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Contact [7]
3 years ago
11

What is the range of possible values for x? I know the greater than values, but how do you find the less than values?

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

Answer:

D. 10 < x < 43

Step-by-step explanation:

4x+8 must be greater than 48, but less than 180.

48 < 4x + 8 < 180

40 < 4x < 172

10 < x < 43

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What is the area of this composite shape? Enter your answer in the box. in²
forsale [732]

Answer:

53 in.

Step-by-step explanation:

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3 years ago
The height of a triangle is 4 inches. Greater than twice it's base. The area of the triangle is no more than 168 in.². Which any
mestny [16]

Step-by-step explanation:

this problem seeks to test our knowledge on word problems and algebra

<u>Solution</u>

let the base be x, and

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substituting our given values we have

168= \frac{1}{2} x*(2x+4)\\\\168= \frac{2x^2+4x}{2} \\\\168= x^2+2x\\\\

re-arranging we have

x^2+2x-168=0\\\\

we can now find two factors that will add up to give 2 and multiply to give -168

they are 14 and -12

x^2-14x+12x-168=0\\\\x(x-14)+12(x- 14)=0\\\\x+12=0\\\\x=-12\\\\x-14=0\\\\x=14

The possible base of the triangle is 14 in

and the height is

h= 2x+4\\\\h=2(14)+4\\\\h= 28+4\\\\\h= 32 in

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Let x represent the number of television show episodes that are taped in a season a season. Write an expression for the number o
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