What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable to each box ​

Answers

Answer 1

Answer:

[tex]y=-\frac{2}{3}x+2[/tex]

Step-by-step explanation:

[tex]2x+3y=6\\\\2x+3y=6\\\\2x-2x+3y=6-2x\\\\3y=6-2x\\\\\frac{3y=6-2x}{3}\\\\ y=2-\frac{2}{3}x\\\\ \boxed{y=-\frac{2}{3}x+2}[/tex]

Hope this helps.


Related Questions

Sally deposits $4,000 in a certificate of deposit that pays 2.12% simple interest. What is her balance after one year?

Answers

Answer:

4084.80

Step-by-step explanation:

Interest = Principal * Interest * Time

             = 4000 * 0.0212 * 1

             = 84.8

balance = deposit amount + interest

             = 4000 + 84.8

             = 4084.80

Based on then information given her balance after one year is: $4048.80.

Using this formula

A = P (1 + r)^t  

Where:

A=Amount=?

Principal=$4,000

r=Interest rate=2.12% or 0.0212

t=time=1 year

Let plug in the formula

A=4000(1 + 0.0212)^1

A= 4000(1.0212)

A= $4048.80

Inconclusion her balance after one year is: $4048.80.

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help me answer this question in the picture :)))

Answers

Answer:

x = 15p

-75

Explanation:

remove brackets:

4px + 4 = 64

solving for x --> 4px = 64 - 4 then--> 4px = 60

then diving both sides by 4p --> x = 60\4p --> x = 15p

now solving for x when p is -5

we will substitute the -5 in the equation we got --> x= 15 (-5)

which will give us --> x = -75

4(px + 1) = 64
The value of x in terms with p is: 3.
The value of x when p is -5 is: -3

Explanation: 64 divided by 4 equals to 16. So whatever p and x are has to equal to 15 (because there’s a +1). So it’s naturally be 5 times 3 which is 15. P standing for 5 and x standing for 3. The first one just asks what x is, and it’s 3. And the second one asks what x would be if it was -5 instead of 5. So naturally it would be -3 because a negative times a negative is a positive and the answer we have is a positive. The first answer is 3 and the second is -3.

Mae Ling earns a weekly salary of $315 plus a 6.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,100 worth of merchandise?

Answers

Answer:

$561

Step-by-step explanation:

4100 x0,06=  246

246+315=561

A video uploaded had 15 'up votes'. If the ratio of 'up votes' to 'down votes' was 3 : 1, how many 'down votes' did the video get?

Answers

Answer:

I think it's 5 down votes

The result of adding 1 to 5 times a number is 31. Find the number

Answers

Answer:

5 times 6 plus 1 is equal to 31. so the answer is 6

Step-by-step explanation:

5*x+1=31

31-1=30

30/5=6

Answer: 6

Step-by-step explanation: The equation is 5x+1=30

-1 -1

5x=30

X=6

. Maggie is participating in her school reading challenge. She reads 40 books, 26 of which are fiction. What percent of the books that she read are fiction?


ASAP!!!

Answers

Answer:

65%

Step-by-step explanation:

26/40 x 100= 65%

hope this helps!

f(x)= (x - 1)^2+2

Graph the function and identify the axis is symmetry

Answers

Answer:

f(x)= (x - 1)^2+2 = 1

Step-by-step explanation:

Write F ( x ) = ( x − 1 ) 2 + 2 as an equation.

y=(x−1)2+2

Use the vertex form, y = a ( x − h )^2 + k , to determine the values of a , h , and k .

a = 1

h = 1

k = 2

Since the value of a is positive, the parabola opens up. Opens Up

Find the vertex ( h , k ) .

(1,2)

Find p , the distance from the vertex to the focus.

[tex]\frac{1}{4}[/tex]

( 1, [tex]\frac{9}{4}[/tex] )

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x = 1

I hope this helps.

