First you need to use the distributive property: 27(x+4)=-6
27x+108=-6
then you need to subtract 108 from -6 to
get x alone. 27x= 102
Lastly divide 102 by 27 to finally get x alone: x=3.777
the answer would be: x= 3.77 or 3.8
Answer:
The cost of the carpet at Magic Carpet is: 90 + 9*(area of carpet)
The cost of carpet at Carpeteria is: 50 + 13*(area of carpet)
The algebraic expression for which the cost is the same is: 90 + 9*(area of carpet) = 50 + 13*(area of carpet)
The area of carpet for which the cost is the same is: 10 square yard
Step-by-step explanation:
6a) The cost for magic carpet:
This company charges a fixed fee and a price for each square yard of carpeting, therfore the expression for the cost is:
cost = 90 + 9*a
Where a is the area of carpet to be installed.
6)b) The cost for Capeteria:
This company also charges a fixed fee and a price for each square yard of carpeting, so the expression is:
cost = 50 + 13*a.
6) c) The algebraic expression for the cost to be the same in both stores:
90 + 9*a = 50 + 13*a
6) d) We need to solve the expression above for a:
50 + 13*a = 90 + 9*a
13*a - 9*a = 90 - 50
4*a = 40
a = 40/4 = 10
Answer:
1. a=3, b = 2, c = 1.
2. a=2, b=3, c=4, d=6.
3. a = 9, b = 3.
Step-by-step explanation:
1. 3 | 21 is a counterexample because 3 does not divide into 2 or 1.
2. 23 | 46 is a counterexample because 2 does not divide into 3.
3. 9 | 3^2 is a counterexample because 9 does not divide into 3.
One is a linear and the other is a quadratic polynomial.
And (x+2) is indeed a factor.
You can rewrite it as (x+2)(3x-7)
