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4 years ago

Let f(x) =x+7 and g(x)= x-4. Find f(x) times g(x)

Mathematics

1 answer:

Ganezh [65]4 years ago

5 0

Answer:

x² + 3x - 28

Step-by-step explanation:

We need f(x)*g(x), or

(x + 7)(x - 4)

Use FOIL to multiply, Foil is Firsts, Outsides, Insides, Lasts. It tells you the terms to multiply together...

Firsts: x(x) = x²

Outsides: x(-4) = -4x

Insides: 7(x) = 7x

Lasts: (7)(-4) = -28

So we have

x² - 4x + 7x - 28

simplify to

x² + 3x - 28

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Last week you watch four hours of TV this week you watched eight hours TV place points on the graph to show your activity for la

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

You should place a point on the graph at 4 for four hours of TV last week. And place a point at 8 for eight hours of TV this week.

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4 years ago

F(x) = 2x and g(x) = x + 1, find f(3) and find gf(3)

lord [1]

Answer:

6 and 7

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x) , that is

f(3) = 2(3) = 6

To evaluate g(f(3)), substitute f(3) = 6 into g(x)

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3 years ago

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3 years ago

Read 2 more answers

Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this ye

slega [8]

Answer:

A sample size of 1031 is required.

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:

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

37% of freshmen do not visit their counselors regularly.

This means that $\pi = 0.37$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

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

$0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}$

$0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}$

$\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2$

$n = 1030.4$

Rounding up:

A sample size of 1031 is required.

4 0

3 years ago