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Vsevolod [243]
3 years ago
6

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]3 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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I think the awnser is B=30

5 0
2 years ago
What's the area of the triangle with 9mm 76mm 100mm
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Answer:

  342 mm²

Step-by-step explanation:

The triangle shown has a base of 9 mm and a height of 76 mm. Its area is ...

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<em>Additional comment</em>

The other leg of the right triangle with one leg 76 mm and hypotenuse 100 mm will be about 65 mm. The base shown is 9 mm, so any triangle with the dimensions shown will be a fairly skinny obtuse triangle, not the acute triangle in the picture. (This makes us suspect an error: the 9 mm dimension maybe should be 90 mm.)

3 0
2 years ago
Last year, a factory produced 126 widgets per day. After retooling, production increased to 189 widgets per day. What was the pe
lys-0071 [83]
<h3>Answer:   50%</h3>

Work Shown:

change = new - old = 189-126 = 63

percent increase = (change/old)*100%

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5 0
3 years ago
Subtract 8 feet from 9 yards, 1 foot.
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Step-by-step explanation:

I knew I would have 1 foot left so that made sure it wasn’t A then I knew that it the answer had to be in yards so I convert 8 feet into yards which becomes 2.7 so it’s not three which makes I’m not C. So 9 yards minus 2.7 yards would equal the answer B

6 0
3 years ago
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