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user100 [1]
2 years ago
9

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

Mathematics
1 answer:
Ivenika [448]2 years ago
6 0

Answer:

f(x)=-3x+4

(can't see some of your choices)

Step-by-step explanation:

We want x to be independent means we want to write it so when we plug in numbers we can just choose what we want to plug in for x but y's value will depend on our choosing of x.

So we need to solve for y.

9x+3y=12

Subtract 9x on both sides

     3y=-9x+12

Divide both sides by 3:

     y=-3x+4

Replace y with f(x).

    f(x)=-3x+4

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3 years ago
Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced
mylen [45]

Answer:

x=119119,\;\;\;y=119119

Step-by-step explanation:

Let the x be the first number, y be the second number and p be the product of the first and second number.

i.e  x+y=238238   \Rightarrow x=238238-y

      p=xy

   \Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2

\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119

Now,

x=238238-119119\\\\ \Rightarrow x=119119

Hence, x=119119,\;\;\;y=119119

   

8 0
2 years ago
What is an equation of a line,in point-slope from, that passes through (1, -7) and has a slope of -2/3
il63 [147K]

Answer:

y + 7 = - \frac{2}{3}(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

Where m is the slope and (a, b) a point on the line

Here m = - \frac{2}{3} and (a, b) = (1, - 7), thus

y - (- 7) = - \frac{2}{3}(x - 1), that is

y + 7 = - \frac{2}{3}(x - 1) ← in point- slope form

3 0
3 years ago
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