Using the Linear equation 4x-3y=12, express each of the following.
y in terms of x. y=

Using the Linear equation 4x-3y=12, express each of the following.
x in terms of y. x=

Answers

Answer 1

Using the given linear function, it is found that the expressions are given by:

[tex]y = \frac{4x}{3} - 4[/tex].[tex]x = \frac{3y}{4} + 3[/tex].

What is the given linear function?

It is:

4x - 3y = 12.

To find y in terms of x, we isolate y, hence the expression is given by:

[tex]3y = 4x - 12[/tex]

[tex]y = \frac{4x}{3} - 4[/tex]

To find x in terms of y, we isolate x, hence the expression is given by:

[tex]4x = 12 + 3y[/tex]

[tex]x = \frac{3y}{4} + 3[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124


Related Questions

I’ll give brainiest to the best solved An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?

A.
4 : 9

B.
8 : 27

C.
9 : 4

D.
27 : 8

Answers

The volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone

The volume of a cone is calculated as:

For the small cone, we have the following parameters:

Diameter = 3 inches

Height = 3.5 inches

Diameter = 4.5 inches

Height = 5.1 inches

So, the volume of the large cone is:

Calculate the difference of both volumes

Hence, the volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone

Read more about volumes at:

brainly.com/question/8994737

There are a total of 21 marbles in the box. And 5 of the marbles
are black and 6 of them are blue. A single marble is chosen at
random from the box. What is the probability of choosing a
black ball or a blue ball?

Answers

Step-by-step explanation:

there are in total 21 marbles.

5 black, 6 blue = 11 black or blue marbles.

so, the probability of pulling a black or blue marbles is as always desired possible outcomes / total possible outcomes = 11/21

!!40 points and Brainliest if it’s correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT ANSWER IT. Make sure you explain please!

Which of the following shows the correct first step to solve x^2 - 16x = -21 by completing the square?

A)x^2 - 16x + 64 = -21

B) x^2 - 16x + 64 = -21 + 64

C) x^2 - 16x + 16 = -21 + 16

D) x^2 - 16x + 8 = -21 + 8

Answers

Answer:

B) [tex]x^{2} -16x+64=-21+64[/tex]

Step-by-step explanation:

The first step to completing the square is by dividing "b" by 2, squaring that number, and adding it on both sides. In this case, 16/2 = 8 and 8 squared = 64. In answer choice B, this is correctly added to both sides of the equation.

See the full steps for completing the square below. If you're still stuck on this, I suggest watching the completing the square video on Tutors.com. It is very helpful!

Have a great day!

HELP PLEASE FOR NUMER 3 and 4 PLEAESE ASAP ANI WILL GIVE BRANILESS FOR THE FIRST PERSON

Answers

Step-by-step explanation:

what number you need help with

its literally 15 points
How do i find lateral area?
dont answer in a confusing way please i just need to understand this :(

Answers

Answer:

There are many areas but

Step-by-step explanation:

Area of square is L × W

where you multiply both length × width you get the answers squared

Area of a cube is L × W × H

this is where you multiply all length × width × height and get the answer cube

Are my answers correct?

Answers

Answer:

Check the last answer...

Step-by-step explanation:

Look at image above...

please help I'll give brainliest if answer is right ​

Answers

Answer:

The area is about 96.06 or 96.1

Step-by-step explanation:

I tried my best to solve it, I'm sorry if it's wrong.

The function f(x)=x^2 is graphed on the coordinate grid.

Use the Parabola tool to graph g(x).

g(x)=3x^2

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:graphed below.Explanation:vertex: (0, 0)

other points:

x    y

-2  12

-1   3

0   0

1    3

2   12

Let's see

g(x)=3x^2

Take some cordinates

(0,0)(1,3)(-1,3)(2,12)(-2,12)

Graph attached

PLS HELP ME I WILL MARK THE BRAINLIEST

Answers

Answer:

  a. 314.2 in²

  b. 36 m²

  c. 60 m²

Step-by-step explanation:

The areas of these plane figures can be found by substituting the given dimensions into the area formula.

a.

The area of a circle can be found from its diameter to be ...

  A = (π/4)d²

  A = (π/4)(20 in)² = 100π in² ≈ 314.2 in²

__

b.

The area of a parallelogram can be found as ...

  A = bh

  A = (9 m)(4 m) = 36 m²

__

c.

The area of a triangle can be found from ...

