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3 years ago

Does this graph represent a function?

Mathematics

1 answer:

kupik [55]3 years ago

5 0

Yes and the correct one is A

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Answer if u love cats & dogs

eimsori [14]

Answer:

(7, 5.25) lies on the graph.

Step-by-step explanation:

We are given the following values

x = 4, 6, 8, 12 and corresponding y values are:

y = 3, 4.5, 6, 9

Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.

Equation of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given as:

$y=mx+c$

where m is the slope.

(x,y) are the coordinates from where the line passes.

c is the y intercept.

Here,

$x_{1} = 4\\x_{2} = 6\\y_{1} = 3\\y_{2} = 4.5$

Formula for slope is:

$m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \dfrac{4.5-3}{6-4}\\\Rightarrow m = \dfrac{1.5}{2}\\\Rightarrow m = \dfrac{3}{4}$

Now, the equation of line becomes:

$y=\dfrac{3}{4}x+c$

Putting the point (4,3) in the above equation to find c:

$3=\dfrac{3}{4}\times 4+c\\\Rightarrow 3=3+c\\\Rightarrow c =0$

So, final equation of given function is:

$y=\dfrac{3}{4}x$

$4y=3x$

As per the given options, the point (7, 5.25) satisfies the equation.

So correct answer is $(7, 5.25)$ .

6 0

3 years ago

There is a walking trail at the park. Four laps around the trail is a distance of 1 mile. How many laps does it take to walk 3/4

ira [324]

Pretty Sure it is 3 laps. because if it is 4 laps = 1 mile. then 1/4 = 1 lap 2/4= 2 laps 3/4 = 3 laps and then 4/4 = 4 laps = 1 mile.

Hope this helps :)

4 0

3 years ago

Read 2 more answers

The coordinates of points A

Svetllana [295]

Answer:

Distance=13.60

Step-by-step explanation:

The Distance between the two points in coordinate system is find by using the distance formula.

If two points $(x_1,y_1)$ and $(x_2,y_2)$ are given:

$Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For the points:

$(-7, 5)\\ and \\(4, -3)$

$Distance=\sqrt{(4-(-7))^2+(-3-5)^2}\\\\ =\sqrt{(4+7)^2+(-8)^2} \\\\=\sqrt{11^2+(-8)^2} \\\\=\sqrt{121+64}\\\\ =\sqrt{185}\\\\ =13.60$

The distance between the points is 13.60

7 0

2 years ago

The quotient of the oppositeof 30 and 6,plus the opposite of 8

siniylev [52]

30 = 6 x 5
6 = 3 x 2
8 = 4 x 2

4 x 2 + 3 x 2 + 6 x 5 = 44

5 0

3 years ago

Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin. Use the polygon tool to graph

Nuetrik [128]

Answer:

(0,0), (-8,-8), (4,-8)

Step-by-step explanation:

(0 * 0, 0*0) = (0,0)

(-4*2,-4*2) = (-8,-8)

(2*2,-4*2) = (4,-8)

8 0

3 years ago

Read 2 more answers