Consider the function represented by 9x+3y = 12 with x as the independent variable. How can this function be
written using function notation?
ORD=-v+
O f(x) = -3x+4
OF) = -3y+ 4

Answers

Answer 1

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

letting y = f(x) , rearrange making y the subject

Given

9x + 3y = 12 ( subtract 9x from both sides )

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4, thus

f(x) = - 3x + 4 ← in functional notation


Related Questions

The diagram is not drawn to scale
20
3x-8
Find the value of x to the nearest tenth.

Answers

Answer:

sin22=x/11

0,374×11=x

x=4,12

Step-by-step explanation:

‼️Please help me‼️Use the number line to find FB. Enter your answer as a number

Answers

Answer:

-11

Step-by-step explanation:

the formula for the distannce of AB with A the starting point is

B-A

so in this case

FB

F is the starting point

-6-5=-11

where the digit 1 sits in this number.

712,662,522,097

Answers

Answer:

ten billionths place

Step-by-step explanation:

in June Mr Chen's students read 40 books. In July, they read 30 books. what is the percent increase or decrease in the number of books they read?

Answers

Answer:95%

Step-by-step explanation:

Answer:

25% decrease

Step-by-step explanation:

did the quiz

Can someone help me with this question

Answers

It’s the letter C. 9a2 - 25b2
The best and correct answer is A because u got to simply the product which gives u (3a)^2-(5b)^2 then 9a^2-(5b)^2

The perimeter of a square picture froame is 48 inches. One side length of the frame si 30.48 centimeters, how many centimeters are in an inch?

Answers

4

Step-by-step explanation:

When can you use proportional reasoning to solve a problem? A: When two quantities add to 1 B: When one quantity is a constant multiple of the other C: When the two quantities multiplied equal a constant D: When one quantity is 1 more than the other

Answers

Proportional reasoning is a form of 'operational reasoning' based on

Piaget's theory.

Proportional reasoning can be used to solve a problem; B. When one

quantity is a constant multiple of the other.

Reasons:

Proportional reasoning is the reasoning based on the cognition that a

relationship exists between the multiples of the variables in the problem,

such that the magnitude of a variable can implied from the changes made

to the relationships connecting the variables.

An example of proportional reasoning is the distance travelled, d, after a

given time, t, at a constant velocity, v;

d = v·t

To judge the distance travelled, a constant, v,  multiplies the time, t, such

that, at a longer time, it can be reasoned that the distance travelled is

much further.

Therefore;

Proportional reasoning can be used to solve a problem in which one quantity is a constant multiple of the other.

Learn more here:

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Options B and C are the correct conditions under which you can use proportional reasoning to solve a problem:

Proportional reasoning is a mathematical concept that involves understanding and solving problems that relate two or more quantities in a proportional manner. It helps us analyze and predict how changes in one quantity affect another based on their proportional relationship.

B: When one quantity is a constant multiple of the other:

In this case, if one quantity is a constant multiple of another, it means that they are directly proportional. For example, if the quantity of oranges you buy is always twice the quantity of apples you buy, then the quantities of oranges and apples are directly proportional. Proportional reasoning can be used to solve problems related to this relationship.

C: When the two quantities multiplied equal a constant:

If the product of two quantities remains constant, regardless of their individual values, they are inversely proportional. For instance, if the time taken to complete a task is inversely proportional to the number of people working on it, as the number of people increases, the time taken decreases. Proportional reasoning can be used to solve problems involving inverse proportionality.

In summary, proportional reasoning is used when two quantities are directly or inversely proportional to each other, i.e., when one quantity is a constant multiple of the other or when the product of the two quantities remains constant.

Learn more about proportional relationship click;

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20 points
NEED HELP PLEASEEEE

Answers

Answer:

The anwser is option 2

Step-by-step explanation:

-7/12 is the answer.

Which of the following is a trinomial?

Answers

It’s answer D.
A trinomial is a polynomial with 3 term, and D is the only one with 3 terms :)

Answer:

D

Step-by-step explanation:

the answer d has 3 values which gives you a hint on the word TRInomial. Because "tri" means 3.

