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.
I believe it’s 24, sorry if i’m wrong.
(3x + 2) < -7 or (3x + 2 >7
Explanation/Step by step:
We have| |3x +2| >7
We divide the absolute value inequality into two inequalities
First Inequality (Which is Positive Value)
(3x + 2) >7
Second inequality (Which is the Negative Value)
-(3x + 2) >7
Then you Multiply by- 1 both sides
~And Remember that when you multiply or divide both sides of an inequality by a negative number you must reverse the inequality Symbol.~
So which that be said it would look like this:
(3x +2) < -7
So therefore (3x + 2) < -7 or (3x + 2) >7
Hope this makes since to you!!
I hope this helps as well..
Answer:
2 : 1
12 : 6
30 : 15
Step-by-step explanation:
Look at the ratios one by one. Starting with 6 : 3, we can see that it's of the form 2a : a.
2 : 1
12 : 6
30 : 15
These are all equivalent.
