For this case what you should know is that both functions are of the potential type.
We have then that
y = 2 * 2 ^ x This function grows exponentially upwards.
y = -2 * 5 ^ x This function grows exponentially downwards.
Answer See attached graphics.
The second choice is correct. Given that angle 2 and angle 6 are congruent, the largest in each of the corresponding triangles are vertical angles meaning that two known angles are known in each triangle (and they are equal) which means that the last "unknown" (angles 3 and 7) are congruent. The lines DC and AB correspond with these defined, congruent triangles meaning they are parallel.
Answer: Option D
Step-by-step explanation:
By definition if we have a function F (x) and perform a transformation of the form
Then it is true that:
If c is negative the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the right
If c is positive, the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the left.
Note that in this case the transformation is:
Then 
and 
Therefore the graph of G(x) will be equal to the graph of F(x) displaced horizontally <em>9 units to the left</em>
The answer is the option D.
Answer:
The slope would would be -2
Step-by-step explanation:
Well, the answer to the question in your picture is $1200.
If x is the original price, and we took 23%, or 0.23 from that, we are left with 77%, or 0.77 of the full price.
So 0.77x = 924
x = 924/0.77
x = 1,200
1200 - 0.23(1200) = 924
924 = 0.77x
