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

What is the simplest form of 63/91

Answers

Answer:

Step-by-step explanation:

9/13

divide them by 7

9/17
Divide by 7., okzd

A number (n) minus 6 is greater than or equal to 11.

Answers

Answer:

the number can be 17 or higher.

Step-by-step explanation:

17-6=11

The answer would be 11

Which is the correct classification of StartRoot 32 EndRoot? irrational number, nonrepeating decimal irrational number, terminating decimal rational number, nonrepeating decimal rational number, terminating decimal

Answers

Answer:

its A  i got you

Step-by-step explanation:

The correct classification of [tex]\sqrt{32}[/tex] is it is an irrational number.

What is a perfect square number?

A perfect square number when taken the square root of it results in an integer.

Numbers that are not perfect squares when taken the square root of it are irrational numbers.

One method of obtaining square roots for perfect squares is prime factorization.

We know if a number is not a perfect square it is an irrational number.

[tex]\sqrt{32}[/tex] can be written as [tex]\sqrt{2\times2\times2\times2\times2[/tex] which is [tex]2^2\sqrt{2}[/tex].

= [tex]4\sqrt{2}[/tex] and [tex]\sqrt{2}[/tex] is not a perfect square so it is an irrational number.

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Eliminate the y in the following system of equations. What is the result when you add the two equations?
x+y=2
3x-4y=27

A.7x=29
B.x=-23
C.7x=35
D.4x=29

Answers

Answer:

C

Step-by-step explanation:

x + y = 2

Subtract x from both sides;

y = -x + 2

3x - 4y = 27

Substitute y;

3x - 4(-x + 2) = 27

Distribute;

3x + 4x - 8 = 27

7x - 8 = 27

Add 8 to both sides;

7x = 35

Divide both sides by 7;

x = 5

Solve the equation. Show your work / explain your steps. x - 5 + 3x = -21

Answers

Answer:

X = -4

Step-by-step explanation:

See image for explanation

Answer:

x=4

Step-by-step explanation:

x - 5 + 3x = -21

add 3x and x and add 5 to both sides of the equation

4x = -16

then divide both sides by 4

x = 4

ya answer is x = 4

Select the correct answer
(0,b)
(-a, 0)
(0,0)
(a,0)
(0, -b)
What is the perimeter of the polygon in the diagram?
A. 2/(0-6)
B. 4(a+b)2
OC. 2(22+62)
OD. 4√22+6²

Answers

Answer:

b

Step-by-step explanation:

The perimeter of the polygon is 4√(a² + b²).

Option D is the correct answer.

What is the distance between two points of a line?

The distance between two points of a line is given as:

Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

We have,

The polygon is formed by joining the four-point:

(0, b), (-a, 0), (a, 0), and (0, -b)

The distance between two points (x1, y1) and (x2, y2) is given by the formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Now,

Using this formula, we can find the lengths of the sides of the polygon:

The distance between (0, b) and (-a, 0) is d1.

= √[(0 - (-a))² + (b - 0)²]

= √(a² + b²)

The distance between (-a, 0) and (0, -b) is d2.

= √[(0 - (-a))² + (-b - 0)²]

= √(a² + b²)

The distance between (0, -b) and (a, 0) is d3.

= √[(0 - a)^2 + (0 + b)^2]

= √(a² + b²)

The distance between (a, 0) and (0, b) is d4.

= √[(0 - a)²+ (b - 0)^2]

= √(a² + b²)

The perimeter of the polygon is:

P = d1 + d2 + d3 + d4

= 4√(a² + b²)

Thus,

The perimeter of the polygon is 4√(a² + b²).

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Is -4 greater than -4.25?

Answers

Answer:

Yes

Step-by-step explanation:

The smaller the negative number, the greater it is. i.e., -230 < -9.

Answer:

yes

Step-by-step explanation:

it is closer to zero on a number line, therefore the value of -4 is higher even though it's negative

graph the inequality -5 < x < 1

Answers

Answer:

B

Step-by-step explanation:

Open circle represents < and >

Since -5 is less than x, that is the starting point.

1 is greater than x, that is the end point.

Best of Luck!

On what dThe function f(x) = x5 + (x + 3)2 is used to create this table. A 2-column table with 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is labeled f of x with entries negative 31, question mark, 9, 17. Which value completes the table? –17 –3 1 3

Answers

Answer:

the answer is 3

Step-by-step explanation:

I just did it

The value of the function for x=-1 is 3.

