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2 years ago

Consider the function represented by 9x + 3y= 12 with x as the independent variable. How can this function be written

Mathematics

1 answer:

Elena-2011 [213]2 years ago

8 0

Answer: f(x) = -3x + 4

Step-by-step explanation:

The function is represented by

9x + 3y= 12

This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes

9x + 3y= 12

Subtracting 9x from both sides,

9x -9x + 3y = 12 - 9x

3y = 12-9x

Dividing the lefthand side and right hand side of the equation by 3, it becomes

3y/3 = (12-9x)/3

y= -3x + 4

using function notation,

y = f(x) = -3x + 4

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Answer:

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Step-by-step explanation:

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c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that $x = 0$ corresponds to a local maximum. (See Attachment)

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2 years ago

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Alekssandra [29.7K]

We know that
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for r=65/2----> r=32.5 cm
circumference=2*pi*32.5-----> 204.1 cm
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3.2 km-------> 3200 m
1 revolution---------> 2.041 m
x rev------------> 3200 m
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