  A = 1/2bh

  A = 1/2(15 m)(8 m) = 60 m²

_____

Additional comment

A triangle with sides 17 and 15 and height 8 cannot be obtuse. It is a right triangle. (Those side lengths are a Pythagorean triple.)

What are the x intercepts for the following
function? f(x) = x2 - 4x + 4
a. 2 and 4
b. -1 and O
c. -4 and 4
d. 2

Answers

Answer: 2

Step-by-step explanation: It is 2. You can use the vertex formula x= (-b/2a) 4/2(1), which is 2 and x=2 is the x intercept.

Can someone please answer this?

Answers

ANSWER

it is the one that is highlighted Yellow

f=±✓de/4e

photo is how you do the work

if a pyramid 20yd,18yd,18yd what is the surface area

Answers

15YD

Step-by-step explanation:

A notebook company makes notebooks with covers in 2 different colors. A school district ordered 301 notebooks in each color. How many notebooks in total did the school district order?

Answers

Answer is 602 because we just take 301 times 2 because there is only two types of book in company and 301 book are ordered in each type so we just take 2 times 301

7x+ 8=29 how to solve it

Answers

Answer:

the correct answer is x = 3

Step-by-step explanation:

you solve this by moving all the terms that dont contain x to the right side and solve the equation.

hope this helps

have an awesome day -TJ

pls mark brainliest if this helps you :)

What is the area of this triangle?
Enter your answer in the box.
units

Answers

Answer:

[tex]S=\frac{1}{2}\times4\times4=8\ {\rm units}^2[/tex]

[tex]\left\{co\ calculate\right.\ \ \ \ \ \ \ \ \ \ \left\{S=\frac{1}{2}\right.\left.\ ah\right\}[/tex]

I hope this helps you

:)

Geometric series mastery test

Plato/edumentum

Answers

Answer:

183

Step-by-step explanation:

it is clearly a geometric sequence.

the common ratio of multiplication factor is -3.

3 × -3 = -9

-9 × -3 = 27

27 × -3 = -81

-81 × -3 = 243

the sum of these first 5 terms is

3 - 9 + 27 - 81 + 243 = 183

FYI - there is a formula to add the first n terms of a geometric sequence :

Sn = a1(1 - r^n)/(1 - r)

if r < 1 (like in our case -3).

in our case

S5 = 3(1 - (-3)⁵)/(1 - -3) = 3(1 - -243)/4 / 3×244/4 = 3×61 = 183

PLEASE HELP QUICK !!!!

For each of the following functions, list the excluded values from the
domain:
f (x) =
g(x) =
2-3
22 9
h(x) = V16 – 22

Answers

Answer:

fx is 4, gx is 3, hx is anything greater than, not equal to, 4.

Hope this helps!

Which symbol would correctly compare the values shown be
1-8|?|8

Answers

Answer:

=

Step-by-step explanation:

|-8|?|8|

8 ? 8
8 = 8
Hope this helps :)

which European country colonized Brazil?​

Answers

Answer:

Portugal in 1815 colonize Brazil.

The country of Portugal colonized Brazil.

Over 7 months, the weight of a baby measured in pounds doubled. Does its weight measured in kilograms also doubled

Answers

Answer:

Yes

Step-by-step explanation:

Yes. Explanations vary. Sample explanation: The weight itself doubles, so

any measurement of the weight using the same units will also double. We

can also see that by saying if the weight is x pounds, then double that weight

would be 2x pounds. The weight in kilograms will be x ÷ 2.2, and the double

weight will be or (2x) ÷ 2.2 2(x ÷ 2.2), which is also double.

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.

On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).
The vertex is the maximum value.
The axis of symmetry is x = negative one-half.
The domain is all real numbers.
The range is all real numbers.
The function is decreasing from (−∞, 6.75).

Answers

The domain is all real numbers.

On the coordinate plane, the parabola opens down, passes through (-2,0), has a vertex at (0.5,6.75) and goes through (1,0)

The vertex is its maximum value.

Will give brainliest, thanks, and 5 stars! LOTS OF POINTS! 50 POINTS!
I need help with these questions! Please help me. The choices are all true/false.
Please help me!!!!!!
Please provide in depth explanation too!!

