9. Which of the following relations is a function?
A. {(-1, - 4), (-1,0), (- 1,5), (- 1, 7), (- 1,9)}
B. {(-2, - 4), (-1, 7), (1, - 1), (1, 1), (3, 9)}
C. {(-4, 9), (- 3, 1), (- 2, 3), (- 2, 12), (0, 6)
D. {(0, - 4), (1, - 4), (2, 4), (3, 4), (4, - 4)}
Answers
The relation which is a function is given by the set relation
A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Let the values of x be x = { 0 , 1 , 2 , 3 , 4 }
Now , the values of y = { 4 , -4 , 4 , 4 , -4 }
And , relation is a function if and only if there exists one value in the range for every domain value.
So , the domain are all having significant and definite ranges
Therefore , the relation is A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
Hence , the function is denoted by A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
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Related Questions
Simplify the expression
14(n − 3) + 5(n - 6)
Answers
[tex]\bold{14(n-3)+5(n-6) }[/tex]
[tex]\sf{[(14\times n)-(14\times 3)]+[(5\times n)-(5\times 6)] }[/tex]
[tex]\longrightarrow \bold{14n-42+5n-30 }[/tex]
[tex]\longrightarrow \bold{ 14n+5n-42-30 }[/tex]
[tex]\longrightarrow \bold{19n-42-30 }[/tex]
[tex]\dashrightarrow\bold{19n-72 }[/tex]
D 7. What are two different ways to name the line below? Explain how you know
Answers
Answer:
[tex] \overleftrightarrow{GI} [/tex]
[tex] line m [/tex]
Step-by-step explanation:
We can decide to make the line by using the two points of the line only. Thus, the two points are G and I. We can name the line as [tex] \overleftrightarrow{GI} [/tex]
We can also simply call the line with a letter in small caps. Thus, the line can be called [tex] line m [/tex]
Simplify
(45x6y%) = (5x4y2
Answers
Answer:
0 would be your anwswer
Step-by-step explanation:
John and Lucy take turns rolling two dice. If John rolls a pair larger than or equal to 10 he wins and the game stops. If Lucy rolls a pair strictly smaller than 10, she wins and the game stops. They keep rolling in turn until one of them wins. Suppose John rolls first. What is the probability that Lucy wins
Answers
Answer:
56.25%
Step-by-step explanation:
If John rolls first and Lucy rolls second, in order to find the probability that Lucy wins we need to multiply the probability that John's roll is less than 10 by the probability that Lucy's roll is less than 10. There are a total of 12 possible outcomes that can occur in a pair of dice, therefore John's probability of rolling less than a 10 would be [tex]\frac{9}{12}[/tex] which would also be the same probability of Lucy rolling smaller than a 10. Now we simply multiply this probability by itself...
[tex]\frac{9}{12} * \frac{9}{12} = \frac{81}{144}[/tex] or 0.5625
We can multiply this decimal by 100 to get the percentage probability
0.5625 * 100 = 56.25%
The probability of Lucy winning the game is 56.25%
The amount of cases in Gotham city is 540
people for the first 12 of 2020. In July, a spike at the rate
of 5.2 people for each day in the month hits. Additionally, the
joker has infected all of Arkham Asylum's 225 patients with the
virus. What month will you hit 1,000 cases of cases in Gotham?
Answers
Answer: October, the 10th month
Step-by-step explanation:
540/12 = 45[with this in mind , we can assume that this is how many people get infected per month, except for July, and some factors.]
July is special for it not only has the specific unqiue rate of 5.2 infections per day. with this in mind, lets multiply....
5.2 x 31 = 161.2And to top it off, we have another 225 infections to consider.
So with consideration of 161.2, 225, 540, and the fact that 45 people get infected on an average month, lets add....
161.2 + 225 + 540 = 926.2
926.2 + 45 = 971.2
971.2 + 45 = 1016.2
It only took until the 10th month of october to hit 1000.
A package of 11 slices of cheese costs $2.97. How much would a package with 18 slices cost at the same price per slice?
Answers
Answer:
$4.86
Step-by-step explanation:
2.97/11= .27 .27x18= $4.86
Simplify (3^5)^2/3^-2
Answers
Answer:
the answer would be 531441
Step-by-step explanation:
Answer:
531441
Step-by-step explanation:
please help! im failing and i really need help!
