Let's consider the principal function first:
![f(x) = a^{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%5E%7Bx%7D)
For an exponential, we know that there is a horizontal asymptote at f(x) = 0. Thus, we know that
![f(x) = a^{x} > 0, x \in \mathbb{R}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%5E%7Bx%7D%20%3E%200%2C%20x%20%5Cin%20%5Cmathbb%7BR%7D)
By moving the graph down 4 units, we have changed the range of the graph. For
![f(x) = a^{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%5E%7Bx%7D)
, there is a horizontal asymptote at y = 0, then there is a horizontal asymptote at y = 4 for
![f(x) = a^{x} - 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%5E%7Bx%7D%20-%204)
Thus, we can conclude for any value of a, except for a = 1, we know that it will cross the x-axis.
Answer:
23 minus 15 equals 38
Step-by-step explanation:
urwelcome
Answer:
3, 4, 6, 7, 8, 9 are some examples
Answer:
1. Dots
2.Blank
3. Stripes
4. Stars
Step-by-step explanation:
Well the total is 30 and we just have to see the fraction of each time in landed on a specific part of the spinner. So first the probability of landing on dots is 6/30 = 1/5
Then the experimental probability of getting a blank is 8/30 = 4/15
Continuing in the same manner getting stripes would have a chance of 12/30 which is 2/5
Finally I'm gonna let you think about how I got the last one and why I did what I did :)
Answer:
A segment whose length is 9 units.
Step-by-step explanation:
A segment whose length is 9 units.
All we have is a bisection that divides equally segment JK in two parts. And M is the Midpoint what reassures us that JM=MK, so plugging in:
3x+15=8x+25
3x-8x=25-15
-5x=10
5x=-10
x=-2
JM=3(-2)+15 =9
MK=8(-2)+25=9