Answer:
x = - 
Step-by-step explanation:
Multiply through by 4 to clear the fraction
15 - 28x = 36 ( subtract 15 from both sides )
- 28x = 21 ( divide both sides by - 28 )
x =
= - 
Answer:
The average radius of sun is approximately 9.95 times the average radius of Jupiter.
Step-by-step explanation:
We are given the following in the question:
Average radius of Jupiter =

Average radius of the sun =

Relation between average radius of sun and average radius of Jupiter =

Thus, the average radius of sun is approximately 9.95 times the average radius of Jupiter.
Answer:
Step-by-step explanation:
That's B: the surface area.
The volume of the sphere is V = (4/3)πr³; A = 4πr² happens to be the derivative of V with respect to r.
Answer: The volume of largest rectangular box is 4.5 units.
Step-by-step explanation:
Since we have given that
Volume = 
with subject to 
So, let 
So, Volume becomes,

Partially derivative wrt x and y we get that

By solving these two equations, we get that

So, 
So, Volume of largest rectangular box would be

Hence, the volume of largest rectangular box is 4.5 units.
Answer:
I guess that you want to know the transformations:
We start with:
f(x) = y = 4*x + 3
a)the transformed function is:
f(x) = y = -4*x - 3
So the sign changed.
This means that we go from (x, y) to (x, - y)
This is a reflection over the x-axis which changes the sin of the y component.
b) Now we go to f(x) = 4*x + 3
So the coefficient in the leading term changed.
This is a horizontal contraction:
A horizontal contraction of factor K for the function g(x) is: g(K*x)
In our case, we have:
f(K*x) = 4*(k*x) + 3 = x + 3
4*k*x = x
4*k = 1
k = 1/4
Then the transformation is an horizontal contraction of scale factor 1/4.