Factor completely 2x2 + 6x − 80. (2x − 5)(x + 8) (2x − 10)(x + 8) 2(x − 5)(x + 8) 2(x − 10)(x + 8)

2(x+8)(x-5)

Step-by-step explanation:

2x^2 + 6x − 80

Factor out a 2

2(x^2 + 3x − 40)

What 2 numbers multiply to -40 and add to 3

8*-5 = -40

8+-5 = -3

2(x+8)(x-5)

The right answer is 2(x-5)(X+8)

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.