You are doing a math quiz and need to complete at least 12 geometry problems and algebra problems within 2 hours. It will
take you 15 minutes to complete a geometry problem and 5
minutes to complete an algebra problem. Write a system of
inequalities to express this situation. What is the most possible
number of geometry problems you can complete and still meet
the requirements?

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

10 b/c 5*2 =10

step-by-step explanation: