to find the inverse of the function exchange x and y and then solve for y
y = 5 / sqrt (x)
x = 5 / sqrt(y)
multiply by the sqrt(y)
x * sqrt(y) = 5
divide by x
sqrt(y) = 5/x
square both sides
y = (5/x) ^2
y = 25/x^2
The inverse of 5 / sqrt (x) is 25/x^2
Answer:
Step-by-step explanation:
<, > - open circle
≤, ≥ - closed circle
<, ≤ - draw the line to the left
>, ≥ - draw the line to the right
The value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.
<h3>What is mean value theorem?</h3>
Mean value theorem is the theorem which is used to find the behavior of a function.
The function given as,
The value of function at 0,
Differentiate the given equation,
If the constant c between 1 and 9 such that the average value of the function f(x) on the interval (1,9], then,
Using Lagrange's mean value theorem,
Thus, the value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.
Learn more about the mean value theorem here;
brainly.com/question/15115079
#SPJ1
The cost the company is getting for moving about the sugar is, first off the rental of the trucks, the rental company is charging a "service fee" of 2500.
Now, that's a fixed unit, like when a cable company charges you for a cable setup fee, a quick fee just to get things rolling, usually for paperwork and other processing needed to get the client account going.
then they decided to charge not for mileage but for tonnage, so, the charge is 100 bucks for each ton of sugar moved by the rented trucks.
so, if the trucks move "x" tons of sugar, then the charge is 100 * x, or 100x.
so the cost C is the fixed processing fee of 2500, plus the tonnage charge, of 100x.
C(s) = 2500 + 100x.
now, is a linear equation, so, to graph a line, all you need is two points, pick any random tonnage, say hmm "x = 2" and say you get a C(x) of 2500 + 100(2) which is 2700
since "x" is the independent variable, use the well, you guessed it, the x-axis for it, and C(x) will use the y-axis, pick another random "x" ton value to get a C(x), and graph it away.
Answer:
15 feet per minute.
Step-by-step explanation:
- speed = distance ÷ time
- speed = 450 feet ÷ 30 minutes
- 15 feet per minute = 450 feet ÷ 30 minutes