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3 years ago

Given f(x) = x + 9 and g(x) = x2 find (gºf)(x).

Mathematics

1 answer:

marissa [1.9K]3 years ago

8 0

Answer:

g(f(x)) = (x + 9)^2 or x^2 + 18x + 81

Step-by-step explanation:

(gºf)(x) is the "c .... " of two functions f(x) and g(x): f(x) is the input to g(x).

We start with g(x): g(x) = x^2. We replace the first x with f(x) and the second x with x + 9:

g(f(x)) = (x + 9)^2 or x^2 + 18x + 81

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A recent national survey found that high school students watched an average (mean) of 7.8 movies per month with a population sta

notka56 [123]

Answer:

Step-by-step explanation:

Given that :

Mean = 7.8

Standard deviation = 0.5

sample size = 30

Sample mean = 7.3 5.4772

The null and the alternative hypothesis is as follows;

$\mathbf{ H_o: \mu \geq 7.8}$

$\mathbf{ H_1: \mu < 7.8}$

The test statistics can be computed as :

$z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$z = \dfrac{7.3- 7.8}{\dfrac{0.5}{\sqrt{30}}}$

$z = \dfrac{-0.5}{\dfrac{0.5}{5.4772}}$

$z = - 5.4772$

The p-value at 0.05 significance level is:

p-value = 1- P( Z < -5.4772)

p value = 0.00001

Decision Rule:

The decision rule is to reject the null hypothesis if p value is less than 0.05

Conclusion:

At the 0.05 significance level, there is sufficient information to reject the null hypothesis. Therefore ,we conclude that college students watch fewer movies a month than high school students.

8 0

3 years ago

If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).

Alexxx [7]

Answer:

4x + 1

Step-by-step explanation:

Multiply f + g by x because f + g is in parenthesis:

f(x) + g(x)

Then implement equation #1 for f(x) into our equation:

3x - 1 + g(x)

Then implement the other equation for g(x) into our equation:

3x - 1 + x + 2

Then switch the positions of -1 and +x:

3x + x - 1 + 2

Simmplify:

4x + 1

Pls consider giving my answer the Brainliest! Because it would help and mean a lot! ; )

4 0

3 years ago

Make y the subject to the following questions

skelet666 [1.2K]

In this question it basically wants you to leave Y alone in a side of the equation.

In this case,
For 3y=c

$y=\frac{c}{3}$

For Ay=w

$y=\frac{w}{A}$

For Y/c=w
Y=cw

For y/a=2c
y=2ac

For a=y+p
y=a-p

For C=y-k
y=C+k

5 0

2 years ago

A circle has a radius of 19 cm. Find the radian measure of the central angle that intercepts an arc of length 4 cm.

Alona [7]

Answer:

1134

Step-by-step explanation:

$\pi \: radius \: 2$