The graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)? a parabola passing through negative 4 comma zero, negative 1 comma 9, zero comma 8, and 2 comma zero (x, −x2 − 2x + 8) for all real numbers (−4, 0), (−1, 9), (0, 8), (2, 0) (−4, 0), (2, 0) (x, y) for all real numbers

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

hreryryrranswer:

step-by-step explanation: