All categories

2 years ago

PLEASE HELP!

Mathematics

1 answer:

AnnZ [28]2 years ago

3 0

Answer:

A.30x3-3x2-24x+9

Step-by-step explanation

1. Separate the terms in g(x). (6x) (-3)

2. Distribute by multiplying each term in f(x) by (6x).

(6x)(5x2+2x-3)=30x3+12x2-18x

3. Distribute the other term in g(x) to each term in f(x).

(-3)(5x2+2x-3)= -15x2-6x+9

4. Combine the like terms of both answers.

30x3+12x2-18x-15x2-6x+9= <em><u>30x3-3x2-24x+9</u></em>

You might be interested in

A pickup truck carrying 10 to the 3rd power identical bricks weighs 6,755 pounds. If the empty truck weighs 6,240 pounds, what i

Aleks04 [339]

Answer:

The answer is that each brick weights .515 pounds.

Step-by-step explanation:

10 to the 3rd power is 10^3 = 1000 bricks.

The weight of the full truck minus the weight of the empty truck is the weight of the bricks:

6755 - 6240 = 515 pounds of bricks

Pounds per brick:

515 / 1000 = .515 pounds per brick.

Hope this helps! Have a great day!

5 0

3 years ago

The circumference of a circle is 6.28 millimeters. What is the circle's radius?

Aleksandr [31]

Circumference of a circle =2πr

6.28=2πr

3.14=πr

3.14/π=r

3.14/3.14=r

<h2>therefore,r=1</h2>

6 0

2 years ago

Find the sum and express it in simplest form (6u-7c-6)+(-2u+4c)

Daniel [21]

4u+3c-6 is thats what its asking for? just puting the same variables together

4 0

2 years ago

Read 2 more answers

It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir

Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, we find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So:

$\sigma = \sqrt{484} = 22$

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$5 = 1.96*\frac{22}{\sqrt{n}}$

$5\sqrt{n} = 43.12$

$\sqrt{n} = \frac{43.12}{5}$

$\sqrt{n} = 8.624$

$(\sqrt{n})^{2} = (8.624)^{2}$

$n = 74.4$

We need a sample size of at least 75.

6 0

3 years ago

Read 2 more answers

The lengths of two sides of a triangle are 12 inches and 4 inches. Which of the following dimensions is the third side of this t

Anna007 [38]

The triangle inequality requires the third side be in the range
.. 12 -4 ≤ third side ≤ 12 +4
.. 8 ≤ third side ≤ 16 . . . . . . . . . your answer is the number(s) in this range

_____
Some define the triangle inequality using < rather than ≤. Be careful here.

5 0

3 years ago