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3 years ago

Distributive property of 4(x-2+y)

Mathematics

2 answers:

Serggg [28]3 years ago

5 0

The answer to your question is 4x + 4y -8

Hope this helped!

scoundrel [369]3 years ago

3 0

Answer:

4x-8+4y

Step-by-step explanation:

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What is the vertex of the quadratic equation y = - 1/3 (x + 2)^2 +5

Wewaii [24]

Answer:

Step-by-step explanation:

$\text{The vertex form of a quadratic equation:}\\\\y=a(x-h)^2+k\\\\(h,\ k)-vertex\\---------------\\\text{We have:}\\\\y=-\dfrac{1}{3}(x+2)^2+5=-\dfrac{1}{3}(x-(-2))^2+5\Rightarrow h=-2\ \text{and}\ k=5\\\\\text{therefore the vertex is:}\ (-2,\ 5)$

6 0

3 years ago

Which sets of ratios are a proportion? (Choose all that apply) *

vladimir1956 [14]

Answer:

<h2>Sets of Ratios that are Proportion</h2>

3/11 and 17/6

60/55 and 7/25

7/6 and 52/48

<h3>Solution:</h3>

> 12/7 and 36/21

$\frac{12}{7} = \frac{36}{21} \\ 12(21) = 36(7) \\ 252 = 252$

> 4/10 and 8/20

$\frac{4}{10} = \frac{8}{20} \\ 4(20) = 8(10) \\ 80 = 80$

5 0

3 years ago

We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor.

Vladimir [108]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

And rounded up we have that n=385

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.05$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

The estimated proportion for this case is $\hat p=0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

And rounded up we have that n=385

4 0

3 years ago

I'm I right?????? because i think i am

Ilya [14]

$\sqrt{3x+10}=\sqrt{2x+3}\\\\\\\dfrac{\sqrt{3x+10}}{\sqrt{2x+3}}=1\\\\\\\sqrt{\dfrac{3x+10}{2x+3}}=1\\\\\\\dfrac{3x+10}{2x+3}=1\\\\\\3x+10 =2x+3\\\\x = -7$

7 0

3 years ago

Read 2 more answers

So this should be one of the last few ones

sergeinik [125]

Answer:

Step-by-step explanation:

Because you have to use the Pythagorean theorem to solve for this.

8 0

3 years ago