6. If x + 2 is the only factor of the polynomial P(x),then P(2) is:
Options:
A. Cannot be determined
B. Not Zero
C. R(2)
D. Zero

Answers

Answer 1

Answer:

P(x) = x + 2p(2) = 2 + 2 p(2) = 4

So option B is the answer.

Answer 2

If x + 2 is the only factor of the polynomial P(x) then we need to find the P(2) is Not Zero. Therefore, the option B is the correct answer.

What is standard form of a polynomial?

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.

Given information;

If x + 2 is the only factor of the polynomial P(x) then we need to find the P(2) :

P(x) = x + 2

p(2) = 2 + 2

p(2) = 4

The P(2) is Not Zero.

Therefore, the option B is the correct answer.

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Related Questions

The sum of two numbers is twenty-four. The second number is equal to twice the first number. Call the first number m and the second number n.

Answers

Answer:

Step-by-step explanation:

Hello, please consider the following.

m and n are the two numbers.

m + n = 24, right?

n = 2 m

We replace n in the first equation, it comes

m + 2m =24

3m = 24 = 3*8

So, m = 8 and n = 16

Thank you

The first number is 8 and second number is 16.

What is equation?

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Given that the sum of two numbers is twenty-four

The second number is equal to twice the first number

Let x and y are the two numbers.

According to the question,

m + n = 24,

n = 2m

Substitute the value of n in the first equation,

m + 2m =24

3m = 24

m = 24/3

m = 8

Substitute the value of m in the n = 2m

So, n = 2(8)

n = 16

Hence, the first number is 8 and second number is 16.

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Find the value of 18÷9•3

Answers

Answer:

6

Step-by-step explanation:

18 : 9 · 3 = 2 · 3 = 6

A tank contains 1080 L of pure water. Solution that contains 0.07 kg of sugar per liter enters the tank at the rate 7 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate.Required:a. How much sugar is in the tank at the begining?b. Find the amount of sugar after t minutes.c. As t becomes large, what value is y(t) approaching ?

Answers

(a) Let [tex]A(t)[/tex] denote the amount of sugar in the tank at time [tex]t[/tex]. The tank starts with only pure water, so [tex]\boxed{A(0)=0}[/tex].

(b) Sugar flows in at a rate of

(0.07 kg/L) * (7 L/min) = 0.49 kg/min = 49/100 kg/min

and flows out at a rate of

(A(t)/1080 kg/L) * (7 L/min) = 7A(t)/1080 kg/min

so that the net rate of change of [tex]A(t)[/tex] is governed by the ODE,

[tex]\dfrac{\mathrm dA(t)}[\mathrm dt}=\dfrac{49}{100}-\dfrac{7A(t)}{1080}[/tex]

or

[tex]A'(t)+\dfrac7{1080}A(t)=\dfrac{49}{100}[/tex]

Multiply both sides by the integrating factor [tex]e^{7t/1080}[/tex] to condense the left side into the derivative of a product:

[tex]e^{\frac{7t}{1080}}A'(t)+\dfrac7{1080}e^{\frac{7t}{1080}}A(t)=\dfrac{49}{100}e^{\frac{7t}{1080}}[/tex]

[tex]\left(e^{\frac{7t}{1080}}A(t)\right)'=\dfrac{49}{100}e^{\frac{7t}{1080}}[/tex]

Integrate both sides:

[tex]e^{\frac{7t}{1080}}A(t)=\displaystyle\frac{49}{100}\int e^{\frac{7t}{1080}}\,\mathrm dt[/tex]

[tex]e^{\frac{7t}{1080}}A(t)=\dfrac{378}5e^{\frac{7t}{1080}}+C[/tex]

Solve for [tex]A(t)[/tex]:

[tex]A(t)=\dfrac{378}5+Ce^{-\frac{7t}{1080}}[/tex]

Given that [tex]A(0)=0[/tex], we find

[tex]0=\dfrac{378}5+C\implies C=-\dfrac{378}5[/tex]

so that the amount of sugar at any time [tex]t[/tex] is

[tex]\boxed{A(t)=\dfrac{378}5\left(1-e^{-\frac{7t}{1080}}\right)}[/tex]

(c) As [tex]t\to\infty[/tex], the exponential term converges to 0 and we're left with

[tex]\displaystyle\lim_{t\to\infty}A(t)=\frac{378}5[/tex]

or 75.6 kg of sugar.

