Answer:
Step-by-step explanation:
A direct variation equation has the following format:
Where k is a constant.
We know that y is 12 when x is -2. Thus, substitute:
Divide both sides by -2:
So, our direct variation equations is:
To find what x is when y equals -6, substitute in -6 for y:
Divide both sides by -6:
So, our answer is 1 :)
Answer:
7
Step-by-step explanation:
The average rate of change of f(x) in the close interval [ a, b ] is
Here [ a, b ] = [2, 5 ]
f(b) = f(5) = 2(5)² - 7(5) = 50 - 35 = 15
f(a) = f(2) = 2(2)² - 7(2) = 8 - 14 = - 6, thus
average rate of change = 
= 
= 7
Using translation concepts, we have that:
- The new profit equation is f(x) = (8s/3) - 20, which is a vertical stretch by a factor of 2 of the graph of f(s).
- Selling 300 shirts, the new profit is of $780.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the profit function is given by:
f(s) = 4/3s - 20
To double the function, we multiply the slope by 2, hence the new profit equation is:
f(s) = 8/3s - 20.
This new function is a vertical stretch by a factor of 2 of the graph of f(s).
The new profit selling 300 shirts is given by:
f(300) = (8/3) x 300 - 20 = 8 x 100 - 20 = $780.
More can be learned about translation concepts at brainly.com/question/28373831
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Answer- 205 r13
Work: 9853/48, 205 13/48
The only value for x to make tanx = 0 is either 0 or 180 or 0 or pi.
