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4 years ago

Y=10x+100 what is the independent and dependent variable in this equation

Mathematics

1 answer:

valentina_108 [34]4 years ago

6 0

Answer:

In this equation X is independent variable while Y is dependent variable.

Step-by-step explanation:

Equation:

Y=10x+100

Independent variable in math:

A variable in an equation that may have its value freely chosen without considering values of any other variable.

Dependent variable in math:

A dependent variable is a variable in an expression, equation, or function that has its value determined by the choice of value of other variable.

<u>According to above definitions Y is dependent of x. As we changes the value of x the value of Y changes.</u>

For example if x = 1, Y will be 110.

And if x = 10, Y will be 200.

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VARVARA [1.3K]

Hey there! :)

Answer:

$g^{-1} (g(10))=10$

Step-by-step explanation:

Begin by calculating g(10):

g(x) = 3x - 6

Substitute in 10 for x:

g(10) = 3(10) - 6

g(10) = 30-6

g(10) = 24.

Plug '24' into 'x' into $g^{-1} (x)$

$g^{-1} (24)=\frac{(24) + 6}{3}$

Simplify:

$g^{-1} (24)=\frac{30}{3}$

$g^{-1} (24)=10$

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3 years ago

Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km

sammy [17]

Answer:

0.5 hour

Step-by-step explanation:

Given

Speed of Dina = 10 km/h

Distance = 20 km

So the time Dina taken to complete the track is:

$Speed=\frac{distance}{time}\\10=\frac{20}{time}\\time=\frac{20}{10}\\ time=2\ hours$

The time taken by Dina is 2 hours. As masha started with dina but she was 4 km of the path left to cycle,

her distance covered in 2 hours was:

$Distance\ covered\ by\ Masha\ in\ 2\ hours=20-4\\=16 km$

So we know the time and distance:

Now,

$Speed\ of\ Masha=\frac{distance}{time}\\ =\frac{16}{2}\\ =8\ kilometer\ per\ hour$

We have to calculate the time that will be needed by MAsha to complete the track:

As we know the speed and remaining distance

$Speed=\frac{distance}{time}\\8=\frac{4}{time}\\ time=\frac{4}{8}\\time=0.5\ hours$

Masha needs 0.5 hour to complete the track ..

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frozen [14]

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3 years ago

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Marrrta [24]

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