Help pleaseeeee!!!!!!

Answers

Answer:

0.05m^2

Step-by-step explanation:

5 divided by 100

The expression (x - 4)2 is equivalent to which expression

Answers

Answer:

8-2x

Step-by-step explanation:

2 distributed over the entire expression equals 8-2x

Answer:

the answer is b

Step-by-step explanation:

NEED ASAP! Given: AB = 12 AC = 6 Prove: C is the midpoint of AB. A line has points A, C, B. Proof: We are given that AB = 12 and AC = 6. Applying the segment addition property, we get AC + CB = AB. Applying the substitution property, we get 6 + CB = 12. The subtraction property can be used to find CB = 6. The symmetric property shows that 6 = AC. Since CB = 6 and 6 = AC, AC = CB by the property. So, AC ≅ CB by the definition of congruent segments. Finally, C is the midpoint of AB because it divides AB into two congruent segments. Answer choices: Congruence Symmetric Reflexive Transitive

Answers

Answer:

It’s symmetric property

Answer:

Symmetry

Step-by-step explanation:

The guy above me

During the 2014 season, the Los Angeles Dodgers won 58% of their games. Assuming that the outcomes of the baseball games are independent and that the percentage of wins this season will be the same as in 2014: What is the probability that the Dodgers will win at least one of their next seven games

Answers

Answer: 0.98

Step-by-step explanation:

given data:

probability they won a game = 58% = 0.58

since outcome of games are independent, and percentage would remain same as 2014.

probablility that Dodgers wins atleast 1 of their next 7 games

= 1 - p

= 1 - ( 0.58 )^ 7

= 1 - 0.02208

= 0.98

probabikotun that Dodgers would win one of their next seven games is 0.98

The higher the bowling score the better. The lower the golf score the better. Assume both are normally distributed. a. Suppose we have a sample of the Santa Ana Strikers' bowling scores. Q1 = 125 and Q3 = 156. Would it be usual or unusual to have a score of 200?b. Suppose the mean bowling score is 155 with a standard deviation of 16 points. What is the probability that in a sample of 40 bowling scores, the mean will be smaller than 150?c. Suppose the mean golf score is 77 with a standard deviation of 3 strokes We will give a trophy for the best 5% of scores. What score must you get to receive a trophy? d. Suppose the mean golf score is 77 with a standard deviation of 3 strokes. Would a golf score of 70 be ordinary, a mild outlier, or an extreme outlier?

Answers

Answer:

Explained below.

Step-by-step explanation:

(a)

The first and third quartiles of bowling scores are as follows:

Q₁ = 125 and Q₃ = 156

Then the inter quartile range will be:

IQR = Q₁ - Q₃

      = 156 - 125

      = 31

Any value lying outside the range (Q₁ - 1.5×IQR, Q₃ + 1.5×IQR) are considered as unusual.

The range is:

(Q₁ - 1.5×IQR, Q₃ + 1.5×IQR) = (125 - 1.5×31, 156 + 1.5×31)

                                               = (78.5, 202.5)

The bowling score of 200 lies in this range.

Thus, the bowling score of 200 is usual.

(b)

Compute the probability that the mean bowling score will be smaller than 150 as follows:

[tex]P(\bar X<150)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{150-155}{16/\sqrt{40}})[/tex]

                  [tex]=P(Z<-1.98)\\=1-P(Z<1.98)\\=1-0.97615\\=0.02385\\\approx 0.024[/tex]

Thus, the probability that in a sample of 40 bowling scores, the mean will be smaller than 150 is 0.024.

(c)

It is provided that, the lower the golf score the better.  

So, the best 5% of scores would be the bottom 5%.

That is, P (X > x) = 0.05.

