Answer:
I think it's the first one... but I'm not pretty sure.
graph A
no x-intercept
no y-intercept
H.A is y = 5
V. A. is x = 0
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Answer: ![\frac{150}{31}](https://tex.z-dn.net/?f=%5Cfrac%7B150%7D%7B31%7D)
<u>Step by step explanation:</u>
log₆(5x + 6) - log₆(x - 4) = 2
log₆
= 2
= 6²
= 36
5x + 6 = 36(x - 4)
5x + 6 = 36x - 144
6 = 31x - 144
150 = 31x
= x
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Answers:
- a. (-1, -5)
- b. up
- c. x = -1
- d.
![\frac{-2+\sqrt{15}}{3} and\frac{-2-\sqrt{15}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%2B%5Csqrt%7B15%7D%7D%7B3%7D%20and%5Cfrac%7B-2-%5Csqrt%7B15%7D%7D%7B3%7D)
- e. -2
- f. see attachment
- g. domain (-∞, ∞) range [-5, ∞)
<u>Explanation:</u>
f(x) = 3x² + 6x - 2
a=3 b=6 c=-2
x = ![\frac{-b}{2a} =\frac{-6}{2(3)} = \frac{-6}{6} = -1](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D%20%3D%5Cfrac%7B-6%7D%7B2%283%29%7D%20%3D%20%5Cfrac%7B-6%7D%7B6%7D%20%3D%20-1)
Axis Of Symmetry: x = -1
f(-1) = 3(-1)² + 6(-1) - 2
= 3 - 6 - 2
= -5
Vertex: (-1, -5)
x = ![\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%2B%2F-%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%7B2a%7D)
= ![\frac{-6+/-\sqrt{6^{2}-4(3)(-2)}}{2(3)}](https://tex.z-dn.net/?f=%5Cfrac%7B-6%2B%2F-%5Csqrt%7B6%5E%7B2%7D-4%283%29%28-2%29%7D%7D%7B2%283%29%7D)
= ![\frac{-6+/-\sqrt{36+24}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B-6%2B%2F-%5Csqrt%7B36%2B24%7D%7D%7B6%7D)
= ![\frac{-6+/-\sqrt{60}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B-6%2B%2F-%5Csqrt%7B60%7D%7D%7B6%7D)
= ![\frac{-6+/-2\sqrt{15}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B-6%2B%2F-2%5Csqrt%7B15%7D%7D%7B6%7D)
= ![\frac{-2+/-\sqrt{15}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%2B%2F-%5Csqrt%7B15%7D%7D%7B3%7D)
x-intercepts: ![\frac{-2+/-\sqrt{15}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%2B%2F-%5Csqrt%7B15%7D%7D%7B3%7D)
HOI!!!
it would be 1/2 because 42 divided by 35
hope this helps
:) :) :)