7 × (-3) ×(-2)2 =
7 × -3 × -4 = (you have to eliminate all parenthesis in the equation.)
7 × -12 = -84
so your answer would be: C
Answer:
(0, -3)
Step-by-step explanation:
The solution to the system of equations is the point at which they intersect. The problem statement tells you that point is (x, y) = (0, -3).
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Often, for a system defined using functional notation, we don't care about the value of the function. We only care about the value of x where the functions have the same value. That is ...
the solution to f(x) = g(x) is x = 0.
A = 1.5
B = -1/3
C = -4/3
A is a positive so there is only one possibility
B is in between 0 and -1, so it has to be -1/3
C is below -1 and so its the improper fraction
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
48000=55210(1-0.0109)^t
Solve for t
t=12.77 =13 years
2010+13=2023
So the answer is c
