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serious [3.7K]
3 years ago
8

You sell instruments at a Caribbean music festival. You earn $326 by selling 12 sets of maracas, 6 sets of claves, and x

Mathematics
2 answers:
IrinaK [193]3 years ago
6 0
326=12m+6c+x The reason your x does not have a number is because it is unknown so in order to solve for x you need to get rid of the 12m+6c so in order to that you can divide it on both sides so you would get 326/12m+6c=x the divide your numbers 18.1=x but you cant have a tenth of a djembe drum so you would have to round up to 19.
dimaraw [331]3 years ago
5 0
326 = 12m + 6c + x = 18 rounded to 19
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Answer:

The values of a and b are  a=\frac{1}{4} and b = 1

Step-by-step explanation:

* <em>Lets explain how to solve the equation</em>

  f(x) =  {x²                x  ≤ 2

            {ax³ + bx     x > 2  

* We need to find the values of a , b that make the function

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- <em>At first for f(x) to be continuous at x = 2, substitute x by two in the</em>

<em>  the two expressions and equate them</em>

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∴ f(2) = (2)² = 4 ⇒ (1)

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∴ f(2) = 8a + 2b ⇒ (2)

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* <em>For f(x) to be differentiable when x = 2, the function must be </em>

<em>  continuous when x = 2 and the one-sided derivatives must be </em>

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# <u>Remember</u>: If f(x)=ax^{b} , then f'(x)=abx^{b-1}

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∴ f'(x) = 3ax² + b

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∴ f'(2) = 3a(2)² + b

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- Equate (4) and (5)

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- Add equations (3) and (7)

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<h2><u><em>Yes, He Has That Correctly</em></u></h2>
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Answer:

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Answer:

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