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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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Murljashka [212]
3x^2-192=0
3x^2=192
x^2=\frac{192}{3}
x=\pm \sqrt{64}
x=\pm 8

x=-8 and x=8 are the solutions

5 0
3 years ago
Read 2 more answers
Yesterday between nooN And midnight the temperature dropped by 29.6 if the temperature was-5.4 at midnight what was it at noon
Deffense [45]

Answer:

24.2

Step-by-step explanation:

3 0
2 years ago
I need help plz help
Sunny_sXe [5.5K]

answer is C. 252 ft^2

split the figure into two pieces and first figure out the rectangle (shown in turquoise).

If you multiply the width and length (18*6) you should get 108.

Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.

8 0
3 years ago
What is the equation of this graph
Soloha48 [4]

Answer:

Step-by-step explanation:

hello :

an equation of this graph is : f(x) = a(x-h)²+k when (h,k) the vertex

so : h=5 and k= -4

f(x) = a(x-5)²-4....... now calculate : a

the y- intercept is :  - 6.5 means : f(0) = - 6.5

put x=0 and f(x) = - 6.5

you have : -6.5 = a(0-5)²-4

-6.5 = 25a - 4

25a = -2.5   so : a= -2.5/25= 1/10

the equation is :

<h2>f(x) = (1/10)(x-5)²-4</h2>
5 0
3 years ago
-3B+5=13<br> How do I solve for B
Eddi Din [679]

Answer:

b = -2 2/3

Step-by-step explanation:

Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 5 from both sides:

-3b + 5 (-5) = 13 (-5)

-3b = 13 - 5

-3b = 8

Next, divide -3 from both sides:

(-3b)/-3 = (8)/-3

b = -8/3

b = -2 2/3

~

7 0
3 years ago
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