The function after the transformation has an equation of y = ∛(x - 7) + 5
<h3>How to determine the equation of the transformation?</h3>
The transformation statement is given as
"The cubic function shifts 7 units right and 5 units up."
A cubic function is represented as
y = ∛x
So, the transformations are:
- Shifts 7 units right
- Shift 5 units up
Mathematically, this can be represented as
(x, y) = (x - 7, y + 5)
So, we have the following equation
y = ∛(x - 7) + 5
Hence, the equation of the transformation is y = ∛(x - 7) + 5
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Answer:
D. 6 feet.
Step-by-step explanation:
The third longest side of ABCD is 12 feet long and the third longest side of EFGH is 18 feet long.
As they are similar the corresponding sides are in the same ratio so
12/18 = x/9 where x is the 4th side of ABCD.
2/3 = x/9
3x = 18
x = 6 feet.
The information's given in the question are of vital importance. These information's should be very useful while getting to the desired answer of the given question.Let us now concentrate on the problem that needs to be solved.
The height of the sign that casts a shadow of 4 meters is = 5 meters
Then
The height of the tree that casts a shadow of 30 meters = (5/4) * 30 meters
= 150/4 meters
= 37.5 meters
So the tree casting a shadow of 30 meters is actually 37.5 meters in height. I hope the procedure is simple enough for you to understand.
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Answer:
3.5?
Step-by-step explanation:
2,000 is 10% of 20,000
3.5 is 10% of 35