Sequence: -4, 8, -16
rate of increase: -16/8 = -2
If you make A1 the first term in the sequence you must use (n-1) in the explicit formula. If you go backwards in the sequence to find A0 = 2 then you would use n.
The don't have A0 = 2 listed as an option so we use A1 = -4 and (n-1) terms.
An = -4(-2)^(n-1)
Solving for the 5th term A5, use n = 5
A5 = -4(-2)^(5-1)
A5 = -4(16)
A5 = -64
So the answer is B.
Answer: Second option.
Step-by-step explanation:
Below are some transformations for a function f(x) :
1. If
, the function is shifted "k" units up.
2. If
, the function is shifted "k" units down.
3. If
, the function is shifted "k" units right.
4. If
, the function is shifted "k" units left.
The Cube root parent function is:
![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
By definition, the graph of this function passes through the origin, as you can observe in the picture attached.
In this case, you need to analize the graph given in the exercise. You can see that the the graph of the function h(x) is like the parent function f(x), but shifted 2 units left.
Therefore, based on the transformations explained above, you can determine that the equation of the function h(x) is the following:
![h(x)=f(x+2)\\\\h(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=h%28x%29%3Df%28x%2B2%29%5C%5C%5C%5Ch%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D)
You got it correct
about + - 10.4
Answer:
Step-by-step explanation:
In parallelogram opposite angles are equal
6x = 66 {Divide both sides by 6}
x = 66/6
x = 11
20y - 46 = 13y + 10 {Add 46 to both sides}
20y - 46 + 46 = 13y + 10 + 46
20y = 13y + 56 {Subtract 13y from both sides}
20y - 13y = 13y-13y + 56
7y = 56 {Divide both sides by 7}
y = 56/7
y = 8