1. explain why the equation (x-4)^2 -28=8 has two solutions. then solve the equation to find the solutions. show your work.

answer:

x = 10 and x = (-2) are the solutions.

step-by-step explanation:

in the given equation (x - 4)² - 28 = 8

we will first find the zero factors which will further decide the number of solutions.

(x -4)² - 28 = 8

(x - 4)² -28 - 8 = 8 - 8 (by subtracting 8 on both the sides of the equation)

(x - 4)² - 36 = 0

(x - 4)²- 6² = 0

now we know [(a² - b²) = (a - b)(a + b)]

(x - 4 - 6)(x - 4 + 6) = 0

(x - 10)(x + 2) = 0

now the equation only two zero factors or two solutions.

x = 10 and x = -2

answer is two solutions only x = 10 and x = (-2).

2 x t divided by n

step-by-step explanation:

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.