Spongebob is trying to get his house painted. Patrick’s painting inc. charges $25 per hour and $70 for the materials. Pearls paint llc. Charges $10 per hour and $100 for materials. Find the number of hours you would need to hire each service so the cost is for the same for both companies. Write and answer an equation.

there is no image or shapes attacted

step-by-step explanation:

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.