The difference of the product of two numbers and their sum is 23. If one number is 2 more than the other number, find the numbers.

9.5,7.5

Step-by-step explanation:

let x and y be the numbers.

let x>y

x=y+2

or x-y=2

(x-y)(x+y)=23

2(x+y)=23

2(y+2+2)=23

2(y+4)=23

2y+8=23

2y=23-8=15

y=15/2=7.5

x=y+2=7.5+2=9.5

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.