2x^2+6x+3=0
Solve for quadratic formula

Answers

Answer:

x= (-3 +- sqrt3)/2

Step-by-step explanation:

Exact Form:

x=(-3± √ 3)/2

Decimal Form:

x = − 0.63397459 … , − 2.36602540 …

Help me ASAP please!!!

Answers

Answer:

30 centimeters

Step-by-step explanation:

You have to find the scaling of the lengths first, and to do that, you divide the 20 by 8, which would be 2.5. After, you multiply 2.5 by 12 to get your answer.

Answer:

30

Step-by-step explanation:

20 divided by 8 is 2.5, so you know that the triangle expanded by 2.5.

Multiply the small triangle's length by 2.5 to get your answer of 30.

Arrange the numbers in increasing order.

3.049 3.059 3.05 3.04

Answers

Answer 3.04, 3.049, 3.05, 3.059

Explanation: Im guessing increasing order is least to greatest so its 3.04 to 3.049 to 3.05 to 3.059

1 3/5 plus 2 1/15 as a mixed number. Plz answer

Answers

Answer:

4

Step-by-step explanation:

Answer: 3 4/5

Step-by-step explanation:

Hope this helps, mind giving me the brainliest? :)

144 students enter a spelling bee, but only \frac{1}{6}
​6

​1
​​ of the group will make into the semi-final round, and only \frac{2}{3}
​3

​2
​​ that group will make into the final round. How many students will enter the final round of the spelling bee?

Answers

Answer: 16 students will enter the final round of the spelling bee.

ILL MAKE BRAINLIEST PLEASE HELP

Answers

Answer:

no you can only use side side side when all of your triangles are equilateral triangles

Step-by-step explanation:

Data Set A has a mean of 215 and a standard deviation of 35. Data Set B has a mean of 400 and a standard deviation of 12.
Which data set is more spread out?

Answers

Answer:

Data set A

Step-by-step explanation:

Data set A is the one that is more spread out.

The mean is the same as the average of a given sample. It is usually a measure of the central tendency of a data set.

Standard deviation is a measure of the spread of a given set of data.

The lower the value of the standard deviation, the more clustered around the mean a data is. Data is spread out if it has a higher value of standard deviation.

Since data set A has a standard deviation of 35, it the most spread out.


Need help ASAP!!


How many points do you need to know to draw the graph of a direct proportionality? which are?

Answers

54 square feet
9x6 = 54
B x h = a
Base x height = area

Help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

w - 7 < -22

Step-by-step explanation:

Answer:

w - 7 < -22

Step-by-step explanation:

This should be correct. Let me know!

The points represented by the table lie on a line.
Х
- 4
-3
-2
-1
y
2.
-5
-12
-19
What is the slope of the line?

Answers

-7 is the slope! Hope this helps!

The points represented by the table lie on a line, then the slope of the line would be; 3.

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Since the Slope of parallel lines is the same. Slopes of perpendicular lines are negative reciprocals of each other.

Using any two pairs from the table of values given which are; (-4, 2) and (-3, 5):

[tex]m = \dfrac{y-q}{x-p}[/tex]

Now Plug the value into the slope formula:

m = (5 - (-4))/ (5 - 2)

m = 9/3

m = 3

Therefore, the slope of the line would be; 3.

Learn more about slope here:

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HELP GUYS WUICK PLEASE

Answers

The answer would be...

f(x) = 3x -5

Sorry if I am wrong
i think it’s f(x) = 3x-5

PLEASE! I WILL GIVE BRAINLIEST THIS IS DUE TONIGHT! Alicia analyzes the quadrilaterals shown on the coordinate plane. Which equation could Alicia use to show that these two shapes are congruent?

Answers

I think it’s A because it’s not supplementary I’m not sure

Which expression is the simplest form of 5(2x - 3) - 3(x + 4) / 9

A. 7x - 3

B. 7x - 27/9

C. 7x - 3

D. 13x - 27/9 ​

Answers

Answer:

The answer is B.

