Answer:
Alicia's Paycheck = x
Took half money for dinner x/2
She spent $42.15 on dinner and she brought home more than $20.00.
x/2 - $42.15 > $20.00
=> x/2 > $62.15
=> x > $124.3
Answer:
1/64
Step-by-step explanation:
Substitute the given value into the function and evaluate
<span>A. give the coordinate of F and H in terms of a
Given
E (0,0) and G (8,8)
H (8, [8-a])
F ([8 - a], 8)
</span><span>B. using the coordinate of E, F, G, and H, find the slope of EG and FH. show your work
Line EG
</span>E (0,0) and G (8,8)
slope = 8/8 = 1
Line FH
H (8, [8-a]) and F ([8 - a], 8)
slope = (8 - a - 8) / (8 - [8-a])
slope = (8 - a - 8) / (8 - 8 + a)
slope = -a/a
slope = -1
<span>C. use part B to prove that EG _|_ FH
Line </span>EG has slope = 1 and line FH has slope = -1
Slopes are negative and reciprocal so the line EG is perpendicular to line FH.
we have
![y = -6x^{2} + 3x + 2](https://tex.z-dn.net/?f=%20y%20%3D%20-6x%5E%7B2%7D%20%2B%203x%20%2B%202%20%20)
we know that
the vertex form of the vertical parabola equation is equal to
![y=a(x-h)^{2} +k](https://tex.z-dn.net/?f=%20y%3Da%28x-h%29%5E%7B2%7D%20%2Bk%20)
where
(h,k) is the vertex of the parabola
To find the equation rewritten in vertex form let's factor the equation
<u>Factor the leading coefficient </u>
![y = -6(x^{2} - 0.5x) + 2](https://tex.z-dn.net/?f=%20y%20%3D%20-6%28x%5E%7B2%7D%20-%200.5x%29%20%2B%202%20%20)
<u>Complete the square. Remember to balance the equation by adding the same constants to each side</u>
![y = -6(x^{2} - 0.5x+0.0625-0.0625) + 2](https://tex.z-dn.net/?f=%20y%20%3D%20-6%28x%5E%7B2%7D%20-%200.5x%2B0.0625-0.0625%29%20%2B%202%20%20)
![y = -6(x^{2} - 0.5x+0.0625) + 2 +0.375](https://tex.z-dn.net/?f=%20y%20%3D%20-6%28x%5E%7B2%7D%20-%200.5x%2B0.0625%29%20%2B%202%20%2B0.375%20)
![y = -6(x^{2} - 0.5x+0.0625) + 2.375](https://tex.z-dn.net/?f=%20y%20%3D%20-6%28x%5E%7B2%7D%20-%200.5x%2B0.0625%29%20%2B%202.375%20)
<u>Rewrite as perfect squares</u>
![y = -6(x-0.25)^{2} + 2.375](https://tex.z-dn.net/?f=%20y%20%3D%20-6%28x-0.25%29%5E%7B2%7D%20%2B%202.375%20)
therefore
the answer is
![y = -6(x-0.25)^{2} + 2.375](https://tex.z-dn.net/?f=%20y%20%3D%20-6%28x-0.25%29%5E%7B2%7D%20%2B%202.375%20)
Answer:
5,000
Step-by-step explanation: