Note that -5 = x, plug in -5 for x
g(x) = x + 3
g(-5) = (-5) + 3
Simplify
g(-5) = -5 + 3
g(-5) = -2
g(-5) = -2 is your answer
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Answer:
s = 14
Step-by-step explanation:
Step 1: Combine like terms.
Step 2: Multiply both sides by 2/3.
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First, you need to find the derivative of this function. This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.
f'(x)=3x^2-3
Now, set this function equal to 0 to find x-values of the relative max and min.
0=3x^2-3
0=3(x^2-1)
0=3(x+1)(x-1)
x=-1, 1
To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each. We will use -2, 0, 2.
f'(-2)=3(-2)^2-3=3(4)-3=12-3=9
f'(0)=3(0)^2-3=3(0)-3=0-3=-3
f'(2)=3(2)^2=3(4)-3=12-3=9
We examine the sign changes to determine whether it is a max or a min. If the sign goes from + to -, then it is a maximum. If it goes from - to +, it is a minimum. Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.
To determine the values of the relative max and min, plug in the x-values to f(x).
f(-1)=(-1)^3-3(-1)+1=-1+3+1=3
f(1)=(1)^3-3(1)+1=1-3+1=-1
Hope this helps!!
The <u><em>correct answer</em></u> is:
d) People per hour, because the dependent quantity is the people
Explanation:
In this situation, the two quantities are people and hours. These are the two things in this problem we can count or measure.
The independent variable is the one that causes a change, while the dependent variable is the one that <em>gets</em> changed. In this situation, the number of people change every hour; this means the number of people <em>gets</em> changed, which makes it the dependent variable. This means that the independent variable must be time.
Since people is dependent and time is independent, "people per hour" would be the best form of this statement.
