Tan 37,4 = opposite/adjacent
tan 37,4 = x/12,8
• then multiply both sides by 12,8
12,8tan 37,4 = x
Therefore x = 9, 79 x 100
= 97, 86
= 100
( I guess that’s how you can round it to the nearest hundred, please correct me if I’m wrong)
Second one:
The average rate of change of the function f( x ) = x² + 7x + 6 at the interval of −4 ≤ x ≤ −1 is 2
<h3>What is the average rate of change the function?</h3>
The average rate of change the function is simply the change in y-values of the two points divided by the change in x-values of the two points.
It is expressed as;
Given the data in the question;
- f( x ) = x² + 7x + 6
- Interval: −4 ≤ x ≤ −1 ⇒ [-4.-1]
Average rate of change = ( f(-1) - f(-4) ) / ( (-1) - (-4) )
Average rate of change = ( (-1)² + 7(-1) + 6 ) - ( (-4)² + 7(-4) + 6 ) ) / ( (-1) - (-4) )
Average rate of change = ( (1 + -7 + 6 ) - ( 16 - 28 + 6 ) ) / (-1 + 4 )
Average rate of change = ( ( 0 ) - ( -6 ) ) / (-1 + 4 )
Average rate of change = ( 0 + 6 ) / ( 3 )
Average rate of change = 6 / 3
Average rate of change = 2
Therefore, the average rate of change of the function is 2.
Learn more about average rate of change here: brainly.com/question/28744270
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Answer:
x = -50/9
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
3x - 8 - 12x = 42
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: -9x - 8 = 42
- Isolate <em>x</em> term: -9x = 50
- Isolate <em>x</em>: x = -50/9
Reduce fractions to their most simple form
12/14 you can divide both up and bottom by 2
12/14→6/7
24/28, both up and bottom can be divided by 4
24/28→6/7
6/7=6/7=6/7
Answer:
neither exponential nor linear
Step-by-step explanation:
A linear relationship will show a common difference between adjacent value. Here, the first differences between the first three values are 5 and 33. They are not the same, so the relation is not linear.
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An exponential relationship will show first differences that are continuously increasing or decreasing by increasing or decreasing amounts (respectively).
As we showed, the difference between May 28 and May 27 is 33. This is more than the previous difference. However, the difference between May 30 and May 31 is only 28, which is less than a previous difference.
The relation is not exponential.
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A graph points up the non-linearity of the relation.
