Which is a factor of 5xy − 40x − 15y + 120? A. 2 B. y − 8 C. x − 4 D. x + 6

1 answer:

5 0

Upon slight rearranging:

5xy-15y-40x+120, now factor 1st and 2nd pair of terms

5y(x-3)-40(x-3) which is equal to:

(5y-40)(x-3) if we factor the first parenthetical term as well

5(y-8)(x-3)

So (y-8) is a factor

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Read 2 more answers

Three consecutive odd integers are such that the square of the third integer is 1515 greater than greater than the sum of the sq

Ksju [112]

Let
x-----------> first odd integer
x+2--------> second consecutive odd integer
x+4-------> third consecutive odd integer

we know that
(x+4)²=15+x²+(x+2)²-------> x²+8x+16=15+x²+x²+4x+4
x²+8x+16=19+2x²+4x-------> x²-4x+3
x²-4x+3=0

using a graph tool----------> to calculate the quadratic equation
see the attached figure
the solution is
x=1
x=3

the answer is
the first odd integer x is 1
the second consecutive odd integer x+2 is 3
the third consecutive odd integer x+4 is 5

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