Answer:
<h3>explicit formula- a(n)=6+4(n-1)</h3><h3>recursive formula- a(n)=a(n)-1 +4; a(1)=6</h3>
Step-by-step explanation:
Answer:
a. 3/4 inches per minute
b. -1 1/8 inches per minute
c. B is fastest; 1 1/8 is more than 3/4
Step-by-step explanation:
A <em>change</em> is a <em>difference</em>. A <em>rate of change</em> is <em>one difference divided by another</em>, usually the change in y-value divided by the change in x-value.
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<h3>a.</h3>
The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).
change in elevation per minute = (6 -3 inches)/(8 -4 min)
= (3 inches)/(4 min) = 3/4 inches/minute
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<h3>b.</h3>
Similarly, ...
change in elevation per minute = (3 -7 1/2 inches)/(18 -14 min)
= (-4 1/2 inches)/(4 min) = -1 1/8 inches/minute
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<h3>c.</h3>
We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.
The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.
Answer:
Step-by-step explanation:
y = mx + b
The line y = 3 is a horizontal line with slope zero
y = 0x + 3
All parallel lines will also have a slope zero
a parallel line passing through (-2, 7) will have the equation
y = 0x + 7
y = 7
Answer:
Reflection over the x-axis
Step-by-step explanation:
To get from Triangle A to Triangle B, Triangle A must be reflected over the x-axis. On Triangle A, the left-most point is at (1, -2). The corresponding point on Triangle B is at (1, 2). The rule for reflecting over the x-axis is (x, y) -> (x, -y). So, (1, -2) -> (1, 2).
I hope this helps :))
yesss your answer is good
