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zvonat [6]
4 years ago
5

If function f has zeros at -3 and 4, which graph could represent function f? A. the graph of a quadratic function y = (1/4)(x+3)

(x-4) B. the graph of a quadratic function y = -(1/4)(x-3)(x+4) C. the graph of a quadratic function y = -(x+3)(x+4) D. the graph of a quadratic function y = (x-3)(x-4)
Mathematics
1 answer:
34kurt4 years ago
6 0

Answer:

<h3>  A. the graph of a quadratic function y = (1/4)(x+3)(x-4)</h3>

Step-by-step explanation:

(1/4)(x+3)(x-4) = 0

x+3 = 0    or  x-4 = 0

x = -3  or   x = 4

For the others:

B.  -(1/4)(x-3)(x+4) = 0

x-3 = 0    or  x+4 = 0

x = 3  or   x = -4

C.  -(x+3)(x+4) = 0

x+3 = 0    or  x+4 = 0

x = -3  or   x = -4

D.  (x-3)(x-4) = 0

x-3 = 0    or  x-4 = 0

x = 3  or   x = 4

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The area is
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8 0
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One bag of pretzels cost three dollars. Five bags of pretzels cost $10. Which has the lower unit price?
pentagon [3]

Answer:

The 5 for $10 because its 2 dollars for a bag while the first is 3 dollars for a bag

Step-by-step explanation:

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A research firm needs to estimate within 3% the proportion of junior executives leaving large manufacturing companies within thr
Y_Kistochka [10]

Answer:

972 junior executives should be surveyed.

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.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

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

35% of junior executives left their company within three years.

This means that \pi = 0.35

0.95 = 95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

To update this study, how many junior executives should be surveyed?

Within 3% of the proportion, which means that this is n for which M = 0.03. So

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

0.03 = 1.96\sqrt{\frac{0.35*0.65}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.35*0.65}

\sqrt{n} = \frac{1.96\sqrt{0.35*0.65}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.35*0.65}}{0.03})^2

n = 971.2

Rounding up:

972 junior executives should be surveyed.

5 0
3 years ago
There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. Th
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Answer:

{x + y= 239

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