The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function?
Answers
You can use the definition of a function to classify which mapping is a function and which mapping is not a function.
The first group is not a function as there are two outputs for 0
The second group is a function as there are single output to each input.
What is a function?There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.
Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.
So, for a mapping to be function, we need each input to be mapped to only one output.
Using above definitionFor group 1, we see that 0 has output 1 and output 5 both. Since for a mapping to be a function, we need each input to have single output, thus, this group doesn't represent a function.
For group 2, we see that each input has only one output, thus,this group represents a function.
Remember that we assumed that the pair of points were written as
(input, output)
Thus.
The first group is not a function as there are two outputs for 0
The second group is a function as there are single output to each input.
Learn more about functions here:
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Related Questions
Find the slope of the line below:
Answers
Answer:
[tex]\bold{m=-\frac{2}{5}}[/tex]
Step-by-step explanation:
Slope
First, we have to find two points that hit the graph at the right place:
[tex](0,4)[/tex]
[tex](10,0)[/tex]
Then, we plug the value into the slope formula:
[tex]\sf{Slope\:formula:\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{0-4}{10-10}[/tex]
Now, we can solve:
[tex]\frac{0-4}{10-0}\\\\=\frac{-4}{10}\\\\\bold{m=-\frac{2}{5}}[/tex]
Therefore, the slope of the line is [tex]-\frac{2}{5}[/tex]
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $1,000, annual interest: 6%, interest periods: 6, number of years: 14 more than the investment compounded annually.
After 14 years, the investment compounded periodically will be worth $ ____(Round to two decimal places as needed.)
Answers
After 14 years, the investment will be worth $ 2,306.72.
Given that an investment has a $ 1000 principal, 6% annual interest, 6 interest periods and 14 years of investment, to determine, after 14 years, how much the investment will be worth, the following calculation must be performed:
1000 x (1 + 0.06 / 6) ^ 14x6 = X 1000 x 1.01 ^ 84 = X 1000 x 2.3067 = X 2,306.72 = X
Therefore, after 14 years, the investment will be worth $ 2,306.72.
Learn more about maths in https://brainly.com/question/15603792
Help help help math math
Answers
Answer:
25%
Step-by-step explanation:
multiply it by 100 over 1 then divide the top by the bottom.
What is an equation of the line that passes through the points (-4, -5) and (-2, -6)?
Answers
Answer: [tex]y=-\frac{1}{2}x-7[/tex]
Ok done. Thank to me :>
The area of any rectangular shape is given by the product of its width and length. If the area of a particular
rectangular garden is given by A = 15x°-35x and its width is given by 5x, then find an expression for the
garden's length.
Answers
The expression that can be used to find the
garden's length is l = 5x(x - 7) / 5x where l = (x - 7)
Given:
Area of a rectangle = 15x² - 35x
Width of the rectangle = 5x
Length of the rectangle = l
Area of the rectangle = length × width
15x² - 35x = l * 5x
Factor out the left hand side
5x(x - 7) = l * 5x
Divide both sides by 5x
5x(x - 7) / 5x = l
x - 7 = l
Therefore, the expression that can be used to find the garden's length is l = 5x(x - 7) / 5x
Learn more about area of a rectangle:
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Algebra 1
What is the greatest possible error for a measurement of 4 inches?
inches
Answers
been trying for an hour, need help
Answers
Sin45degre = x divided by root 5
Answer:
[tex]\sqrt{\frac{5}{2} }[/tex]
Step-by-step explanation:
We know that this is a 45-45 triangle. Where there are two angles that are 45 degrees and the other angle is a right angle (90 degrees).
The sides are a, b (which equals a) and, c (which equals a*square root of 2).
In this triangle we are given c, and tasked at finding a. Since c= [tex]a*\sqrt{2}[/tex], then we know that, [tex]\sqrt{5}= a*\sqrt{2}[/tex]. Divide the equation by square root of 2 to find a. Which equals [tex]\sqrt{\frac{5}{2} }[/tex]
1985 x 99 I already know the answer: 196515
Answers
Answer:
196515
Step-by-step explanation:
Answer:
196515
Step-by-step explanation:
What is the value of x + y when x is the additive identity and y = 5?
