Does this set of ordered pairs represent a function? Why or why not? -1,5), (0, -3), (2, 7), (4,0), (7, 5)) A. No, because two of the y-values are the same. OB. Yes, because there are two xvalues that are the same. OC. Yes, because every xvalue corresponds to exactly one yvalue D. No, because one xvalue corresponds to two different values.
Answers
Answer:
C.
Step-by-step explanation:
All the x-values are different and go to one y-value.
Yes this set of ordered pairs represent a function because every x value corresponds to exactly one y value
What are ordered pairs in sets?A function f from a set A to a set B is a set of ordered pairs {(x, y)} such that x in the set A and y is the in the B. For every x ∈ A there is exactly one y ∈ B such that (x, y) is an ordered pair in f. We call this element f(x). We call A the domain and we call B the range.
How do you determine if a set of ordered pairs are functions?A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.
According to the question
Set of ordered pairs represent a function :
(-1,5), (0, -3), (2, 7), (4,0), (7, 5)
As we can observe that every point have different x value for there respective y ,
and A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.
Hence, Yes, this set of ordered pairs represent a function because every x value corresponds to exactly one y value
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Related Questions
There are 16 boys and 20 girls in a class. What part of the class is boys? What part girls?
Answers
Answer:
girls 4/9 or (Decimal: 0.444444) percent is 44.4%
boys 5/9 or (Decimal: 0.555556) percent is 55.5%
Scarlett stopped at a campground along the Appalachian trail. The campground had a 1
2
acre area for tents, divided into 6 equal campsites. Scarlett picked one of the sections to pitch her tent.
Which expression would give you the size of Scarlett’s campsite? Check all that apply.
One-half divided by 6
StartFraction 6 Over 7 EndFraction divided by 6
6 divided by one-half
StartFraction 6 Over 12 EndFraction divided by 6
6 divided by StartFraction 3 Over 6 EndFraction
Answers
Answer:
1/2 divided by 6
6/12 divided by 6
Step-by-step explanation:
Answer:
a - d
Step-by-step explanation:
If a Ferris wheel takes 45 seconds to make a complete rotation, how many rotations will it complete in 3 hours?
Answers
Answer:240 rotations
Step-by-step explanation: 1 rotation/45 seconds * 60 seconds / minute * 60 minutes / hour * 3 hours = 3600*3/45 = 240 rotations
A push lawnmower is priced at $299.50. There is an 8% sales tax rate. What is the sales tax of the pusher lawnmower in dollars and cents?
Answers
Answer:
$323.46
hope this helped :)
$299.50 + 23.96 = 323.46
PLS HELP!! According to the following diagram, which two options form a pair of opposite rays?
Answers
Ello there mate hows it going? I have done geometry and parlinguals along with alegbra! I am certified as a college professor and am willing to help ya!
PLEASE THANK ME RATE MY QUESTION 5 STARS AND MARK ME BRAINLIEST for my extrodinary and overly qualified help!
A,C
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a car traveled 23 miles in 15 minutes. how many miles per hour was it traveling?
Answers
Answer:
1.53333... mph
Step-by-step explanation:
Well, if you want to figure out the speed (miles per hour), all you need to do is divide the distance by the time. In this case, the distance is 23 miles, and the time is 15 minutes. 23/15= 1.53333...
Hope this helps!! Have an amazing day c:
The speed of the car with given distance and time is 92 miles per hour.
Given that, a car traveled 23 miles in 15 minutes.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
We know that, speed = Distance/Time
Here 15 minutes = 15/60
= 1/4 hours
Now, speed = 23 ÷ 1/4
= 23 ×4
= 92 miles per hour
Therefore, the speed of the car with given distance and time is 92 miles per hour.
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Please help I would super appreciate it thank you so much
Answers
B) the equation is y=7x
C) if he had 23 people it would be $161
Answer: the answer is 7 dollars for 1 guest
Step-by-step explanation:
-3.6 divided by -0.75
Answers
Answer:
4.8
Step-by-step explanation:
the two negatives cancel each other
Answer:
4.8
Step-by-step explanation:
Since both numbers are in negative form and a division is supposed to occur, take away the negative so that the division can properly occur:
3.6 ÷ 0.75
Now simplify:
4.8
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The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid. (a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. (d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).
