What is the surface area of the square pyramid represented by the net?
1 answer:
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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:
This is a percent INCREASE
The percent change is 83.33%
Step-by-step explanation:
Let us solve the question
∵ A pair of Jordans sold at retail for $180
∴ The initial price = 180
∵ Now it sells for $330 aftermarket
∴ The new price = 330
→ That means the new price is greater than the initial price
∵ The new price is greater than the initial price
∴ This is a percent INCREASE
∵ The percent of change = (amount of increase ÷ initial amount) × 100%
∵ The amount of increase = new price - initial price
∴ The amount of increase = 330 - 180 = 150
→ Substitute it in the rule of percent of increase above
∵ The percent change = × 100%
∴ The percent change = × 100%
∴ The percent change = 83.33%