Answers

Answer/Step-by-step explanation:

 All of the solutions to the equation 3x^2 - 12 = 0 are x = 12 and x = -2

Answer: False

Explanation:

[tex]3x^2-12+12=0+12[/tex]

[tex]3x^2=12[/tex]

[tex]\frac{3x^2}{3}=\frac{12}{3}[/tex]

[tex]x^2=4[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{4},\:x=-\sqrt{4}[/tex]

[tex]x=2,\:x=-2[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

There are two unique solutions to the equations (x-3)^2 = 16

Note: Each variable in the matrix can have only one possible value, and this is how you know that this matrix has one unique solution.

Answer: True

Explanation:

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=7,\:x=-1[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Ths solutions for the equation 2(x-3)^3 - 18 = 0 are x = 6 and x = 0

Answer: False

Explanation:

[tex]2\left(x-3\right)^3-18+18=0+18[/tex]

[tex]2\left(x-3\right)^3=18[/tex]

[tex]\frac{2\left(x-3\right)^3}{2}=\frac{18}{2}[/tex]

[tex]\left(x-3\right)^3=9[/tex]

[tex]\mathrm{For\:}g^3\left(x\right)=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]

[tex]=\sqrt[3]{9}+3,\:x=\frac{6-\sqrt[3]{9}}{2}+i\frac{\sqrt[3]{9}\sqrt{3}}{2},\:x=\frac{6-\sqrt[3]{9}}{2}-i\frac{\sqrt[3]{9}\sqrt{3}}{2}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7

Answer: False

Explanation:

[tex]2\left(x-5\right)^2-8+8=0+8[/tex]

[tex]2\left(x-5\right)^2=8[/tex]

[tex]\frac{2\left(x-5\right)^2}{2}=\frac{8}{2}[/tex]

[tex]\left(x-5\right)^2=4[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=7,\:x=3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8

Answer: False

Explanation:

[tex]\left(x+3\right)^2-25+25=-8+25[/tex]

[tex]\left(x+3\right)^2=17[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{17}-3,\:x=-\sqrt{17}-3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4

Answer: False

Explanation:

[tex]\frac{2\left(2x-1\right)^2}{2}=\frac{18}{2}[/tex]

[tex]\left(2x-1\right)^2=9[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=2,x=-1[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The only solution for equation (2x-1)^2-49=0 is x = 4

Answer: False
Explanation:

[tex]\left(2x-1\right)^2-49+49=0+49[/tex]

[tex]\left(2x-1\right)^2=49[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=4,\:x=-3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1

Answer: True
Explanation:

[tex]3\left(x+2\right)^2-3+3=0+3[/tex]

[tex]3\left(x+2\right)^2=3[/tex]

[tex]\frac{3\left(x+2\right)^2}{3}=\frac{3}{3}[/tex]

[tex]\left(x+2\right)^2=1[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=-1,\:x=-3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x  = -6

Answer: True

Explanation:

[tex]5x^2-180+180=0+180[/tex]

[tex]5x^2=180[/tex]

[tex]\frac{5x^2}{5}=\frac{180}{5}[/tex]

[tex]x^2=36[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{36},\:x=-\sqrt{36}[/tex]

[tex]x=6,\:x=-6[/tex]

~Lenvy~

Mrs. o'brien used a compass to draw two circles on a coordinate plane. circle a is centered at (3,-1)
and has a radius of 4 units. circle b is centered at (4, 5) and has a
radius of 3 units. select all of the
transformations that can be performed on circle a to prove that it is similar to circle b.

Answers

To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4

What is transformation?

Transformation is the movement of a point from its initial location to a new location.

Types of transformation are rotation, translation, dilation and reflection.

To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4

Find out more on transformation at: https://brainly.com/question/4057530

Evaluate the expression 10 + (8 - 4)2 ÷ 2.

Answers

Answer:

10 + (8 - 4)2÷2

10 + (4)2 ÷2

10 + 8 ÷ 2

10 + 4

= 14

can you please help me?

Answers

Answer:

102 dollars

Step-by-step explanation:

Help!!!! I need help with this one

Answers

Answer:

y=1/3x+2

Step-by-step explanation:

y=mx+b form is where m = the slop and b = the y interecept.

Y - Intercept

we can tell the y-intercept is 2 just by looking at the graph

Slope

For the slope, we can pick two points on the line, in this case, I will pick the points (0,2) and (3,3). Then, we can use the slope formula (y2-y1)/(x2-x1) to find the points, and after plugging the points in, we get 1/3, which is the slope

Plugging the numbers into slop intercept form

So we now know the slope is 1/3 and y-intercept is 2, so after plugging it into slope-intercept form (y=mx+b), we get y=1/3x+2

Classify the following triangle. The
O A. Scalene
O B. Equilateral
C. Isosceles
D. Acute
O E Right
O F. Obtuse

Answers

Scalene triangle: if none of the three sides of a triangle are equal to each other, it is called a scalene triangle.

