A furniture company makes book shelves and desks. Each shelf requires 2 hours for carpentry work and 1 hour for painting. Each desk requires 3 hours for carpentry and 4 hours for painting. The company has a maximum of 60 hours for carpentry work and 40 hours of painting available each week, and they make a profit of $15 per shelf and $40 per desk. How shelves and how many desks should they make to maximize profit

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.