O 5
O There is not enough information to determine the value.
O - 5
O 0
Answers
Answer:
-5.
Step-by-step explanation:
5 + -5 = 0, so i's -5.
Find the missing side in the similar figures below
Answers
Answer:
e
Step-by-step explanation:
24*5/3=40
help me with this question plz
Answers
Answer:
2
Step-by-step explanation:
you tell me true ya false
Divide 7 divided by 3/5
Express your answer in simplest form.
Answers
Answer:
35/5
Step-by-step explanation:
7/1 divded by 3/5. flip 3/5 to its reciprocal so it becomes 5/3, then times 7/1 by 5/3
Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number?
Answers
Answer:
First take 5 empty. Digits.The no of digits are 9 (1-9).The last no must be even so . The total no of even no’s . Are 4 (2,4,6,8)The probability of last digit is 4There are remaing 8 digits so. Place them where. U required. The probability are. 8, 7,6,5(no reputations)The final answer is 4*8*7*6*5=6720 waysAnswer:
0.444 (44.4%)
Step-by-step explanation:
All possible ending: 1,2,3,4,5,6,7,8,9 ... 9
ending with 2,4 6,8 to make even number: 4
___ ___ ___ ___ ___
even number : 8 * 7 * 6 * 5 * 4
All 5 digit without repeating: 8 * 7 * 6 * 5 * 9
possibility = (8*7*6*5*4) / (8*7*6*5*9)
= 4/9
= 0.444 (44.4%)
_______________________________________________
(4 * ₈P₄) / (9 * ₈P₄) = 4/9
ChallengE
See attachment and answer :)
Answers
[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
Answer :[tex]\displaystyle{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}[/tex]
Step-by-step-explanation:
We have given an expression.
We have to simplify the expression.
The given expression is
[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:4\:\sqrt{16\:\times\:3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
We know that,[tex]\displaystyle{\boxed{\pink{\sf\:\sqrt{a\:\times\:b}\:=\:\sqrt{a}\:\times\:\sqrt{b}\:}}\:\cdots\sf\:a\:,\:b\:\geq\:0}[/tex]
[tex]\displaystyle{\implies\sf\:4\:\sqrt{16}\:\times\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:4\:\times\:4\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
We know that,[tex]\displaystyle{\boxed{\blue{\sf\:\sqrt{\dfrac{a}{b}}\:=\:\dfrac{\sqrt{a}}{\sqrt{b}}\:}}\:\cdots\sf\:b\: > \:0}[/tex]
[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{\sqrt{1}}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{1}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:\dfrac{16\:\sqrt{3}\:\times\:2\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:\dfrac{16\:\times\:2\:\sqrt{3}\:\times\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}} \\ \\\displaystyle{\implies\sf\:\dfrac{32\:\times\:3\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:\dfrac{8\:\times\:4\:\times\:3\:-\:5\:+\:(\:6\:\sqrt{3}\:\times\:2\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:6\:\times\:2\:\times\:\sqrt{3}\:\times\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:12\:\times\:3\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:12\:\times\:3}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:+\:12\:\times\:3\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:(\:8\:+\:3\:)\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:\times\:11\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{132\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}\:\times\:\dfrac{\sqrt{3}}{\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{2\:\times\:3}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{6}} \\ \\ \\ \displaystyle{\therefore\:\underline{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}}[/tex]
what is the expression to 50 times the sum of 64 and 36
Answers
Answer:
50(64+36) this would be your answer
50 x (64+36)
Step-by-step explanation:
According to PEMDAS, you will have to solve 64 + 36 first, so you need to put them in the parenthesis. Next, simply multiply by 50.
1+3+5+...+X=441
X=?
Answers
Answer:
559
Step-by-step explanation:
According to the website www.olx.uz, monthly rent for a two-bedroom apartment has a mean of
$250 and a standard deviation of $100 in the city of Andijan. The distribution of the monthly rent does not
follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample
of 40 two-bedroom apartments and finding the mean to be at least $275 per month?
