Terri graphed a system of linear inequalities. Which ordered pairs are a part of the solution set for this system of linear inequalities? Select two that apply.
(-1, 5)
(2, -4)
(7, -1)
(4, 6)
(5, 2)

Terri Graphed A System Of Linear Inequalities. Which Ordered Pairs Are A Part Of The Solution Set For

Answers

Answer 1

Answer: (2, -4) and (7, -1)

Step-by-step explanation:

Ok, the solutions of the system of inequalities are all the points that lie on the blue shaded part of the graph or in the solid line.

So, in order to see if the points are solutions of the system, then you need to locate the point in the graph and see if it is inside the shaded region or in the solid line (only in the segment that "touches" the shaded region).

Now, we want to find the equation of the solid line, we can see that it passes through the points (0, 6) and (6, 0)

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then, in this case, the slope is:

a = (0 - 6)/(6 - 0) = -1.

And to find the value of b, we have that when x = 0, y = 6.

y = 6 = -1*0 + b

6 = b

The equation is:

y = -1*x + 6

(-1, 5) is not in the blue region nor in the solid line, so this is not a solution.

(7, - 1) this point is near the solid line, let's test it:

y(7) = -1*7 + 6 = -1

So the point (7, -1) is on the solid line, and is the other solution of the system.


Related Questions

write down the missing number in the following 1,,4,9,16,25,?​

Answers

Answer:

36

Step-by-step explanation:

you know the number based on the sequence

the values increase in the form of x+2

e.g. 4-1=3

      9-4=5

      16-9=7

      25-16=9

you can see the number adds 2 for every increased number

and by following this sequence you will get the number 36

     

Answer:

by the square of 1, 2 ,3 the sequence has been made

Step-by-step explanation:

1 for 1²

4 for 2²

9 for 3²

16 for 4²

25 for 5²

so the later one will be 36 for 6²

so the answer is 36 thats all

Shawna, Dexter, and Tilana are solving the equation Negative 2.5 (5 minus n) + 2 = 15. Shawna says, "I can begin by dividing each side of the equation by –2.5 to get 5 minus n minus StartFraction 2 over 2.5 EndFraction = Negative StartFraction 15 over 2.5 EndFraction." Dexter says, "I can begin by distributing Negative 2.5 to get Negative 12.5 + 2.5 n + 2 = 15." Tilana says, "I can begin by multiplying each side of the equation by Negative StartFraction 1 over 2.5 EndFraction to get 5 minus n minus 0.8 = negative 6." Which students are correct? only Shawna and Tilana only Shawna and Dexter only Dexter and Tilana Shawna, Dexter, and Tilana

Answers

Answer:

All three students are correct

Step-by-step explanation:

Given

Equation: -2.5(5 - n) + 2 = 15

Required

Which students are correct

To determine which of the students are correct; we have to test each of their solutions

SHAWNA

Statement: Dividing each side of the equation by –2.5 to get 5 - n - 2/2.5 = -15/2.5

[tex]\frac{-2.5(5 - n) + 2}{-2.5} = \frac{15}{-2.5}[/tex]

Split fractions

[tex]\frac{-2.5(5 - n)}{-2.5} + \frac{2}{-2.5} = \frac{15}{-2.5}[/tex]

Simplify each fraction

[tex]5-n - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]

Shawna is correct...

DEXTER

Statement: Distributing -2.5 to get -12.5 + 2.5 n + 2 = 15.

[tex]-2.5(5 - n) + 2 = 15[/tex]

Open brackets

[tex]-12.5 + 2.5n + 2 = 15[/tex]

Dexter is also correct...

TILANA

[tex]\frac{-1}{2.5}(-2.5(5 - n) + 2) = \frac{-1}{2.5} * 15[/tex]

Open brackets

[tex]\frac{-1}{2.5}(-2.5(5 - n)) + \frac{-1}{2.5}(2) = \frac{-1}{2.5} * 15[/tex]

Simplify each bracket

[tex](5 - n) + \frac{-2}{2.5} = \frac{-15}{2.5}[/tex]

[tex](5 - n) - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]

[tex]5 - n - 0.8 = -6[/tex]

Tilana is also correct

Hence, all three students are correct

Answer:

All of them are correct

Step-by-step explanation:

The domain of this function is {-12, -6, 3, 15}. y=-2/3x+7 Complete the table based on the given domain.

