Select the correct answer.
which statement is correct with respect to f(x) = -3|x − 1| + 12?

Opt. D.

Step-by-step explanation:

To solve this problem we need to focus our attention in the abs(x-1) function,

If x>1, then abs|x-1|= x-1, if x<1 then abs|x-1|= 1-x. And in the two intervals, the function opens upwards.

But our function has -3 multiplying abs|x-1|, This means that our function opens downward.

The vertex point can be found when x=1, since abs(x-1)=0. this gives f(1)=12

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step-by-step explanation:

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions