Name Date
5.1
Practice
For use after Lesson 5.1
1. Use the table to find the break-even point. Check your solution.
C = 25x + 210
R = 60.x
0
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8.
С
R
Solve the system of linear equations by graphing.
2. y = 3x + 1
3. y = - 4x + 1

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.

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.