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3 years ago

If h(x)=3x-5 and g(x) =2x^2-7x, find (g•h)(x)

Mathematics

2 answers:

Anastasy [175]3 years ago

8 0

Answer:

Correct answer: (g · h) (x) = 18 x² - 81 x + 85

Step-by-step explanation:

Given:

h(x) = 3 x - 5

g(x) = 2 · x² - 7 x

This is a composition of functions:

(g · h)(x) = g(h(x)) = g(3 x - 5) = 2 · (3 x - 5)² - 7 (3 x - 5) = 2 · (9 x² - 30 x + 25)

(g · h)(x) = 2 · (9 x² - 30 x + 25) - 21 x + 35 = 18 x² - 60 x + 50 - 21 x + 35

(g · h)(x) = 18 x² - 81 x + 85

God is with you!!!

Murrr4er [49]3 years ago

4 0

Answer:

The answer is 25.67and then you multiply by8 and get you 205.36

Step-by-step explanation:

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I need help ASAP<br><br> Please and thanks

Leokris [45]

Answer:its number 3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Twenty percent of 150 is

Svetlanka [38]

20% of 150 is 30

Change the percentage into a decimal by dividing it over 100:

20 / 100 = 0.2

Multiply:

0.2 × 150 = 30

6 0

3 years ago

One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio

Bess [88]

Answer:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean

$\sigma=60$ represent the population standard deviation

n represent the sample size (variable of interest)

Confidence =95% or 0.95

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval is provided, $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

6 0

3 years ago

A line passes through (10,5) and (13,-4). Write the equation of the line in standard form.

nexus9112 [7]

Using two point form
y-5/-4-5=x-10/13-10
rearrange to get 3x+y-35=0

4 0

2 years ago

Mr. Levy has a budget of $18,000. Uniforms for the marching band cost $315 each, and he needs 62 uniforms. He says, "Since 60x$3

svetoff [14.1K]

Answer:

No. See explanation below.

Step-by-step explanation:

No.

Since 60 × $300 = $18,000, he would be exactly at budget if he needed 60 uniforms and if each uniform cost $300, but he needs more than 60 uniforms, and each uniform costs more than $315, so the total cost is definitely more than $18,000.

7 0

2 years ago

Read 2 more answers