Remove both sets of brackets.
18 - 9x - 8 + 12x > 9 Collect like terms on the left.
12x - 9x + 18 - 8 > 9
3x + 10 > 9 Subtract 10 from both sides.
3x > 9 - 10
3x > - 1 divide by 3
x > -1/3
Notice what the graph is telling you. A blue dotted line is going through x = - 1/3 or - 0.3333
Everything to the right of - 0.333 is colored blue and that means anything to the right if going to be a solution to the inequality. To confirm this for yourself, try zero and 1. Both should give larger than 9 solutions.
Answer:
See below in bold.
Step-by-step explanation:
(-3)^3(2^6)/(-3)^5(2)^2
= (-3)^(3-5)*(2^4)
= 2^4 / (-3)^2 so a = 4 and b = 2.
2^4 / (-3)^2
= 16/9 so c = 16 and d = 9.
D) the answers growth because when the number 7 (in that position) is raised to a power it will grow at the rate of 7 to the power of (x)
The equation that represents the table of values is ![y=(\frac{1}{4})^x](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5Ex)
Step-by-step explanation:
We need to find the equation that matches the table of values.
x y
0 | 1
1 | 1/4
2 | 1/16
3 | 1/64
So, when x =0 y=1 and when x=1, y=1/4
if ![y=(\frac{1}{4})^x](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5Ex)
then putting x=0 we get y=1
x=1, we get y=1/4
x=2, we get y=1/16
x=3, we get y=1/64
So, the equation that represents the table of values is ![y=(\frac{1}{4})^x](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5Ex)
Kindly check your options, as option D should be ![y=(\frac{1}{4})^x](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5Ex)
Keywords: Solving Equations
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