M = 135/19 and n = -5/19
You have to give them like terms so that when you eliminate they cancel out and you can solve. The easiest way to do so is by multiplying the top equation by -4 and the bottom by 3.
D is a prime polynomial.
The best way to figure this out is by attempting to factor them all. Each of them factors into perfect squares except for D.
A)
x^2 - 6x + 9 = (x - 3)^2
B)
x^2 + 16x + 64 = (x + 8)^2
C)
4x^2 + 20x + 25 = (2x + 5)^2
D we can also tell won't have a perfect square like that because it ends in a negative number. No number multiplied by itself is negative.
Answer:
Flashlight ; = $2.99
Water bottle = $1.50
Toothbrush = $1.29
Compass = $3.29
Step-by-step explanation:
Sales tax = 7%
Item: _____ price
Flashlight ; = $3.20
Water bottle = $1.61
Toothbrush = $1.38
Compass = $3.52
Total cost = price of item + sales tax
Sales tax = 7%
Total cost = (1 + 7%) * price of item
Total cost = (1 + 0.07) * price of item.
Total cost = 1.07* price
Flashlight = 1.07*1.29 = $3.20
Water bottle = 1.07*1.50 = $1.61
Toothbrush = 1.07*1.29 = $1.38
Compass = 1.07*3.29 = $3.52
Answer:
Step-by-step explanation:
(Assuming the den is a rectangle)
Let 
be the length of the den. Because the length is 10 feet longer than the width, the width of the den can be represented as 
.
The area of a rectangle is given as 
, therefore we can form the following equation:
Expanding this, we have:
This factors into 
, therefore 
.
Because -11 is extraneous, the length of the den is 
feet and the width is 
. Thus, the dimensions of the den are 
.
Let x = how much Asrid spent on her skirt
We are then given the fact that
2x - 12 = 36 so
2x = 48 and
x = 24, the amount she spent on her skirt
