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2 years ago

Write the equation 2 x + 3y = 12 in slope intercept form

Mathematics

1 answer:

kicyunya [14]2 years ago

6 0

Answer:

y = -2/3x + 4

Step-by-step explanation:

2x + 3y = 12

3y = -2x+12

y = -2/3x + 12/3

y= -2/3x + 4

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1. Simplify -7 + {12 - 3[50 - 4(2+3)] }

Komok [63]

1. Simplify $-7 + (12 - 3[50 - 4(2+3)])$ this expression step by step:

$2+3=5;$
$4\cdot (2+3)=4\cdot 5=20;$
$50-4\cdot (2+3)=50-20=30;$
$3\cdot [50-4(2+3)]=3\cdot 30=90;$
$12-3\cdot[50-4(2+3)]=12-90=-78;$
$-7 + (12 - 3[50 - 4(2+3)])=-7+(-78)=-7-78=-85.$

2. Simplify the expression $\dfrac{1}{3} + 6\left(\dfrac{2}{3} - \dfrac{1}{6}\right)^2$ in the same way:

$\dfrac{2}{3}-\dfrac{1}{6}=\dfrac{2\cdot 2-1}{6}=\dfrac{3}{6}=\dfrac{1}{2}$
$\left(\dfrac{2}{3} - \dfrac{1}{6}\right)^2=\left(\dfrac{1}{2} \right)^2=\dfrac{1}{4}$
$\dfrac{1}{3} + 6\left(\dfrac{2}{3} - \dfrac{1}{6}\right)^2=\dfrac{1}{3} + 6\cdot \dfrac{1}{4}=\dfrac{1}{3}+\dfrac{3}{2}=\dfrac{1\cdot 2+3\cdot 3}{6}=\dfrac{11}{6}$

6 0

4 years ago

Using the slope and the y-intercept, graph the line represented by the following equation. Then select the correct graph. 2y + 4

Vedmedyk [2.9K]

Hello there!

2y + 4 = 0

2y = -4

y = -2

My assumption is that you'd graph this as a horizontal line at (0,-2) but PLEASE double check with your teacher/instructor because I'm not sure if I'm right.

Hope this helped!

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DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!

7 0

3 years ago

Read 2 more answers

What is 12 over 24 simplified?

Jet001 [13]

Answer:

1 over 2

Step-by-step explanation:

Just divide the lesser value until you have 1. Then divide the greater value by that number. Example:

2 over 6

Divide by 2

It becomes 1 over 3.

3 0

3 years ago

Read 2 more answers

A politician who is running for the office of mayor of a city with 25,000 registered voters commissions a survey. In the survey,

motikmotik

Answer:

The 25,000 registered voters

Step-by-step explanation:

Population includes the entirety of the set of data, it consists of all the elements of a data set. For example all the students in a school, all the citizens of a country etc.

While the sample is the elements of the population from which observations are drawn from.

Therefore, for the case above, the population is the entirety of the registered voters in the city, that is all the 25,000 registered voters.

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4 years ago

How can you decompose the composite??

zhannawk [14.2K]

Answer:

as a semicircle, a hexagon, and a rectangle

Step-by-step explanation:

The first attachment shows the decomposition according to the answer choice above. It would make area computation about as simple as it could be.

The second attachment shows a decomposition with a circle. It leaves a very odd shape in the middle that is not easily divided into triangles, rectangles, or trapezoids.

The third attachment shows a semicircle, a pentagon, and two triangles. The pentagon is <em>not a regular pentagon</em>, so might require further decomposition in order to determine its area.

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4 years ago