Passing through (5, -4) and parallel to the line whose equation is y=-2x+3;<br> point-slope form

Factor the expression completely. (If the expression is not factorable using integers, enter PRIME.)

Archy [21]

First you have to put like terms together:
bf+af+be+ae
Now you factor the first two terms and then the two last terms:
f(b+a)+e(b+a)
Now you factor even further. By putting what is in parentheses by what is outside the parentheses:
(b+a)(f+e)
What you got is correct as mine is too. I hope this formula helps for future problems:
ax+bx+ac+bc=x(a+b)+c(a+b)
=(a+b)(x+c)

8 0

3 years ago

Read 2 more answers

100 POINTS!!! Brainliest if correct, I report if the answer is absurd. Don’t answer if don’t know.

Lena [83]

Answer: D

Step-by-step explanation:

To find the perimeter of the square, you want to first find the length of each side. Since the figure is a square, we know that each side is equal to each other. We can set the expressions equal to each other to find x.

$\frac{3}{4}x-1=\frac{1}{2}x+7$ [subtract both sides by 1/2x]

$\frac{1}{4}x-1=7$ [add both sides by 1]

$\frac{1}{4}x=8$ [multiply both sides by 4]

$x=32$

Now that we know x, we can plug it into each expression to find teh length of each side.

$\frac{3}{4}(32)-1$ [multiply]

$24-1$ [subtract]

$23$

Now that we know each side is equal to 23, we can add all the sides together to find the perimeter.

23+23+23+23=92 or 23×4=92

Since we know that the perimeter is 92 units, the answer is D.

3 0

3 years ago

Read 2 more answers

What is the center and radius of the circle?

riadik2000 [5.3K]

Answer:

Center = (5,-3) radius = sqrt (36) = 6

Step-by-step explanation:

4 0

2 years ago

Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably

USPshnik [31]

Answer:

$z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998$

$p_v =2*P(z>3.998)=0.0000639$

With the most common significance levels used $\alpha= 0.1, 0.05, 0.01$ we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given

n=297 represent the random sample of male taken

X=183 represent the men who said yes, they had driven a car when they probably had too much alcohol

$\hat p=\frac{183}{297}=0.616$ estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

$p_o=0.5$ is the value that we want to test

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

After replace we got:

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998$

Decision

We have a right tailed test so then the p value would be:

$p_v =2*P(z>3.998)=0.0000639$

With the most common significance levels used $\alpha= 0.1, 0.05, 0.01$ we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

7 0

3 years ago

1. what are the domain and range of the function?

natta225 [31]

1) domain of the first is ( R ) because of its root(3) and its range is (R) because of its root again

2)and domain of the last , is [0,+infinity)

and for its range , you can draw it such as picture and will be [0,- infinity)

7 0

3 years ago

Read 2 more answers

Passing through (5, -4) and parallel to the line whose equation is y=-2x+3; point-slope form