Graph of f(x-3) is compressed by a factor of horizontally of f(x).
<u>Step-by-step explanation:</u>
We have, the graph of f(x)= , on replacing f(x) by f(x-3) we get:
= .Below shown are the images for graph of f(x) and f(x-3). Both are functions are exponential , and so having exponential graph but f(x-3) is compressed by a factor of horizontally . Domain and range of both functions are same i.e. F(x) & f(x-3) domain & range are same , just difference in graph : .
It is a good thing to remember. Of course, not all, but some basic numbers that appear all the time such as the numbers from 2 to 13 should be remembered as they appear in numerous assignments and tests.
Answer:
4 inches should be turned up on both sides.
Step-by-step explanation:
In order to find this, create a situation in which we give the amount turned up on each side as x. Then give the amount that isn't turned up as 16 - 2x (since 2x is the amount turned up). Now we can find the area by multiplying the 3 measurements.
100 * x * (16 - 2x) = MAX
100 * (16x - 2x^2) = MAX
-200x^2 + 1600x = MAX
Now that we have a quadratic function, we can find the maximum value of x by using the vertex formula for x values (-b/2a).
x = -b/2a
x = -1600/2(-200)
x = -1600/-400
x = 4
Answer:
The ratio of the number of rotten apples to the total number of apples is 6:35
The ratio of the number of good apples to the number of rotten apples is 35:6
Step-by-step explanation:
If you look at the wording the orders are switched.
Rotten apples: Good apples
Good apples: Rotten apples