The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. the equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck. identify the independent and dependent variables.

For this case we have the following equation:

c = 25 + 0.6m

Where,

m: number of miles

c: total cost of rent

We note that the cost of rent depends on the number of miles the truck travels. Therefore, we have:

Independent variable: m

Dependent variable: c

The independent and dependent variables are:

Independent variable: m

Dependent variable: c

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

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