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MrRa [10]
3 years ago
5

The length of a rectangle is 7 inches less than twice the width, w, of the rectangle.

Mathematics
1 answer:
Ivan3 years ago
4 0

Answer:

Step-by-step explanation:

Let w represent the width of the rectangle.

The length of a rectangle is 7 inches less than twice the width, w, of the rectangle. It means that the length is (2w - 7) inches

Part A

The function that gives the area as a function of the width is

A(w) = w(2w - 7)

Part B:

If the area of the rectangle is 60 square inches, it means that

w(2w - 7) = 60

2w² - 7w = 60

2w² - 7w - 60 = 0

2w² + 8w - 15w - 60 = 0

2w(w + 4) - 15(w + 4) = 0

2w - 15 = 0 or w + 4 = 0

w = 15/2 or w = - 4

Since w cannot be negative, then

w = 15/2 = 7.5 inches

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3 years ago
Solve (2 - x)^2 < 4/25
Semenov [28]

Answer:

8/5 < x< 12/5

Step-by-step explanation:

(2 - x)^2 < 4/25

Take the square root of each side

sqrt((2 - x)^2)  <±sqrt( 4/25)

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Subtract 2 from each side

2-x-2 < 2/5 -2          2-x-2  > -2/5-2

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-x < -8/5                         -x > -12/5

Multiply by -1, remembering to flip the inequality

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5 0
3 years ago
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3 years ago
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muminat

Answer:

f(2) = 2.5×2-10.5

=5-10.5

=-5.5

g(2) = 64(0.5×2)

= 64×1

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f(3)=2.5×3-10.5

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