The vertex form of a quadratic function is:
f(x) = a(x - h)² + k
The coordinate (h, k) represents a parabola's vertex.
In order to convert a quadratic function in standard form to the vertex form, we can complete the square.
y = 2x² - 5x + 13
Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.
y - 13 = 2x² - 5x
Factor out 2 on the right side of the equation.
y - 13 = 2(x² - 2.5x)
Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.
y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)
y - 13 + 3.125 = 2(x² - 2.5x + 1.5625)
Add the constants on the left and factor the expression on the right to a perfect square.
y - 9.875 = 2(x - 1.25)²
Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.
y = 2(x - 1.25)² + 9.875
Vertex: (1.25, 9.875)
Solution: y = 2(x - 1.25)² + 9.875
Or if you prefer fractions
y = 2(x - 5/4)² + 79/8
Answer:
65 degrees, because vertical angles are always congruent.
Step-by-step explanation:
FV=(240)[1+(0.09/12)]^(12*14]
=(240)[1+0.0075]^168
=(240)(3.5088855954842)
=$842.13 ( answer )
(Sunday, Monday, Wednesday) 3X10=30 hours
(Tuesday, Thursday, Friday) 3X7= 21 hours
30 hours + 21 hours = 51 Hours.
She made $612.00 for 51 hours. $612.00 divided by 51= $12.00 per hour
Answer:
C; None of the above.
Step-by-step explanation:
Pretend x=1, y=0, and z=2.
You have to match an answer to 1+0-2 (equals to -1).
The first equation would be 2+0+1. When you add them all together you get 3, and that isn't equivalent to -1, so therefore this one is not the answer.
The second equation becomes 1+2+0, and when you solve for the answer, you see that the answer is also 3, and so we can conclude that neither A or B matches with the equation above, so the answer is C, None of the above.