Abby reads 8 more than twice
as many books than Kristen in
the first quarter. Write an
expression for the number of
books that Abby has read,

Answers

Answer:

A = 8 + 2x

Step-by-step explanation:

Variables:

A = Books Abby has read

x = Books Kristen has read

Simplify. 4−8÷2+3
i need help with it

Answers

Answer:

3

Step-by-step explanation:

Using PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction), You do 8/2 first, which equals 4, then add 3 which turns 4 into a 7, then finally subtract 4 and your final answer is 3.

Answer:

3

Step-by-step explanation:

I took the test >.<

Given M is the midpoint ABA. The coordinate of A are (-4,2) and the cordinates of M are (1,1). Find the coordinate of B. Choose (-2,4) (-2,0) (6,4) (6,0)

Answers

Answer:

The coordinate of B is (6,0)

Step-by-step explanation:

Given;

coordinate of A = (-4,2) = (x₁, y₁)

coordinate of M = (1,1)

let coordinate of B = (x₂, y₂)

Mid-point is given by;

[tex]M = \frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\M= (1,1)\\\\1,1 =\frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\ \frac{X_1 + X_2}{2} = 1 ----equation (1)\\\\\frac{Y_1 + Y_2}{2} = 1 -----equation(2)\\\\Solving \ equation(1)\\\\\frac{-4+ X_2}{2} = 1\\\\-4+ X_2 = 2\\\\X_2 = 2+4\\\\X_2 = 6\\\\Solving \ equation(2)\\\\\frac{Y_1 + Y_2}{2} = 1\\\\\frac{2+ Y_2}{2} = 1\\\\2+Y_2 = 2\\\\Y_2 = 2-2\\\\Y_2 = 0\\\\B = (X_2, \ Y_2)\\\\B = (6, \ 0)[/tex]

Therefore, the coordinate of B is (6,0)

Austin got 72% of the questions correct on his last math quiz if there were 25 total question how many did he answer incorrect

Answers

Answer:

Austin answered 7 questions incorrectly.

Find the slope of the line through (2, -3) and (-4, 3).

Answers

We can use the given points to solve.

Slope formula: y2-y1/x2-x1

3-(-3)/-4-2

6/-6

-1

Best of Luck!

Given Points:

(2, -3) and (-4, 3)

To Find:

The slope of the line through (2, -3) and (-4, 3).

Slope Formula:

y2 - y1 / x2 - x1

Solution:

3 + 3 / -4 - 2

= 6 / -6

= -1

Answer:

-1

y varies directly as x = 1/2 and y = 5/4. what is x when y is 60

Answers

Answer:

X is 24

Step-by-step explanation:

mark me brainliest!!!!

–9 + 6p = 5p answer for p

Answers

Step-by-step explanation:

[tex] - 9 + 6p = 5p[/tex]

[tex]6p - 5p = 9[/tex]

[tex]p = 9[/tex]

is the answer.

The things to Note:-

The negative changed to +ve when goes beyond the equals to sign.And, the vice versa.

☃️ Hope it HELPS ☃️

PLEASE HELP WILL MARK BRAINLIEST!! THE QUESTION IS ABOVE IN THE PICTURE PLEASE HELP!!!




WORTH A LOT OF POINTS I PUT 65!! HELP MARK BRAINLIEST
THE OPTIONS FOR CHOOSE ARE 1st one- 5, 50, 2, and 10. 2nd one- 10, 5, 50 and 100

Answers

Hello! The first answer choice is D. Can you try sending another picture for the second part? I think part of the picture got cut off, so I can’t answer it. Have a great day! :)

Answer:

C.   100 ≤ 20x 1000

Step-by-step explanation:

area of a rectangle is L x W

where W = 5,  L = 4x

area 100 ≤ A ≤ 1000

A = 5 (4x)

= 20x

in which inequality 100 ≤ 20x 1000

Lcm of 7 , 8 and 9 ??