The given function is [tex]f(x)=x^{5} +(x+3)^{2}[/tex].

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

From the table, we get coordinates as (-2, -31), (-1, y), (0, 9) and (1, 17).

To find the y value of the coordinate (-1, y), substitute x=-1 in the given function.

That is, [tex]f(-1)=(-1)^{5} +(-1+3)^{2}=3[/tex]

Therefore, option D is the correct answer.

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hey wots 700÷28 ? answers ?

Answers

Answer:

Answer mine plz

Step-by-step explanation:

Answer:

its 25

Step-by-step explanation:

I guess I was help full for u

plz follow me for more update

Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has cm of gold​ ribbon, does he have enough to decorate the top of the​ box?

Answers

This question is incomplete and lacks the required diagram

Complete Question

Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has 24 1/4 inches of gold​ ribbon, does he have enough to decorate the top of the​ box?

Answer:

Yes, he has enough ribbon to decorate the top of the box.

Step-by-step explanation:

From the above question, we are told that the volume of the box = 296cm³

Volume of the box = a³

296cm³ = a³

a = √296cm³

a = 6.6644437033cm

The side length of the box = 6.6644437033cm

The length of the ribbon = 24 1/4 inches

= 24.25 inches long.

Converting this to centimeters =

1 inch = 2.54cm

24.25 inches =

24.25 × 2.54 cm

= 61.595cm.

Length of the ribbon = 61.595cm.

Since from the above, we know the edges of the cube = square

Edge length of the box = 6.6644437033cm

The perimeter of a top of the box

= 4a

= 6.6644437033cm × 4

= 26.657774813 cm

Subtracting the perimeter of the top of the box from the length of the ribbon

61.595cm - 26.657774813 cm

= 34.937225187 cm ( ribbon left)

Therefore, he has enough ribbons left

8x + 4(x - 1) simplified

Answers

Answer:

12x-4

Step-by-step explanation:

8x+4(x-1)

multiply whats inside the parenthesis by 4

8x+4x-4

add like terms

12x-4

Find the midpoint between (-1, -1) and (-9,6).?

Answers

Answer:

(-5,-3.5) is the midpoint

Step-by-step explanation:

See photo for the step-by-step explanation

Answer:

(4, -3.5)

Step-by-step explanation:

The baseball team is ordering hats for the upcoming season. The hat company
charges a certain amount per hat plus an initial fee of $55. There are 14 players on the
baseball team. If there are 14 players on the baseball team and the hat order comes to a
total of $363, how much does each hat cost?

Answers

Each hat cost at least $25.92

(5/8 x - 10) - (1/8 x - 12)

Answers

Answer: 16x-25 over 4(4x-5)(2x-3)

Step-by-step explanation:

(5/8x -10) - (1/8x - 12)
5/8x - 1/8x =1/2 (if simplified)
-10 - -12
-10+12
10-12
-2
1/2x - -2
Answer 1/2x +2

What is the value of -34 +2(x-7) if x=-1?

Answers

Answer:

Step-by-step explanation:

-34+2(-1-7)
-34+2(-8)
-34-16
-50

can someone please help me

Answers

Answer:

i think the answer would be none.

Step-by-step explanation:

I’m pretty sure the answer on none, because if you plug the numbers onto the x or even try to solve it none of those numbers work

Kim poured a 24-ounce container of orange juice into 5 cups. She poured the same amount of juice into each cup. Write a rational number that represents the amount of juice in each cup.Required to answer.Single line text.

Answers

Answer:

4.8

Step-by-step explanation:

24/5 = 4.8

A rational number is any whole number, fraction, finite decimal or repeating decimal. Therefore 4.8 = rational number.

A rational expression to represent the amount of juice in each cup is 24/5.

What is a fraction?

A fraction is a part of the whole represented by a/b, where a and b are any integers.

Given, Kim divided 24 ounces of orange juice into 5 cups.

Therefore, the amount of juice in each cup is:

24/5

Hence, a rational expression to represent the amount of juice in each cup is 24/5.

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Gershon lives 3 10 mile from the soccer fields. How far does Gershon walk if he walks from home to the soccer fields and back home? How many miles did he walk

Answers

Answer:

Gershon walked 620 mile

Step-by-step explanation:

From the question,

Gershon lives 310 mile from the soccer fields,

This means the distance from where Gershon lives to the soccer fields is 310 mile.

