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Ostrovityanka [42]
2 years ago
6

Is the following relation a function, yes or no?

Mathematics
2 answers:
alekssr [168]2 years ago
8 0

The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.

✯the following is a function, so yes.

svetlana [45]2 years ago
8 0

Answer:

yes

Step-by-step explanation:

You might be interested in
Find the measures of two angles, one positive and one negative, that are coterminal with <img src="https://tex.z-dn.net/?f=%5Cfr
aleksandrvk [35]

Answer:

a. 11/5 pi; -9/5 pi

Step-by-step explanation:

Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).

From the example we can see that the following expressions must be fulfilled:

positive angle - reference angle = 360°

reference angle - negative angle = 360°

where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,

positive angle - pi/5 = 2 pi

positive angle = 2 pi + pi/5

positive angle = 11/5 pi

pi/5 - negative angle = 2 pi

negative angle = pi/5 - 2 pi

negative angle = -9/5 pi

5 0
2 years ago
The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can thi
pentagon [3]

Answer:

9,240 ways possible in which  this can be accomplished if there are 22 members on the board of directors.

Step-by-step explanation:

Total number of available members in the board = 22

The number of posts chosen are a president, a secretary, and a treasurer.

<u>For the Post of President:</u>

The number of available options to choose a president = 22  options

<u>For the Post of Secretary:</u>

As we can not repeat the members because one person CANNOT hold two positions simultaneously.

The number of available options to choose a secretary = 21  options

<u>For the Post of Treasurer:</u>

As we can not repeat the members because two person CANNOT hold three positions simultaneously.

The number of available options to choose a treasure = 20 options

Now, the  possible ways can this whole election be accomplished is the product of all possible options

= 22 option x 21 option x 20 option

= 9,240 ways

Hence, there are 9,240 ways possible in which  this can be accomplished if there are 22 members on the board of directors.

4 0
2 years ago
What is the value of 3 in 384?<br> Please explain?!
seropon [69]

Answer:uhhhhh 300

Step-by-step explanation:

I don’t really need to explain bc all u need to do is take the 80 and 4 away and u have only 300

3 0
2 years ago
What length is the shorter leg of a right triangle that has hypotenuse 50 in long and its perimeter is 112 inches?
Brut [27]
The length of the shorter leg is 14 inches.

We will set up two equations for this; first, for the perimeter.  We will call the legs a and b:

a + b + 50 = 112

Subtract 50 from both sides:
a + b + 50 - 50 = 112 - 50
a + b = 62

We will isolate a, so we can use substitution.  Subtract b from both sides:
a + b - b = 62 - b
a = 62 - b

Now we will set up our Pythagorean theorem equation:
a² + b² = 50²
a² + b² = 2500

We will substitute our value for a from the first equation into this one:
(62-b)² + b² = 2500
(62 - b)(62 - b) + b² = 2500

Multiplying the binomials, we have:
62*62 - b*62 - b*62 -b(-b) + b² = 2500
3844 - 62b - 62b + b² + b² = 2500

Combining like terms:
3844 - 124b + 2b² = 2500

To set it equal to 0 and solve, we subtract 2500 from both sides:
3844 - 124b + 2b² - 2500 = 2500 - 2500
1344 - 124b + 2b² = 0

In standard form, we have
2b² - 124b + 1344 = 0

Using the quadratic formula, 
\frac{--124\pm \sqrt{(-124)^2-4(2)(1344)}}{2(2)}&#10;\\&#10;\\=\frac{124\pm \sqrt{15376-10752}}{4}&#10;\\&#10;\\=\frac{124\pm \sqrt{4624}}{4}=\frac{124\pm 68}{4}=\frac{124+68}{4}\text{ or }\frac{124-68}{4}&#10;\\&#10;\\=\frac{192}{4}\text{ or }\frac{56}{4}=48\text{ or }14

The shorter leg is 14 and the longer one is 48.
8 0
3 years ago
Read 2 more answers
Help me and I will give you a brainlist and be your friend:).
Andrej [43]
41 x 0.15 = 6.15, which means only 6 bands will compete.

Hope this helps.
4 0
3 years ago
Read 2 more answers
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