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
Answer:
c. infinitely many solution
Answer:
An observational study
Explanation:
observational studies are those a study where the researcher observes the effect of a defy factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it. Cohort study and control studies are of two observational studies. These are the part of fundamental of epidemiological research. These are called observational studies because the investigators observe individuals without manipulation and intervention. These studies are an important category of study design. Well, design observational studies maybe the next best method to address these types of questions.
#13
Letter D
We don't know if 5 = 6 or
6 = 8
#14
You need slope and y- intercept. It is a negative slope because the line is going down from left to right. Count rise over run.
M = - 4/6 = -2/3
If the line continued to the y axis it would cross at 10.
y = -2/3x + 10
I think it’s 36, Are there options??
