Is the ordered pair (4, -2) a solution to this system? Explain why or why not.

Is The Ordered Pair (4, -2) A Solution To This System? Explain Why Or Why Not.

Answers

Answer 1

Answer: No, it would not be a solution.

Step-by-step explanation:

The solution to a systems of equations is the point where the lines intersect. The lines do not intersect at (4,-2) so it is not a solution. The lines do intersect at (-2,4), so (-2,4) would be the solution to this system.


Related Questions

A collar of Styrofoam is made to insulate a pipe. Find it's volume. That large R is to the outer rim. The smaller r us to the edge of the insulation. Use pi=3.14

Answers

Answer:

the volume of the pipe is 649.98 cubic inches.

Step-by-step explanation:

We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.

We will use volume of hollow cylinder formula to solve our given problem.

[tex]\text{Volume of hollow cylinder}=\pi R^2h-\pi r^2h[/tex]

where,

R = Radius of external cylinder,

r = Radius of internal cylinder.

h = Height of cylinder.

substituting our given values in above formula, we will get:

[tex]\text{Volume of hollow cylinder}=\pi (5\text{ in})^2(\text{23 in})-\pi (4\text{ in})^2(\text{23 in})\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 ((5\text{ in})^2-(4\text{ in})^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (25\text{ in}^2-16\text{ in}^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (9\text{ in}^2)\text{Volume of hollow cylinder}=649.98\text{ in}^3[/tex]

Therefore, the volume of the pipe is 649.98 cubic inches.


The table shows the results of an experiment in which a spinner was spun 50 times. Find the experimental probability of each outcome.

Answers

Answer:

Option "A" is the correct answer to the following question.

Step-by-step explanation:

Given:

Total number of experiment = 50

Find:

Probability to get less then 4:

Computation:

⇒ Total number can be get less then 4 = 4+2+3

⇒ Total number can be get less then 4 = 9

⇒ Probability of an outcome = Total number of outcomes /  Total number of experiment

⇒ Probability to get less then 4 = Total number can be get less then 4 / Total number of experiment

Probability to get less then 4 = 9 / 50

Can someone please help with these 4 questions?

Answers

Answer:

Q4. 2144     Q5. -16     Q6.   Downwards     Q7.   0 seconds

Step-by-step explanation:

Q4.    h(t) = -16t² + 2400    Substitute 4 for t

h(4) = -16(4)² + 2400          Simplify the exponent

h(4) = -16(16) + 2400          Multiply

h(4) = -256 + 2400            Add

h(4) = 2144

Q5.   I graphed the equation on the graph below to find the instantaneous velocity. The instantaneous velocity is -16.

Q6.   At 4.5 seconds, the water rocket is traveling down because the highest point the rocket goes is at 2.8, so 4.5 is traveling downwards.

Q7.   0 seconds because the rocket goes 0 feet in 0 seconds.

If these answers are correct, please make me Brainliest!

Regina bought a book for $12 and a game for $14 she paid $40 how much change should Regina receive

Answers

Answer:Regina recieved $14 dollars of change

Step-by-step explanation:

12+14=26

40-26=14

The change received by Regina is $14.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of  few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Regina bought a book for price = $12

Regina bought a game for price = $14

Total amount paid by Regina = $40

The Regina should receive the change,

⇒ [tex]Change = 40-(12+14)[/tex]

⇒ [tex]Change = 40-26[/tex]

⇒ [tex]Change = 14[/tex]

Hence we can conclude that the change received by Regina is $14.

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can someone help me plzzzzzzzzzzzzzzzzzzzzzzzzz it's for 10 poits

Answers

Answer:

Step-by-step explanation:

3^2 + 4^2 = 5 ^2

in right triangle. c is always the longest

Answer:

[tex]3^{2} +4^{2}+ 5^{2}[/tex]

Step-by-step explanation:

It takes two men six hours to paint a fence. How long would it take three men to paint the same fence?

Answers

Answer:

Step-by-step explanation:

If 2 men take 6 hrs to paint the fence, then

  3 men would  obviously take  less time to paint the same fence;

            2 men= 6 hrs

            3 men= ?

thus, the time taken by three men to paint the same fence=2/3 ×6 hrs

                                                                                                = 4 hrs

A day of the week is randomly chosen What is the probability of choosing Monday or a day that starts with the letter
S?
P(Monday)
P(starts with 5)
P(Monday or starts with )​

Answers

Answer:

Well, P(Monday)= 1/7 = 14.3%

P(starts with S)= 2/7 = 28.6%

P(Monday or starts with S)= 3/7 = 42.9%

Step-by-step explanation:

Have a good day!!!

