Sheet 3
Functions - Ordered Pairs
A) State whether each set of ordered pairs represents a function.
1) {(0, 2), (15,-2), (3,7), (2,5),(-2,-4), (1,7), (-11,7)}
2) {(-11, -2), (20, 15),(-12,0), (19,-13)}
I
3) ((16,-4), (9,-1), (3,-2), (8, -1), (13,0), (-17, 16)}
4) {(-8, -13), (-7,3), (5, -9), (-7, 18), (4,3), (0, -10)}

Answer:

a) x = 492/738

b) m<p = 39°

   m<n = 141°

Step-by-step explanation:

Find the diagram attached

a) The sum of angle on the straight line l is 180degrees

m<n + m<p = 180 degrees

Given

<p = 21x+25

<n = (675x-27)/3

Substitute the given values into the formula

(675x-27)/3 + 21x+25= 180

[(675x-27+3(21x+25))]/3 = 180

675x-27+63x +75 = 180*3

675x+63x-27+75 = 540

738x+48 = 540

738x = 540 - 48

738x = 492

x = 492/738

b) m<p = 21x+25

m<p = 21(492/738) + 25

m<p = 14+25

m<p = 39°

Recall that m<p + m<n = 180

m<n = 180-m<p

m<n = 180 -39

m<n = 141°

Answer:

half a metre

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Because if you count from the tup to bottom their is 4 and if you count from top to right its 5 so its... 5 x 4.

IM NOT GOOD AT EXPLAINING ... CAN SOMEONE HELP ME EXPLAIN ?...

Answe my  uuuuuuttt

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

y = 6x + 104

Step-by-step explanation:

Given the equation in the form:

y = mx + b

m = slope ; b = intercept

Given the data:

5 days - $134 10 days - $164 15 days - $194 20 days - $224

To obtain the slope, Pick the points :

(5, 134) and (20, 224)

Slope = y2 - y1 / x2 - x1

Slope, m = (224 - 134) / (20 - 5) = 90 / 15 = 6

Plugging into the equation :

We have ;

y = 6x + b

Picking any point from the data and plugging in to solve for b:

(10, 164)

164 = 6(10) + b

164 = 60 + b

b = 164 - 60

b = 104

Equation finally becomes ;

y = 6x + 104

Answer:

5 yards

Step-by-step explanation:

1 yard = 36 inches

yard to inches = multiply by 36

inches to yard = divide by 36

180/36 = 5 yards

Answer:

x=26

y=116

Step-by-step explanation:

Answer:

Step-by-step explanation:

x8 y5

Answer:

A, and e

Step-by-step explanation:

Answer:

6 dollars

Step-by-step explanation:

40-10=30

30/5= 6

Answer: he bought 1 and 1/2 pounds of meat. (also could be written as 1.5 pounds)

Step-by-step explanation:

We know that Tim bought all of the two 3/4 lb packages for a party.

Then he bought 2 packages. Such that each package has  3/4 lb meat.

Then the total amount of meat that Tim has is equal to 2 times the amount of meat in each package, this is:

Total meat = 2*(3/4 lb) = (6/4 lb)

and we can write 6 = 4 + 2

then:

Total meat =  6/4  lb = (4 + 2)/4  lb = (4/4 + 2/4) lb = (1 + 1/2) lb

So he bought 1 and 1/2 pounds of meat. (also could be written as 1.5 pounds)

Answer:

brain

Step-by-step explanation:

brain to the fullest

Answer:

(x-2)(x-11)

Step-by-step explanation:

Answer:

(x - 2)(x - 11)

Step-by-step explanation:

We have a polynomial and are asked to factor it.

Polynomial : x^2 - 13x + 22

Usually a trick I follow when factoring is that for c (in this case 22). You need to find two numbers that will multiply to it. And for b (in this case -13) you will need to find two numbers that will add to it, the same numbers you multipled for c.

So

x * y = 22

x + y = -13

These two numbers are -11 and -2.

