3 years ago

Which of the following is equivalent to (n-3)(n-5) a. n2-8n+15, b. n2+8n-15, c. n2-15n+8

1 answer:

5 0

Foil the binomials

First: n*n=n^2
Outer: n*-5=-5n
Inner: -3*n=-3n
Last: -3*-5=15

Put it together and simplify
n^2-5n-3n+15
n^2-8n+15

Final answer: A

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Step-by-step explanation:

Step 1: Define

$\frac{4.5}{y} =\frac{12.5}{4}$

Step 2: Solve for y

Cross-multiply: $4(4.5) = 12.5y$
Multiply: $18 = 12.5y$
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Rewrite: $y=1.44$

Step 3: Check

Plug in y to verify it's a solution.

Substitute: $\frac{4.5}{1.44} =\frac{12.5}{4}$
Divide: $3.125=3.125$

Here, we see that 3.125 does indeed equal 3.125. ∴ y = 1.44 is a solution of the equation.

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