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GalinKa [24]
3 years ago
7

Pierce removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can

be modeled by the expression 10x2 −17x + 3, where x is the time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
10(x − 3)2 − 1
10(x − 1)2 − 3
(5x − 1)(2x − 3)
10(0)2 − 17(0) + 3
Mathematics
2 answers:
kumpel [21]3 years ago
4 0

Answer:

(5x - 1)(2x - 3)

10x^2 - 17 + 3 = (5x - 1)(2x - 3)

alexira [117]3 years ago
3 0

Answer:

C.(5x − 1)(2x − 3)

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Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Ishaan now?
MrRissso [65]
I= Ishaan's age= 2C
C= Christopher's age

35 years ago means we have to subtract 35 from their current age. Ishaan minus 35 equals 7 times Christopher minus 35 years.

CHRISTOPHER'S AGE:
I - 35= 7(C-35)
substitute I=2C in for I
multiply 7 by all in parenthesis

2C - 35= 7C - 245

add 35 to both sides
2C= 7C - 210

subtract 7C from both sides
-5C = -210

divide both sides by -5

C= 42 Christopher's age


ISHAAN'S AGE:
I= 2C
substitute C=42 to find Ishaan's age
I= 2(42)

I= 84 Ishaan's age

CHECK:
Substitute answers in original equation

I - 35= 7(C-35)
84 - 35= 7(42-35)
49= (7*42)+(7*-35)
49= 294-245
49=49

Hope this helps! :)

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