If the sum of a number and nine is doubled, the result is eight less than the number. find the number.

Equation

Let the number = x

2*(x + 9) = x - 8    

Solve

2(x + 9) = x - 8                    Remove the brackets on the left

2x + 18 = x - 8                    Subtract x from both sides

2x - x + 18 = - 8                  2x and - x will combine

x + 18 = - 8                          Subtract 18 from both sides

x = -8 - 18

x = - 26

Check

LHS

2(-26 + 9)

2(-17)

-34

RHS

x - 8

-26 - 8

- 34 and the RHS = LHS and they check

positive

step-by-step explanation:

the quadrant is facing upwards

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.