Answer:
Below in bold.
Step-by-step explanation:
f(x) = 1/2x^2 + 4x
Convert to vertex form:
f(x) = 1/2(x^2 + 8x)
= 1/2 [(x + 4)^2 - 16]
= 1/2(x + 4)^2 - 8 <------ Vertex form.
So the Vertex is at (-4, - 8).
Axis of symmetry is x = -4.
y -intercept (when x = 0) = 8-8 = 0.
Answer:
i don't know
Step-by-step explanation:
Answer:
i dont know 36 corndogs
Step-by-step explanation:
Your answer will be A, 20 hours to take the crew to complete a building with 200 windows
Answer:
z = x^3 +1
Step-by-step explanation:
Noting the squared term, it makes sense to substitute for that term:
z = x^3 +1
gives ...
16z^2 -22z -3 = 0 . . . . the quadratic you want
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<em>Solutions derived from that substitution</em>
Factoring gives ...
16z^2 -24z +2z -3 = 0
8z(2z -3) +1(2z -3) = 0
(8z +1)(2z -3) = 0
z = -1/8 or 3/2
Then we can find x:
x^3 +1 = -1/8
x^3 = -9/8 . . . . . subtract 1
x = (-1/2)∛9 . . . . . one of the real solutions
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x^3 +1 = 3/2
x^3 = 1/2 = 4/8 . . . . . . subtract 1
x = (1/2)∛4 . . . . . . the other real solution
The complex solutions will be the two complex cube roots of -9/8 and the two complex cube roots of 1/2.