Y = -2(x + 3)^2 - 4
First expand the parentheses:-
y = -2(x + 3)(x + 3) - 4
y = -2 [(x(x + 3) + 3(x + 3)] - 4
y = -2 ( x^2 + 3x + 3x + 9) - 4
y = -2(x^2 + 6x + 9) - 4
Now distribute the -2 over the parentheses:-
y = -2x^2 - 12x - 18 - 4
y = -2x^2 - 12x - 22 Answer
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = 1/2x + b
5 = 1/2(-2) + b
5 = -1 + b
6 = b
I’m guessing that this is for systems of equations?
n - nickels
d - dimes
These are the equations you start off with.
n = 5d-2
0.95 = 0.10d+0.05n
Substitute the top equation for n into the variable n in the bottom equation.
0.95 = 0.10d+0.05(5d-2)
Solve for d.
0.95 = 0.10d+0.25d-0.10
1.05 = 0.35d
3 = d
Substitute d into the top equation and solve for n.
n = 5(3)-2
n = 15-3
n = 12
There are 3 dimes and 12 nickels in the coin purse! Hope this helped <3
Answer:
b both pairs of opposite sides are parallel