Answer:

$16.57

Step-by-step explanation:

15.49 increase 7% =

15.49 × (1 + 7%) = 15.49 × (1 + 0.07) = 16.5743

Answer:

1197.421

Step-by-step explanation:

I don't know how to explain. •-• Sorry!

Answer:

hehejejejjenene

Step-by-step explanation:

sjjshenebjsjsjwjjejenene .....

hope it helps

Answer:

slope is 0

y-(-8)=0(x-(-2))

y+8=0(x+2) no solution

Step-by-step explanation:

[tex]\frac{-8-(-8)}{8-(-2)} =0/10[/tex]

Answer:

please check explanations

Step-by-step explanation:

As we all know, i is same as root of -1

let us expand what we have;

(1 + i)^2

= 1(1 + i) + i(1 + i)

= 1 + i + i + i^2

as i is square root of -1, the square of the square root of -1 is -1

Thus, we have

1 + 2i - 1

= 2i

Answer:

Its red becasue 1/2 is greater than all of them

The most likely color of the marble that will be chosen is red.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Number of red marbles in the bag=1/2

Number of blue marbles in the bag=1/4

Number of green marbles in the bag=1/6

Number of yellow marbles in the bag=1/12

Now,

To determine the most likely color of the marble that will be chosen, we need to calculate the probability of selecting each color. The probability of selecting a red marble is 1/2, the probability of selecting a blue marble is 1/4, the probability of selecting a green marble is 1/6, and the probability of selecting a yellow marble is 1/12.

To compare the probabilities, we need to find a common denominator. The common denominator for 2, 4, 6, and 12 is 12. So, we can rewrite the probabilities as:

Probability of selecting a red marble = 6/12

Probability of selecting a blue marble = 3/12

Probability of selecting a green marble = 2/12

Probability of selecting a yellow marble = 1/12

Since the probability of selecting a red marble is the highest among all the colors, it is the most likely color to be chosen.

Therefore, by probability the answer will be red marble.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ5

Answer:

red is 3 and blue is 6 so 3:6

Step-by-step explanation:

Step-by-step explanation:

To estimate percentage I would round up the numbers to the nearest neat number? like 10 or 15 for example and then find the percentage of that number.

Answer:11.2

Step-by-step explanation:

Answer:

11.2

Step-by-step explanation:

Answer:

10×4 = 40

Given,

already travelled 15 miles

so,

40+15

55 miles

Therefore, The It travels 55 miles

Answer:

it ends in 3:25

Step-by-step explanation:

2:30+0:30=3:00

55-30=25

3:00+0:25=3:25

3:25

Answer:

look at the explanation

Step-by-step explanation:

hey hey. i’ll help you. sorry if this is long. :)

okay so let’s think about this. there’s a lot of extra information that we don’t need so let’s get rid of everything up to ”7 years”.

now.. she works 40 hours per week right? and she makes $2.13 per hour. so now that we have that, let’s think what 40 x $2.13 is. if you do the math right you should get 85.2 or $85.20. so that’s in one week, but then in a typical week sheserves 75 tables that have an average bill of $4q. so now that we have those numbers, we take 41 x 75 then add it to our weekly number. so we multiply the two together and we get 3075. not 30.75 but $3075.00! so take that and add it to 85.20.. you should get 3160.2, or $3160.20. but then typically an 18% tip, so let’s go back to the number before (41) and find what 18% of 41 is.

18% of 41 is 7.38 or in this case, $7.38. so once we have that, you’re gonna want to multiply 7.38 by 75 to get that total. if you do that you should get 553.5

okay.. now we have all the numbers we need. we’re already basically done, we just need to add the tips to the other total!

$3160.20 + $553.50 = $3713.70

so in a week, she makes $3713.70

i hope this helped you! good luck!

Answer:

Answer vary :

$85.20

Step-by-step explanation:

i did it on the question thing comments. And I’m super positive it’s right.

Answer:

C:Acute traingle

Acute traingle

I know this triangle is equilateral and acute, but I'm not sure what the third choice would be.

Answer:

me niether tbh

Step-by-step explanation:

Answer:

I believe it should come in the mail and online x