Answer:
f(g(x)) = (5x)^2 = 25x^2
Step-by-step explanation:
If f(x) = x^2 and g(x) = 5x, then
f(g(x)) = (5x)^2 = 25x^2
Let x gallons be the amount of pure antifreeze that should be added to the 30% solution to produce a solution that is 65% antifreeze. Then the total amount of antifreeze solution will be x+3 gallons.
There are 30% of pure antifreeze in 3 gallons of solution, then
3 gallons - 100%,
a gallons - 30%,
where a gallons is the amount of pure antifreeze in given solution.
Mathematically,

Now in new solution there will be x+0.9 gallons of pure antefreeze.
x+3 gallons - 100%,
x+0.9 - 65%
or

Answer: he should add 3 gallons of pure antifreeze.
Answer:

Step-by-step explanation:
I ain't sure but it might help you out:D
In the
direction we consider the
subintervals [0, 1] and [1, 2] (each with length 1), while in the
direction we consider the
subintervals [0, 2] and [2, 4] (with length 2). Then the lower right corners of the cells in the partition of
are (1, 0), (2, 0), (1, 2), (2, 2).
Let
. The volume of the solid is approximately

###
More generally, the lower-right-corner Riemann sum over
and
subintervals would be

Then taking the limits as
and
leaves us with an exact volume of
.
Answer:
a) -0.5 • 1.7 - 0.5 • 1.7
Step-by-step explanation:
I knew this answer. It is in distributive property.