1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Conor and Jake's lunch cost 13.00. They left a 15% tip. How much did they leave?
notsponge [240]
1 dollar 95 cents is how much they left
8 0
2 years ago
For geometry:(<br><br> will give brainist to the correct answer!!!
Pani-rosa [81]

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that is parallel to 2x - 3y = 24, would have the same slope as the line, 2x - 3y = 24.

Rewrite;

2x - 3y = 24

-3y = -2x + 24

Divide both sides by -3

y = ⅔x - 8

Thus, the slope of 2x - 3y = 24 is ⅔.

Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.

Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.

Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Therefore:

y - (-7) = ⅔(x - (-3))

y + 7 = ⅔(x + 3)

Rewrite in slope-intercept form.

Multiply both sides by 3

3(y + 7) = 2(x + 3)

3y + 21 = 2x + 6

3y = 2x + 6 - 21

3y = 2x - 15

Divide both sides by 3

y = ⅔x - 5

7 0
3 years ago
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST.
lara31 [8.8K]

Answer:

C) The cost increases $2.50 for every additional pair of shoes rented.

Step-by-step explanation:

Notice a pattern. When you buy a new pair of shoes, the total gets increased by $2.50 depending on how many pairs of shoes you buy. For example, starting with 1 pair of shoes, it costs $2.50, but when you buy another pair, the cost is $2.50+$2.50=2*$2.50=$5.00, and so on...

Therefore, the correct choice is C

7 0
2 years ago
(2 x 106) x (0.00009) = ?
RSB [31]

I think you meant to write

(2 × 10⁶) × 0.00009

First, convert 0.00009 to scientific notation:

0.00009 = 9 × 10 ⁻⁵

Then

(2 × 10⁶) × 0.00009 = (2 × 10⁶) × (9 × 10 ⁻⁵)

… = (2 × 9) × (10⁶ × 10 ⁻⁵)

… = 18 × 10¹

… = 1.8 × 10²

4 0
2 years ago
A screwdriver set has a selling price per unit of $27.95. It also has fixed costs of $837,500, variable costs per unit of $3.25
Sergio [31]
A) $1,016,250 is the right answer

3 0
3 years ago
Read 2 more answers
Other questions:
  • 2 5/16 divided by 7/8
    7·1 answer
  • Find the slope of (1, 2), (-1, -2). Reduce all fractional answers to lowest terms
    9·1 answer
  • an alloy of tin is 15% tin weigh 20 pounds . A second alloy is 10% tin . how much pounds of the second alloy must be added to th
    8·1 answer
  • one side of a rectangle is 4 feet shorter than four times the other side. find the sides of the are if the rectangle is 24 squar
    6·1 answer
  • The slope AB is -4
    6·2 answers
  • Point A is located at (1, 5), and point A′ is located at (-2, 1). What is the distance from B to B′ ?
    14·1 answer
  • A store manager is inspecting two large bags of nuts. In bag A, 35% of the nuts are cashews. In bag B, 40% of the nuts are cashe
    6·1 answer
  • The perimeter of a square measures 26 cm. What is the length of the side of the square? Sketch a model to show how the length is
    13·1 answer
  • a school is purchasing a new uniform for the badket ball team each uniform costs the school $44.00 the school pays a $70.00 flat
    6·2 answers
  • What does the formula |_|r^2 <br> find?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!