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3 years ago

7

Express the function g in the form f ∘ g. (there is more than one correct answer. the function is of the form y = f(g(x)). use n

on-identity functions for f(x) and g(x).) g(x) = 1 x + 6

1 answer:

bija089 [108]3 years ago

5 0

Answer:

1/x+7

Step-by-step explanation:

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How do I do this? (3x^2+8)-(2x^2+1)<br> So first I add like terms?<br> 5x^2 + 8 + 1

Gemiola [76]

<span> (3x</span>² <span>+ 8) - (2x</span>² <span>+ 1)
= </span>3x² + 8 - 2x² - 1
= 3x² - 2x² + 8 - 1
= x² + 7

3 0

2 years ago

99x78<br> 123x56<br> 98x172<br> 38x900

yanalaym [24]

Answer:

99x78=7722

123x56=6888

98x172=16856

900x38=34200

Step-by-step explanation:

8 0

1 year ago

Study the Proof Given.

andrezito [222]

Given that B is the midpoint of line AC and line BC is congruent to line DE.

The following statements and reasons, proves that line AB is congruent to line DE.

     Statement                                                   Reasons

1. B is the midpoint of line AC                        Given
2. Line AB is congruent to line BC.               Midpoint of a line segment
3. Line BC is congruent to line DE                  Given
4. Line AB is congruent to line DE                  Transitive property

3 0

3 years ago

In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha

Afina-wow [57]

Answer:

A sample size of 79 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.

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

In which

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

For this problem, we have that:

$\pi = 0.21$

The margin of error is:

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

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 $Z = 1.96$ .

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

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

$0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}$

$0.09\sqrt{n} = 1.96\sqrt{0.21*0.79}$

$\sqrt{n} = \frac{1.96\sqrt{0.21*0.79}}{0.09}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.21*0.79}}{0.09})^{2}$

$n = 78.68$

Rounding up to the nearest whole number.

A sample size of 79 is needed.

4 0

3 years ago

Write an equation of the line with the given slope that contains the given point.

Alchen [17]

Answer:

$y=-2x+12$

Step-by-step explanation:

We can use the point-slope form given by:

$y-y_1=m(x-x_1)$

Where <em>m</em> is the slope and (x₁, y₁) is a point.

So, we will substitute -2 for <em>m</em> and (5, 2) for (x₁, y₁). This gives us:

$y-(2)=-2(x-(5))$

Simplify:

$y-2=-2(x-5)$

Distribute:

$y-2=-2x+10$

Add 2 to both sides. Hence, our equation is:

$y=-2x+12$

3 0

2 years ago