Answers

Answer:

Step-by-step explanation:

Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.

Given function is,

[tex]y=-\frac{2}{3}x+7[/tex]

If Domain (input values) of this function is,

{-12, -6, 3, 15}

Table for the input-output values of this function,

x        -6         3        15       -12

y        11         5         -3        15

Answer:

Step-by-step explanation:

Find conditions on the slope of a line through (9, 4) such that the x-intercept is negative and the slope is greater than its y-intercept. 2/5 < m < 4/9 m < 2/5 or m > 4/9 9/5 < m < 9/4 m < 9/5 or m > 9/4 Not enough information

Answers

Answer:

9/5 < m < 9/4

Step-by-step explanation:

The conditions are:

The line passes through (9,4)x-intercept is negativeThe slope (m) is greater than its y-intercept

If we take a point like (-1,0)

Slope (m) = change in y ÷ change in x = [tex]\frac{0 - 9}{-1 - 4} = \frac{-9}{-5}[/tex] = 9/5

This point satisfies the conditions above since;

The line passes through points (9,0) and (-1,0)The x-intercept is negative i.e -1The y-intercept is 0 and the slope which equals 9/5 is greater than 0

From the choices given;

we can say that:

m > 9/5 and m < 9/4

And can be expressed as;

9/5 < m < 9/4

A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 43 cables and apply weights to each of them until they break. The 43 cables have a mean breaking weight of 774.3 lb. The standard deviation of the breaking weight for the sample is 15.4 lb. Find the 90% confidence interval to estimate the mean breaking weight for this type cable.

Answers

Answer:

At   90% confidence interval, the estimate of the mean breaking weight is (770.45, 778.15)

Step-by-step explanation:

Given that:

sample size n =43

sample mean x = 774.3

standard deviation = 15.4

confidence interval = 90%

At C.I of  90% , the level of significance ∝ = 1 - C.I

the level of significance ∝ = 1 - 0.90

the level of significance ∝ = 0.10

The critical  value for z at this level of significance is [tex]z_{\alpha/2} = z_{0.10/2}[/tex]

[tex]z_{0.05}[/tex] = 1.64

The margin of error can be computed as follows:

Margin of error = [tex]\mathtt{z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}}[/tex]

Margin of error =  [tex]\mathtt{1.64 \times \dfrac{15.4}{\sqrt{43}}}[/tex]

Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{6.5574}}[/tex]

Margin of error  = [tex]\mathtt{1.64 \times2.3485}[/tex]

Margin of error = 3.8515

The mean breaking weight  for the 90% confidence interval is = [tex]\mathtt{\overline x \pm E < \mu }[/tex]

=  [tex]\mathtt{\overline x - E < \mu < \overline x + E}[/tex]

= ( 774.3 - 3.8515  < μ < 774.3 + 3.8515 )

= (770.4485, 778.1515)

[tex]\simeq[/tex] (770.45, 778.15)

Find the product of all real values of $r$ for which $\frac{1}{2x}=\frac{r-x}{7}$ has exactly one real solution.

Answers

Answer:

-14

Step-by-step explanation:

Observe first that $x=0$ is not a solution to the equation since it makes the denominator of $\frac{1}{2x}$ equal to 0. For $x\neq 0$, we may multiply both sides by both denominators and move all the resulting terms to the left-hand side to get $2x^2-2rx+7=0$. Observe that there are two ways the original equation could have exactly one solution. Either $2x^2-2rx+7=0$ has two solutions and one of them is 0, or else $2x^2-2rx+7=0$ has exactly one nonzero solution. By trying $x=0$, we rule out the first possibility.

Considering the expression $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ for the solutions of $ax^2+bx+c=0$, we find that there is exactly one solution if and only if the discriminant $b^2-4ac$ is zero. Setting $(-2r)^2-4(2)(7)$ equal to 0 gives $4r^2-4(14) = 0$. Add 4(14) and divide by 4 to find $r^2=14$. The two solutions of this equation are $\sqrt{14}$ and $-\sqrt{14}$, and their product is $\boxed{-14}$.

