Y=-2x+2 and y=x^2-3x.
If there are solutions the x and y values are equal so we can say y=y:
x^2-3x=-2x+2 add 2x to both sides
x^2-x=2 subtract 2 from both sides
x^2-x-2=0 now factor...
x^2+x-2x-2=0
x(x+1)-2(x+1)=0
(x-2)(x+1)=0
So there are two solutions, when x=-1 and 2
Using y=-2x+2 we can find the corresponding y values for the solutions...
y(-1)=-2(-1)+2=2+2=4, y(2)=-2(2)+2=-4+2=-2 so the two solutions are the points:
(-1,4) and (2,-2)
I honestly don't know but I think it would come out to be 4/5
Answer:
224 pounds
Step-by-step explanation:
Carson can hold 345 pounds. (assuming that is Maximum)
Hé already has 121 pounds.
345-121= 224
He can put 224 pounds more without going I we the weight limit.
$16 per month can be changed to 16m where m represents months.
The $2 per Pilates class can be 2p where p represents Pilates classes.
An equation of y = 16m + 2p can be set up, where y represents how much McKenna is charged total for gym membership ($52)
52 = 16m + 2p
We know that McKenna attended 12 Pilates classes, and we also know that McKenna attended 1 month, so we plug this in:
52 = 16(1) + 2(12) (simplify)
52 = 16 + 24 (add 24)
52 = 40
Since this is not equal, $52 is not the correct amount to be charged.
