Rajani can ride her skateboard 2 miles in 10 minutes how many miles can she ride her skate board in 1.5 hours

450 miles

Step-by-step explanation:

This is a direct variation. Such a relationship exist between the miles covered and the time taken that an increase in one results in an increase in the other and vice versa.

Given that she can ride her skateboard 2 miles in 10 minutes

Let the distance be d and the time t

d∝t,

d = kt where k is the constant of proportionality

10 = 2(k), k  = 5

d= 5t

if she rides her skate board in 1.5 hours, the distance she will cover

d = 5(1.5 × 60)  to convert the time given from hours to minutes

d = 450 miles

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

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