Answer:
f(x) = - 8
Explanation:
The given function is
f(x) =2x^2 -4x -6
The first step is to find the derivative of the function. Recall, if
y = ax^b
y' = abx^(b - 1)
Thus,
f'(x) = 4x - 4
We would equate f'(x) to zero and solve for x. We have
4x - 4 = 0
4x = 4
x = 4/4
x = 1
We would substitute x = 1 into the original function and solve for f(x) or y. It becomes
f(1) =2(1)^2 -4(1) - 6 = 2 - 4 - 6
f(1) = - 8
Thus, the minimum value is f(x) = - 8
A scale factor of 1.25, also written as 1 1/4 should be used
Answer:
Step-by-step explanation:
The equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have an equation:
y –12 = –3(x – 1)
We can write the above equation as follows:
y = 12 - 3(x - 1)
y = 12 - 3x + 3
y = -3x + 15
or
f(x) = -3x + 15
Plug x = 0
f(0) = 15
The tub started with 15 gallons of water.
Thus, the equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.
Learn more about the function here:
brainly.com/question/5245372
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3 tens= 30
10 ones= 10
30+10=40