The probability of choosing Monday is,

P = 1 / 7

And, the probability of choosing starts with S is,

P = 2/7

And, the probability of choosing Monday or starts with S is,

P = 3/7

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A day of the week is randomly chosen.

Since, Number of days in a week = 7

Hence, the probability of choosing Monday is,

P = 1 / 7

And, the probability of choosing starts with S is,

P = 2/7

So, the probability of choosing Monday or starts with S is,

P = 2/7 + 1/7

P = 3/7

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Suppose that 15 years ago, a benefactor set up an account for your education. This benefactor made a single deposit of $20,000 that has been earning 6% interest compounded monthly. Since the deposit 15 years ago, no money has been added to or taken from the account. Will this account be sufficient to cover tuition for all four years that you will be in school? (Answer this question using the school that you chose for parts C and D and the formula given below.) Make sure that the "time in years" that you use is 15 years + the number of years you will be at school.

Answers

Answer:

No it wont

Step-by-step explanation:

Find the parallelogram.

Answers

Answer:

area - 120 cm

Step-by-step explanation:

Answer:

A = 120 cm^2

P = 54 cm

Step-by-step explanation:

Area of parallelogram: = base * height

A = 15 cm * 8 cm = 120 cm^2

Perimeter of parallelogram = sum of lengths of sides

P = 15 cm + 15 cm + 12 cm + 12 cm = 54 cm

write an equation that represents the points (2,6)(0,3) but a linear kind of an equation in any form

Answers

Answer:

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

Step-by-step explanation:

The property taxes on a home varies directly with the value of the home. Jack currently lives in a home worth $172,000 and pays $13,760 in taxes.

Answers

Okay, where is your question?

How did mendeleev arrange the elements ?

Answers

Mendeleev realized that the physical and chemical properties of elements were related to their atomic mass in a 'periodic' way, and arranged them so that groups of elements with similar properties fell into vertical columns in his table.

x² + 6x +8=0
In factoring algorithm

Answers

Answer:

(x+2)(x+4)

Step-by-step explanation:

Answer:

( x + 2 ) ( x + 4 )

Step-by-step explanation:

Two terms of an arithmetic sequence are a12=70 and a30=124. Write an explicit rule for the nth term.
An = ?

Answers

Answer:

The explicit formula is Tn = 34 + 3n

Step-by-step explanation:

The nth term of an arithmetic sequence can be represented using the formula

Tn = a + (n-1)d

where a is the first term , n is the number of terms and d is the common difference

For the 12 term(a12), n = 12

70 = a + (12-1)d

70 = a + 11d •••••••(i)

For the 30th term, n = 30

124 = a + (30-1)d

124 = a + 29d •••••••(ii)

Now, directly subtract equation i from ii, we have;

124-70 = (a-a) + (29d-11d)

54 = 18d

d = 54/18

d = 3

To get a , we substitute the value of d in any of the equations

let’s use the first

70 = a + 11d

substituting d = 3

70 = a + 11(3)

70 = a + 33

a = 70-33

a = 37

Thus the explicit formula for the nth term will be

Tn = a + (n-1)d

where a = 37 and d = 3

Tn = 37 + (n-1)3

Tn = 37 + 3n -3

Tn = 34 + 3n

John is digging a rectangular hole. The area of the rectangle is 8 square feet. John digs 4 feet down into the ground. What is the volume of John's hole in cubic feet?

Answers

Answer:

32 cubic feet

Step-by-step explanation:

To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.

In this case we have a rectangular hole that has an area of 8 square feet.

As we said before:

Volume = Area x height.

If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:

Volume = 8 x 4 = 32 cubic feet.

Thus, the volume of John's hole is 32 cubic feet.

Answer:

32 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is given by;

Length*width*Height

or, Area*height

Height = 4 feet

Area= 8 square feet

Conversion to Cubic feet is given by;

(cubic feet) = (square feet) × (height in feet)

Therefore,

Cubic feet = 8 square feet*4 feet

= 32 cubic feet.

WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!
Find the area of the shaded segment of the circle.

Answers

[(81*3.14)/4] - (81/2)

Answer:

The shaded segment  = The arc area - The triangle

The arc area = pi x radius^2 x angle/360

                     = pi x 9^2 x (360-270)/360 = 63.61 (m2)

The triangle area = 9 x 9/2 = 41.5 (m2)

(because this is right triangle)

=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)

A student is deriving the quadratic formula. Her first two steps are shown.

Step 1: –c = ax2 + bx

Step 2:

Which best explains or justifies Step 2?

Answers

Please consider the complete question.

A student is deriving the quadratic formula. Her first two steps are shown. Step 1: [tex]-c = ax^2 + bx[/tex]

Step 2: [tex]-c = a[x^2+\frac{b}{a}x][/tex]

Which best explains or justifies Step 2?

