Is the following relation graphed below a function? Explain? Think about what open and closed circles mean
Answers
Given:
The graph of a relation.
To find:
Whether the given relation in the graph is a function or not.
Solution:
First we need to understand the meaning of open circles and closed circles.
Open circle: It is a unfilled circle, it means, that value is not included in the solution set.
Close circle: It is a completely filled circle, it means, that value is included in the solution set.
A relation is a function if their exist a unique y-value (output value) for each x-value (input value).
The graph of a relation is a function, if the graph intersect each vertical line at most once. It is known as vertical line test.
For the vertical lines x=-1 and x=1, the graph has only one close circle and all other vertical line intersect the graph at most once.
Since the graph passes the vertical line test, therefore it represents a function.
Related Questions
An arrow is shot up in the air from a height of 3 feet. The height of the arrow, in feet,can be modeled with the function h= -2t^2+12t+3where his the height in feet and is the time in seconds.Enter the average rate of change, in feet per second, from 1 second to 4 seconds
Answers
Answer:
The average rate of change is two feet per second.
Step-by-step explanation:
The height of an arrow shot up into the air from a height of three feet is given by the function:
[tex]h(t)=-2t^2+12t+3[/tex]
And we want to find its average rate of change from one second the four seconds.
The average rate of change is synonymous with the slope. Therefore, we can evaluate the height of the arrow after the first and fourth seconds, and find the slope between them.
After the first second, the height of the arrow is:
[tex]h(1)=-2(1)^2+12(1)+3=13[/tex]
And after the fourth second, the height of the arrow is:
[tex]h(4)=-2(4)^2+12(4)+3=19[/tex]
This yields two points: (1, 13) and (4, 19).
The slope between them is:
[tex]\displaystyle m=\frac{19-13}{4-1}=\frac{6}{3}=2[/tex]
Therefore, the average rate of change from one second to four seconds is two feet per second.
PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST
For a certain value of k, the system
x + y + 3z = 10,
-4x + 3y + 5z = 7,
kx + z = 3
has no solutions. What is this value of k?
Answers
Answer:
k = 7/4Step-by-step explanation:
Given system:
x + y + 3z = 10, -4x + 3y + 5z = 7, kx + z = 3Substitute z in the first two equations with z = 3 - kx:
x + y + 3(3 - kx) = 10 ⇒ (1 - 3k)x + y = 1 ⇒ y = (3k - 1)x + 1-4x + 3y +5(3 - kx) = 7 ⇒ -(4 + 5k)x + 3y = -8 ⇒ y = 1/3(5k + 4) - 8In order the two equations above not to have a solution, the lines should be parallel. Parallel lines have equal slopes.
Solve the following equation for k:
3k - 1 = 1/3(5k + 4)9k - 3 = 5k + 44k = 7k = 7/4Factorise the following expressions :
Answers
Answer:
(x+y)²-4xy
x²+2xy+y²-4xy
x²+2xy-4xy+y²
x²-2xy+y²
(x-y)²
or
(x-y)(x-y)
What expression represents the value of x?
Answers
the first one is correct
i can prove it but its hard on this app and it has a long solution
you can prove it by Thales law
hope this helps
I really need help with my question
Answers
answer :
z=11
y=13
will be ur answers
Find x Question is attached:
PLease I need the answer fast!!!
Answers
Answer:
Step-by-step explanation:
(-3)ˣ⁻² = -243
(-3)ˣ⁻² = (-3)⁵
x-2 = 5
x = 7
Kevin Chamberlin?...........
Answers
Answer:
Yeah thats weird
Step-by-step explanation:
i'm a little bit confused about this question.
Answers
Answer:
4
Step-by-step explanation:
1 3 4 . 0
thousand hundred ones
Which expression represents the perimeter of the
trapezoid?
5x
2x - 1
2x + 3
6x +4
11x + 4
O 4x + 2
15x + 6
13x + 8
Answers
5x + 2x+3 = 7x+3
6x+4 + 7x+3 = 13x + 7
13x+7 + 2x-1 = 15x+ 6
Tell whether -3 is a solution of the inequality
3-4r >_ 15
Answers
Answer:
-3 is a solution.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
3 - 4r ≥ 15
Step 2: Solve for r
[Subtraction Property of Equality] Subtract 3 on both sides: -4r ≥ 12[Division Property of Equality] Divide -4 on both sides: r ≤ -3Step 3: Compare
Substitute in r: -3 ≤ -3This is true. -3 is less than or equal to -3.
Identify the slope and y intercept of the function y=4x-9
Answers
By ly - 4x = -9
A box contains tiles that cover 8.5 square feet of floor area. Pamela needs to install the tiles on 518.50 square feet of floor. How many boxes of tile does she need?
Answers
A= lw
We know the area and one of the variables-
518.50= 8.5w
Divide 518.5 by 8.5
518.5/8.5= 61
61 boxes!
The sum of 2 and the product of 4 and m
PLSSS HELP 50 pointsss
Answers
Answer:
1 and 2
Step-by-step explanation:
sum of 2 is 1+1 and product of 4 is 2x2
The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 6 feet. Approximately how many square
feet of the turf need to be painted for a base circle? Use 3.14 for it and round your answer to the nearest tenth.
