Answer:
<u>3</u> * <u>3</u>
4 1
Step-by-step explanation:
To convert division problems with fraction into multiplication problems use the KCF rule
- Keep the 1st Fraction the same
- Change the division sign to a multiplication sign
- Flip the fraction (reciprocal)
Answer:
A, D, E
Step-by-step explanation:
Time is a function of temperature because there are no points where the x-value has more than one y-value.
There are two points where the temperature reaches 74 degrees.
Between 5 and 9 the temperature did not change.
Answer:
x = 3.5
Step-by-step explanation:
15(1/2) = 7.5
7.5+6 =13.5
subtract 17 and divide by -1 to isolate x 13.5-17/-1
x = 3.5
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!!
