Answer and Step-by-step explanation:
Distribute the 6mn to the 2m and -3n
The answer is:
![(12m^{2} n ) - 18mn^{2}](https://tex.z-dn.net/?f=%2812m%5E%7B2%7D%20n%20%29%20-%2018mn%5E%7B2%7D)
#teamtrees #WAP (Water And Plant)
The appropriate response is letter B. The connection is no doubt a causation is the positive relationship between's the quantity of trucks that drive on a street and the measure of support the street needs
I hope the answer will help you.
Answer:
![f(x) = 2[\frac{3^x}{9}] + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5B%5Cfrac%7B3%5Ex%7D%7B9%7D%5D%20%2B%202)
![f(x) = 8(4)^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%208%284%29%5Ex)
Step-by-step explanation:
Given
![f(x) = 2(3)^{x-2} + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%283%29%5E%7Bx-2%7D%20%2B%202)
![f(x) = \frac{1}{2}(4)^{x+2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%284%29%5E%7Bx%2B2%7D)
Required
Remove the h component
In a function, the h component is highlighted as:
![f(x) = a^{x+h}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%5E%7Bx%2Bh%7D)
So, we have:
![f(x) = 2(3)^{x-2} + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%283%29%5E%7Bx-2%7D%20%2B%202)
Split the exponents using the following law of indices:
![a^m/a^n = a^{m-n}](https://tex.z-dn.net/?f=a%5Em%2Fa%5En%20%3D%20a%5E%7Bm-n%7D)
![f(x) = 2*\frac{3^x}{3^2} + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%2A%5Cfrac%7B3%5Ex%7D%7B3%5E2%7D%20%2B%202)
![f(x) = 2*\frac{3^x}{9} + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%2A%5Cfrac%7B3%5Ex%7D%7B9%7D%20%2B%202)
![f(x) = 2[\frac{3^x}{9}] + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5B%5Cfrac%7B3%5Ex%7D%7B9%7D%5D%20%2B%202)
<em>The h component has been removed</em>
![f(x) = \frac{1}{2}(4)^{x+2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%284%29%5E%7Bx%2B2%7D)
Split the exponent using the following law of indices
![a^{m+n} =a^m * a^n](https://tex.z-dn.net/?f=a%5E%7Bm%2Bn%7D%20%3Da%5Em%20%2A%20a%5En)
So, we have:
![f(x) = \frac{1}{2}(4)^x * 4^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%284%29%5Ex%20%2A%204%5E2)
Express 4^2 as 16
![f(x) = \frac{1}{2}(4)^x * 16](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%284%29%5Ex%20%2A%2016)
Divide 16 by 2
![f(x) = 8(4)^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%208%284%29%5Ex)
Answer:
The answer are B and C
Step-by-step explanation:
-5² + 50 = 25
|2 x 5| = 10
Answer:
The total of the sales price and sales tax is $ 588.35 .
Step-by-step explanation:
As given
$543.51 be the subtotal .
8.25% is the sales tax .
8.25% is written in the decimal form.
![= \frac{8.25}{100}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B8.25%7D%7B100%7D)
= 0.0825
Sales tax price = 0.0825 × 543.51
= $ 44.84 (Approx)
Total of sales price with sales tax = Sale price + Sales tax price
Putting the values in the above
= $543.51 + $44.84
= $ 588.35
Therefore the total of the sales price and sales tax is $ 588.35 .