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Andrej [43]
3 years ago
10

Which function has the greatest constant of variation? A x 8 9 10 11 y 20 22.5 25 27.5 B x 1 2 3 4 y 3.2 6.4 9.6 12.8

Mathematics
2 answers:
Tpy6a [65]3 years ago
6 0

Answer:

b the answer is b

Step-by-step explanation:

Lina20 [59]3 years ago
4 0

Answer : B x 1 2 3 4 y 3.2 6.4 9.6 12.8

WE analyze the first option A

x -- y -- Difference

8 -- 20

9 -- 22.5 -- 2.5

10 -- 25 -- 2.5

11 -- 27.5 -- 2.5

From the first function we can see there is a constant difference of 2.5.

We analyze the second option B

x -- y -- Difference

1 -- 3.2

2 -- 6.4 -- 3.2

3 -- 9.6 -- 3.2

48 -- 12.8 -- 3.2

From the second function we can see there is a constant difference of 3.2

3.2 is the greatest

So second function B has the greatest constant of variation.

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What is the standard form of the points (-3,4) (2,-6)
Bas_tet [7]

The standard form equation of the line connecting the two points is 2x +  y = -2

Linear equation in a standard form is given as Ax + By = C

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

where,

(x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)

Substitute

slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2

Step 2: Find the y-intercept (b) of the line by substituting (x, y) = (-3,4) and m = -2 into y = mx + b (slope-intercept form)

4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2

Step 3: Write the equation of the line in slope-intercept form by substituting m = -2 and b = -2 into y = mx + b

y = -2x + (-2)\\y = -2x - 2

Step 4: Rewrite the equation in standard form (Ax + By = C)

y = -2x - 2\\

Add 2x to both sides

2x + y = -2x - 2 + 2x\\2x +  y = -2

The standard form equation of the points (-3,4) and (2,-6) is 2x +  y = -2

Learn more about standard form of two points of a linear equation here:

brainly.com/question/18446164

6 0
3 years ago
A recipe for 8 apple dash cinnamon muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with
Brilliant_brown [7]

Answer:

you can make 14 muffins

Step-by-step explanation:

To get this answer you first need to know that 1 cup makes 8 muffins. Next know that there's 1 3/4 cups of flour. Because you know that 1 cup makes 8 muffins you need to figure out how many muffins 3/4 a cup of flour can make. To do this you divide 8 by 4. Hence 8 divided by 4 is 2. So know you know that for every 1/4 cup you can make 2 muffins. Now since there's 3/4 cup of flour you then multiply 2 by 3 which is 6. Now you have to add 1 cup ( 8 muffins) to 3/4 cup ( 6 muffins ) of flour which then equals 14. You then get the answer , 1 3/4 cups of flour can make 14 muffins. Hope this helped ;)

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It takes 8 people to clear an acre of weeds in 4 hours. How many acres can 16 people clear in 4 hours? How many acres can 2 peop
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Step-by-step explanation:

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