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TiliK225 [7]
4 years ago
6

Reduce −2 + b2 by 7 + b2.

Mathematics
2 answers:
il63 [147K]4 years ago
8 0
To simplify (-2+b^2)-(7+b^2), first distribute the -1 to both terms in the second parenthesis. 
-2+b^2-7-b^2
Combine like terms.
-9 (1-1=0, so the b^2 is canceled out.)
(-2+b^2)-(7+b^2)=-9
Lynna [10]4 years ago
6 0

b^2-2

-b^2-7

______

-9


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Write and solve a compound inequality to model the possible length of the dog run.

The inequality to model the possible length of the dog run is;. 100 ≤ 2.50x ≥ 200

And the possible length of the dog run is 80ft.

Minimum spending = $100

Maximum spending = $200

Cost per square feet = $2.50

let

x = possible number of square feet

The inequality:

100 ≤ 2.50x ≥ 200

This means possible number of square feet constructed is greater than or equal to $100 or less than or equal to $200

solve:

100 ≤ 2.50x ≥ 200

divide the inequality into 2

100 ≤ 2.50x

x ≤ 100/2.5

x ≤ 40

the other part:

2.50x ≥ 200

x ≥ 200/2.50

x ≥ 80

Therefore,

the possible length of the dog run is 80 feet

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