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
If you would like to solve 1/4 * 4/7, you can do this using the following steps:
<span>1/4 * 4/7 = (1 * 4) / (4 * 7) = 4/28 = 1/7
</span>
The correct result would be 1/7.
We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.
Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of 
and 
Finally, we can use the Pythagorean Theorem to find the length of 
:
I would say answer chose C
Answer:
Hi
Step-by-step explanation:
