Et f(x) = x + |2x − 3|. find all solutions to the equation f(x) = 12. (enter your answers as a comma-separated list. if an answer does not exist, enter dne.) x = $$5,−9 (b) let g(x) = 5x − 3 + |x + 4|. find all values of a which satisfy the equation g(a) = 4a + 9. (enter your answers as a comma-separated list. if an answer does not exist, enter dne.) a = $$4 (c) let h(x) = |x| − 2x + 5. find all solutions to the equation h(x − 1) = x − 3. (enter your answers as a comma-separated list. if an answer does not exist, enter dne.) x = $$ 9 2

1. {5,-9}

2.{4}

3.{9/2}

Step-by-step explanation:

The equation can be solved as follows:

Then, the solutions of the equation are .

Now, if , we can solve the equation as follows:

So, the unique solution of this last equation is

The last equation is , where . To solve this equation we can proceed as follows:

But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.

8

step-by-step explanation:

this is a subtraction problem.

10 - 2 = 8

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5