⇒ P (Z > z) = 0.05

⇒ P (Z < z) = 0.95

z = 1.645

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\1.645=\frac{x-77}{3}\\\\x=77+(3\times 1.645)\\\\x=81.935\\\\x\approx 82[/tex]

Thus, the score is 82.

(d)

A z-scores outside the range (-2, +2) are considered as mild outlier and the z-scores outside the range (-3, +3) are considered as extreme outlier.

Compute the z-score for the golf score of 70 as follows:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

  [tex]=\farc{70-77}{3}\\\\=\frac{-7}{3}\\\\=-2.33[/tex]

As the z-score for the golf score of 70 is less than -2, it is considered as a mild outlier.

Please please help :((((

Answers

Answer:

y = x-4

Step-by-step explanation:

The y intercept is -4

We have 2 points so we can find the slope

( 0,-4) and(4,0)

m = ( y2-y1)/(x2-x1)

    = ( 0- -4)/ (4-0)

    = 4/4

   =1

The slope intercept form is

y = mx+b

y = 1x-4

y = x-4

What is the error in this problem

Answers

Answer:

The error is the use of wrong trigonometric ratio formula.

Sine was used instead of tangent.

It should be: [tex] tan(A) = \frac{36}{84} [/tex]

Step-by-step explanation:

Side length, 36, is opposite to <A. Side length, 84, is the adjacent side. Therefore, the right trigonometric ratio formula to use is:

[tex] tan(A) = \frac{opposite}{adjacent} [/tex]

[tex] tan(A) = \frac{36}{84} [/tex]

[tex] A = tan^{-1}(\frac{36}{84}) [/tex]

m<A ≈ 23°

The error made was the use of wrong trigonometric ratio formula.

ACDF,BE is a mid segment what is x?

Answers

Answer:

X= 15

Step-by-step explanation:

the above equation will be used to determine the value of x.

the above equation will be used to determine the value of x.

6x-12= 2x+20+18

6x-2x = 20+12+18

4x= 60.

X= 60/4

X= 15

x = 15

nick used 1 3/4 kg of salt to melt the ice on his sidewalk. He then used another 3 4/5 kg on the driveway. How much salt did he use in all?

Answers

Answer:

5 11/20

Step-by-step explanation:

1 3/4 + 3 4/5

Get a common denominator of 20

1 3/4 * 5/5   + 3  4/5 *4/4

1 15/20    + 3  16/20

4 31/20

Rewriting

4 + 20/20 + 11/ 20

4+1 + 11/20

5 11/20

Decide whether the pair of ratios form a proportion 15/12=4.5/3.6

Answers

Answer: Yes they form a proportion. The given equation is a true equation.

==========================================

Explanation:

The idea is that if we have

a/b = c/d

then that it is the same as

a*d = b*c

This is known as cross multiplication. We'll use this rule to get

15/12 = 4.5/3.6

15*3.6 = 12*4.5

54 = 54

We got the same value on both sides, meaning that the last equation is true. Consequently, it means the first equation is true as well (all three equations are true).

--------

You could also use your calculator to see that

15/12 = 1.25

4.5/3.6 = 1.25

showing that 15/12 = 4.5/3.6 is a true equation and the ratios form a proportion.

Answer:

15/12=4.5/3.6 = True

Step-by-step explanation:

Simplify the following:  Left-hand

15/12

Hint: | Reduce 15/12 to lowest terms. Start by finding the GCD of 15 and 12.

The gcd of 15 and 12 is 3, so 15/12 = (3×5)/(3×4) = 3/3×5/4 = 5/4:

Answer: 5/4

______________________________

Approximate the following:

4.5/3.6

Hint: | Express 4.5/3.6 in decimal form.

4.5/3.6 = 1.25:

Answer:  1.25 = 5/4

Please answer this correctly without making mistakes

Answers

Answer:

[tex]51\frac{4}{17}[/tex]

Step-by-step explanation:

If we add all of the fractions together, we 'd get 55/17 of an hour. The question is to find how many hours she spent exercising. Well, for that we'd just need to see how many seventeens fit inside 55. We could divide, but that'd lead us to a really long, weird number.

Since 17*3=51, we know that in total, three seventeens fit inside 55. Yet, there's still remainders.

