The standard form of the equation of a parabola is x = y2 - 4y + 20. What is the vertex form of the equation? A.x = (y - 4)2 + 1
2 B.x = (y - 2)2 + 16 C.x = (y - 2)2 + 4 D.x = (y - 4)2 + 4
1 answer:
If Logx<span> (1 / 8) = - 3 / 2, then x is equal to </span>
Solution
Rewrite the logarithmic equations using exponential equation
x- 3 / 2<span> = 1 / 8 </span>
The above equation may be rewritten as
x<span> - 3 / 2</span><span> = 1 / 2</span>3<span> = 2</span>-3
(√x)-3<span> = 2</span>-3
The above equation gives
<span>√x = 2 or x = 4
</span>
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1. Domain.
We have
in the denominator, so:
![x^2-2x-3\neq0\\\\(x^2-2x+1)-4\neq0\\\\(x-1)^2-4\neq0\\\\(x-1)^2-2^2\neq0\qquad\qquad[\text{use }a^2-b^2=(a-b)(a+b)]\\\\(x-1-2)(x-1+2)\neq0\\\\ (x-3)(x+1)\neq0\\\\\boxed{x\neq3\qquad\wedge\qquad x\neq-1}](https://tex.z-dn.net/?f=x%5E2-2x-3%5Cneq0%5C%5C%5C%5C%28x%5E2-2x%2B1%29-4%5Cneq0%5C%5C%5C%5C%28x-1%29%5E2-4%5Cneq0%5C%5C%5C%5C%28x-1%29%5E2-2%5E2%5Cneq0%5Cqquad%5Cqquad%5B%5Ctext%7Buse%20%7Da%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D%5C%5C%5C%5C%28x-1-2%29%28x-1%2B2%29%5Cneq0%5C%5C%5C%5C%0A%28x-3%29%28x%2B1%29%5Cneq0%5C%5C%5C%5C%5Cboxed%7Bx%5Cneq3%5Cqquad%5Cwedge%5Cqquad%20x%5Cneq-1%7D)
So there is a hole or an asymptote at x = 3 and x = -1 and we know, that answer B) is wrong.
2. Asymptotes:
We have only one asymptote at x = -1 (and hole at x = 3), thus the correct answer is A)
Answer: 14x + 42
7(2x+4)+14
14x + 28 + 14
<u>14x + 42</u>
Step-by-step explanation:
I made this graph for you- the red is the 80%, and the green is the leftover 20%.
The answer is -271/4x + 681/2
Answer:a)680cu.ft
b)180cu.ft
Hope this helped you...
Step-by-step explanation:
