To get the extrema, derive the function.
You get y' = 2x^-1/3 - 2.
Set this equal to zero, and you get x=0 as the location of a critical point.
Since you are on a closed interval [-1, 1], those points can also have an extrema.
Your min is right, but the max isn't at (1,1). At x=-1, you get y=5 (y = 3(-1)^2/3 -2(-1); (-1)^2/3 = 1, not -1).
Thus, the maximum is at (-1, 5).
Answer:
Step-by-step explanation:
Let
x----> the temperature in degrees Fahrenheit
y ---->insect chirping rate in times per minute
we have the ordered pairs
(82,61) and (91,124)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line
we know that
The equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept
we have
---> the units are chirps per minute/degree F
take the point (82,61)
substitute and solve for b
substitute
C = total cents
C = 30 + n
I think that's it. Hope it helps you.
Answer:
$367.50 and y=0.3x+300
30% of 225 is 67.50 and her guaranteed salary is 300 so 300+67.50=$367.50.
Using a system of equations, it is found that a value of h = 4 will result in an infinite number of solutions.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
If two equations are equal, the system has infinite solutions.
In this problem, the equations are:
4x - 16 = h(x - 4).
Then:
4(x - 4) = h(x - 4).
h = 4.
More can be learned about a system of equations at brainly.com/question/24342899
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