Given:
The given function is:
![f_1(x)=-3\cdot 2^{x-5}-4](https://tex.z-dn.net/?f=f_1%28x%29%3D-3%5Ccdot%202%5E%7Bx-5%7D-4)
The graph of the function is given.
To find:
The end behavior of the given function.
Solution:
We have,
![f_1(x)=-3\cdot 2^{x-5}-4](https://tex.z-dn.net/?f=f_1%28x%29%3D-3%5Ccdot%202%5E%7Bx-5%7D-4)
From the given graph it is clear that the function approaches to -4 at x approaches negative infinite and the function approaches to negative infinite at x approaches infinite.
as ![x\to -\infty](https://tex.z-dn.net/?f=x%5Cto%20-%5Cinfty)
as ![x\to \infty](https://tex.z-dn.net/?f=x%5Cto%20%5Cinfty)
Therefore, the end behaviors of the given function are:
as ![x\to -\infty](https://tex.z-dn.net/?f=x%5Cto%20-%5Cinfty)
as ![x\to \infty](https://tex.z-dn.net/?f=x%5Cto%20%5Cinfty)
Answer:
65.62
Step-by-step explanation:
Given:
After eating a meal at a restaurant, we decided to tip 25%, building a grand total of $87.50.
To find:
Price before tip
Solution:
87.50 × 25% = 21.875
~Round~: 21.875 to 21.88
87.50 - 21 .88 = 65.62
Thus the price before the tip is 65.62
Check Answer:
<em>Formula: Higher number - Lower number ÷ original number × 100</em>
<em>Solve: </em>
<em>87.50 - 65.62 = 21.88</em>
<em>21.88 ÷ 87.50=0.25005714285</em>
<em>0.25005714285 × 100 = 25.0057142857</em>
<em>Round - 25%</em>
<u><em>~lenvy~</em></u>
Answer:
-31
Step-by-step explanation:
(2×x) - (2×5) = (3×x) + (3×7)
2x-10 = 3x+21
2x-3x = 21+10
-x = 31
therefore, x = -31
Answer:
3:1
54:18
Step-by-step explanation:
You can divide both sides by 9 to get one ratio:
27/9:9/9
3:1
You can also multiply both sides by 2 to get another ratio:
27(2):9(2)
54:18
Here we might have to find p(v intersection w) and for that we use the following formula
p(v U w) = p(v)+p(w)-p(v intersection w)
And it is given that p(v) =01.3 , p(w) = 0.04 and p(v U w ) = 0.14 .
Substituting these values in the formula, we will get
0.14 = 0.13 +0.04 -p(v intersection w)
p(v intersection w) =0.13 +0.04 -0.14 = 0.03
So the required answer of the given question is 0.03 .