Step-by-step explanation:

The simplified expression is  7x - 27/9

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

5(2x - 3) - 3(x + 4) / 9

=10x-15-3x-12/9

=10x-3x-15-12/9

=7x-27/9

Learn more about expression here:

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What is the second set of period called

Answers

They are called commas after periods the second set

Round 43,846 to the nearest thousand.

Answers

44000 im pretty sure

How do you solve
6⋅1/3x+6⋅1/2=2x+3

Answers

Answer:

x = -3/2, 1

Step-by-step explanation:

1. Use Rule of One

2. Take out the constants

3. Simplify 6/3 to 2

4. Use the product rule

5. Simplify

6. Move all terms to one side

7. Simplify

8. Split the second term

9. Factor out the common terms

10. Factor out the common term (again)

11. Solve for x

How do you simplify a radical?

Answers

Answer:

[tex]\huge\boxed{\texttt{See Explanation}}[/tex]

Step-by-step explanation:

In order to simplify a radical, we're looking for a perfect square within that number.

Say we have [tex]\sqrt{108}[/tex].

We're looking for two numbers, where

1. We can easily find the square root of the first number

2. When we multiply that number by the second, we get 108.

We can experiment with numbers for 108. We know that [tex]36 \cdot 3 = 108[/tex], so we can form this statement now.

[tex]\sqrt{108} = \sqrt{36 \cdot 3}[/tex]

We know the square root of 36 is 6. Therefore, we can put this outside the square root sign and leave 3 inside.

[tex]\sqrt{36} = 6\\6\sqrt{3}[/tex]

Hope this helped!

Please help me with this!! 18 points!!

Answers

Answer:

Step-by-step explanation:

20 is    8x8^5=262144   (8x8)^5= 1073741824 so they are not the same

21 is     (3^2)^-3 = 0.001372   (3^3)^-2=0.001372 THEY ARE NOT THE SAME

okay thats

all i got its a bit hard to read for me sorry

Mrs. Smith earns $3500 a month. She saves $280 a month. Savings is what percent
of her income?

Answers

Answer:

6 to 8 percent

Step-by-step explanation:

How do I simplify (6x-10x^2+3)-(5x^2+3x-4) ???

Answers

Answer:

Step-by-step explanation:

6x-10x^2+3-(5x^2+3x-4)

when there is a - in front of an expression in (), change the sign of each term in the expression

6x-10x^2+3-5x^2-3x+4

now collect like terms

3x-10x^2+3-5x^2+4

3x-15x^2+3+4

3x-15x^2+7

now use the commutative property to reorder the terms

-15x^2+3x+7

=-15x^2+3x+7

What is the additive inverse of the number 3?
3
0
-3
6

Answers

-3 because it’s the opposite lol

Answer:

-3

Step-by-step explanation:

The additive inverse of a number means that the sum of the number, and it's additive inverse will always be zero. The additive inverse is found by simply negating a number or making it opposite.

Therefore, 3 + x = 0, 3 - 3 + x = 0 - 3, x = -3. (x represents it's additive inverse)

Just keep in mind that finding it's additive inverse is usually the best way to do it.

Here are some ways to negate a number:

Zero subtracted by the number. (0 - n) not (n - 0).Multiplying or dividing the number by negative one. (n / -1 or n × -1)Subtracting a number by the second multiple of itself. (n - 2n) not (2n - n).

________________________________

-5t^2+10t+22 does the ball reach a height of 35m

Answers

Answer:

Step-by-step explanation:

35=-5t²+10t+22

5t²-10t+13=0

disc =b²-4ac=(-10)²-4×5×13=100-260=-160<0

t is imaginary.

So ball never reaches a height of 35 m

5) Rafael's goal is to average
20 points per game in his
basketball league. He has
scored 24, 18, 25, and 16
points in his first four games.
How many points will he
need to score in game 5 to
end up with a mean score of
exactly 20?

Answers

I’m not sure what the exact answer is but i hope this helps
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