Which number(s) below belong to the solution set of the inequality? Check all that apply.
2 answers:
Answer:
(B) and (D)
Step-by-step explanation:
The given set of inequality is :
(A) Put x=84 in the given set of inequality, we have
which is not possible, therefore this option is not correct.
(B) Put x=16 in the given set of inequality, we have
which is possible, thus this option is correct.
(C) Put x=50 in the given set of inequality, we have
which is not possible, therefore this option is not correct.
(D) Put x=39 in the given set of inequality, we have
which is possible, thus this option is correct.
(E) Put x=41 in the given set of inequality, we have
which is not possible, therefore this option is not correct.
(F) Put x=40 in the given set of inequality, we have
which is not possible, therefore this option is not correct.
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Answer:
max{x²-4x²+5} = 5 at x = 0
Step-by-step explanation:
1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.
We get:
So the critical number is x = 0.
2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:
is positive when the x < 0 (for example: -6*(-1)=+)
is negative when the x > 0 (for example: -6*(1)=-)
Therefore, you have a local maximum.
Now just get the Y value by plugging in the critical number in the original function.
local maximum is (0,5)