Question

A random number, x, is generated, where x is any real number.

(a) Manuel adds 2 to x. He subtracts x from 10. Manuel then multiplies these two results to give his number, y.

Show that y = 20 + 8x - x?.​

Answer 1

Explanation:

Say that x = 1, since x can be any real number.

From part a -> x +2 = 3

and -> 10-x =9

then multiply the two results to get y -> 3x9 = 27

Now look at y=20+8x-x and plug in the same value for x where x = 1

you get -> y = 20 + 8(1) -(1) which simplifies out to 27. Therefore the equation is proven since they equal the same value.