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aleksandr82 [10.1K]
3 years ago
14

What is the rate of change of the following equation? y = 5x + 4​

Mathematics
1 answer:
almond37 [142]3 years ago
7 0

Answer:

5

Step-by-step explanation:

Rate of change of the equation y = 5x + 4 can be obtained by differentiating it with respect to x.

\because \: y = 5x + 4 \\  \therefore \:  \frac{dy}{dx}  =  \frac{d}{dx} (5x + 4) \\ \\    = 5 \frac{d}{dx} x + \frac{d}{dx} 4 \\  \\  = 5 \times 1 + 0 \\ \therefore \:  \frac{dy}{dx}   = 5 \\

Hence, rate of change of y = 5x + 4 is 5.

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Step-by-step explanation:

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100

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as

(

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(

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.

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+

60

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+

9

(

10

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2

+

60

x

+

9

Rewrite

9

9

as

3

2

3

2

.

(

10

x

)

2

+

60

x

+

3

2

(

10

x

)

2

+

60

x

+

3

2

Check the middle term by multiplying

2

a

b

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

(

10

x

)

⋅

3

2

a

b

=

2

⋅

(

10

x

)

⋅

3

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2

a

b

=

60

x

2

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b

=

60

x

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a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where

a

=

10

x

a

=

10

x

and

b

=

3

b

=

3

.

(

10

x

+

3

)

2

3 0
3 years ago
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