Answers
Answer:
this is what i did i apologize if i’m late and u no longer need the answer or if i’m wrong
Step-by-step explanation:
About 3.9×10^7 people live in California. About 1.7×10^6 people live in Idaho. About how many more people live in California than live in Idaho?
Answers
Answer:
37.3 x 10⁶
Step-by-step explanation:
Given parameters:
Number of people in California = 3.9 x 10⁷
Number of people in Idaho = 1.7 x 10⁶
Unknown:
How many more people live in California than live in Idaho = ?
Solution:
To find the number of people living in California more than Idaho, simply find the differences between the number of their population;
= 3.9 x 10⁷ - 1.7 x 10⁶
= 39 x 10⁶ - 1.7 x 10⁶
= (39 - 1.7) x 10⁶
= 37.3 x 10⁶ people
So, 37.3 x 10⁶ more people live in California than Idaho
Nate and his brother are saving money to buy a gaming system. The system they want cost $349. The store is having a sale and the system is 30% off. State sales tax 6%.
Answers
Answer:
258.96
Step-by-step explanation:
%30 = 0.3
%6 = 0.06
so..
349 - (349 × 0.3)
349 - 104.7
244.3
then do the tax which is %6 or 0.06
244.3 + (244.3 × 0.06)
244.3 + 14.66
258.96
Good Job! Pls Brailniest! it would mean a lot ;) !
How many kilograms of potatoes will each person get if 5 people share 1/3 of a kilogram of potatoes equally?
Answers
Answer:
1/15 kg
Step-by-step explanation:
Divide by 5 can be written as multiply by 1/5
1/3 * 1/5 = 1/15
Pls help me I will pick brainliest
Answers
Answer:
What do you need help with?
Step-by-step explanation:
Answer:
??
Step-by-step explanation:
.
write a word phrase for x/4-17
Answers
Answer:
a number x divided by four, minus seventeen
or
seventeen less than a quarter of a number x
or
a quarter of x take away seventeen
Step-by-step explanation:
There's a variable in the expression so we can just say "a number x". We are dividing that unknown number by four, so we can say x divided by four, or since dividing by four is multiplying by one fourth, we can say one fourth of x or a quarter of x (especially since 'of' in math means multiplication). Then we have to subtract seventeen. We could leave it as minus seventeen at the end, or we could say seventeen less than a fourth of x or take away seventeen. As can be seen, there are numerous ways to go about 'verbalizing' the expression, or any expression for that matter. Think creatively!
1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line. Work for Point 1 Work for Point 2 Work for Point 3 Work for Point 4
Answers
Answer:
We have the equation:
3x - 5y = 15
a) We want to create a table with at least 4 points.
To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.
5y = 3x - 15
y = (3/5)*x - 3.
Then we have a linear equation.
Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.
x = 0.
y = (3/5)*0 - 3
y = -3
Then we have the point (0, -3).
x = 1.
y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5
y = -12/5
Then we have the point (1, -12/5)
x = 5
y = (3/5)*5 - 3 = 3 - 3 = 0
y = 0
then we have the point (5, 0)
x = 10
y = (3/5)*10 - 3 = 6 - 3 = 3
y = 3
Then we have the point (10, 3).
Now we can create the table
[tex]\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right][/tex]
Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.
slope = 3/2, (2,7) is on the line
Answers
Answer:
The answer would be 4.5
Find Mx, My, and (x, y) for the lamina of uniform density rho bounded by the graphs of the equations. y = x2/3, y = 0, x = 1
Answers
The required value for the lamina of uniform density [tex]\bar x\\[/tex] and [tex]\bar y[/tex] are written below,
[tex]\bar x = \dfrac{5}{8}\\[/tex]
[tex]\bar y = \dfrac{5}{14}[/tex]
Given that:
The density of lamina: ρThe graph for the lamina: [tex]y = x^{\frac{2}{3}}[/tex], y = 0, and x = 1Calculus's core idea of integration entails determining a function's integral. It is a reverse process of differentiation that enables us to compute cumulative numbers, find the area under a curve, solve differential equations, and more.
