Josiah owns a food truck that sells tacos and burritos. He only has enough supplies to make 149 tacos or burritos. He sells each taco for $5 and each burrito for $7.50. Josiah must sell a minimum of $930 worth of tacos and burritos each day. If 79 burritos were sold, determine all possible values for the number of tacos that Josiah must sell in order to meet the requirements.

what's that

32

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.

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.