The answer will 1 4/6 or (10/6) yards of wallpaper
Buckle up, this one was a long one.
I set up 1 / 3(12 + x) as a fraction and set it equal to - 8(6 - x).
Get rid of the parentheses by distributing the integers on the outside. You get 1 / 36 + 3x = - 48 + 8x.
To get rid of the fraction, you multiply both sides by the (36 + 3x) polynomial to get 1 = (- 48 + 8x)(36 + 3x).
Now we do the FOIL method to get 1 = 24x^2 + 288x - 144x - 1728. Combine like terms to get 24x^2 + 144x - 1728 = 1.
Simply again by dividing each term the GCF of 24 to get 24(x^2 + 6x - 72) = 1.
Factor the inside of the parentheses to get 24(x + 12)(x - 6) = 1. Now divide both sides by 24 to isolate the x variables to get (x + 12)(x - 6) = 1/24.
Set each polynomial equal to 1/24 to get you possible answers for what x can be.
x + 12 = 1/24. Subtract 12 from both sides; you get x = - 12 + 1/24 to get x = - 11 23/24.
x - 6 = 1/24. Add 6 to both sides; you get x = 6 + 1/24 to get x = 6 1/24
Answer:
16
Step-by-step explanation:
using the abs value rewrite equation to: 8 + 4(-5 + 9) ÷ 2
8+4(4)/2
8+16/2
8+8=16
hope this helps
Answer:
8.74 (3.50) + 3.50
= $51.57
Step-by-step explanation:
Answer:
The multiplicative rate of change is 3
Step-by-step explanation:
The given graph passes through the points:
The multiplicative rate of change is the factor that multiplies each y-value to give the subsequent y-values.
We can find that factor by dividing a y-value by the previous y-value of any two consecutive y-value.
The multiplicative rate of change is 
or 
or 
or 
.