The function can be written as,
[tex]m = \rho\int_0^1x^{\frac{2}{3}}dx\\= \rho\left[\dfrac{x^{\frac{5}{3}}}{\frac{5}{3}}}\right]\\=\dfrac{3}{5}\rho[/tex]
The value of Mx can be calculated as,
[tex]M_x = \rho\int_0^1\dfrac{x^{\frac{2}{3}}}{2}}\times x^{\frac{2}{3}}dx\\=\dfrac{\rho}{2}\left[\dfrac{x^{(\frac{2}{7})}}{\frac{7}{3}}\right]_0^1\\=\dfrac{3}{14}\rho[/tex]
Calculate the value of My,
[tex]M_y =\rho \int_0^1 x\times x^{\frac{2}{3}}dx\\=\rho \left[\frac{x^\frac{8}{3}}{\dfrac{8}{3}}\right]\\=\dfrac{3}{8}{\rho[/tex]
The value of [tex]\bar x\\[/tex] will be calculated as,
[tex]\bar x = \dfrac{M_x }{m}\\=\dfrac{ \dfrac{3}{8}\rho}{\dfrac{3}{5}\rho}\\=\dfrac{5}{8}[/tex]
The value of [tex]\bar y\\[/tex] is calculated as,
[tex]\bar y= \dfrac{M_y }{m}\\=\dfrac{ \dfrac{3}{14}\rho}{\dfrac{3}{5}\rho}\\=\dfrac{5}{14}[/tex]
Therefore, the required values are [tex]\bar x = \dfrac{5}{8}\\[/tex] and [tex]\bar y = \dfrac{5}{14}[/tex].
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which equation choice could represent the graph shown below?
Answers
Answer:
The answer is...
f(x)=(x-3)+(x+3)
I think this is the answer. I haven't done this kind of math in a while so...
The chosen equation, (x +3)(x + 3) = 0, will serve as a representation of the provided graph.
What is a Quadratic equation?ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
given a Graph of a quadratic equation.
Contrarily, parabolas are used to graph quadratic equations. In other words, the data will be displayed as either an "open" or "upside-down" U-shaped curve. The graph is always quadratic if you are drawing a graph from a function and the equation involves x².
in this graph, we can observe that graph has only one root at x = -3
therefore the equation of the Given parabola is
(x + 3)² = 0
or
(x +3)(x + 3) = 0
therefore, the equation choice could represent the graph given will be (x +3)(x + 3) = 0.
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The last school year enrollment of Genoa Middle school was 465 students. This year the enrollment is 525.
Answers
Answer:
465 to 525
Step-by-step explanation:
60 difference
A customer will get gallons for 3.50
Answers
Answer:
What is the question?
Step-by-step explanation:
If its how much will it cost to get ____ gallons
Just multiply the number of gallons you want and 3.50 (the price)
Again, I don't really know what your question is, but I'm saying this so that if what I put up there is actually what your question was, you don't have to make another one. (I'm not sure if you can edit questions or not.)
complete the statement:
Answers
>_< I need some help pls,
Answers
Answer: 80 = 20 + 5v
Step-by-step explanation:
This equation allows you to find out how many visits would create an even rate for both gyms.
What equation could be used to represent the verbal representation below?
Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?
Answers
Answer:
10p=300+44
Step-by-step explanation:
Answer: 10x = 44 + 300.
Step-by-step explanation: The 10 pieces of artwork will be sold by an x amount of money, should equal the $300 profit plus the $44 expenses.
Find the measure of an angle such that the sum of its supplement and four times its
complement is 13° less than twice the angle.
Show work
Answers
Answer:
Angle=79°
Step-by-step explanation:
Hope it helps!
2 ÷ 16/7 then put it in its simplest form (it will be a mixed number)
Answers
Answer:
1 1/7
Step-by-step explanation:
Answer:
8/7
Step-by-step explanation:
16/7=[tex]\frac{16}{7} \\[/tex] then divide it by 2 and you get 8/7
4 tens + 14 ones = 5 tens + ___ ones
Answers
Answer:
that equation isnt set up right
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
40+14=54 and 50 = 4 + 54
Hope this helps :)
Please with a cherry on top help me solve this. I will give you brainliest. Thanks.
Answers
PLEASE HELP! I NEED ANSWERS! 8-11 FIND THE RELATIONSHIP
Answers
Answer:
8. complementary 9. linear pair 10. adjacent 11. vertical
Step-by-step explanation:
grrrrrr please help i’ll give u a cookie :)
Answers
im only in 6th grade
Step-by-step explanation:
Beleaguered State Bank (BSB) holds $400 million in deposits and maintains a reserve ratio of 10 percent.