Answer:
The minimum value of f(x) is 2
Step-by-step explanation:
- To find the minimum value of the function f(x), you should find the value of x which has the minimum value of y, so we will use the differentiation to find it
- Differentiate f(x) with respect to x and equate it by 0 to find x, then substitute the value of x in f(x) to find the minimum value of f(x)
∵ f(x) = 2x² - 4x + 4
→ Find f'(x)
∵ f'(x) = 2(2)
- 4(1)
+ 0
∴ f'(x) = 4x - 4
→ Equate f'(x) by 0
∵ f'(x) = 0
∴ 4x - 4 = 0
→ Add 4 to both sides
∵ 4x - 4 + 4 = 0 + 4
∴ 4x = 4
→ Divide both sides by 4
∴ x = 1
→ The minimum value is f(1)
∵ f(1) = 2(1)² - 4(1) + 4
∴ f(1) = 2 - 4 + 4
∴ f(1) = 2
∴ The minimum value of f(x) is 2
You can use the distance formula:
d=sqroot(x2-x1)squared + (y2-y1)squared.
Plug in values: d=sqroot(8-(-6))squared + (2-2)squared
Simplify: d=sqroot(196)+0
Simplify:d=sqroot(196
Square Root: d=14 units
Step-by-step explanation:


You will need to find how much he got on July so you will need to multiply 1.10 and 31.
1.10 time 31 is 34.1
Then subtract 55-34.1=20.9
Answer:20.9
Answer: The answer is 40 minutes.
Equation: If m is the total number of minutes it takes him to complete his homework, 30% of m is given by 0.3m. Since 30% was done in 12 minutes, we have 0.3m=12.