What is the product of (3x+5) and (x+4)

For this case we must find the product of

By definition, the distributive property states that:

Then, according to the expression we have:

Option C

C

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

3x(x + 4) + 5(x + 4) ← distribute both parenthesis

= 3x² + 12x + 5x + 20 ← collect like terms

= 3x² + 17x + 20

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!