The value of r from the given equation is r=(2x²+7)/2x.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is [tex]\frac{1}{2x}=\frac{r-x}{7}[/tex].

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

By cross multiplication, we get

7=2x(r-x)

7=2rx-2x²

2rx=7+2x²

r=(2x²+7)/2x

Therefore, the value of r from the given equation is r=(2x²+7)/2x.

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Can someone please explain this to me? I don’t understand it at all.

Answers

Segment AB was added to segment BC to get segment AC

representing it as an equation,

AC = AB + BC.

Substitute the values in the equation which means you are going to find the value of x.

77 = x + 16 + 4x +11

77 = 5x + 27

(group like terms)

77 - 27 = 5x

50 = 5x

( divide both sides by 5 to make x stand alone)

50/5=5x/5

10 = x

therefore ,x = 10.

To prove that segment AB =26, place x in the statement

AB = x+16

AB=10+16

AB=26/

Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m = 12s, where m is the number of minutes and s is the number of sketches.
If Lori made of a sketch, she spent minutes sketching.

Answers

Answer:

A. 9

Step-by-step explanation:

Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m=12s where m is the number of minutes and s is the number of sketches if Lori made 3/4 of a sketch she spent A.9 B.12 C.16 D.20 minutes sketching

Solution

m= number of minutes

s= number of sketches

Equation is

m=12s

If Lori made 3/4 of the sketch, then the time spent is ?

s=3/4

m=?

m=12s

m= 12 × 3/4

=36/4

=9

m=9

If Lori made 3/4 of the sketch, then she spent 9 minutes sketching.

Answer:

I hope this helps

Step-by-step explanation:

A player has 15 hits in 34 times at bat and then gets
another hit. Did the batting average increase? Explain.

Answers

Answer:

yes, his batting average will increase bcz average of a batsmen is the sum of total hits per ball.

Divide a 6 and 3/4 inch line into three parts so that each part is 1/4 inch shorter than the one before it.

Answers

Answer:

Hey there!

x+x+1/4+x+2/4

3x+0.75=6.75

3x=6

x=2

The lines are 2, 2 1/4, and 2 2/4.

Let me know if this helps :)

The three numbers or parts are 2 , 2 1/4 and 2 1/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be n = 6 3/4

Now , for the number to be divided into three parts where each number is 1/4 shorter than the one before it ,

Let the first divided number be = x

So , the second number will be 1/4 more than the first number

Second number = x + 1/4

And , the third number will be 1/4 more than the second number

Third number = x + 1/4 + 1/4

                       = x + 2/4

                       = x + 1/2

Now, the equation will be

The sum of all three numbers = 6 3/4

So ,

x + ( x + 1/4 ) + ( x + 1/2 ) = 6 3/4

3x + 3/4 = 6 3/4

Subtracting 3/4 on both sides , we get

3x = 6

x = 2

Substituting the values of x in the equation , we get

First number = 2

Second number = 2 1/4

Third number = 2 1/2

Hence , the three numbers or parts are 2 , 2 1/4 and 2 1/2

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jawaban dari 5x – 7 = 13 adalah....... dijawab ya....

Answers

Answer:

x = 4

Step-by-step explanation:

5x - 7 = 13

5x = 13 + 7

5x = 20

x = 20/5

x = 4

5x - 7 = 13
5x = 13+7
the sign must change bcoz U’re moving a - number to the other side of the equal sign.
5x/5= 20/5
X=4

you took a 20 question test and received a 65% on the test. how many question did you answer correctly

Answers

you answered 13 correct, you can search this up by putting 65 percent of 20 and you would get the answer, just in case you have other questions like this!

whats the factored form of 6x 2 - 8x - 8 = 0

Answers

Answer:

x = -2/3 , 2

Step-by-step explanation:

Factor 2  out of   6 x^ 2 − 8 x − 8

2 ( 3 x^ 2 − 4 x − 4 ) = 0

Factor

2 ( 3 x + 2 ) ( x − 2 ) = 0

Set  3 x + 2  equal to  0  and solve for  x

x = -2/3

Set  x − 2  equal to  0  and solve for  x

x = 2

The final solution is all the values that make 2 ( 3 x + 2 ) ( x − 2 ) = 0

x = -2/3 , 2

Hope this can help you

 

David is selling floral arrangements. Each arrangement uses 1 vase and 12 roses. Each vase costs David $2.00. Let C be the total cost of the arrangement and r be the cost of 1 rose. Which equation should David use to find the total cost of each arrangement? C = 12r + 2 12 = C + 2r C = 2r + 12 12C = r + 12

Answers

Answer:

C = 12r + 2

Step-by-step explanation:

To model the equation for the cost of Each Arrangement.

We need to itemize all parameters needed.

An arrangement consists of

1. one vase

2. twelve roses

Given that 1 vase cost $2 and

The cost of one rose is r

Let the total cost of the arrangement be C

Hence C is the  cost of the vase plus the cost of 12 roses combined, this is given as

[tex]C = 12r + 2[/tex]

Find the value of 7v-6 given that -8v-9=7 Simplify your answer as much as possible 7v-6=

Answers

Answer:

-20

Step-by-step explanation:

-8v-9=7

Add 9 to each side

-8v-9+9=7+9

-8v = 16

Divide by -8

-8v /-8 = 16/-8

v = -2

Now find

7v -6

7(-2) -6

-14 -6

-20

Answer:

negative 20?

Step-by-step explanation:

I tried to remember what I learned about a year ago...

The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53

Answers

Answer:

53$

Step-by-step explanation:

They tell you the equation of how much the coin is worth after x amount of years

Step 1: Substitute x=19 into the equation y=2x+15

y = 2(19) + 15

Step 2: Solve for y

y = 2(19) + 15

y = 38 + 15

y = 53

Therefore the coin is worth 53 dollars after 19 years

Answer:

53

Step-by-step explanation:

Got it correct on Edu. 2020

A tour group is going sea diving. Sea level is O feet. The ocean
floor is -18 feet. One diver is already at -11 feet. The tour guide
is keeping watch on the deck at 5 feet above sea level directly
above the diver. What is the distance from the tour guide to the
diver? Draw and label a number line to justify your answer.​

Answers

Answer:

16 feet.

Step-by-step explanation:

Please refer to the attached diagram for the clear understanding of the given question statement.

A is the position of tour guide on deck.

B is the sea level. (Can be considered as zero on the number line)

C is the position of Diver and

D is the point on ocean floor.

Below sea level dimensions are given as negative in the question statement.

As per given statement,

AB = 5 feet

BC = 11 feet (Ignoring the negative sign as negative sign only depicts that it is below sea level)

BD = 18 feet

To find:

Distance from tour guide to the diver = ?

Solution:

We have to actually find the value of AC here as per the image attached.

AC = AB + BC = 5 + 11 = 16 feet

Find a linear inequality with the following solution set. Each grid line represents one unit.
Pllzzzzzzz help!!!!!!!!!!

Answers

The equation of the line is y = 3x - 4, so the inequality is y <= 3x - 4.

Answer:

y <= 3x - 4

Standard form: [tex]3x-y-4\geq 0[/tex]

Copy-paste: 3x-y-4>=0

after allowing 20 percent discount on the marked price of a radio 15 percent vat is levied on it , if its price become rs 22080 ,what amount was levied in the vat​

Answers

Answer:

Step-by-step explanation:

Hello, let's say that the price was P, a real number.

After 20% discount it become P - 20% * P = P* (1-20%) = P * (1 - 0.2)

= P * 0.8

And then we take 15% for the VAT, the new price become P * 0.8 * ( 1 + 15%)

= P * 0.8 * 1.15

And this is equal to 22080, so

P * 0.8 * 1.15 = 22080

and the amount of the VAT is P *0.8 * 0.15

[tex]=\dfrac{22080}{1.15}*0.15=2880[/tex]

Hope this helps.

Thank you.

Need help on the third question. how do i generalise the number of ways to win.(check the attatchment)

Answers

Answer:

  2n+2 ways to win

Step-by-step explanation:

You generalize by observing patterns in the way you solve the smaller problems.

The number of winning moves is 2n+2: the total of the number of diagonals, columns, and rows.

For an n×n board, there are 2 full-length diagonals, n columns, and n rows, hence 2+n+n = 2n+2 ways to win.

