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2 years ago

The vertex form of the function y=x^2+8x+29

Mathematics

1 answer:

stira [4]2 years ago

5 0

Answer:

y = (x+4)^2 +13

Step-by-step explanation:

y=x^2+8x+29

To complete the square take the coefficient of the x term

Divide by 2

8/2 =4

Then square it

4^2 =16

y=x^2+8x+16+13

= (x^2+8x+16) +13

= (x+4)^2 +13

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Answer:

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2 years ago

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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In which

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The margin of error is of:

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This means that $\pi = 0.08$

98% confidence level

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How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

$n = 996.3$

Rounding up:

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2 years ago

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dusya [7]

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$m=\dfrac{-2-2}{-4-(-2)}=\dfrac{-4}{-2}=2$

<h3>Answer: the slope = 2</h3>

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2 years ago

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Answer:

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Step-by-step explanation:

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