55-51=4

So, our answer would be 51 (how many 17s go into 55) and 4/17 (the remainder.)

Hope this helps!! <3 :)

What are the polar coordinates of the rectangular coordinates
(V3,-1)?
o (2,5)
O (2,11)
(4, 15)

Answers

Answer:

1)

[tex] \sqrt{( \sqrt{} 3 {}^{2} } + 1 {}^{2} )[/tex]

[tex] \sqrt{4} = 2[/tex]

then the angle,

[tex] \tan( \alpha ) = - 1 \div \sqrt{3} = 330[/tex]

in radians,

[tex]11\pi \div 6[/tex]

hope this helps for the next questions

��2222 is the diameter of a circle. The coordinates are �(−2, −3) and �(−12, −5). At what coordinate is the center of the circle located? A. (5, 1) B. (−5, −1) C. (−4, −7) D. (−7, −4)

Answers

Answer:

D ). (-7,-4)

Step-by-step explanation:

To locate the position or the location of the centre of the circle we have to bear in mind that the center of the circle is the midpoint of the diameter line.

Formula for midpoint of a line is given below

Midpoint= (X1+x2)/2 ,(y1+y2)/2

Where X1= -2,y1= -3

X2= -12, y2= -5

The midpoint= (-2+(-12))/2,(-3+(-5))/2

Midpoint= (-2-12)/2,(-3-5)/2

Midpoint= (-14)/2,(-8)/2

Midpoint=( -7,-4)

The center of the circle is located at the point (-7,-4)

Need Help
Please Show Work​

Answers

Answer:

-36

Step-by-step explanation:

3*12=36

she is going down (negative) so, it is -36

not sure if this is what you are asking for, if not try this

0-12-12-12=-36

how do I write 1/2 in a from of a decimal?

Answers

Answer:

0.5

1 divide by 2 = 0.5

0.5 because it’s half of 1.

What is the midpoint of the segment below?



A.
(0, 0)

B.
(-1, 1)

C.
(0.5, 0.5)

D.
(0.5, -0.5)

Answers

Answer:

Step-by-step explanation:

(5+(-4))/2 = 1/2 or 0.5

(-7 + 6)/2 = -1/2 or -0.5

the solution is D

(0.5, -0.5)

If a system of linear equations has no solution, what does this mean about the two lines?

Answers

Answer:

The two lines do not intersect, and are parallel to one another on a graph.

Step-by-step explanation:

A system of equations consists of two or more equations with two or more variables. The solution to these variables must satisfy all of the variables in the equations in the system at the same time. Usually, all the equations in the system are considered and solved simultaneously. A linear equation might have a unique solution, an infinite solution, or no solution at all.

A system with exactly one solution is called a consistent system, and it is said to be independent, and the graph of its lines intersects at the point that is the solution to the equations. A system with an infinite number of solution is said to be dependent and the lines are coincident on a graph.

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, and the lines are parallel to one another on the graph.

For two lines of linear equations to have no solution, they must be parallel to each other i.e they must have the same slope.

The standard form of writing linear equation is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

For two lines of linear equations to have no solution, they must be parallel to each other i.e they must have the same slope.

For instance, the system of equations y = 2x + 7 and y = 2x - 3 have no solutions because they have the same slope.

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Find the indicated area under the curve of the standard normal​ distribution, then convert it to a percentage and fill in the blank.
About_____% of the area is between z = 2.2 and z = 2.2 (or within 2.2 standard deviations of the mean).
About_____% of the area is between z = 2.2 and z = 2.2 (or within 2.2 standard deviations of the mean).

Answers

Complete Question

Find the indicated area under the curve of the standard normal​ distribution, then convert it to a percentage and fill in the blank.

About_____% of the area is between z = - 2.2 and z = 2.2 (or within 2.2 standard deviations of the mean).

About_____% of the area is between z = - 2.2 and z = 2.2 (or within 2.2 standard deviations of the mean).

Answer:

About 97.219% of the area is between z = - 2.2 and z = 2.2 (or within 2.2 standard deviations of the mean).