Answers
Using the normal distribution and the central limit theorem, it is found that there is a 0.0571 = 5.71% probability of selecting a sample of 40 two-bedroom apartments and finding the mean to be at least $275 per month.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of $250, hence [tex]\mu = 250[/tex].The standard deviation is of $100, hence [tex]\sigma = 100[/tex].The sample is of 40 apartments, hence [tex]n = 40, s = \frac{100}{\sqrt{40}}[/tex].The probability of selecting a sample of 40 two-bedroom apartments and finding the mean to be at least $275 per month is the p-value of Z when X = 275, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{275 - 250}{\frac{100}{\sqrt{40}}}[/tex]
[tex]Z = 1.58[/tex]
[tex]Z = 1.58[/tex] has a p-value of 0.9429.
1 - 0.9429 = 0.0571
0.0571 = 5.71% probability of selecting a sample of 40 two-bedroom apartments and finding the mean to be at least $275 per month.
You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213
14 divided 4 and 7/8 written in simplest form
Answers
Answer:
7 and that is its simplest form
Step-by-step explanation:
thank me later
Answer:
4
Step-by-step explanation:
14 ÷ 4 = 3.5
3.5 and 7/8 = 4
Convert the equation to polar form. (Use variables r and as needed.)
x2 − y2 = 12
Answers
In converting to polar coordinates, we take
x = r cos(t)
y = r sin(t)
Then in the given equation,
x² - y² = 12
(r cos(t))² - (r sin(t))² = 12
r² cos²(t) - r² sin²(t) = 12
r² (cos²(t) - sin²(t)) = 12
r² cos(2t) = 12
r² = 12 sec(2t)
PLS HELP HELLLLLOPPPPPP PLEASSSS BRO IM LITERALLY GONNA CRY
Answers
Answer:
F The last option
{ n = 7 h - 2}
{ n = 4 h - 2}
Step-by-step explanation: I HOPE THIS HELPS
Answer:
it's
n=2h+4
n=2h+7
(and vice versa)
The given represent 7 necklace and 4 necklace,that means add it to the no.of necklace they can make every hour and that is 2. So the correct equation is in the above answers.
Step-by-step explanation:
I hope it helps you a lot dude lovelots
#LEARN WITH BRAINLY
At the beginning of a basketball season, the Panthers won 20 games out of 80 games. At this rate, how many games will they win in a normal 100-game season?
games
Answers
The answer is 25
Hello can anyone help me with these problems please and ty
Answers
12. x= 4
13. x= 4
14. x= -1
Check the steps in the picture above
During a Lynx basketball game, the ratio of baskets made to baskets attempted was 2 to 3. The Lynx made 88 baskets. How many baskets did they attempt?
Answers
Type the correct answer in each box.
The slope of the line shown in the graph is ___, and the y-intercept of the line is ___.
Answers
Answer:
The slope (or gradient) is 0.6 and the y-intercept is 6.
WILL GIVE BRAINLIEST
Answers
Answer:
it is d
Step-by-step explanation:
I GIVE BRAINLEST !! PLS SLOLVE
Answers
Answer:
√6/2+1
Step-by-step explanation:
multiplying by √6/√6, we get √6(3+√6)/6=(3√6+6)/6=√6/2+1
The perimeter of the shape is
feet.
Answers
Answer:
This doens't realy make sense dude
need this soon please
Answers
Answer: pretty sure -7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
(-80) - (-10) is -79
-70 / (+10) = -7
Need help asap! I would appreciate it soo much if your answered.
Answers
Answer:
Step-by-step explanation:
The point of closest approach is on a line perpendicular to the zip line
perpendicular lines have negative reciprocal slopes, so the perpendicular line has slope (8/3)
y = (8/3)x + b
adding our known point (3, 16)
16 = (8/3)3 + b
b = 8
y = (8/3)x + 8
now find where the two lines intersect by solving two equations with two unknowns
y = (-3/8)x + 8
as the two lines have a common y intercept of 8, that is the common point
(0, 8)
The distance from (0, 8) to (3, 16) is
d = √((3 - 0)² + (16 - 8)²) = √73 = 8.5440037453...
d = 8.5 ft
2 2/7 multiplied by 5 1/6
Answers
Answer:
11 17/21
Step-by-step explanation:
Answer:
11 17/21
Step-by-step explanation:hope i helped