Answers
Multiply (5 + 4i)(3+ 2i)
Answers
Answer:
45
Step-by-step explanation:
Answer:
7 + 22i
Step-by-step explanation:
hope this helps
PLEASE HELP ASAP AND ONLY DO IT IF U KNOW HOW TO IM GIVING BRAINLIEST
Match each line to the correct equation.
Coorindate grid. Lines l, m, n, p.
Group of answer choices
Line l (red line)
Line m (black line)
Line n (green line)
Line p (blue line)
Answers
Answer:
Line l (red line): y=4
Line m (black line): y=-2x+4 or y=4-2x
Line n (green line): y=x-1
Line p (blue line): x=-4
Step-by-step explanation:
Line l (red line):
Line l is horizontal. Horizontal lines have y equal to a constant, in this case 4.
y=4
Line m (black line):
Find slope using two points (0,4) and (2,0)
(y2-y1)/(x2-x1)
(4-0)/(0-2)
4/-2
-2
y=mx+c, where m is the slope and c is a number
y=-2x+c
sub in a point (eg (-1,6))
6=-2(-1)+c
6=2+c
c=4
y=-2x+4 or y=4-2x
Line n (green line):
Find slope using two points (3,2) and (2,1)
(y2-y1)/(x2-x1)
(2-1)/(3-2)
1/1
1
y=mx+c, where m is the slope and c is a number
y=1x+c
y=x+c
sub in a point (eg (1,0))
0=1+c
c=-1
y=x-1
Line p (blue line):
X value is constant at -4. x=-4
solve,,,,,,c-2= -1
please help !!!
Answers
add two to both sides
c=1
Answer:
c=1
Step-by-step explanation:
add 2 to both sides
c-2+2=-1+2
then simplify
PLEASE HELP IM BEGGING PLEASE!!!!!!!!!!
Answers
Answer:
1. C.
2. B.
Step-by-step explanation:
Hope This Helps!!! : )
Pretend your friend is struggling to solve equations and has asked you for help.
Describe how you would solve the equation below for y: 5(3y - 2) + 6y = 11
Answers
Multiply 5 with what is in the brackets =15y - 10 + 6y= 11
Add the numbers 15y and 6y
21y2 - 10= 11
Minus 10 from 21
11y2to the power 2
Divide by y
Therefore answer will be 11
Y =11
According to the table, if a married couple filing jointly earns $67,400, what will their taxes be to the nearest dollar?
A): $10,470
B): $10,590
C): $11,150
D): $11,320
Answers
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Dont worry about what I type hear the answer is C
The price of an item has been reduced by 80%. The original price was $25. What is the price of the item now
Answers
Answer:
$5
Step-by-step explanation:
25-80%=5
4^4= pls i need some help
Answers
Hey there!
4^4
= 4 • 4 • 4 • 4
= 4 • 4 ➡️ 16
= 16 • 16
= 256
Answer: 256 ☑️
Good luck on your assignment and enjoy your day!
~ Amphitrite1040:)
Study the pattern in the equations. Use your observations to solve the equation for a. Express your answer in terms of
log4x 2^a = 3
Answers
Answer:
(log64x³) / 2 log = a
Step-by-step explanation:
Given the equation :
log4x 2^a = 3
Recall: If :
loga b = c becomes ; a^c = b
log4x 2^a = 3 ; becomes ; (4x)^3 = 2^a
4^3 * x^3 = 2^a
64x^3 = 2a
log64x³ = log 2a
log64x³ = 2 log a
Divide both sides by 2 log
(log64x³) / 2 log = 2 log a / 2 log
(log64x³) / 2 log = a
The varsity of girls' basketball team has a ratio of seniors to juniors that 3 to 2. If there are 6 juniors how many seniors are on the team
Answers
Answer:
I think its 9
because seniors=3 and juniors=2 so, if there are now 6 juniors there would also be 9 seniors considering all they did was multiply by 3
A local stadium seats 27,250 fans. For a special event, 12% of the seats were reserved for students. What
was the total number of seats reserved for students?
Answers
Answer:
3270
Step-by-step explanation:
You are building a doghouse for Fido, your loyal poodle. The blueprint of the doghouse uses a scale of 1 : 14. The floor of the doghouse measures 2" x 2.5" on the blueprint. b) The wood you are using for the floor costs $3.50 per square foot. How much will it cost to buy the material for the floor, assuming you can buy a piece exactly the right size? Show your work.
