MATHEMATICS MIDDLE SCHOOL

Determine the slope and intercepts for the line 2x+3y=6

Answers

Answer 1

Answer:

Answer:

slope is -2/3 and y-intercept is 2

Step-by-step explanation:

First, solve for y.

2x + 3y = 6 subtract 2x from both side

3y = 6 - 2x divide 3 on both side

y = (6 - 2x)/3 simplify

y = 2 - (2/3)x rearrange the values

y = -(2/3)x + 2

The formula come in the general form of

y = mx + b

where m is the slope and b is the y-intercept.

y = mx + b

y = -(2/3)x + 2

in your case, m=-2/3 and b=2

so the slope is -2/3 and y-intercept is 2

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Complete the following table by performing the following sequence of operations on the original number:Result of Sequence of Operations
Original Number
2
5
10
Multiply the number by 4
Add 12 to the product
Divide the sum by 2
Subtract 6 from the quotient
a. 4, 10, 20, 30
b. 1, 2.5, 5, 7.5
c. 2, 5, 10, 15
d. A5, 10, 15, 20

Answers

Option A - 4, 10, 20, 30 is the correct Alternative.

We have table.

We have to completely fill it by following sequence of operations on the original number.

What is Sequence of Operations?

In Mathematics, a sequence of operations is a sequence of calculations to solve, including numbers and operation symbols, with or without the presence of parentheses or other grouping symbols.

According to the question -

Original Number (n) →

Sequence Of Operations →

Multiply the number by 4.

Add 12 to the product.

Divide the sum by 2.

Subtract 6 from the quotient.

For n = 2 →

2 x 4 = 8

8 + 12 = 20

20/2 = 10

10 - 6 = 4

For n = 5 →

5 x 4 = 20

20 + 12 = 32

32/2 = 16

16 - 6 = 10

For n = 10 →

10 x 4 = 40

40 + 12 = 52

52/6 = 26

26 - 6 = 20

Hence, Option A is correct.

To solve more questions on Sequence of Operations, visit the link below-

brainly.com/question/18256183

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Answer:

The answer is B

Step-by-step explanation:

Mr.Rainer's car uses about 1.6 fluid ounces of gas per minute when the engine is idling. One night, he parked his car but forgot to turn off the motor. He had just filled his tank. His tank holds 12 gallons.About how many hours will it take before his car runs out of gas?

Answers

multiply 1.6 by 12 and it will give u your answer

Which algebraic expression is a polynomial?4x? - 3x + 2
6x2 + χ? - 5
8x2 + x
-2x +
Ο

Answers

$\text{A polynomial must have multiple terms in its expression}\n\n\text{That means we could eliminate the last answer choice automatically}\n\n\text{There are different types of polynomials, in which you could see that}\n\text{there is a trinomial in one of the answer choices}\n\n\text{Your best answer choice would be the 2nd one:}\,\,6x^2+x+5\n\n\text{This is because there are different terms and there are multiple of them}$

How are yards and feet related?

I know the answer now! (edited)

Answers

yards and feet are related because there are 3 ft. in a yd.

Hope it helped! (even though you don't need it anymore!) If it did not help tell me in the comment box below!

The Relationship Between Yards And Feet Is That 1 Foot Is 1/3 Of A Yard. In Other words, Yards Are 3 Times As Large As A Foot. I Hope This Helps!

What is 0.425 as a fraction simplified. Thank you :)

Answers

0.425 = 425⁄1000

then the fraction would be 425 over 1000

The answer would be 17/4.

9/10 divided by (1/10 plus 2/5)

Answers

$\boxed{ ( (9)/(10) )/(( (1)/(10) + (2)/(5) )) = ( (9)/(10) )/( (1)/(2) ) = (9)/(10) . (2)/(1) = (18^(/2))/(10^(/2)) ~\to~\boxed{ (9)/(5)} }$

1.8 is the answer

1/10+2/5 is equal to 0.5

That divided by 9/10 is 1.8 or 1 8/10

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