AB =
Round your answer to the nearest hundredth.
B
?
2
25°
С
A

Answers

Answer:

? = 4.73

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp / hyp

sin 25 = 2 / ?

? sin 25 = 2

? = 2 / sin 25

? =4.732403166

To the nearest hundredth

? = 4.73

heeelllpppppppppppppppp

Answers

Answer:

2/5m - 1/5

Step-by-step explanation:

2(1/5m - 2/5) + 3/5

= 2/5m - 4/5 + 3/5

= 2/5m - 1/5

Answer:

[tex]\frac{2m-1}{5}[/tex]

Step-by-step explanation:

[tex]2\left(\frac{1}{5}m-\frac{2}{5}\right)+\frac{3}{5}\\\\2\left(\frac{1}{5}m-\frac{2}{5}\right)=2\left(\frac{m}{5}-\frac{2}{5}\right)\\\\\frac{m}{5}-\frac{2}{5}=\frac{m-2}{5}\\\\=\frac{2\left(m-2\right)}{5}+\frac{3}{5}\\\\\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{2\left(m-2\right)+3}{5}\\\\\mathrm{Expand}\:\left(m-2\right)\cdot \:2+3:\quad 2m-1\\\\=\frac{2m-1}{5}[/tex]

Answer ASAP, Will give brainliest!!
Find the length and the mid- segment
Isosceles Trapizoid
AB=48
BC=19
CD=24
DA=19


Answers

Answer:

Step-by-step explanation:

Length of mid-segment = [tex]\frac{(AB+CD)}{2}[/tex]

     [tex]= \frac{48 +24}{2}\\\\\\=\frac{72}{2}\\\\[/tex]

    = 36 in

Sophie is making a copy of an angle. The original angle will be labeled G and the new angle will be labeled B. She has just finished using a compass, with the point on G, to draw an arc that intersects both rays of angle G. Which of the following should she do next

Answers

Answer:

The next step is;

Label the two intersection points

Step-by-step explanation:

To make a copy of an angle, the steps are;

1) Draw the rays of the original angle passing through the point B

2) Open the compass slightly and place the compass point on the vertices G where the two rays meet to draw an arc that intersect both rays

3) Label the point of intersection of both rays points C and D

4) With the compass still opened to the same width, move the compass to the point B on the line the angle is to be copied and draw a similar arc intersecting the ray at J

5) Open the compass to the width of C and D on the original angle and place the compass at point J to mark the arc on the copied angle location at M

6) Draw a line from B passing through M to complete the second ay of the copied angle.

A portion of a line or Ray that extends from one point to another point is called what

Answers

Answer: line segment

Step-by-step explanation:

A line segment is a ray that extends from one point to another. Hope this helps!

Answer:

line segment

Step-by-step explanation:

If a portion of a line has two endpoints (two little black dots on its end), then it is a line segment.

If it has one dot and an arrow, its a ray. This has an endpoint and goes on forever in the direction of the arrow.

at the rate of 50 mph a car can travel 14.6 miles for each gallon of gas used. On a trip Mr. Hanson used 12.5 gallons of gas traveling at a speed of 50 mph. the number of miles covered during the trip was:

Answers

Answer:

182.5 miles in the rate of 50 mph.

Step-by-step explanation:

1 gallon = 14.6 miles in the rate of 50 mph

12.5 gallons = ?

12.5 × 14.6 = 182.5 miles in the rate of 50 mph.

The number of miles covered during the trip was 182.5 miles.

Given that, at the rate of 50 mph, a car can travel 14.6 miles for each gallon of gas used. On a trip, Mr Hanson used 12.5 gallons of gas travelling at a speed of 50 mph.

What is a unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, 1 gallon = 14.6 miles at the rate of 50 mph

12.5 × 14.6 = 182.5 miles in the rate of 50 mph.

Therefore, the number of miles covered during the trip was 182.5 miles.

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help plz anyone :( will mark

Answers

Answer:

area of square - area of circle

s² - pie r²

3² - 3.14 x1 x1

9 - 3.14 cm²

your answer is 5.86cm²

this is area of shaded region

nearest hundered is 6cm²

plz brainlist me bro I need it plz

her answer is wrong brainlist me

Answer:

The area of the shaded region is

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the rectangle minus the area of the circle

The rectangle is a square

So.... Plz check rest in the pic!

