Given the trinomial, what is the value of the coefficient b in the factored form? 2x2 + 4xy − 48y2 = 2(x + by)(x − 4y) −12 12 −6 6

B is 6.

Step-by-step explanation:

We are trying to find a value for such that:

is true for every .

So let's choose :

Divide both sides by -8:

Note: I didn't want to choose y to be 0 because the value of B would disappear from the equation. So you should be able to have chosen any x and y except for y=0 to solve the equation for B.

Check:

So let's check and use foil to multiply out the right hand side.

There was a 2 in front of that multplicapltiation:

This is exactly what we have on the left hand side of your given equation.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9