Step-by-step explanation:

From the question given we can see that they both are the same so 1  will just solve one

   Now the area under this given range can be represented mathematically as

  [tex]P ( -2.2 < z < 2.2) = P(z < 2.2 ) - P(z < -2.2 )[/tex]

Now  from the z-table  

        [tex]p(z < 2.2 ) = 0.9861[/tex]

and

        [tex]p(z < - 2.2 ) = 0.013903[/tex]

So

     [tex]P ( -2.2 < z < 2.2) = 0.9861 - 0.013903[/tex]

     [tex]P ( -2.2 < z < 2.2) = 0.97219[/tex]

So converting to percentage  

     [tex]P ( -2.2 < z < 2.2) = 0.97219 * 100[/tex]

    [tex]P ( -2.2 < z < 2.2) = 97.219 \%[/tex]

a=5,and 5+z=14,so a+z=14

Answers

Answer:

Z=9

Step-by-step explanation:

Insert A into A+Z=14

5+z=14

Subtract 5 on both sides, to find Z.

-5     -5

z=9

A?
B?
C?
D?
The box plots below represent the scores for games played by two high schools basketball teams over the last 5 seasons

Answers

Answer:

A. No conclusion can be drawn regarding the means because the box plots only show medians and quartiles.

Step-by-step explanation:

A box display tells represents a five-number summary that consists of the minimum value, lower quartile, median, upper quartile and maximum value. It could also tell you which data point is an outlier, if there are any.

Mean value for a data set that can hardly be ascertained or derived from a box plot display itself.

Therefore, the statements regarding the means of both data sets that is most likely true is: "A. No conclusion can be drawn regarding the means because the box plots only show medians and quartiles."

in a class of 40 students, 30 students read chemistry, 40 students read physics, if all students read at least one of the subject, find the probability a students is selected at random will read only chemistry ​

Answers

Answer: 0%

Step-by-step explanation:

There's 40 students, and 40 students read physics. That means that every student reads physics. So, no student could read only chemistry.

Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the given functions, where x is the number of months that each person has owned the phone.

Answers

Answer:

The answer is: Leo's phone had the greater initial trade-in value. Tonya's phone decreases at an average rate slower than the trade in value of Leo's phone.

Step-by-step explanation:

I got it right. Hope this helps.

The initial trade-in value of Tonia's phone is greater when compared with Leo's    

There is a decrease in the trade-in value of Leo's phone at an average slower rate

[tex]f(x) = 490\times 0.88[/tex]

[tex](x)[/tex] ⇒ [tex]g(x)[/tex]

[tex]0[/tex] ⇒ [tex]480[/tex]

[tex]2[/tex] ⇒ [tex]360[/tex]

[tex]4[/tex] ⇒ [tex]470[/tex]

Now we will solve with the greater initial value

The initial value is when x = 0. So, we have

[tex]f(x) = 490 \times o.88^x\\\ f(o) = 490 \times 0.88 ^0\\f(0 =490 \times 1 \\f(o) = 490[/tex]

From leos table

[tex]g(0) = 480\\f(0) > g(o)\\i.e \\490 > 480[/tex]

So Tonia had a greater initial value

Solving (b): The phone with a lesser rate

y [tex]y = a b ^ x[/tex]

An exponential function is:

where [tex]b \rightarrow rate[/tex]

For Tonia

[tex]b = o.88[/tex]

For Leo we have

[tex](x_{1} , y_{1} )= (0,480)\\(x_{1}, y_{1} ) = (2, 360)[/tex]

So the equation becomes

[tex]y = ab ^x \\480 = ab ^0 \\and \\360 = ab ^2[/tex]

On solving

[tex]480 = a \times 1\\a = 480[/tex]

[tex]360 = ab ^ 2[/tex]

so it becomes

[tex]480 = 360 \times b ^2 \\[/tex]

On dividing both sides by [tex]480[/tex]  we get

[tex]b ^ 2 = 0.87[/tex]

[tex]b ^ 2 = 0.75[/tex]

On taking square root we get

[tex]b = 0.87[/tex]

In comparison, we get Leo's rate is slower.

