How many solutions does the following equation have ? - 32 +9 – 2x = -12 – 5x
Choose 1
No solutions
B
Exactly one solution
С
Infinitely many solutions

Exactly one solution.

Step-by-step explanation:

- 32 +9 – 2x = -12 – 5x

1.Add numbers

-23 - 2x= -12-5x

2.Rearrange terms

-2x - 23 = -12 - 5x

3. Rearrange terms

-2x - 23 = -5x-12

4. Add 23 to both sides of the equation

-2x-23+23= -5x-12+23

5.Simplify

-2x= -5x+11

6.Add 5x to both sides of the equation

-2x+5x=-5x+11+5x

7.Simplify

3x=11

8.Divide both sides of the equation by the same factor

=

9.Simplify and Solution

x=

d. 9

step-by-step explanation:

in the table given in the picture, x is the input of the function and f(x) is the output on the given input. in the given table, it can be read as the value of function at -3 is it's respective value of f(x) which is -9.

as we have to find the value of f(3), we will see that what is the value of output on input 3. we can see in the table that the output value at x=3 is 9.

so, option d is the correct answer ..