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3 years ago

Which relations are functions? Select Function or Not a function for each graph.

Mathematics

2 answers:

Alina [70]3 years ago

8 0

A function will not have any repeating x values...it can have repeating y values, just not the x ones. Plus, a function will pass the vertical line test.

1st graph....not a function
2nd graph ..thats a function
3rd graph...not a function
4th graph....thats a function

alekssr [168]3 years ago

4 0

Answer: The graph (1) and (3) are not the graph of a function and only figure (2) and (4) shows the graph of a function.

Explanation:

A graph represents a graph of a function if the graph specifies the vertical line test.

Vertical line test states that the graph intersect each vertical line not more than one time. If the graph intersects any vertical line more that one time then it is not a graph of a function.

In figure (1) When we draw a vertical line on x = -3, then the curve intersects the line two times, therefore it is not a graph of a function.

In figure (3) When we draw a vertical line on x = 1, then the curve intersects the line two times, therefore it is not a graph of a function.

In figure (2) and (4) the curve and line will intersects all vertical line only one time, therefore figure (2) and (4) shows the graph of a function.

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A six-sided Fair number cubis rolled 100 times as part of an experiment. The frequency of the role of the number 3 is 20. W hich

Anastasy [175]

Answer:

The Theoretical probability is 1/6.

The experimental probability is 1/5

Step-by-step explanation:

Given

Rolls: 100

Outcome of 3 : 20

Required

Which of the options is true (See attachment for options)

From the attachment, we understand that the question requires that we calculate the experimental and theoretical probability.

The experimental probability (E) is calculated as thus:

$E = \frac{Outcomes}{Total\ Rolls}$

$E = \frac{20}{100}$

$E = \frac{1}{5}$

The theoretical probability (T) is calculated as thus:

A cube has 6 faces, one of which is the face 3.

So, T is:

$T = \frac{n(face\ 3)}{n(Total)}$

$T = \frac{1}{6}$

Hence, C is true

4 0

3 years ago

You start driving north for 24 miles, turn right, and drive east for another 10 miles. At the end of driving, what is your strai

yawa3891 [41]

Answer:

26 miles

Step-by-step explanation:

Given: 24 miles drive to north.

10 miles drive to east.

Driving pattern form a right angle triangle, which has three leg including straight line distance from starting point (hypotenous).

Now, using Pythogorean theoram to find straight line distance from starting point.

h²= a²+b²

Where, h is hypotenous

a is opposite leg

b is adjacent leg.

⇒h²= $24^{2} + 10^{2}$

⇒ $h^{2} = 576+100$

⇒ $h^{2} = 676$

Taking square root on both side, remember; √a²= ±a

⇒ $h=\sqrt{676}$

∴ $h= \pm 26$

Ignoring -26 as distance cannot be negative.

Hence, 26 miles is the straight line distance from starting point.

8 0

3 years ago

10 2/6 - 7 5/6 i know its prob easy but i need help

miv72 [106K]

Answer: 2 1/3

Explanation:

10 2/6 - 7 5/6

You can make both a fraction by multiplying the denominator by the whole number, and then adding the numerator to that number, and keeping the denominator the same. So, 10*6 = 60 and 60 + 2 = 62 and you keep the denominator as 6, which would make 62/6

7*6 = 42 and 42 + 5 = 47 so 7 5/6 becomes 47/6

10 2/6 is equivalent to 62/6

7 5/6 is equivalent to 47/6

This just makes it easier to look at.

Now you just work through the equation.

62/6 - 47/6 = 15/6

15/6 = 2 3/6 = 2 1/3

3 0

3 years ago

For the direct variation such that when y = 2 then x = 3 , find the constant of variation ( k) and then find the value of y when

Sergeu [11.5K]

Answer:

k is 2/3 and y is -1/3 when x is -0.5.

Step-by-step explanation:

The direct variation relationship is y = kx, where k is the const. of var.

Subbing 3 for x and 2 for y, 2 = 3k, or k = 2/3.

Now, if x = -0.5, y = (2/3)(-1/2) = -1/3

k is 2/3 and y is -1/3 when x is -0.5.

8 0

2 years ago

Could some please help me with these two

damaskus [11]

Answer:

Step-by-step explanation:

(-m)^(-3) = -m^3, since (-1)^-3 = 1 / (-1).

If m = 2 then we have -2^(-3), or -1 / [2^3]), or -1/8.

Finally, if n = -24, the original expression becomes

(-1/8)(-24) = +3

Second problem: Only the first expression simplifies to a negative result.

4 0

3 years ago