Equilateral triangle: An equilateral triangle is a triangle in which all three sides have the same length.

Isosceles triangle: An isosceles triangle is a triangle that has two sides of equal length.

Acute Triangle: An acute triangle is a triangle with three acute angles.

Right Triangle: A triangle in which one of the interior angles is 90° is called a right triangle.

Obtuse Triangle: An obtuse triangle is a triangle with one obtuse angle and two acute angles.

Use the ordered pairs below. (10,20), (11, 21), (12, 22) What patterns are used to create the ordered pairs?​

Answers

Answer:

The x and y points are increasing by 1

Step-by-step explanation:

(x + 1, y + 1)

The x and y points are increasing by 1

(10, 20) => (10 + 1, 20 + 1) => (11, 21)

(11, 21) => (11 + 1, 21 + 1) => (12, 22)

(10, 20), (11, 21), (12, 22)

Hope this helps!

Pls help me do this :) urgent message!

Answers

Answer:

y-intersept is where the line crosses the y axis

on this one it is

(0,-3)

Hope This Helps!!!

Answer:

(0,-3)

Step-by-step explanation:

The y-intercept is where the equation of the line intersects the y-axis. In this case, by looking at the graph, we see that the y-intercept is (0,-3).

Hope this helps!!

1) The sum of the digits in a 2 digit number is 7. Reversing the digits increases the number by 9. What is the number?

Answers

Answer:

34

Step-by-step explanation:

Sum of two numbers = 7

1+6

2+5

3+4

34+9=43

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The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial amount. The half-life of the radioactive gas radon is approximately 2.8 days. The initial amount of radon used in an experiment is 74 grams. If N represents the number of grams of radon remaining t days after the start of the experiment, Question 6 of 10Which of these kinds of words get capitalized?O A. The names of professionsB. The titles of booksC. The names of the seasonsD. The descriptions of landmarksSUBMIT Brainliest if correct Which type of energy resource can be replaced in a short amount of time?. What was the response of Congress to Polks war message? Select two sentences from the passage that support the idea that Gutenberg considered the printing press his greatest undertaking.A"He had poured more than 20 years of his life and his entire fortune into his printing press." (paragraph 3)B"The press was just what he wanted it to bea remarkable invention that would serve mankind ..." (paragraph 3)C"Time after time, he had used the money to buy expensive metals and pay the workmen to set the type and work the presses." (paragraph 8)D"He could not have known that his ideas would spread quickly throughout Europe and become the standard process for printing ... " (paragraph 11)E"But history has been kind to him and has credited him with one of the greatest inventions of all time." (paragraph 13) George bought a 3-pound bag of potatoes and a 32-ounce bag of carrots. How many pounds of vegetables did George buy?A) 3 poundsB) 5 poundsC) 6 poundsD) 8 pounds how many part time and full time employees does the company have? 70 points and brainliest if the answer is correct5^4x5^7A. 125^11B. 15^11C. 5^28D. 5^11 2x+5=12 pleas and thank you :D How are oceans and salt marshes different? B A Salt marshes have deeper water than oceans. Salt marshes have shallower water than oceans. Salt marshes have more organisms than oceans. D . Salt marshes have more wave action than oceans. A city has a population of 360,000 people. Suppose that each year the population grows by 3.75% What will the population be after 11 years? Who was the first to really study genetics and nicknamed the father of genetics?. 4. Which group had a major influence on planning and executing acts of sabotage before the attacks on Normandy, including drawing maps of the attack zones and destroying transportation and communicationlines?O the British Navythe Nazi Luftwaffethe US Armythe French ResistanceD Which of the following best states a similarity between Samuel Adams and Patrick Henry?ownshend Acts have on American colonies? Q1) provided preschool for poor children q2) granted loans to college studentsq3) provided federal funding for elementary education solve following problem WILL MARK BRAINLIEST FOR A GOOD ANSWERWrite a letter to Judge Judy in order to get a retrial in Wayne Williams case. You need to explain your reasoning as to why he needs a retrial and cite specific evidence supporting your claim for a retrial. Write each expression without the absolute value symbol |3x+12| Please answer this question asap