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3 years ago

Which of the sets of ordered pairs represents a function? (5 points)

Mathematics

2 answers:

Serjik [45]3 years ago

5 0

Answer:

Only A

Step-by-step explanation:

By using the definition of a function:

A special relationship where each input has a single output.

In relation A for each value of x as input we have a single output y

For x = 2, y = -2,

x = 5, y = -5

x = -2, y = 2

x = -5, y = 5

Where as in B for each value of x we have two value of y

For x = 4 we have 2 and -2

For x = 9 we have 3 and -3

This condition violates the definition of a function

erica [24]3 years ago

4 0

Answer:

The answer is A only

Step-by-step explanation:

The relation is a function if every x in each order pair has only one image of y means:

In set A

x = 2 has only y = -2

x = 5 has only y = -5

x = -2 has only y = 2

x = -5 has only y = 5

That means x not repeated

∴ Set A is a function

In set B

x = 4 has y = 2 and y = -2

x = 9 has y = 3 and y = -3

∵ x has more than one image in y

∴ Set B not a function

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What is the area of ABC?

notsponge [240]

Let D be the Intersection of Height of the Triangle and Base of the Triangle BC

From the Figure, We can notice that Triangle ADB is a Right angled Triangle.

We know that, In a Right angled Triangle :

$\bigstar$ (Hypotenuse)² = (First Leg)² + (Second leg)²

In Triangle, ADB : AB is the Hypotenuse, AD is the First leg and BD is the Second leg

Given : AB = 15 and BD = 9

Substituting the values, We get :

$:\implies$ (15)² = (AD)² + (9)²

$:\implies$ 225 = (AD)² + 81

$:\implies$ (AD)² = 225 - 81

$:\implies$ (AD)² = 144

$:\implies$ (AD)² = (12)²

$:\implies$ AD = 12

We know that, In a Right angled Triangle :

$\bigstar\;\;\boxed{\mathsf{Tan\theta = \dfrac{Opposite\;Side}{Adjacent\;Side}}}$

Now, Consider Triangle ADC : With respect to 45° Angle, AD is the Opposite Side and DC is the Adjacent Side

$:\implies \mathsf{In\;Triangle\;ADC,\;Tan45^{\circ} = \dfrac{AD}{DC}}$

$\mathsf{:\implies 1 = \dfrac{12}{DC}}$

$:\implies$ DC = 12

$:\implies$ Total Length of the Base (BC) = BD + DC

$:\implies$ Total Length of the Base (BC) = 9 + 12

$:\implies$ Total Length of the Base (BC) = 21

We know that, Area of the Triangle is given by :

$\bigstar\;\;\boxed{\mathsf{Area = \dfrac{1}{2} \times Base \times Height}}$

In Triangle, ABC : AD is the Height and BC is the Base

$:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = \dfrac{1}{2} \times BC \times AD}$

$:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = \dfrac{1}{2} \times 21 \times 12}$

$:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = (21 \times 6)}$

$:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = 126}$

7 0

4 years ago

An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die

Mice21 [21]

Answer:

$\Omega = \{ 1HH, 1HT, 1TH, 1TT, 2H, 2T, 3HH, 3HT, 3TH, 3TT, 4H, 4T,\\5HH , 5HT, 5TH, 5TT, 6H, 6T \}$

The probability is 3/12. The third option is correct.

Step-by-step explanation:

The sample space is

$\Omega = \{ 1HH, 1HT, 1TH, 1TT, 2H, 2T, 3HH, 3HT, 3TH, 3TT, 4H, 4T,\\5HH , 5HT, 5TH, 5TT, 6H, 6T \}$

Note that this sample space is not equally probable.

The probability of getting a given number followed is the probability of getting an even number from the 6 numbers (3/6) multiplied by the probability of getting a head after getting that even number, that is 1/2, because is equally probable to get heads or tails from one single coin toss (note that we are assuming that the dice was even, thats why there is a single coin toss).

Therefore, the probability of getting an even number and a head is

P( D in {2,4,6} , H = 1) = P(D in {2,4,6}) * P(H=1 | D in {2,4,6}) = 3/6 * 1/2 = 3/12.

5 0

3 years ago

Please sol ve this real quick

Kobotan [32]

Answer:

for question two: 12

for question four: 1/3

for question six: 25.75 (rounded to two decimal places)

8 0

3 years ago

Choose the symbol that compares the fractions 4/3 and 7/6 <,>,=

gulaghasi [49]

In order to compare them they need to have the same denominator. Which is 6

Multiply 4/3 by 2/2. You get 8/6

8/6>7/6

4/3>7/6

4 0

3 years ago

Read 2 more answers

I got 121 but im not sure if im right

Alexeev081 [22]

Answer:

is 121 ........

Step-by-step explanation:

Hope this help

7 0

3 years ago