Answers

LCM of 7,8 and 9 is 504

7=1,7

8=2x2x2

9=3×3

LCM =2x2x2x3x3x7 =504

eeeeeeee if u can answer this i will give u brainly c:

Answers

Between each point of "5" there are 10 little squares in between and each number passes every 2 little squares. So we can use this to solve the questions.

Part A:

Count all the pupils who scored "more" than 7 using the assumption we made above.

12 scored more than 7

Part B:

Since we know that 14 scored more the seven, count all of the pupils who scored 7 and less.

15 scored a seven or less.

Add both numbers.

12 + 15 = 27 total pupils

Part C:

The assumption we had to make was to count each two little squares that represent one pupil to find the answer for Part B.

Best of Luck!

Answer:

the person above is 100% right

Step-by-step explanation:

I need help it’s geometry it’s due today at 11:59 pm Texas time

Answers

Answer:

to be parallel

slope should be equal

for first question

y=1/3X +2

comparing with y=m1x+c

slope = 1/3

similarly for second equation

y=1/3x -4

comparing with y=m2x + c

m2= 1/3

since m1=m2

lines are parallel

11h - (2h-1) = 118
what is h?

Answers

Answer:

h =13

Step-by-step explanation:

[tex]11h - (2h-1) = 118\\\\\mathrm{Expand\:}11h-\left(2h-1\right):\quad 9h+1\\9h+1=118\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\9h+1-1=118-1\\\\Simplify\\9h=117\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9h}{9}=\frac{117}{9}\\\\Simplify\\h =13[/tex]

Answer:

H=13

Step-by-step explanation:

First, remove the individual terms from parenthesis. Be careful to handle the signs of each individual term correctly:

to solve for  h

while keeping the equation balanced:

9 h 9 = 117 9

9 h 9 = 13

sams collects baseball cards he has 6 binders full of cards each page in the binder holds six cards and each binders has 36 pages how many baseball cards has Sam collected

Answers

Answer:

1,296

Step-by-step explanation:

36 pages x 6 cards a page = 216 cards per binder

216 cards x 6 binders = 1296

The number of baseball cards Sam collected will be 1,296.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that sam collects baseball cards he has 6 binders full of cards each page in the binder holds six cards and each binder has 36 pages.

The number of cards will be calculated as:-

36 pages x 6 cards a page = 216 cards per binder

216 cards x 6 binders = 1296

Hence, the number of cards will be 1,296.

To know more about an expression follow

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Draw the diagram and find x. Show your work. A.X=7 B.x=15 C.x=11

Answers

Answer : x= 11°

AngleA=44°

AngleB=55-9=46°

Simplify 4 to the 2nd power ⋅ 4 to the 8th power.

Answers

Use exponent rule: x^y * x^z = x^y+z

4^2 * 4^8

4^2+8

4^10

1,048,576

Best of Luck!

How do you find 2-4-n=

Answers

Answer:

[tex]a^{3}[/tex]=-5

Step-by-step explanation:

=-5 is the answer of your question

Is -2/5 irrational or rational and why???

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

I been trying to figure the question out for the past 20 minutes and I can’t find the answer please help. (Question in picture)

Answers

Answer:

  125°°

Step-by-step explanation:

∠DFC is a vertical angle with ∠BFE. As such, it is the sum of the right angle and the one marked 35°.

  ∠DFC = 90° +35°

  ∠DFC = 125°

_____

Alternate solution

∠CFA = 90° = ∠CFB +∠BFA

∠CFB = 90° -35° = 55°

∠BFC and ∠CFD are a linear pair, so total 180°

∠CFD = 180 -55° = 125° = ∠DFC

445,473 divided by 316 = ?

Answers

Answer:

1409.724683544

Step-by-step explanation:

You could have just used a calculator lol

I need to know how to get the answer with an explanation WHOEVER HELPS ME GETS A BRAINIEST SO PLEASE HELP

Answers

this is the answer either way works hope this helps !

What is 0.941941 repeating in fraction form ( simplest form) I need help!!!!

Answers

0.941941 converted to a simplified fraction is 941941/1000000

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