A tent manufacturer makes a standard model and an expedition model. Each standard tent requires 1 labor-hour from the cutting department and 3 labor-hours from the assembly department. Each expedition tent requires 2 labor-hours from the cutting
department and 4 labor-hours from the assembly department. The maximum labor-hours available per day in the cutting
department and the assembly department are 24 and 60, respectively.
The company makes a profit of $52 on each standard tent and $75 on each expedition tent.

Let x = standard tents
Let y = expedition tents

Then x + 2y = 24
and 3x + 4y < 60.

The graph of these functions is shown to the right. Since a negative number of tents cannot be
produced, both x and y have to be greater than zero.

Profit function
P = $52x + $75y

What is the maximum potential profit for tent sales?

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

ummm seems that u didnt post the attachement !

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

1 mph

step-by-step explanation:

if the question is asking how much does she drive per mile then,

13 / 13 = 1 mph