(1) -(5y - 2)= -5y+2
(2) -5 (3n + 1)= -15n - 5
(3) too long to do
Answer:
x = -3 and x = -3/2
Step-by-step explanation:
After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:
p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>
p(x) = x^2(2x+3) <u>-9(2x+3)</u>
Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:
p(x) = (x^2 - 9)(2x+3)
Factor it once more because there's a difference of squares:
p(x) = (x+3)(x-3)(2x+3)
Now just plug in whatever makes the each bracket equal 0:
x = -3, x = 3, and x = -3/2
Those are your zeros.
Answer:
A) $40
B) 40M = P
C) $3,120
Step-by-step explanation:
Given that at her salon, last week Tammy did 25 manicures and collected $ 1000, to calculate the slope to represent the manicures, write an equation to represent this relation and determine how much would Tammy make if she did 78 manicures in a month the following calculations should be performed:
A)
1000/25 = X
40 = X
Thus, each manicure costs $ 40.
B)
40M = P
C)
78 x 40 = X
3.120 = X
So if she did 78 manicures in a month, Tammy would earn $ 3,120.
Lines equal 180°. The line with angles 5 and 7 equals 180°. If angle 7 equals 61°, then angle 5 equals 119° (180° - 61°= 119°).
Angles 5 and 8 are opposite vertical angles, which are always congruent (equal), so angles 5 and 8 both equal 119°.
119° (angle 5) + 119° (angle 8)= 238°
ANSWER: The two angles total 238° (bottom choice).
Hope this helps! :)