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

A player has 15 hits in 34 times at bat and then gets another hit. Did the batting average increase explain

Answers

The batting average of each player is the number of hits divided by the number of at bats. Average for First player: 34 divided by 102. Average for other player: 24 divided by 96. First player's average is 0.333; that is 33.3% of his times at bat resulted in a hit. Other player's average is 0.243; 24.3% of times at bat resulted in a hit.
Answer: Yes

Explanation:

BA= H/AB

BA = 15/34 = 0.441

But then he gets another hit:

BA = 16/35 = 0.457

The population distribution of SAT scores is normal with a mean of μ=500 and a standard deviation of SD=100. For example, what is the probability of randomly selecting an individual from this population who has an SAT score greater than 700?

Answers

Answer:

0.02275

Step-by-step explanation:

We use the z score formula to solve for this

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

In the above question:

mean of μ=500

a standard deviation of SD=100

raw score x = 700

Hence, z score = (700 - 500)/ 100

= 200/100

= 2

z score = 2

Using the z score table of normal distribution to find the Probability of z = 2

P( x = z)

= P(x = 700)

= P( z = 2)

= 0.97725

P(x>700) = 1 - P(x = 700)

= 1 - 0.97725

= 0.02275

Therefore, the probability of randomly selecting an individual from this population who has an SAT score greater than 700 is 0.02275

show that the point p(-6,2), Q(1,7) and R(6,3) are the vertices of scalene triangle​

Answers

Answer:

  the sides are different lengths as shown in the diagram

Step-by-step explanation:

Plotting the three points, you can see by "inspection" that the middle length side (PQ) is longer than the shortest side (QR) and shorter than the longest side (PR). You could use the distance formula to show this, or you can use a scale to measure the drawing.

A triangle with three unequal sides is a scalene triangle. ∆PQR is scalene.