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How is multiplying 3 - 2i by ia represented on the complex plane?
Drag a term or measure into each box to correctly complete the statements
The complex number 3 - 2i lies in quadrant IV
of the complex plane. When any complex number is multiplied by the
imaginary unit, the complex number undergoes a
90°
rotation in a counterclockwise direction This means that
the complex product of 3 - 2i and 22 lies in
quadrant I
of the complex plane.

Answers

The equation is represented 3 units to the left of the complex plane and 2 units up.

What is complex equation?

A complex equation is an equation that involves complex numbers when solving it. A complex number is a number that has both a real part and an imaginary part.

Well to see how this is represented, we first need to multiply it out so we can see how it looks when it is simplified!

[tex]=(3-2i)(i^2)\\\\\\i^2=-1\\\\\\=(3-2i)(-1)\\\\\\=(-3+2i)[/tex]

We know that on a complex plane, our imaginary numbers are represented on the vertical axis.

So the original expression, (3-2i) would have been 3 units to the right on a complex graph and 2 units downward!

The equation I input above should be pretty straightforward, but one thing I didn't mention was that i^2 should = -1 when dealing with complex numbers!

Therefore, the equation 3-2i * i^2 is equal to -3 + 2i, this is graphed 3 units to the left and to units upward!

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Please help 1-7 questions

Answers

Answer:

25= q+20

25 - 20 =q

5 = q

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------

Answer: q = 5.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]25 = q + 20[/tex]

Swap sides so that all variable terms are on the left hand side.

[tex]q + 20 = 25[/tex]

Subtract 20 from both sides.

[tex]q = 25 - 20[/tex]

Subtract 20 from 25 to get, you guessed it, 5!

I'm not sure about this one please I need someone to help me.

Answers

Answer:

The corresponding graph is Graph A.

Step-by-step explanation:

Part 1: Rewriting the inequality and solving for d

To start, the inequality will need simplified.

[tex]9-4d\geq -3\\\\-4d\geq -12\\\\\frac{-4d}{-4} \geq \frac{-12}{-4} \\\\d \leq 3[/tex]

Because simplifying the inequality involved dividing by a negative number, the sign must be flipped.

Part 2: Determining the graph for the inequality

Now, refer to the rules for graphing inequalities.

If the sign is simply < or >, the graph will start at the number that it begins at and the circle will be open.If the sign is ≤ or ≥, the graph will start at the number that it begins at and the circle will be closed.

Therefore, because [tex]d \leq 3[/tex], the graph will start at 3 as a closed dot. Then, it will go left because values must be equal to 3 or less than 3.

Therefore, the graph that represents this is Graph A.

Answer:

Graph A

I hope this helps!

An escalator moves at the rate of 2 feet per second. At what rate does the escalator move in miles per hour? 5280 feet=1 mile

Answers

Answer:

7200ft/per Hour divide it by mile ( 5280) makes 1.363 so maybe 1.4 Miles

Step-by-step explanation:

Answer: Approximately 1.363636 mph

Work Shown:

1 mile = 5280 feet

1 hour = 3600 seconds (since 60*60 = 3600)

[tex]2 \text{ ft per sec} = \frac{2 \text{ ft}}{1 \text{ sec}}\\\\2 \text{ ft per sec} = \frac{2 \text{ ft}}{1 \text{ sec}}*\frac{1 \text{ mi}}{5280 \text{ ft}}*\frac{3600 \text{ sec}}{1 \text{ hr}}\\\\2 \text{ ft per sec} = \frac{2*1*3600}{1*5280*1} \text{ mph}\\\\2 \text{ ft per sec} = \frac{7200}{5280} \text{ mph}\\\\2 \text{ ft per sec} \approx 1.363636 \text{ mph}\\\\[/tex]

The result is approximate and the "36" portion repeats forever.

