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Tanya [424]
3 years ago
12

Annalise makes rectangular patchwork quilts out of leftover fabric scraps. The first scrap she is using to make a quilt has a wi

dth of 2x feet and a
Hength of 5x feet. When finished, the entire quilt will be 5 feet wider and 3 feet longer than the first fabric scrap used. Which of the following
functions will give the area, fx), of the quilt in square feet?
Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

Answer:

Area = f(x)=10x^2 + 31x + 15

Step-by-step explanation:

The function is the area function of a rectangle.

Area of Rectangle = Length * Width

Length of fabric scrap = 5x

Length of rectangular patchwork will be 5x + 3

and

Width of fabric scrap = 2x

Width of rectangular patchwork will be 2x + 5

THus, Area = (5x+3)(2x+5) square feet.

Let's expand:

Area = f(x) = (5x+3)(2x+5)\\f(x)=10x^2 + 25x + 6x + 15\\f(x)=10x^2 + 31x + 15

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Answer:

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Step-by-step explanation:

Given

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2x = 24 ( divide both sides by 2 )

x = 12

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The distance between Town A and Town B is 45 kilometers.
ololo11 [35]

Answer:

a)

0.8 hours

b)

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Step-by-step explanation:

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2w-1 divided by 5+w+2=2w
FromTheMoon [43]

Answer:

(2w-1)/5+w+2=2w

We simplify the equation to the form, which is simple to understand  

(2w-1)/5+w+2=2w

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Remove unnecessary parentheses

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We simplify left and right side of the equation.  

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