A. division property of equality

B. factoring the binomial

C. completing the square

D. subtraction property of equality

We can see that in step 2 student has factored the right side of equation.

The student factored our a from the right side of equation. To factor our a from right side, student has divide the bx term by a.

We can multiply and divide by same quantity in an equation.

[tex]-c = ax^2+a\cdot \frac{b}{a}x[/tex]

Now we can factor out a as:

[tex]-c = a(x^2+\frac{b}{a}x)[/tex]

Therefore, the 2nd step is known as factoring of binomial and option B is the correct choice.

Answer:

it b factoring a binomial on

Step-by-step explanation:

thats on edge

find the sum of the first 15 terms of the goemetric series 3+9+27

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

[8 + (24 x 3)] divided by 7

Use PEMDAS &’ show work .

Answers

Answer:

11.43

Step-by-step explanation:

[8 + (24 x 3)] divided by 7

[8 + (72)] divided by 7

80/7

11.42857142857143

11.43 (I rounded it)

Answer:

11.42

My explanation:

P( )

E *

M x

D /

A +

S -

the first step is to multiply 24x3 because parenthesses go first

the second step is that get the 72 form multiplying and add 8 to it becasue its inside the lines

third step is to divide by 7 and then you get 11.42

Feel free to ask for more help :)

An author published a book which was being sold online. The first month the author
sold 15800 books, but the sales were declining steadily at 5% each month. If this
trend continues, how many total books would the author have sold over the first 11
months, to the nearest whole number?

Answers

Answer:

7110 books

Step-by-step explanation:

5%*15800=0.05*15800=790

790*11=8690

15800-8690=7110

Therefore, 7110 books

Answer: 86,900

Step-by-step explanation:

I changed the 5% into decimal form and made it 0.5. Next, I multiplied 0.5 by 11, which gave me 5.5.

15,800 x 5.5 = 86,900

So, the author would’ve sold 86,900 books in the first 11 months.

(Sorry if wrong. Yeah I think I’m wrong now because I’m not even in high school. Just ignore this lol)

Designer Dolls found that its number of Dress-Up Dolls sold, N, varies directly with their advertising budget, A, and inversely proportional with the price of each doll, P. When $54,000 was spent on advertising and the price of the doll is $90, then 9,600 units are sold. Determine the number of dolls sold if the amount of advertising budget is increased to $144,000.

Answers

Answer:

25,600

Step-by-step explanation:

You can use the rule of three considering that the number of dolls sold varies directly with the advertising budget:

$54,000    →   9,600

$144,000   →       x

[tex]x=\frac{144,000*9,600}{54,000}[/tex]

x=25,600

According to this, the number of dolls sold if the amount of advertising budget is increased to $144,000 is 25,600.

The number of dolls sold should be 25,600.

Given that,

When $54,000 was spent on advertising and the price of the doll is $90, then 9,600 units are sold.

Based on the above information, the calculation is as follows:

[tex]= \$144,000 \times 9,600 \div \$54,000[/tex]

= 25,600

Therefore we can conclude that The number of dolls sold should be 25,600.

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Teri has a bag of colored marbles. Five marbles are red, four are green, ten are blue, and one is white. Marbles are randomly selected out of the bag.
What is the probability of selecting a red marble and then a white marble without replacement?


Answers

Answer:

1/76

Step-by-step explanation:

Five marbles are red,

four are green,

ten are blue, and

one is white.

Sample space S= 5+4+10+1= 20

Probability of selecting a red Mable

Pr(red) = 5/20= 1/4

Probability of selecting a white Mable without replacement after the first selection

Pr(white) = 1/19= 1/19

the probability of selecting a red marble and then a white marble without replacement?

= 1/4*1/19= 1/76

The volume of a right rectangular prism can be found by finding the product 3(6)(12). Which expression could also be used to
determine the volume of this prism?
VX
36(6)
2(3 + 12 + 6)
4(3)(12)
12+6+3
Next
Submit
Save and Exit
Mark this and return
Activity

Answers

Answer:

a

Step-by-step explanation:

A student solved this problem and said the answer was 5 1 4 14 miles. Danielle ran 3 1 8 18 miles on Tuesday, 4 1 2 12 miles on Wednesday, and 5 1 4 14 miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable? No, the answer is not reasonable. It should be about 13 miles. Yes, the answer is reasonable. No, the answer is not reasonable. It should be about 2 miles. No, the answer is not reasonable. It should be about 20 miles.

