Answer:
B. The functions f(x) and g(x) are reflections over the y-axis.
Step-by-step explanation:
From the information given the table appears as;
x f(x)=2^x g(x)=0.5^x
2 4 0.25
1 2 0.5
0 1 1
-1 0.5 2
-2 0.25 4
Plotting the two graphs to view the trends;
In the graph of f(x)=2^x against x you notice a curve with increasing positive slope.
In the graph of g(x)=0.5^x against x you notice a curve with a negative slope that is increasing.
In combining both graphs you notice that f(x) and g(x) are reflections over the y-axis.
Correct answer is ;The functions f(x) and g(x) are reflections over the y-axis.
Answer:
Option C.
Step-by-step explanation:
The given logarithmic equation is
It can be written as
![[\because log_ax=y\Leftrightarrow x=a^y]](https://tex.z-dn.net/?f=%5B%5Cbecause%20log_ax%3Dy%5CLeftrightarrow%20x%3Da%5Ey%5D)
Now, to check whether is a true solution or not. Substitute in the LHS of given equation.
![[\because log_aa^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20log_aa%5Ex%3Dx%5D)
Hence, is a true solution because 
.
Therefore, the correct option is C.
The probability is 34% because 9/26=.34615384615. The first 2 numbers makes the percentage
Answer: A)
The first one because the x don’t repeat
Answer:
slope is -5
Step-by-step explanation:
The formula for slope is:
m = (y2 - y1)/(x2 - x1)
m = slope
y2 = y-coordinate of second point
y1 = y-coordinate of first point
x2 = x-coordinate of second point
x1 = x-coordinate of first point
We can choose our first and second points as any points on the table, but we will choose the first andd second points which are (-5,10) and (-3,0).
y2 = 0
y1 = 10
x2 = -3
x1 = -5
m = (0-10)/(-3-(-5))
m = (-10)/(-3+5)
m = (-10)/(2)
m = -5
