A=1/2(b+b)•h
A=1/2(18+24)•8
A=1/2(42)•8
A=21•8
A=168ftsq
Given:
The function f represents the diver's distance from sea level over time, in seconds.
![f(x)=\begin{cases}3x+1 & \text{ if } -9](https://tex.z-dn.net/?f=f%28x%29%3D%5Cbegin%7Bcases%7D3x%2B1%20%26%20%5Ctext%7B%20if%20%7D%20-9%3Cx%5Cleq%20-2%20%5C%5C%20-5%20%26%20%5Ctext%7B%20if%20%7D%20-2%3Cx%5Cleq%201%20%5C%5C%20x-6%20%26%20%5Ctext%7B%20if%20%7D%201%3Cx%3C7%20%5Cend%7Bcases%7D)
To find:
The correct statement for the domain.
Solution:
Domain is the set of input values for which the function is defined.
Here, x values are the input values and they represent time intervals on which the function is defined
Here, the possible intervals for x are
.
![Domain=(-9,-2]\cup (-2,1]\cup (1,7)](https://tex.z-dn.net/?f=Domain%3D%28-9%2C-2%5D%5Ccup%20%28-2%2C1%5D%5Ccup%20%281%2C7%29)
![Domain=(-9,7)](https://tex.z-dn.net/?f=Domain%3D%28-9%2C7%29)
Therefore, the domain is the time interval (−9, 7). Hence the correct option is A.
Y = 3.50x
245 = 3.50x
x = 245/3.5
x = 70 coffee mugs
315 = 3.50x
x = 315/3.5
x = 90 coffee mugs
Ronny needs to sell 90 coffee mugs to reach his sales goal. However, he already sold 70 coffee mugs, so he needs to sell an additional 20 coffee mugs to reach 90 coffee mugs and reach his $315 sales goal.
Answer:
The Proof for
is below.
Step-by-step explanation:
To Prove:
![5^{7}+5^{6}\ is\ divisible\ by\ 6](https://tex.z-dn.net/?f=5%5E%7B7%7D%2B5%5E%7B6%7D%5C%20is%5C%20divisible%5C%20by%5C%206)
Proof:
We know law of indices
![a^{m}.a^{n}=a^{m+n}](https://tex.z-dn.net/?f=a%5E%7Bm%7D.a%5E%7Bn%7D%3Da%5E%7Bm%2Bn%7D)
Therefore,
Step 1: Applying law of indices
![\dfrac{5^{7}+5^{6}}{6}=\dfrac{5^{6}.5^{1}+5^{6}}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%5E%7B7%7D%2B5%5E%7B6%7D%7D%7B6%7D%3D%5Cdfrac%7B5%5E%7B6%7D.5%5E%7B1%7D%2B5%5E%7B6%7D%7D%7B6%7D)
Step 2: Taking common
we get
![\dfrac{5^{7}+5^{6}}{6}=5^{6}\times (\dfrac{5^{1}+1}{6})](https://tex.z-dn.net/?f=%5Cdfrac%7B5%5E%7B7%7D%2B5%5E%7B6%7D%7D%7B6%7D%3D5%5E%7B6%7D%5Ctimes%20%28%5Cdfrac%7B5%5E%7B1%7D%2B1%7D%7B6%7D%29)
Step 3:
so add 5 + 1 we get
![\dfrac{5^{7}+5^{6}}{6}=5^{6}\times \dfrac{6}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%5E%7B7%7D%2B5%5E%7B6%7D%7D%7B6%7D%3D5%5E%7B6%7D%5Ctimes%20%5Cdfrac%7B6%7D%7B6%7D)
Step 4: Cancel 6 from both denominator and numerator we get
...That is Divisible by 6 Proved
Answer:
22
Step-by-step explanation:
by +4