Likewise, the distance from the soccer fields to where Gershon lives his as well 310 mile.

So, if Gershon walks from his home to the soccer fields, he will cover a distance of 310 mile.

Then, if Gershon walks back home from the soccer fields, he will cover another distance of 310 mile.

Now, To determine how many miles he walked,

Total number of miles Gershon walked = The distance from where Gershon lives to the soccer fields + The distance from the soccer fields to where Gershon lives

Hence, Total number of miles Gershon walked = 310 mile + 310 mile

Total number of miles Gershon walked = 620 mile

Hence, Gershon walked 620 mile

Solve the inequality
2(4+2x)≥5x+5

Answers

Answer:

x ≤ 3

x ∈ [ 3 ; +oo )

Step-by-step explanation:

2(4 + 2x) ≥ 5x + 5

8 + 4x ≥ 5x + 5

8 - 5 ≥ 5x - 4x

3 ≥ x

x ≤ 3

x ∈ [ 3 ; +oo )

how do you simplify -2

Answers

It's already simplified.

It’s already simplified

True or false? <4≈<5

Answers

Answer:

false FALSE FALSE FALSE

NEED HELP PLEASEE!!!

Answers

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{\frac{84}{15}in^{2}}[/tex]

[tex]\text{Area of a rectangle: A = l * w }\\\\w = 4\frac{1}{5}, \text{ and } l = \frac{4}{3} \\\\\text{Rewrite the mixed number into an improper fraction to make it easier to solve:}\\\\4\frac{1}{5} = \frac{21}{5}\\ \\\text{Multiply the two fractions:}\\\\\frac{21}{5}*\frac{4}{3} = \frac{21*4}{5*3} = \frac{84}{15}in^{2}[/tex]

9.
An amusement park charges $15 for admission and $1.50 for each ride. You go to the park with $30. Write and
solve an inequality that represents the possible number of rides you can go on.

Answers

Answer: 15+1.50x ≤ 30 ; less than or equal to 10 rides

Step-by-step explanation:

Subtract 15 on both sides. 15+1.50x ≤ 30Divide 1.50 on both sides. 1.50x ≤ 15x ≤ 10

What is your dream car

Answers

Answer:

Toyota like my mom hajaha

Either a Ford like my dad or a Audi like my aunt lol

Together a refrigerator and a desk cost $216. Find the price of each if the refrigerator costs three times as much as the desk

Answers

Refrigerator 162$ and desk cost 54

Step-by-step explanation:

Cost of refrigerator and desk =$2163x+x=2164x=216x=216/4x=54now, Cost of refrigerator = 3x = 3*54 = 162

Hey guys so I have a question I am not really sure about and confused so let's say we have an inequality its

-12x 6 so the sign flips for this one now how would the first one work with both negatives will this inequality flip as well or stay the same please I just keep on getting confused.

Answers

Answer:

Step-by-step explanation:

This is an easier way

[tex]-10p<-70\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-10p\right)\left(-1\right)>\left(-70\right)\left(-1\right)\\\\Simplify\\\left(-10p\right)\left(-1\right)>\left(-70\right)\left(-1\right)\\\\\mathrm{Divide\:both\:sides\:by\:}10\\\frac{10p}{10}>\frac{70}{10}\\\\Simplify\\p>7[/tex]

I think this is what u meant

[tex]\frac{-10p}{-10} < \frac{-70}{-10} \\\\p > 7[/tex]

Mixed nuts sell for $7.89 a pound. Leticia fills a bag and weighs it. The bag weighs 2.3 pounds. About how much will the bag of nuts cost? Estimate $7.89(2.3). The bag of nuts will cost about .

Answers

Answer:

About $16

Step-by-step explanation:

To find the answer first round the weight from, 2.3 to 2. Next round the price per pound from $7.89 to 8.00. Last, multiply the weight of the bag by the price per pound. I hope this was helpful. Have a wonderful day!

Answer:

the person above me is right give them 5 stars and thanks.

Step-by-step explanation:

For a field trip 12 students rode in cars and the rest filled 8 buses.
How many students were in each bus if 324 students were on the
trip?
Help plzzzz

Answers

the answer is 39.


subtract 12 from 324, which is 312, and do 312 divided by 8 to get the answer.

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

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