Answers

Question

A student solved this problem and said the answer was [tex]5\frac{1}{4}[/tex] miles. Danielle ran [tex]3\frac{1}{8}[/tex] miles on Tuesday, [tex]4\frac{1}{2}[/tex] miles on Wednesday, and [tex]5\frac{1}{4}[/tex] miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable?

- No, the answer is not reasonable. It should be about 13 miles.

- Yes, the answer is reasonable.

- No, the answer is not reasonable. It should be about 2 miles.

- No, the answer is not reasonable. It should be about 20 miles.

Answer:

- No, the answer is not reasonable. It should be about 13 miles.

Step-by-step explanation:

Given

Student solution = [tex]5\frac{1}{4}[/tex] miles.

Miles covered on Tuesday = [tex]3\frac{1}{8}[/tex] miles

Miles covered on Wednesday = [tex]4\frac{1}{2}[/tex] miles

Miles covered on Thursday = [tex]5\frac{1}{4}[/tex] miles

Required

- Total distance covered by the student

- Is the student answer reasonable?

To calculate the actual distance covered by Danielle, we simply add the distance covered on each day,

This goes thus

Distance = [tex]3\frac{1}{8}[/tex] + [tex]4\frac{1}{2}[/tex] + [tex]5\frac{1}{4}[/tex]

Convert to Improper Fractions

Distance = [tex]\frac{25}{8}[/tex] + [tex]\frac{9}{2}[/tex] + [tex]\frac{21}{4}[/tex]

Take LCM

Distance = [tex]\frac{25 + 36 + 42}{8}[/tex]

Distance = [tex]\frac{103}{8}[/tex]

Distance = 12.875

From the calculations above, we can conclude that the student's answe is not reasonable because his calculation ([tex]5\frac{1}{4}[/tex] miles) is much more smaller than the actual result 12.875 miles

From option A through D, Only option A is correct because 12.875 miles cam be approximated to 13 miles.

Hence,

A. - No, the answer is not reasonable. It should be about 13 miles.

is the right answer

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+ 72t+ 100 (where t is time in seconds and h is height in feet) How long will it take the coin to reach the stream?

Answers

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

[tex]h(t) = -16t^{2} + 72t + 100[/tex]

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

[tex]h(t) = -16t^{2} + 72t + 100[/tex]

[tex]-16t^{2} + 72t + 100 = 0[/tex]

Multiplying by (-1)

[tex]16t^{2} - 72t - 100 = 0[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]16t^{2} - 72t - 100 = 0[/tex]

So

[tex]a = 16, b = -72, c = -100[/tex]

[tex]\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584[/tex]

[tex]t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61[/tex]

[tex]t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11[/tex]

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

Gary needs to solve 120 problems by a certain day. He calculated, that to finish all the problems in time, he needs to solve 5 problems every day. But Gary's family is going on a trip, and for 4 days Gary will simply have no time to do math. How many problems will he need to be solving every day when he is not on a trip to still be done in time?

Answers

Answer:

To be done in time, he would need to solve 6 questions per day on the days that he is not on trip

Step-by-step explanation:

If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days

Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions

Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work

This makes a total of 1 question per day

Adding this to the 5 questions per day he has before will be = 6 questions per day

Answer:

6 problems

Step-by-step explanation:

Find the surface area and volume of the triangular prism. Remember to show your work on scratch paper.
10 cm
6 cm
5 cm
8 cm

Answers

Answer:

27cm

Step-by-step explanation:

so you are dumb for not nowing it

b) Write 25 x 10° in standard form.

Answers

Answer:

2.5x10^1

Step-by-step explanation:

When the first number goes down, add one to the 10's power

Answer:

2.5x10∧1

Step-by-step explanation:

You have money in an account at 6% interest, compounded monthly. To the nearest year, how long
will it take for your money to double.

Answers

Answer:

Step-by-step explanation:

Let amount now be x , meaning principal is x

and the amount later A is 2x

A = P(1+r/n)^nt

n = 12

2x = x (1 + 0.06/12)^12t

divide through by x

2 = (1+ 0.005)^12t

2 = (1.005)^12t

Take log of both sides

log 2 = 12t log 1.005

12t = log2/log 1.005

12t = 138.975721610697

t = 138.975721610697/12

t = 11.58

t = 12 years

Please help, and thanks in advance!

Answers

Answer:

c i believe sorry if its wrong

Step-by-step explanation:

Answer:

3. A.

4. 136

Step-by-step explanation:

3. Find the surface area:

2 * 1  = 2

3 * 2.2 = 6.6

2 * 3 = 6

3 * 1 = 3

2 + 6.6 + 6 + 3 =  17.6

4. Find the surface area:

5 * 7 * 2 = 70

6 * 4 = 24

7 * 6 = 42

70 + 24 + 42 = 136

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