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3 years ago

Which of the following is not a function

Mathematics

2 answers:

BartSMP [9]3 years ago

8 0

Answer:

The first graph (ellipse) is not a function.

Step-by-step explanation:

Consider the provided graphs.

We need to determine which is not a function.

The vertical line test can be used to determine whether a graph represents a function.

If the vertical line intersect the graph more than one point then the graph is not a function.

Now consider the figure 1.

The first graph intersect the vertical line 2 times.

Therefore, the first graph (ellipse) is not a function.

aleksandr82 [10.1K]3 years ago

4 0

Answer:

The ellipse is not the graph of a function.

Step-by-step explanation:

If you can draw a vertical line on the graph that intersects the graph in two or more points, the relation shown is <em>not a function</em>.

A vertical line will intersect the ellipse at two points (unless it is tangent to an end of the major axis), so the ellipse is not the graph of a function.

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Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0

3 years ago

If 111 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the c

VikaD [51]

Answer:

57 children

54 adults

Step-by-step explanation:

Let's call x the number of children admitted and call z the number of adults admitted.

Then we know that:

$x + z = 111$

We also know that:

$3.25x + 4z = 401.25$

We want to find the value of x and z. Then we solve the system of equations:

-Multiplay the first equation by -4 and add it to the second equation:

$-4x - 4z = -444$

$3.25x + 4z = 401.25$

----------------------------------

$-0.75x = -42.75$

$x =\frac{-42.75}{-0.75}\\\\x=57$

Now we substitute the value of x in the first equation and solve for the variable z

$57 + z = 111$

$z = 111-57$

$z = 54$

5 0

3 years ago

Read 2 more answers

The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two option

postnew [5]

Answer:

The equations that represent the reflected function are

$f(x)=5(\frac{1}{5})^{-x}$

$f(x)=5(5)^{x}$

Step-by-step explanation:

The correct question in the attached figure

we have the function

$f(x)=5(\frac{1}{5})^{x}$

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

$f(−x) = f(x).$

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative x-values)

$f(x)=5(\frac{1}{5})^{-x}$

An equivalent form will be

$f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}$

therefore

The equations that represent the reflected function are

$f(x)=5(\frac{1}{5})^{-x}$

$f(x)=5(5)^{x}$

9 0

3 years ago

Read 2 more answers

1 and 2 are complementary angles. 1 and 3 are vertical angles. If

Marizza181 [45]

If angle 1 and angle 2 are <u>complementary, </u>then they add up to 90 degrees. We are given that angle 2 equals 52 degrees.

So we subtract and get our answer:

That's NOT the final answer.

The next step is:

Angle 1 and angle 3 are vertical angles.

Vertical angles are congruent.

So if angle 1 is 38, then angle 3 is also 38.

Now, supplementary angles add up to 180 degrees.

So that's the answer:

180-38=142

142 is the supplement of angle 3.

Hope it helps! :)

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$***ROSALIND***$

8 0

3 years ago

0.0002077 in Scientific notation

Aloiza [94]

Answer: 2.077x10^-4

Step-by-step explanation:

7 0

3 years ago

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