How do you do this question?????
1 answer:
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Answer:
The answer to your question is:
Step-by-step explanation:
Data
f(x) = -2x² + 8x - 2
Process
-2x² + 8x = y + 2
-2(x² - 4x + 4) = y + 2 - 8
-2(x - 2)² = y - 6
(x - 2)² = 1/2 (y - 6)
Vertex = (2, 6)
Axis of symmetry = x = 2
y-intercept
f(0) = -2(0)² + 8(0) - 2
f(0) = 0 + 0 - 2
f(0) = -2
Domain (-∞, ∞)
Range (-∞, 6]
See the graph below
Set up a system of equations:
x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.
For the first equation, subtract y from both sides to get x by itself:
We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:
Distribute the 10 to both terms in parentheses:
Combine like terms:
Subtract 90 from both sides:
Divide both sides by -3 to get y by itself:
6 long sleeve shirts were bought.
Now you have a value for y. Input this value into the first equation:
Subtract both sides by 6 to get x by itself:
3 tee shirts were bought.
The answer is B. 3 tee shirts and 6 long sleeve shirts.