Factor completely 6x - 18.
6(x + 3)
6(x-3)
6X (-18)
Prime

Answers

Answer:

6(x-3)

Step-by-step explanation:

the common number for 6 and 18 is 6 so if you extract that from the expression then it turns to 6(x-3) which cannot be factored further

Answer:

Option B:  6(x - 3)

Step-by-step explanation:

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The perimeter of an isosceles triangle is 32 inches. If the base is longer than half of the two other equal sides by 2 inches, find the length of all sides of this triangle.Write as a equation. A city of Punjab has a 15 percent chance of wet weather on any given day. What is the probability that it will take a week for it three wet weather on 3 separate days? Also find its Standard Deviation Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level. The null and alternative hypothesis would be:______. A. H0 : = 0.8 H 1 : 0.8 B. H0 : p 0.8 H 1 : p > 0.8 C. H0 : p = 0.8 H 1 : p 0.8 D. H0 : 0.8 H 1 : > 0.8 E. H0 : p 0.8 H 1 : p < 0.8 F. H0 : 0.8 H 1 : < 0.8 The test is:_____. a. left-tailed b. right-tailed c. two-tailed Based on a sample of 200 people, 79% owned cats.The test statistic is:______.The p-value is:_____. Based on this we:_____.A. Fail to reject the null hypothesis.B. Reject the null hypothesis. without actually calculating the cubes find the value of each of the following (-28)^3+(12)^3+(16)^3 Abby had a checkbook balance of $1,002.45. She paid $76.98 to the electric company and $254.34 to the water company. What is Abbys current checkbook balance? can someone explain mean and median to me? PLS HELP ME ANSWER THIS QUESTION I DONT UNDERSTAND IT I WILL GIVE BRAINLIST AND A THANK YOU!!!! I need help ASAP!! I have no idea how to do this and what side does it mean when it says other side??! what is the coefficient of the variable in the expression 4-3x Which action can be the responsibility of federal, state, and local governments?building roadsissuing licensesopening schoolsprinting money To reach the maximum money multiplier, it is assumed that A. there is insufficient loan demand. B. commercial banks keep excess reserves. C. loans are diverted into circulating currency. D. all loans get redeposited in a checkable and debitable account. Previous Question Question 5 of 20 Next Question Which of the following items represents the net income/(loss) for the year? The difference between the revenues/gains and expenses/losses. The difference between the cash receipts and payments. The difference between the funds raised by stock issuance and the dividends paid. The difference between the net increase in assets and in liabilities. A 5-column table with 2 rows. Column 1 is labeled number of protons, with entries 20 and 9; column 2 is number of neutrons, with entries 20 and D; Column 3 is atomic number, with entries A and E; Column 4 is Mass Number, with entries B and 19, and Column 5 is Element (symbol) with entries C and F. Using the periodic table, complete the table to describe each atom. Type in your answers Unprecedented industrial growth in the country of Remo has created serious environmental problems because factories there lack adequate pollution control systems. Remo is developing a clean growth plan that includes environmental regulations that will require the installation of such systems. Since no companies in Remo currently produce pollution-control systems, the plan, if implemented, will create significant opportunities for foreign exporters to market pollution-control systemsWhich of the following, if true, most seriously weakens the argument?A. The clean growth plan will provide tax incentives for local business to develop and manufacture pollution-control systemsB. Foreign exporters would provide factory-trained technicians to maintain the pollution-control systems sold in Remo.C. Industrial lobbyists sponsored by local business in Remo are trying to prevent the implementation of the government regulationsD. The regulations that Remo plans to implement are much less strict than those in neighboring nations.E. Pollution in Remo has caused serious health problems for workers, contributing to a significant increase in the number of workdays lost to illness En cual hay tres preposiciones? A. Un , la ,el. B.no , que , su. C. De , en por. D. Re, est , vaga Suppose you are a member of the FOMC and the U.S. economy is entering a recession. Write a directive (at least 4 typed pages, including your sources) to the committee about the conduct of monetary policy over the next two months. At the meeting, the committee will respond to changes in economic prospects as needed to support the attainment of its objectives. Your directive may address a target for the GDP growth rate, the federal funds rate, and the rate of inflation. Be sure to make specific proposals. Which was an idea used to dispute the theory of plate tectonics?OA. Seafloor spreadingOB. Evidence of glaciers in AustraliaOC. Locations of Mesosaurus fossilsOD. 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