Answers
Neuroinvasive West Nile virus is a severe disease that affects a person's nervous system. It is spread by the Culex species of mosquito. In a particular region in 2010 there were 629 cases of neuroinvasive West Nile virus out of a total 1,021 cases in a sample, and there were 486 neuroinvasive cases out of a total of 712 cases in a sample in 2011. Is the 2011 proportion of neuroinvasive West Nile virus cases more than the 2010 proportion of neuroinvasive West Nile virus cases
Answers
Answer:
Yes, the 2011 proportion of neuroinvasive West Nile virus cases is more than the 2010 proportion of neuroinvasive West Nile virus cases.
Step-by-step explanation:
2010 proportion:
629 cases out of 1021. So the proportion is:
[tex]p = \frac{629}{1021} = 0.616[/tex]
2011 proportion:
486 cases out of 712. So the proportion is:
[tex]p = \frac{486}{712} = 0.683[/tex]
0.683 > 0.616 so the 2011 proportion of neuroinvasive West Nile virus cases is more than the 2010 proportion of neuroinvasive West Nile virus cases.
Answer:
for ppl with edge its c
Step-by-step explanation:
edge 2022
Factorise fully 3m+12
Answers
Answer:
The answer is 3(m+4)
hope it helps..
Answer:
Step-by-step explanation:
3(m+4)
Five friends earn a total of $50 doing yard work in their neighborhood. Each friend earns the same amount. Use the equation 5f = 50 to find f, the amount that each friend earns. _______________________
Answers
Answer:
Each friend earned 10 dollars. 50÷5=10
What is the mean of the data set 14, 12, 23, 15?
Answers
Answer:
16
Step-by-step explanation:
(14+12+23+15)÷4=16
Answer:
16
Step-by-step explanation:
Hope this help
A right triangle has legs with lengths of 10 and 24 inches. If the midpoints of all three sides of this triangle were connected, the resulting right triangle would have a hypotenuse with a length of?
(1) 5 inches
(2) 8 inches
(3) 12 inches
(4) 13 inches
Answers
Hope this helps
The resulting right triangle would have a hypothenuse with a length of; 13 inches.
According to the question;
We are required to length of the resulting right triangle when the midpoint of all three sides of this triangle were connected.The two legs given have lengths; 10 and 24 inches.
When the midpoints are connected, the new right triangle would then have legs; 5 and 12 inches.
Therefore, from Pythagoras theorem;
Hypothenuse length,
l = √(12² + 5²)l = √169l = 13 inches.
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Anthony has 46 pieces of gum and eats 2 pieces per day. Javier has 54 pieces of gum and eats 3 pieces of gum each day. In how many days will Anthony and Javier have the same amount of gum?
Answers
Because
D1 :46 / 54
D2 : 44 /51
D3: 42/48
D4:40/45
D5:38/42
D6:36/39
D7:34/36
D8:32/33
D9:30/20
Answer:
in 9 days
Step-by-step explanation:
..
Find the unit rates. 4 ounces for $5.89
Answers
Answer:
Around $1.47
Step-by-step explanation:
To find the unit rate you need to have a denominator of one. (5.89/4 = x/1)
All you have to do is divide 5.89 by 4 and you get 1.4725 and if you round that to the nearest 100th place you get 1.47.
So 1 once cost $1.47
I hope this helps, and have a great day!
there is a college student who wants to buy apples from the local store. the store generally sells about 5 apples for every 2 customers they serve. About how many apples will they sell in 6 hours if they serve 10 customers every hour?
Answers
Which of the following descriptions best defines the term logistic growth?
A. A type of growth that is exponential at first but slows as the
amount reaches a certain maximum value
B. A type of growth that is linear at first but slows as the amount
reaches a certain maximum value
C. A type of growth that is linear at first but slows as the amount
reaches a certain minimum value
D. A type of growth that is exponential at first but slows as the
amount reaches a certain minimum value
Fr
Answers
Which equation represents a line with a slope of -8 and
a y-intercept of 4?
y = -8x4
y = - 4x +8
y = -8x4
y = 8x+4
Answers
The equation y = -8x + 4 represents the given problem.
What is slope and y-intercept?'The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis.'
According to the given problem,
We know,
Equation of a line can be represented as,
y = mx + c, where, m = slope
c = y-intercept
Slope of the line = -8
Y-intercept of the line = 4
Therefore,
The equation of the line:
⇒ y = -8 + 4
Hence, we can conclude, the equation y = -8x + 4 represents the given line.
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