3x (4x^4-5x)
add all of the numbers with a x to get
12x^4
and 12x^4=
20736x
Answer:
negative
Step-by-step explanation:
b is a negative number because it is less than -1, so b/5 is a negative number because negative/positive = negative
Answer:
4.7 inches
Step-by-step explanation:
The original is 12.5, and it was shortened to 7.8. So take the original, subtract the result, and you will get the answer.
12.5-7.8=4.7
The flag pole flying the Ohio state flag would be 27 feet tall. you just take 30, divide it by 10 and then multiply it by 9.
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!!
