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Elanso [62]
3 years ago
7

An instructor has graded 23 exam papers submitted by students in a class of 24 students, and the average so far is 75. (The maxi

mum possible score is 100.) How high would the score on the last paper have to be to raise the class average by 1 point
Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer: The last paper has to be 99 over 100 to move the class average by 1 point

Step-by-step explanation:

total points on the 23 exams: 23*75 = 1725

-----

For 24 papers to average 76 points you need 24*76= 1824

---

Score on the final paper would have to be (1824-1725) = 99

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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)x^{2-1} - 4(1)x^{1-1} + 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

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→ 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

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