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Irina18 [472]
3 years ago
12

(A) all values at which F has a local maximum: (B) all local maximum values of F:

Mathematics
1 answer:
Bingel [31]3 years ago
6 0

Answer:

  (a) {-3, 2}

  (b) {3, 4}

Step-by-step explanation:

The high points are (-3, 3) and (2, 4).

The x-values at which the function has a local maximum are {-3, 2}.

The local maximum values are {3, 4}.

_____

Your answer box probably doesn't want the curly brackets and maybe not the spaces, either. Those brackets are used to identify a <em>set</em> of values.

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Which of the following expressions does not represent “increase a quantity n by 25%”?
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Option C) 125n is the expression that does not represent “increase a quantity n by 25%

<u>Step-by-step explanation:</u>

The given expressions are for the quantity n which is increased by 25%.

  • Let us consider that n = 100.
  • The increase of n by 25 % is equal to 125.
  • Check for each options by substituting n=100 and the expression gives 125 or not.
  • Check which option does not represent the condition (increase of n by 25%)

<u>Option A) n + 0.25n </u>

Put n = 100,

⇒ 100 + 0.25(100)

⇒ 100 + 25

⇒ 125

So, option A) represents the given condition.

<u>Option B) (1 + 0.25)n</u>

Put n = 100,

⇒ (1+0.25) 100

Multiply 100 with each terms inside the bracket.

⇒ 100 + 25

⇒ 125

So, option B) represents the given condition.

<u></u>

<u>Option C) 125n</u>

Put n = 100,

⇒ 125 × 100

⇒ 12500

So, option C) does not represents the given condition.

<u>Option D) 1 1/4 n</u>

Put n = 100,

Convert the mixed fraction to proper fraction

⇒ (5/4) n

⇒ (5/4) 100

⇒ 500 / 4

⇒ 125

So, option D) represents the given condition.

<u></u>

<u></u>

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