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3 years ago

7

When dividing polynomials using factorization, canceling identical factors in the denominator and the numerator will give the __

_____.

1 answer:

Hunter-Best [27]3 years ago

4 0

Answer:

Remainder :)

Hope this helps!

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The equation y=5+0.5x represents the cost of getting a car wash and using the vacuum for x minutes. What is the y-intercept?

adell [148]

5 is the y intercept.

-Always the number without the variable.

5 0

3 years ago

Use synthetic division to solve (x^3+1)/(x-1). What is the quotient?

Sav [38]

Answer:

x^2 +x +1

Step-by-step explanation:

See below for the tableau. The quotient is x^2 +x +1.

___

The remainder is 2.

7 0

3 years ago

The standard deviation of a sample taken from population A is 17.6 for a sample of 25.

lawyer [7]

Answer:

The standard deviation of the sample mean differences is _5.23_

Step-by-step explanation:

We have a sample of a population A and a sample of a population B.

For the sample of population A, the standard deviation $\sigma_A$ is

$\sigma_A = 17.6$

The sample size $n_A$ is:

$n_A = 25$ .

For the sample of population B, the standard deviation $\sigma_B$ is

$\sigma_B = 21.2$

The sample size $n_B$ is:

$n_B = 30$ .

Then the standard deviation for the difference of means has the following form:

$\sigma=\sqrt{\frac{\sigma_A^2}{n_A}+\frac{\sigma_B^2}{n_B}}$

Finally

$\sigma=\sqrt{\frac{17.6^2}{25}+\frac{21.2^2}{30}}\\\\\sigma= 5.23$

7 0

4 years ago

Select the correct answer from the drop-down menu.

lidiya [134]

Answer:

6y² - 20y + 6

Step-by-step explanation:

Use FOIL method

(3y - 1)(y-3) = 3y*y + 3y*(-3) + (-1)*y + (-1)*(-3)

= 3y²- 9y - y + 3 {add the like terms}

= 3y² - 10y + 3

2(3y - 1)(y - 3) = 2 ( 3y² - 10y + 3)

= 2*3y² - 2*10y + 2*3

= 6y² - 20y + 6

6 0

3 years ago

agasfer [191]

Answer:

The solution to the system of equations be:

$x=3,\:y=-1$

Hece, option B is correct.

Step-by-step explanation:

Given the system of equations

$\begin{bmatrix}x-3y=6\\ 2x+2y=4\end{bmatrix}$

Multiply x − 3y = 6 by 2: 2x-6y=12

$\begin{bmatrix}2x-6y=12\\ 2x+2y=4\end{bmatrix}$

so

$2x+2y=4$

$-$

$\underline{2x-6y=12}$

$8y=-8$

so the system of equations becomes

$\begin{bmatrix}2x-6y=12\\ 8y=-8\end{bmatrix}$

Solve 8y = -8 for y

$8y=-8$

Divide both sides by 8

$\frac{8y}{8}=\frac{-8}{8}$

$y=-1$

$\mathrm{For\:}2x-6y=12\mathrm{\:plug\:in\:}y=-1$

$2x-6\left(-1\right)=12$

$2x+6=12$

subtract 6 from both sides

$2x+6-6=12-6$

$2x=6$

Divide both sides by 2

$\frac{2x}{2}=\frac{6}{2}$

$x=3$

Therefore, the solution to the system of equations be:

$x=3,\:y=-1$

Hence, option B is correct.

6 0

3 years ago

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