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2 years ago

Using the Vertical Line Test Which graph does not represent a function?

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

5 0

Using the Vertical Line Test, the graph does not represent a function is ellipse, the third graph.

<h3>What is vertical line test?</h3>

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function. It is done by visually examining the number of intersections of the curve with vertical lines.

Any vertical line in the x y plane must intersect the graph of a function at most once.

In the given graphs, the graph of a function intersects the y axis twice. So, it is not a function.

From the given graphs, the third graph which is of ellipse crosses the vertical line twice.

Thus, the graph does not represent a function is ellipse.

Learn more about vertical line test.

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The vector v has initial point P(1, 0) and terminal point Q that is on the y-axis and above the initial point. Find the coordina

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Answer:

The terminal point is Q(0,4)

Step-by-step explanation:

We are given the following in the question:

Initial point of vector, P(1,0)

The terminal point Q lies on the y-axis, thus Q have coordinates of the form:

$Q(0,y)$

The magnitude of the vector is $\sqrt{65}$

Magnitude is given by:

$v = \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}\\\sqrt{65}=\sqrt{(0-1)^2+(y-0)^2}\\\sqrt{65}=\sqrt{1+y^2}\\65 = 1+y^2\\y^2 = 64\\y = \pm 8$

But since the terminal point is above the initial point, thus,

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Thus, the terminal point is Q(0,4)

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3 years ago

There are 19 figure skaters in the Olympic women's competition, including 3 Americans. The gold medal goes to first place, silve

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There are three different choices for the American.

There are 16 different choices for the first non-American and 15 different choices for the other non-American.

So, there are 3 x 16 x 15 different groups.

But, order is important -- who gets the gold, who gets the silver, and who gets the bronze -- there are 6 different ways to arrange the 3 winners (3! = 6).

Thus, there are 6 x 3 x 16 x 15 different results.

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3 years ago

On average, a pair of bike tires can last 18 months if used every day. The length of time bike tires can last is exponentially d

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Answer:

We conclude that eighty percent of bike tires last at most 14.4 months.

Step-by-step explanation:

We know that a pair of bike tires can last 18 months if used every day.

We calculate how much eighty percent of the tire will last in months.

We have the following proportion:

$18:100\%=x:80\%\\\\100x=18\cdot 80\\\\100x=1440\\\\x=\frac{1440}{100}\\\\x=14.4$

We conclude that eighty percent of bike tires last at most 14.4 months.

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