Answer:
domain: x>3/5
Step-by-step explanation:
First we need to derive our function g(x) to get a new function g'(x)
To do this we will have to apply chain rule because we have an inner and outer functions.
Our G(x) = square root(3-5x)
Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)
where d/dx(g(f(x)) = g'(x)
g(x) is the outer function which is x^1/2
f(x) is our inner function which is 3-5x
therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5
g'(f(x)) = -1/2(3-5x)^(-1/2)
Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)
But the domain is the values of x where the function g'(x) is not defined
In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined
which gives us x >3/5
The answer to your question is A. Y= -4x-9 because is you look at the pre written equation it shows that 4x is negative and that 9 is negative too. Also, if you rewrite an equation you have to isolate Y. Therefore A is the correct answer
Answer:
a) 4410
b) 4189.5
Step-by-step explanation:
To find the volume of the pool, multiply the length, width, and depth:
21*35*6=4410ft^3
95% capacity would be equal to 0.95*4410=4189.5ft^3
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Answer:
There are a few possible answers so read explanation, but the one I will put up here is:
20.83
Step-by-step explanation:
First you have to find how much 100 cups of coffee costs in store.
To do this you will multiply 2.50 by 100 and get 250. So now we know 100 cups of coffee in store costs $250 whereas 100 cups at home is $12.
To find how many times greater the price in store is compared to the at home brew, you have to divide 250 by 12 and get 20.8333333....
We don't stop there though, because it asks us to approximate. I am not sure what it would like us to round to, but here are some possible approximations:
- 20.83
- 20.8
- 21
Any of those re reasonable approximations, you choose whichever you think the question wants, or whatever your teacher asks for.
Hope this helps
