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3 years ago

Part A: Factor 5x2b2 + 14xb2 − 3b2. Show your work.

1 answer:

4 0

Part A:
We have the following expression:
5x2b2 + 14xb2 - 3b2
Rewriting we have:
b2 (5x2 + 14x - 3)
b2 (5x-1) (x + 3)

Part B:
We have the following expression:
x2 - 18x + 81
Rewriting we have:
(x-9) (x-9)
(x-9) ^ 2

Part C:
We have the following expression:
x2 - 121
Rewriting we have:
(x-11) (x + 11)

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Simplify the following expression completely, where x is greater than or equal too 0.

Dennis_Churaev [7]

First you want the numbers under the radical to be the same so you can combine like terms.

$x \sqrt{5xy^4} =x \sqrt{5x*^4y} = xy^2 \sqrt{5x}$
$\sqrt{405x^3y^4} = \sqrt{5x*81x^2y^4} =9xy^2 \sqrt{5x}$
$\sqrt{80x^3y^4} = \sqrt{5x*16x^2y^4} = 4xy^2 \sqrt{5x}$

Now add together to get $14xy^2 \sqrt{5x}$

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3 years ago

Read 2 more answers

A rectangular room is 1.5 times as long as it is wide, and its perimeter is 35 meters. find the dimesions of the room

sattari [20]

L=1.5w. And the perimeter of a rectangle is 2w+2l=25 substitute the 1st equation into the second.2w+2(1.5w)=252w+3w=255w=25W=5

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4 years ago

2.16 according to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.72 . su

polet [3.4K]

Part A)
The answer is b) this is qualitative because the responses are about whether people are satisfied or not, instead of something numeric.
Part B)
The answer is b) this is random because it represents a different person in the sample, and it is variable because people feel differently about their situations.

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3 years ago

An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest cir

JulijaS [17]

The area of the copper circle A= 69.08 $inches^{2}$ .

<u>Step-by-step explanation:</u>

Given data,

Perimeter of the Square =40 inches.

Let us find the measurement of one side.

The formula for perimeter of a square is 4a.

where a is length of one side of a square.

We know that perimeter of the square is 40.

∴ 4a=40.

a=10 inches.

Imagine that moving one side of the square into the circle.

You can observe that length of one side of square is the diameter of the circle.

∴Diameter of the circle =10 inches.

⇒ Radius of the circle r= 5 inches.

Area of the circle A= π $r^{2}$ .

A= 3.14×5×5.

Area of the circle A= 69.08 $inches^{2}$ .

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4 years ago

Select the correct answer. Compare the two functions.

Ne4ueva [31]

<h3>Answer: Choice A) as x increases, the rate of change of f(x) exceeds the rate of change of g(x)</h3>

In other words, f(x) grows faster after a certain point. This is true when comparing any exponential curve to a linear one.

Choice B is false as it contradicts choice A.

Choice C is false as the tables show the function outputs are equal at x = 2, not the rates of change

Choice D is false because there are infinitely many intervals where f(x) grows slower compared to g(x). That's why I mentioned the "after a certain point" portion.

6 0

3 years ago