Here, we are missing the slope and the y intercept.
Lets look for the y intercept first.
Where does it cross the y axis? At 3!!
3 is the y intercept.
Now, find the slope by using the slope formula.
(0,3) and (2,1)
m = 1-3/2-0 = -2/2 = -2/2 = -1
m = -1
Okay, so we found our slope, now just write the equation.
Answer: y = -1x + 3
Answer:
Step-by-step explanation:
Formula
h = k/temp
Givens
h = 4 hours
t = 45 degrees
Solution
3 = k / 45 Multiply both sides by 45
3*45 = k
k = 135
Problem
what happens when h = 4 hours?
h = 4
k = 135
temp = ?
4 = 135 / temp Multiply both sides by temp
4temp = 135 Divide by 4
temp = 135 / 4
temp = 33.75
Note that as the time went up, the temperature came down
44,000 *10
440,000
when multiplying by ten, add one more zero to the end of the number
we have a maximum at t = 0, where the maximum is y = 30.
We have a minimum at t = -1 and t = 1, where the minimum is y = 20.
<h3>
How to find the maximums and minimums?</h3>
These are given by the zeros of the first derivation.
In this case, the function is:
w(t) = 10t^4 - 20t^2 + 30.
The first derivation is:
w'(t) = 4*10t^3 - 2*20t
w'(t) = 40t^3 - 40t
The zeros are:
0 = 40t^3 - 40t
We can rewrite this as:
0 = t*(40t^2 - 40)
So one zero is at t = 0, the other two are given by:
0 = 40t^2 - 40
40/40 = t^2
±√1 = ±1 = t
So we have 3 roots:
t = -1, 0, 1
We can just evaluate the function in these 3 values to see which ones are maximums and minimums.
w(-1) = 10*(-1)^4 - 20*(-1)^2 + 30 = 10 - 20 + 30 = 20
w(0) = 10*0^4 - 20*0^2 + 30 = 30
w(1) = 10*(1)^4 - 20*(1)^2 + 30 = 20
So we have a maximum at x = 0, where the maximum is y = 30.
We have a minimum at x = -1 and x = 1, where the minimum is y = 20.
If you want to learn more about maximization, you can read:
brainly.com/question/19819849
