3 years ago

I need help with 2. And 4.

Mathematics

1 answer:

lisov135 [29]3 years ago

4 0

On number 4 George lives farther

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HELP HELP HELP<br> HELP HELP <br> HELP <br> (STEP BY STEP)

Marizza181 [45]

With some simple rearrangement, we can rewrite the numerator as

$2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1$

Then factorizing the difference of squares, $x^2-1=(x-1)(x+1)$ , we end up with

$\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}$

3 0

2 years ago

Aidan has 20 ft of fence with which to build a rectangular dog run. What is the maximum area he can enclose? Enter your answer i

irina1246 [14]

<h2>Maximum area is 25 m²</h2>

Explanation:

Let L be the length and W be the width.

Aidan has 20 ft of fence with which to build a rectangular dog run.

Fencing = 2L + 2W = 20 ft

L + W = 10

W = 10 - L

We need to find what is the largest area that can be enclosed.

Area = Length x Width

A = LW

A = L x (10-L) = 10 L - L²

For maximum area differential is zero

So we have

dA = 0

10 - 2 L = 0

L = 5 m

W = 10 - 5 = 5 m

Area = 5 x 5 = 25 m²

Maximum area is 25 m²

7 0

3 years ago

What are the possible outcomes?

vesna_86 [32]

Answer:

A= X,B

B= L,G

C= M,W

The total number of combinations is 12

6 0

3 years ago

To find the Volume of a Cylinder, we use the formula:

kolezko [41]

Answer:

the correct anser is B

Step-by-step explanation:

Calculate the area of the shape on all the corners

6 0

2 years ago

VERY URGENT NEED HELP! WILL MARK BRAINLIEST. Two numbers have a sum of 162 and a difference of 64. What are the two numbers? Put

n200080 [17]

Answer:

113, 49

Step-by-step explanation:

$x + y = 162\\x - y = 64\\add\\the\\equations\\\\x + x + y - y = 162 + 64\\2x =226\\\\x = 113 \\113- y = 64\\\\y = 49$

6 0

3 years ago