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kobusy [5.1K]
3 years ago
12

Use implicit differentiation to find dy/dx. ln xy + 5x = 30. Please write out the steps.

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0
For the answer to the question above, I' ll show the step by step on how to solve your problem,
First,
ln x+lny+5x = 30 
Then,
1/x + (1/y)(dy/dx) + 5 = 0 

the last step is

(1/y)(dy/dx) = -1/x - 5x 

<span>dy/dx = -y/x - 5xy 
I hope my explanation and answer helped you</span>
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In her last race, bergen swam 1,500 meters in 30 minutes.on average, how many meters did she swim per minutes?
Lelechka [254]
What you will need to do is take 1,500 which is the distance by 30 the speed to get 1500/30 which will get you 50 if you want to check your work divide 1500 by 50 and see if you get 30

Answer : 50 Meters per Minuite
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4 years ago
Which expressionis equal to (-7x+5.1y)-(-9x+5.3y)
Furkat [3]

Answer:

The simplified expression for the given expression will be:

c. 2x-0.2y

Step-by-step explanation:

Given expression:

(-7x+5.1y)-(-9x+5.3y)

To simplify the expression.

Solution:

In order to simplify the expression, we will first remove the parenthesis by reversing the signs of the terms inside the parenthesis which lies after a negative sign out side the parenthesis.

<em>This is because negative multiplies to a negative to give a positive and negative multiplies to a positive to give a negative.</em>

So, we have:

⇒ -7x+5.1y+9x-5.3y

Combining like terms

⇒ -7x+9x+5.1y-5.3y

<em>The like terms can be evaluated as</em>

-7x+9x=2x

5.1y-5.3y=-0.2y

Thus, the simplified expression will be:

⇒  2x-0.2y

7 0
3 years ago
Math 8 Review:Question 9
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Step-by-step explanation:

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3 years ago
A baseball stadium has 45,000 seats. If tickets have been brought for 5/8 of the seats for the next game, how many seats are sti
Nadusha1986 [10]

Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of seats that are available in the stadium is 16,875.

<h3>What is subtraction?</h3>

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given that a baseball stadium has 45,000 seats, out of this 45,000 seats, 5/8 of the seats are bought for the next game.

Therefore, the number of seats that are still available is,

Number of seats available

= Total number of seats - Seats already sold

= 45,000 - (45,000 × 5/8)

= 45,000 - 28,125

= 16,875

Hence, the number of seats that are available in the stadium is 16,875.

Learn more about Subtraction here:

brainly.com/question/1927340

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