Answer:
43.5
Step-by-step explanation:
Set it up like 3x-5+x+1=180. Combine the variables and the numbers without a letter next to it. 4x+6=180. Subtract 6 from 180. Divide that number by 4.
Answer:
90 is your answer
Step-by-step explanation:
first I just added all similar numbers together, then I added the answers of all the similar numbers together one-by-one, finally we find our answer, 90
(2x) + 11 < 44
x is multiplied by two because we are looking for twice of x. 11 is added to the 2x because we are looking for eleven more than the sum of twice of x. Since 2x + 11 is less than 44, we use the lesser than ( < ) symbol.
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
(4,3)(2,2)
slope = (2 - 3) / (2 - 4) = -1/-2 = 1/2
y = mx + b
slope(m) = 1/2
use either of ur sets of points...(4,3)...x = 4 and y = 3
now we sub and find b, the y int
3 = 1/2(4) + b
3 = 2 + b
3 - 2 = b
1 = b
so ur equation is : y = 1/2x + 1 <==