Other Questions
Can somebody help me with parametric equations? I do not have a TI-84 at the moment! Thanks!1. Graph the following set of parametric equations on your calculator and select the matching graph. 2. Transform the given parametric equations into rectangular form. Then identify the conic. Which statements about iambic pentameter are true? Check all that apply.An iamb consists of an unstressed syllable followed by a stressed syllable.A line of iambic pentameter contains five iambs, or ten syllables.A line of iambic pentameter contains four iambs, or eight syllables.Iambic pentameter does not follow a regular pattern of stressed and unstressed syllables.Shakespeare uses iambic pentameter in his sonnets. solve the following system of equations1/2x+1/4y=-2-2/3x+1/2y=6x=y= please help! algebra 2 work a. What were HCA's liabilities-to-assets ratios and times-interest-earned ratios in the years 2005 through 2009?b. What percentage decline in EBIT could HCA have suffered each year between 2005 and 2009 before the company would have been unable to make interest payments out of operating earnings, where operating earnings is defined as EBIT?c. How volatile have HCA's cash flows been over the period 2005 - 2009?d. Calculate HCA's return on invested capital (ROIC) in the years 2005 - 2009.HCA INC ANNUAL INCOME STATEMENT ($ MILLIONS, EXCEPT PER SHARE) Dec09 Dec08 Dec07 Dec06 Dec05 Sales $ 30,052 $ 28,374 $ 26,858 $ 25,477 $ 24,455 Cost of Goods Sold 24,826 24,023 22,480 21,448 20,391 Gross Profit 5,226 4,351 4,378 4,029 4,064 Depreciation 1,425 1,416 1,426 1,391 1,374 Operating Profit 3,801 2,935 2,952 2,638 2,690 Interest Expense 1,987 2,021 2,215 955 655 Non-Operating Income/Expense 188 256 661 179 412 Pretax Income 2,002 1,170 1,398 1,862 2,327 Total Income Taxes 627 268 316 625 725 Minority Interest 321 229 208 201 178 Net Income $ 1,054 $ 673 $ 874 $ 1,036 $ 1,424 ANNUAL BALANCE SHEET ASSETS Dec09 Dec08 Dec07 Dec06 Dec05 Cash & Equivalents $ 312 $ 465 $ 393 $ 634 $ 336 Net Receivables 3,692 3,780 3,895 3,705 3,332 Inventories 802 737 710 669 616 Other Current Assets 1,771 1,319 1,207 1,070 931 Total Current Assets 6,577 6,301 6,205 6,078 5,215 Gross Plant, Property & Equipment 24,669 23,714 22,579 21,907 20,818 Accumulated Depreciation 13,242 12,185 11,137 10,238 9,439 Net Plant, Property & Equipment 11,427 11,529 11,442 11,669 11,379 Investments at Equity 853 842 688 679 627 Other Investments 1,166 1,422 1,669 1,886 2,134 Intangibles 2,577 2,580 2,629 2,601 2,626 Deferred Charges 418 458 539 614 85 Other Assets 1,113 1,148 853 148 159 TOTAL ASSETS 24,131 24,280 24,025 23,675 22,225 LIABILITIES Long Term Debt Due In One Year 846 404 308 293 586 Accounts Payable 1,460 1,370 1,370 1,415 1,484 Taxes Payable - 224 190 - - Accrued Expenses 2,007 1,912 1,981 1,868 1,825 Total Current Liabilities 4,313 3,910 3,849 3,576 3,895 Long Term Debt 24,824 26,585 27,000 28,115 9,889 Deferred Taxes - - - 390 830 Minority Interest 1,008 995 938 907 828 Other Liabilities 2,825 2,890 2,612 1,936 1,920 TOTAL LIABILITIES 32,970 34,380 34,399 34,924 17,362 Preferred Stock 147 155 164 125 - Common Stock 1 1 1 1 4 Capital Surplus 226 165 112 - - Retained Earnings (9,213) (10,421) (10,651) (11,375) 4,859 Common Equity (8,986) (10,255) (10,538) (11,374) 4,863 TOTAL EQUITY (8,839) (10,100) (10,374) (11,249) 4,863 TOTAL LIABILITIES & EQUITY $ 24,131 $ 24,280 $ 24,025 $ 23,675 $ 22,225 _is a molecule that directs all of a cells activities Why is this excerpt a good example of a feature often found in a myth? Eye color is an example of 1. Transcriptional control 2. gene expression 3. translational control 4. gene regulation hii guys ..help What does a text need for it to become a novel? In complete sentences, explain the following: Is 700 a good estimate for the sum of 435 and 368? If it is, explain why it is a good estimate. If it is not, explain why it is a bad estimate. structure of leaf is complementary to its function explain What does it mean to be a good citizen? Why is this important? For the lengths AB, BC, and AC to equal 7,6, and 13 respectively, what is thevalue of x? 50q + 43 > 11q + 70 Describe a precaution a person can take to avoid HIV exposure or transmission, and evaluate the effectiveness of this precaution. (2 points) 4. whatis the amount of energy usedor exerted during the process of dancingA. TimeB. ForceC. Rhythm Kenton and Denton Universities offer executive training courses to corporate clients. Kenton pays its instructors $6,405 per course taught. Denton pays its instructors $305 per student enrolled in the class. Both universities charge executives a $349 tuition fee per course attended.A. Prepare income statements tor Kenton and Lenton, assuming that 21 students athend a course.B. Kenton University embark on a strategy to entice students from Denton University by lowering its tuition to $240 per course. Prepare an income statement for Kenton assuming that the university is successful and enrolls 40 students in its course. C. Denton University embarks on a strategy to entice students from Kenton University by lowering its tuition to $240 per course. Prepare an income statement for Denton, assuming that the university is successful and enrolls 40 students in its course. D. Prepare income statements for Kenton and Denton Universities, assuming that 10 students attend a course, and assuming that both universities charge executives a $450 tuition fee per course attended. The monetary value of a homemaker's time CANNOT be estimated by A. comparing the value of the services to the spouse's wage rate. B. measuring the marginal value of the services by the homemaker's wage rate received in a part-time job. C. measuring the services in terms of current market prices. D. measuring the value of the services by looking at the homemaker's opportunity costs. Radoski Corporation's bonds make an annual coupon interest payment of 7.35% every year. The bonds have a par value of $1,000, a current price of $1,470, and mature in 12 years. What is the yield to maturity on these bonds Event A: Flipping heads on a coin #1. Event B: Flipping heads on a coin #2. What is P(A and B)?