X and y represent the two students.
Teacher wants to spend at least $5 in each of x and y. That means x or y could be either equal to 5 or higher than 5.
x ≥ 5
y ≥ 5
Teacher only spends under $30. That means the sum of x and y couldn't be equal to higher than 30. It should be lower than 30.
x + y < 30
The correct answer is option D
This is an arithmetic series with common difference 6
S13 = (13/2)[2*-5 + (13-1)*6)] = 403
Answer:
f^-1(x) = 9(x+2)
Step-by-step explanation:
To find the inverse function, exchange x and y and then solve for y
y = 1/9 x -2
Exchange x and y
x = 1/9 y-2
Solve for y
Add 2 to each side
x+2 = 1/9 y-2+2
x+2 = 1/9y
Multiply each side by 9
9(x+2) = 9*1/9y
9(x+2) = y
The inverse function
f^-1(x) = 9(x+2)
Try to get the fractions with same denominators. Use the LCD system to find equal factors to a common denominator. Then just simply compare it.
*Note: Larger fraction is the greater numerator.*
Hoped this helped.
~Bob Ross®
Using it's concept, the average rate of change of the function over the interval 10 < x < 22 is given by:
<h3>What is the average rate of change of a function over an interval?</h3>
It is given by the change in the <u>output divided by the change in input</u>.
Over the interval 10 < x < 22, the outputs are f(10) and f(22), hence the rate of change is given by:
More can be learned about the average rate of change of a function at brainly.com/question/24313700
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