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valentinak56 [21]
3 years ago
6

HELP I NEED HELP ASAP

Mathematics
1 answer:
notsponge [240]3 years ago
8 0

Answer:

3w² + 10w +8 (C)

Step-by-step explanation:

A rectangle has a length that is 3 times its width, w, in inches. The width is increased by 2 inches, and the length is increased by 4 inches. Which expression represents the area of the larger rectangle?

First, remember that the length of the first rectangle is 3 * w, or 3w.

Now, onto the second rectangle.

The width is increased by 2, so it becomes w + 2

The length is increased by 4, so it becomes 3w +4.

Area is length times width, so the area is

(w + 2)(3w + 4)

Simplify.

3w*w + 4*w + 2*3w + 2*4 =

3w² + 4w + 6w +8

3w² + 10w + 8, or C

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As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.

1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
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Hope this helps! Good luck!
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3 years ago
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Answer:

Your answer is 4x.

Step-by-step explanation:

Add 2+2

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Step-by-step explanation:

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Step-by-step explanation:

<u>Step 1:  Distribute</u>

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