Answer:
(3,3)
(-5,19)
Step-by-step explanation:
y= x^2 - 6
y=-2x + 9
Set the two equations equal to each other y=y
x^2 - 6 =-2x + 9
Add 2x to each side
x^2 +2x- 6 =-2x+2x + 9
x^2 +2x- 6 = 9
Subtract 9 from each side
x^2 +2x- 6-9 =9- 9
x^2 +2x- 15 =0
Factor the left hand side
What 2 numbers multiply to -15 and add to 2
-3 *5 = -15
-3+5 = 2
(x-3) (x+5) =0
Using the zero product property
x-3 =0 x+5 =0
x=3 x=-5
Now we find y for each x
x=3
y=-2(3) + 9 = -6+9 =3
(3,3)
x=-5
y=-2(-5) + 9 = 10+9 =19
(-5,19)
Answer:
4w+120.
Step-by-step explanation:
She downloads 4 songs for every week which is represented as 4w, and she started with 120 songs which is represented as +120.
Answer:
4x-9
Step-by-step explanation:
6+7x-4-3x-11
Combine like terms: 7x-3x = 4x
:6-4-11 = -9
Combine them together and you get 4x-9
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Subtract 4 from 6
7
x
+2-3x-11
Subtract 3x from 7x
4x+2-11
Subtract 11 from 2
4x-9