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n200080 [17]
2 years ago
8

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

Mathematics
1 answer:
kondor19780726 [428]2 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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30 POINTS NEED HELP
KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x        Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2        Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560     Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558

Dividing both sides by 9

\frac{9x}{9}=\frac{558}{9}\\x=62

Putting x=62 in Eqn 1

y=5(62)\\y=310

Putting x=62 in Eqn 2

z=3(62)+2\\z=186+2\\z=188

Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11416224
  • brainly.com/question/11638377

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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right?

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I need some help, yes this is a repost soz.
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Answer:

Whats the question ;-;

Step-by-step explanation:

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