if you run for 4 hours at 8miles an hour and walk 8 hours at 2 miles an hour, how far will you you have gone at the end of 12 ho
2 answers:
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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 .
The value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.
<h3>What is a linear equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two linear equations:
y = 6x - b ..(1)
..(2)
From the second equation:
-6x + y = -6
After rearranging:
y = 6x - 6 ..(3)
On comparing equation (1) and (3)
b = 6
Thus, the value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.
Learn more about the linear equation here:
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