Question:
Solution:
The solution to a system of linear equations is where the graphs of each linear equation intersect. In this case, we can see that the lines intersect at the point:
(-3,2)
thus, the correct answer is (-3,2).
Answer:
375 sweaters sold, 125 sweaters did not sell
Step-by-step explanation:
A percent is the piece of the whole or total. 25% decrease means the total of 500 sweaters must be decreased by 25% or 1/4. We multiply 500 by 0.25 and get 125. This means that 125 less sweaters sold then expected. To find the number of sales which did occur we subtract 125 from 500.
500(0.25)=125
500-125=375 sweaters sold
Answer:
120.00
Step-by-step explanation:
Let x be the original price
The price is 10% off, or we pay 90% of the original price
.9 x
Then we have to pay 7% sales tax
.9x * 7%
.9x * .07
.063x is the tax
Add this to the .9x we have to pay for the jacket
.9x + .063x = .963x
This is the cost of the jacket
.963x = 115.56
Divide each side by.963
.963x/.963 = 115.56/.963
x =120.00
The cost of the jacket before discount and tax is 120.00
Answer:
Step-by-step explanation:
2a) p * ![(3p^{3} )^{2}](https://tex.z-dn.net/?f=%283p%5E%7B3%7D%20%29%5E%7B2%7D)
* ![9p^{2*3}](https://tex.z-dn.net/?f=9p%5E%7B2%2A3%7D)
* ![9p^{6}](https://tex.z-dn.net/?f=9p%5E%7B6%7D)
![9p^{6+1}](https://tex.z-dn.net/?f=9p%5E%7B6%2B1%7D)
![9p^{7}](https://tex.z-dn.net/?f=9p%5E%7B7%7D)
2b) (
*
*
) / ![y^{6}](https://tex.z-dn.net/?f=y%5E%7B6%7D)
*
/ ![y^{1}](https://tex.z-dn.net/?f=y%5E%7B1%7D)
/ y
/y
Answer:
(x + 3)²
Step-by-step explanation:
Given
x² + 6x + 9
This is a perfect square of the form
(x + a)² = x² + 2ax + a²
Compare like terms
a² = 9 ⇒ a = 3 and 2a = 2 × 3 = 6, thus
x² + 6x + 9 = (x + 3)² → D