Which graph shows the solution to the system of linear inequalities?
1 answer:
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Answer:
The height of a bouncing ball is defined by .
Step-by-step explanation:
According to this statement, we need to derive the expression of the height of a bouncing ball, that is, a function of the number of bounces. The exponential expression of the bouncing ball is of the form:
,
,
(1)
Where:
- Height reached by the ball on the first bounce, measured in feet.
- Decrease rate, no unit.
- Number of bounces, no unit.
- Height reached by the ball on the n-th bounce, measured in feet.
The decrease rate is the ratio between heights of two consecutive bounces, that is:
(2)
Where is the height reached by the ball on the second bounce, measured in feet.
If we know that and
, then the expression for the height of the bouncing ball is:
The height of a bouncing ball is defined by .
Answer:
9 yards
Step-by-step explanation:
Since both pools are similar, therefore the ratio of their length and width would be equal. That is:
Length of the current swimming pool : length of the new swimming pool = width of the current swimming pool : width of the new swimming pool
Thus, we can set up a proportion as shown below:
Let the width of the new swimming pool be x.
40 : 24 = 15 : x
Cross multiply
Divide both sides by 40
The width of the new swimming that is smaller would be 9 yards.