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n200080 [17]
3 years ago
8

StQuestion 1Calculate the derivative of y = f(x) = 3 x(4x + 7)Your answer:​

Mathematics
1 answer:
kondor19780726 [428]3 years ago
6 0

Answer:

\frac{dy}{dx} = 24 x + 21

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the function

      y = f(x) = 3 x ( 4 x + 7)

     y  = 3 x ( 4 x + 7)  

    y = 12 x² + 21 x ..(i)

Differentiating equation (i) with respective to 'x' , we get

\frac{dy}{dx} = 12 (2x) +21 (1)

\frac{dy}{dx} = 24 x + 21

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Emily Elizabeth has $1.50 in dimes and nickels. She has 22 coins in all. How many nickels does she have?
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Answer:

14

Step-by-step explanation:

We can set up the following system of equations:

\begin{cases}10d+5n=150\\d+n=22\\\end{cases}, where d is the number of dimes she has and n is the number of nickels she has.

Multiplying the second equation by -5 and adding both equations lets us isolate and solve for d:

10d+5n+(-5(d+n))=150+(-5(22)),\\5d=40,\\d=8

Plugging d=8 into any of the two equations will let us solve for n:

8+n=22,\\n=\fbox{$14$}.

Therefore, she has 14 nickels.

6 0
3 years ago
What's the answer to this ? Question
AURORKA [14]
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