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3 years ago

Identify which table shows a direct variation

2 answers:

6 0

You can tell if it has direct variation by finding the slope and inserting it and the coordinates into point slope form.

You can find the slope by putting both sets of coordinates into the equation
y - y / x -x , where the first y and x are from one set of coordinates, and the next two are from the other set.

(7.5 - 3) / (11.25 - 4.5)
4.5 / 6.75
The slope is 2/3

Next, input the slope and the origin (0,0) into point-slope form.
y - y = m (x - x) Substitute.
y - 3 = 2/3 (x - 4.5) Distributive Property.
y - 3 = 2/3x - 8/15 Add 3 to both sides.
y = 2/3x + 37/15 Simplify.
y = 2/3x + 2 2/15

So you know that the line does not go through origin, because its y-intercept is 2 2/15.

For the second one do the same things.

y -y / x - x
(3 - 1.5) / (12 - 8)
1.5 / 4
3/8

y - y = m ( x - x )
y - 3 = 3/8 (x - 12)
y - 3 = 3/8x - 24/8
y = 3/8x - 0
y = 3/8x

So the second one goes through the origin because its y-intercept is 0. The answer is Table 2 has direct variation.

Juli2301 [7.4K]3 years ago

3 0

Answer:

You can tell if it has direct variation by finding the slope and inserting it and the coordinates into point slope form.

You can find the slope by putting both sets of coordinates into the equation

y - y / x -x , where the first y and x are from one set of coordinates, and the next two are from the other set.

(7.5 - 3) / (11.25 - 4.5)

4.5 / 6.75

The slope is 2/3

Next, input the slope and the origin (0,0) into point-slope form.

y - y = m (x - x) Substitute.

y - 3 = 2/3 (x - 4.5) Distributive Property.

y - 3 = 2/3x - 8/15 Add 3 to both sides.

y = 2/3x + 37/15 Simplify.

y = 2/3x + 2 2/15

So you know that the line does not go through origin, because its y-intercept is 2 2/15.

For the second one do the same things.

y -y / x - x

(3 - 1.5) / (12 - 8)

1.5 / 4

3/8

y - y = m ( x - x )

y - 3 = 3/8 (x - 12)

y - 3 = 3/8x - 24/8

y = 3/8x - 0

y = 3/8x

So the second one goes through the origin because its y-intercept is 0. The answer is Table 2 has direct variation.

Step-by-step explanation:

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On a coordinate plane, a curved line with a minimum value of (negative 1.25, negative 3.25) and a maximum value of (0.25, negati

soldier1979 [14.2K]

The statement which is true about the end behavior of the graphed function is third option that is as the x-values go to negative infinity, the function's values are equal to zero.

A coordinate plane is a two dimensional plane formed by the intersection of two number lines . One of these number lines is a horizontal number lines called the x-axis and the other number line is a vertical number line called the y-axis.

The exact answer is third option that is as the x-values go to negative infinity, the function's values are equal to zero.

Step by step explanation:

Minimum value (negative 1.25, negative 3.25)

Maximum value of (0.25, negative 1.75)

The x intercepts where the graph crosses the x axis.

Value of x when y=0 crosses x axis at (negative 2.25, 0)

The y intercept are where the graph crosses the y axis.

Value of y when x=0 crosses y axis at (0, negative 2)

The line exits the plane at (negative 2.75, 6) and (1.5, 6).

It can be seen from the coordinates that as the x-values go to negative infinity, the function's values are equal to zero, the coordinates of y approaches zero.

Learn more about coordinates from:

brainly.com/question/17206319

#SPJ10

8 0

2 years ago

Ana utiliza 3/4 de taza de jugo de china por cada 1/3 de taza de jugo de limon para preparar un refresco.¿Cual es la razon de ca

Mrac [35]

Answer:

9:4

Step-by-step explanation:

English

Ana uses 3/4 cup of china juice for every 1/3 cup of lemon juice to make a soda. What is the ratio of cups of china juice to cups of lemon juice?

<u>Solution</u>

To find the ratio of cups of china juice to cups of lemon juice, we divide

$\frac{3}{4}$

$\frac{1}{3}$ and simplify.

We set up the division as follows:

$\frac{3}{4} \div \frac{1}{3}$

Multiply the first fraction by the reciprocal of the second fraction.

$\frac{3}{4} \times \frac{3}{1}$

This gives us;

$\frac{3 \times 3}{4 \times 1}$

We then obtain:

$\frac{9}{4}$

Therefore the ratio of cups of china juice to cups of lemon juice is 9:4

4 0

3 years ago

padilas [110]

Answer:

x = 31

ROS = 62

Step-by-step explanation:

QOR + ROS = 90 degrees as indicated by the box

28+ 2x = 90

Subtract 28 from each side

2x = 90 -28

2x = 62

Divide by 2

2x/2 = 62/2

x = 31

ROS = 2x = 2*31 = 62

7 0

3 years ago

Read 2 more answers

What value of x makes the equation true?

soldier1979 [14.2K]

This one is easy.
<span>–8.6 = –4.1 + x
</span>
So, what you have to do is add 4.1 on both sides.
You do this because you want to get X alone. when you do,
-8.6+4.1=-4.5

X=-4.5
The answer is B

3 0

4 years ago

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The following set of coordinates represent which figure (1,1) (5,3) (7,7) (3,5)

igomit [66]

Answer:

It should be a rhombus :)

4 0

3 years ago