O 7.5 square feet
O 9.4 square feet
O 18.9 square feet
O 28.3 square feet
Answers
Answer:
28.3
Step-by-step explanation:
pi r^2 = area of circle
6/2 = radius
3.14(3)^2
28.26 -> 28.3
HELP PLEASEEEEEEE!!!!!!
Answers
Answer: I think it is
x y
1 2
3 14
10 56
Step-by-step explanation:
So what I did is you take the 6 and multiply it by the x number then you subtract by 4
Where does the adjacent interior angle go in a triangle?
Answers
Answer:
Any two interior angles that share a common side are called the "adjacent interior angles" of the polygon, or just "adjacent angles". Here the word adjacent is used in its ordinary English meaning of "next to each other".
Step-by-step explanation:
A rectangle is 24.6 m long and 8.65 m wide what is the area of the retangle
Answers
Answer:
212.79m
Step-by-step explanation:
A=L×W
A=24.6m×8.65m
A=212.79m
I was training the cross country team. Every week I expected the students to run 12 3/4 miles every week. If the kids ran
for 5 days that week, how many miles would they need to run each day to meet my expectations ?
Answers
Answer:
x = 2.55 miles per day
Step-by-step explanation:
In English: 5 days * 'x' miles per day = 12 & 3/4 miles total
In algebra: 5x = 12.75
x = 12.75 ÷ 5
x = 2.55 miles per day
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)
Answers
Answer:
(1, 2)
Step-by-step explanation:
Use the midpoint formula
x1 + x2 / 2 , y1 + y2 / 2
-2 + 4 / 2 , -2 + 6 / 2 =
( 1, 2 )
A company that sells umbrellas was
planning to
send a total of 1424 umbrellas in 4 equal shipments. How many umbrellas would be in 3 of the shipments
?
Answers
Find the area of each figure. Round to the nearest tenth if necessary
Answers
38.6
step by step:
Someone please help me answer this!!
Answers
Answer:
1.75 x 10^5
Step-by-step explanation:
Answer:
[tex]1.75 \times {10}^{ - 5} [/tex]
Which is the biggest negative integer
Answers
Answer:
-1
Step-by-step explanation:
in numeracy numbers on right hand are bigger than numbers on left hand -1 is bigger than all negative integers. they all fall on the left of -1
In a drawer there are 6 black socks,8 white socks,2 red socks, and 4 blue socks. A boy takes one socks from the drawer, without looking. What is the chance that this socks is blue?
Answers
Answer:
1/5
Step-by-step explanation:
Chance is also referred to as probability
probability = Number of event/Total samples space
If there are 6 black socks,8 white socks,2 red socks, and 4 blue socks in a drawer, the total number of socks will be the sample space
Sample space = 6 + 8 + 2 + 4
Sample space = 20socks
Total number of blue socks is the event
Number of event = 4 blue socks
Chance that the socks is blue = n(E)/n(S)
Chance that the socks is blue = 4/20
Chance that the socks is blue = 1/5
help pls what is the area of this shape?
Answers
Answer:
I think 15 I dont see it in the options but im going to explain my answer
Step-by-step explanation:
4 + 4 = 8, 13 - 8 = 5 x 6 = 30 divided by 2 is 15
SO 8 x 13 = 104 - 15 = 89 so therefore its 89!
A corporation reported cash of $26,200, total assets of $457,000, and total equity of $156,630 on its balance sheet. Its common-size percent for cash equals:
Answers
Answer:
Common-size percent for cash = 5.73 % (Approx.)
Step-by-step explanation:
Given:
Total cash = $26,200
Total assets = $457,000
Total equity = $156,630
Find:
Common-size percent for cash
Computation:
Common-size percent for cash = [Total cash/Total assets]100
Common-size percent for cash = [26,200/457,000]100
Common-size percent for cash = 5.73 % (Approx.)
A $329.50 gaming system goes on sale for 60% off. You have a coupon for an additional 40%
off the sale price. Does this mean you will get the gaming system for free? Why or why not?
Answers
Answer:
no
Step-by-step explanation:
no because if you multiply $329.50 by .6 you get $197.7, then with the additional 40% (.4) you end up having to pay $79.08
HELP PLEASE PLEASE DUE TONIGHT !! Scores on the Wechsler Adult intelligence Scale (a Standard IQ test) for certain age group are
normally distributed with mean = 100 and standard deviation o = 15. (Find the Z scorels for
each question first, and then use Table A-2 at the back of your book to find the following
probabilities)
a What percent of IQ scores are less than 122?
(4 points)
b What is the probability that a randomly selected adult in this age group has an IQ
score higher than 147? Is this a significant/unusual event? Explain? (5
points)
C
What percent of adults in this age group have IQs between 85 and 100? Is this
I significant/unusual event? Explain?
(5
points)
Tch
3
O
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w
Answers
PLEASE HELP ON ANNYY QUESTION I BEG YOU!!
ILL GIVE U THE HIGHEST RATED!!
Answers
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answers
Answer:
-73
Step-by-step explanation:
if f is 73
and they made f negative, they just made 73 negative too.
i don't know if there is more in that expression
all i can see is
-f=___