4algebra 1 questions if you know the answers try to get me to understand what is the simplified form of (x-2)(2x+3) use the distributive property

Distribute each term in one parenthesis to the other terms in the other parenthesis.

(x - 2) (2x + 3)

First, distribute x. When distributing, multiply

x(2x) = 2x²

x(3) = 3x

Next, distribute the other term, -2. Remember to change the signs.

-2(2x) = -4x

-2(3) = -6

2x² + 3x - 4x - 6

Combine like terms

3x - 4x = -x

2x² - x - 6

2x² - x - 6 is your answer

hope this helps

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

b

step-by-step explanation: