To determine the system of inequality that has been graphed, we need to be very smart.
Observe that all the equations are the same.
Also note that all the lines are solid. This should tell you that the inequities should involve.
Therefore the answer is between option A and B.
So we choose a point in the solution region to discriminate between A and B.
Let us choose the origin since that is easy to evaluate.
We substitute into option A to get.
The above statements are false
We now substitute into option B
Both statements are true, therefore the correct answer is option B.
Answer:
(9/2)√x.
Step-by-step explanation:
Convert the radical to an exponent.
x√x = x^1 * x^1/2
= x^(1 + 1/2)
= x^3/2
So the derivative of 3x^3/2 is found as follows:
y' = 3 * 3/2x^(3/2 - 1)
= (9/2)x^1/2
= (9/2)√x.
Answer:
A function s is the HORIZONTAL SHRINK of a function h by a factor k
if s(x) = h(kx)
It is called a shrink, because for k > 1 that has the effect of compressing
the function h towards the y-axis.
I find the problem statement a little confusing because
using k = 1/6 would result in stretching, not shrinking.
Therefore my guess is that the author means k = 6.
A function r is a REFLECTION of a function h in the x-axis
if r(x) = -h(x).
The reason is that r looks like a mirror image of h,
where the mirror is the x-axis
A function t is a TRANSLATION 2 units down of a function h
if t(x) = h(x) - 2.
The graph of t looks like h, except shifted down 2 units.
Applying the definitions to your function f:
g(x) = -f(6x) - 2 = -36x^2 - 2
When we do this, the base of the parallelogram has length b 1 + b 2, and the height is the same as the trapezoids, so the area of the parallelogram is (b 1 + b 2)*h. Since the two trapezoids of the same size created this parallelogram, the area of one of those trapezoids is one half the area of the parallelogram
