Answer:
you would subtract thoose numbers
Step-by-step explanation:
Answer:
g(1) = -6
Step-by-step explanation:
g(x) = -2x^2 - 4x
You want to solve for g(1). To do this make every x value in the original equation become 1.
g(1) = -2(1)^2 - 4(1)
Evaluate the exponent.
g(1) = -2(1) - 4(1)
Multiply.
g(1) = -2 - 4
Subtract.
g(1) = -6
Let the price of paint be x and the price of brush be y
8x + 3y = 152.5 ------------ (1)
6x + 2y = 113 --------------- (2)
(1) x 2 :
16x + 6y =305 -------------(1a)
(2) x (3) :
18x + 6y = 339 -------------(2a)
(2a) - (1a) :
2x = 34
x = 17 ---------- sub into (2)
6(17) + 2y = 113
102 + 2y = 113
2y = 113 - 102
2y = 11
y = 5.5
x = $17, y = $5.50
Each gallon of paint costs $17 and each brush costs $5.50

I'm not sure what methods you've learned up to this point but one option is to apply separation of variables:

and then integrate from there,

exponentiate to isolate y,

Apply exponent rule,

rename this e^c as some new constant, perhaps A,

This A can only be positive, non-zero, but absorbing the plus/minus fixes that restriction,

Use your initial information to solve for this unknown value A,

solving for A, dividing by the exponential,

So we get a final result of

apply exponent rule again to get a better looking answer, and factor,

Lemme know if too confusing.
Answer:
37
Step-by-step explanation:

the absolute value is always positive. imagine it as "how much away from zero"