9514 1404 393
Answer:
y = -5x³
Step-by-step explanation:
The point of inflection of the parent cubic function f(x) = x³ is at the origin, the same place it is shown on the graph. So, there is no translation involved in creating the graph.
We know the parent function gives f(1) = 1, but here, we have (x, y) = (1, -5). This suggests a vertical scale factor of -5. So, the transformed function is ...
y = -5x³
Answer:
Step-by-step explanation:
The monthly plan costs starts at $29.95, so we're not changing that.
For each monthly plan, we have to pay a tax of $2.95, so we're not changing that.
If we go over 1,000 minutes, we have to pay $0.05 for every minute we go over, and with the fact that represents each minute over 1,000, we're going to have to represent minutes over 1,000 as in our equation.
Set up your equation:
Answer:
The length is 24, width is 6
Step-by-step explanation:
Since we know the length and width cannot both be 12 (to make 144), other factors of 12 can be tested to be a product of 144. Half of 12 is 6, and 24 * 6 = 144. If we add up 12 + 12 + 6 + 6, we get 60, or the given perimeter.
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Answer:
$ 637.17
Step-by-step explanation:
First, let's convert the interest per year (iy) to interest per month (im):
(1 + im)¹² = 1 + iy
(1 + im)¹² = 1 + 0.08
1 + im =
1 + im = 1.00643
im = 0.00643
im = 0.643%
The total amount (A) of an investment is:
Where R is the amount invested per month, and n the number of monthes. So:
10,000 = R*15.6943
R = $ 637.17
Answer:
0.000125x
Step-by-step explanation: