Answer: 2
Steps:
f(-2) = 1/2x^2
f(-2) = 1/2(-2)^2
f(-2) = 1/2(4)
f(-2) = 2
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let me help out.
Timothy purchased $11.25 worth of groceries and paid $12.15 after taxes on Monday.
We would solve this using direct proportion.
y = kx.
12.15 = 11.25k
k = 12.15 / 11.25
k = 1.08
Timothy paid $59.13 after taxes on a purchase of groceries that cost $54.75 on Friday.
y = kx.
59.13 = 54.75k
k = 59.13 / 54.75
k = 1.08
The equation that models the relationship will be:
y = 1.08x
To solve a system of equation by elimination, the coefficients of the same variable of both equations must be equal. In this case, let's choose y.
In order to make the coefficient of y of the second equation be equal to 7, we divide it by 2. Resulting to:
2x - 7y = -34
Next, add the two solutions so that the y term is eliminated. The result is:
10x = 5
Then solve for x
x = 1/2
Substitute x to either of the solution to solve for y. The result is:
y = 5