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3 years ago

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Think of a situation in the real world where a relationship occurs between two sets. For example, I could list several different

people and then list their birthdays. I could then form a relationship between these sets. First, illustrate the relationship using arrows. Then determine if the relationship is a function or not. State why?

1 answer:

Alla [95]3 years ago

8 0

Answer:

See Explanation

Step-by-step explanation:

Required

Determine if a real life situation is a function or not

I will give 2 instances

(1) Students and their ID

The relationship is as follows:

Student 1 -----> ID-1

Student 2 -----> ID-2

Student 3 -----> ID-3

Student 4 -----> ID-4

---------

----

--

Student n -----> ID-n

The above is a function because every student has a unique student ID.

In fact, the relation is a one-on-one function because no two students will have the same ID

(2) People and their year of birth

The relationship is as follows:

Person 1 -----> 2000

Person 2 -----> 2001

Person 3 -----> 2002

Person 4 -----> 2001

---------

----

Person n -----> 2005

The above is not a function because there is a possibility that a more than one person will have the same year of birth.

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BRAINLIEST ********

timama [110]

Answer:

$ 1249.6

Step-by-step explanation:

given,

cost of saddle = $534.00

riding chaps cost = $87.02

boots cost = $143.99

hat cost = $55.87

pairs of glove cost = $15.94

sales tax paid = 7.5%

Sam's lesson cost = $35.00 per lesson

number of lesson = 10

Total purchase cost

= $534.00 + $87.02 + $143.99 + $55.87 + $15.94

= $ 836.82

cost included sales tax

= 1.075 x $ 836.82

= $ 899.58

Cost of lesson = 10 x $35.00 = $350.0

Total cost of the Sam

= $ 899.58 + $350.0

= $ 1249.58

= $ 1249.6

7 0

4 years ago

So easy click on me!!! is this right

erastova [34]

Yes that is correct

8 0

3 years ago

Which table represents y as a function of x

melisa1 [442]

The answer Is G. So go with G

5 0

3 years ago

(b) In a sale the original prices are reduced by 15%.

Alona [7]

Answer:

(i): $10.20

(ii): $32:51

Step-by-step explanation:

(i) 1. put the percentage of the discount into a decimal: 0.15

2. multiply 0.15 by the sale price to find the amount of the discount: $1.80

3. subtract the discount, $1.80, from the original price, $12: $10.20

(ii) 1. put the percentage of the discount into a decimal: 0.15

2. multiply 0.15 by the sale price to find the amount of the discount: $5.74

3. subtract the discount, $5.74, from the original price, $38.25: $32.51

7 0

3 years ago

HELP, WILL MARK BRAINLIEST+100 POINTS. PLEEEEES Square EFGH is drawn on a coordinate plane. Diagonal FH is on the line y − 3 = n

vova2212 [387]

1) Slope of diagonal GE: 3

2) Equation of the line: $x-y=P-Q$

3) Slope of the line: 1

4) y-intercept: 4

Step-by-step explanation:

1)

Here the diagonal FH is given by the line with equation

$y-3=-\frac{1}{3}(x+9)$

This line is written in the form

$y-y_0 = m(x-x_0)$

where m is the slope of the line and $(x_0,y_0)$ are the coordinates of a point on the line.

Therefore, for line FH we have:

$m=-\frac{1}{3}$ (slope)

$(x_0,y_0)=(-9,3)$

Diagonal GE is perpendicular to diagonal FH (the diagonals in a square are perpendicular): this means that its slope must be equal to the inverse reciprocal of the slope of FH. THerefore, the slope of diagonal GE is

$m_{GE}=-\frac{1}{m_{FH}}=-\frac{1}{-1/3}=3$

2)

Two lines are said to be parallel when they have same slope.

Here, we see that the line given in the plot passes through the points

$(x_1,y_1)=(0,5)\\(x_2,y_2)=(-3,2)$

Therefore the slope of the line shown is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{0-(-3)}=1$

This means that also the line that we want to find must have slope of 1:

$m=1$

Now we can use the following form to write the equation of this line:

$y-y_0 = m(x-x_0)$

where:

$m=1$

$(x_0, y_0)=(P,Q)$ is the point that must be on the line

Therefore,

$y-Q=1(x-P)\\y-Q=x-P\\x-y=P-Q$

3)

In order to solve this problem, we have to find the slope of the side WV.

The coordinates of the two points are:

$V(a+5,b-1)\\W(a+3,b-3)$

Therefore, the slope of side WV is given by:

$m=\frac{y_W-y_V}{x_W-x_V}=\frac{(b-3)-(b-1)}{(a+3)-(a+5)}=\frac{-2}{-2}=1$

And we said that two lines are parallel if they have same slope: therefore, the slope of the line parallel to the line that contains side VW is also 1.

4)

The line given in this problem has equation:

$y=\frac{4}{3}x+1$

where

$m=\frac{4}{3}$ is the slope of the line

$q=+1$ is the y-intercept of the line

Here we want to find the line perpendicular to the given line and passing through the point (4,1).

A line perpendicular to the given one must have a slope which is equal to the negative of the reciprocal of the original one, therefore:

$m'=-\frac{1}{m}=-\frac{1}{4/3}=-\frac{3}{4}$

Now we can use the form

$y-y_0 = m'(x-x_0)$

and the coordinates of the point are

$(x_0,y_0)=(4,1)$

Substituting,

$y-1=-\frac{3}{4}(x-4)\\y-1=-\frac{3}{4}x+3\\y=-\frac{3}{4}x+4$

We have written the line in the form $y=mx+q$ , with $q=4$ : so the y-intercept is 4.

Learn more about parallel and perpendicular lines:

brainly.com/question/3414323

brainly.com/question/3569195

#LearnwithBrainly

5 0

3 years ago

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