Answer: Choice D)
{(1, 4), (2, 3), (3, 2), (4, 1)}
========================================================
Explanation:
Let's go through the answer choices one at a time to see what is a function and what isn't.
A) This is not a function because x = 3 repeats itself. In other words, the input x = 3 leads to multiple outputs (y = 3 and y = 2 simultaneously). A function is only possible if any x input leads to exactly one y output. B) This isn't a function either for similar reasoning as choice A. This time x = 2 repeats itself.C) Same idea as the others. We don't have a function because x = 1 repeats itself.D) Each x input is only listed once, so we don't have any x repeats. Therefore, relation D is a function.In short, choices A,B,C are not functions because they have a repeated x coordinate; in contrast, choice D doesn't have any repeated x values so it is a function.
Side note: The y values are allowed to repeat themselves, but the function won't be one-to-one.
A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has traveled 936 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
The required equation is:
d = 81tf(t) = 81tStep-by-step explanation:
I think that's the answer
The linear function rule to model the distance in feet 'd' that the car has traveled any number of seconds 't' after passing the timing device. can be represented as d = f(t) = 117t
What is Linear Function?A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.
Given that car is moving at a constant speed.
Distance travelled by car = 936 feet
Time taken to travel the distance = 8 seconds
Speed = Distance / Time
= 936 / 8
= 117 feet per second
So the car will be moving at a speed of 117 feet per second at any time t.
Distance of car at any time is,
Distance = Speed × Time
d = 117 × t
d = f(t) = 117t
Hence the linear function which models the relationship between d and t is d = f(t) = 117t.
Learn more about Linear Functions here :
https://brainly.com/question/20286983
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Solve the system of equations.
y=5x+9
y=8x-6
Answer:
(5,34)
Step-by-step explanation:
Plz help me thx
Simplify:
Answer:
4
Step-by-step explanation:
note that [tex]\sqrt{x^2}[/tex] = x , then
[tex]\sqrt{(2-\sqrt{5})^2 }[/tex] + [tex]\sqrt{(2+\sqrt{5})^2 }[/tex]
= 2 - [tex]\sqrt{5}[/tex] + 2 + [tex]\sqrt{5}[/tex] ← collect like terms
= 4
please help! the ppl who are good atttt mathhh please!
Answer:
10) SAS
12) SAS
13) SSS
11) ASA
14) ASA
Answer:
10. none
11. AAS
12. SAS
13. SSS
14. SAS
15. ASA
Step-by-step explanation:
I'm not going into detail of each question... I have a 101 in geometry right now though and I've already done triangles, so just trust me on this one.
i just forgot this like ;-;
Answer:
[tex] \boxed{\bf \dfrac{64}{729} }[/tex]
Hence,
[tex]\boxed{\bf \: \bigg( \dfrac{2}{3} \bigg) {}^ {6} = \dfrac{64}{729}} [/tex]
Step-by-step explanation:
Given arithmetic expression is :-
[tex]\sf \longmapsto(2/3) {}^{6} [/tex]
This expression may be rewritten as :-
[tex]\sf \longmapsto \bigg(\dfrac{2}{3} \bigg) {}^{6} [/tex]
6 is the index and 2/3 is the base.
In words, this may be represented as 2/3 raised to the Power 6.
Let's calculate.
It means that 2 is raised to the power of 6 and 3 is also raised to the power 6.
That is,
[tex]\sf \longmapsto \dfrac{ {2}^{6} }{ { 3}^{6} } [/tex]
It will be represented as,
[tex]\sf \longmapsto \: \dfrac{2 \times 2 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 3 \times 3 \times 3 \times 3} [/tex]
On Simplification:-
[tex]\sf \longmapsto \dfrac{64}{729} [/tex]
In Decimal:-
[tex]\sf \longmapsto0.08(approx .)[/tex]
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
WILL GIVE BRAINLIEST!
what are the values of a and b so the system of equations has infinitely many solutions?
y= -1/2x+b
y= ax + 15
Answer:
a: -1/2
b: 15
Step-by-step explanation:
A system that has infinite solutions is the same line on top of itself.
Hope that helps
At a football stadium, 10% of the fans in attendance were teenagers. If there were 30 teenagers at the football stadium, what was the total number of people at the stadium?
Insert the values given in the problem then scale up or down to find the missing value.
Answer:
i believe the answer to this is a total of 300 people because you multiply the ten percent into the 30 people which factors out some numerical values, so then your answer as i just said is 300 people in total attended the game.
Step-by-step explanation:
find the value of 777^2 - 223^2
Answer:
549440
Step-by-step explanation:
777^2 = 603729
223^2 = 54289
603729 - 54289 = 549440
combine k/4 and 5k
pls pls pls pls
[tex]\dfrac k4 + 5k = \dfrac{k + 20k}4 = \dfrac{21k}4[/tex]
Make t the subject of the formula q = 4+
2 - 4
t 3
Answer is given below in picture
I hope it helps.
if 3/15 is equivalent to 45/n. find n
Answer:
n = 225
Step-by-step explanation:
Multiply 15 by 15
my Christmas present to you
Answer:
Step-by-step explanation:
if you need help let me know
Answer:
Thanks I guess…
Step-by-step explanation:
Which situation is NOT a linear function?
A. A video subscription service which charges $7.99 a month
B. A factory worker that gets paid $19 an hour
C. A $350,000 house that depreciates 4% per year
D. A gym membership that charges $7 when joining, and $12 a month
Answer:
C
Step-by-step explanation:
If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.
Consider the following system of equations. Line 1: x + y = -2 Line 2: 3x - y = 2 Part A: The ordered pair (-4, 2) is a solution to O Line 1. O Line 2. o the system of equations.
Answer:
(a) Line 1
Step-by-step explanation:
The given point is only a solution to the equation for Line 1. This is shown in the attached graph.
__
You can put those values into each equation to see if it is satisfied.
1: -4 +2 = -2 . . . . this equation is satisfied.
2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied
(-4, 2) is a solution to the Line 1 equation only.
Help please please!!!
Question is on the pic!
Answer:
C
Step-by-step explanation:
C has 2 negative 2's on it, and 2 numbers on the x side cannot be the same.
Answer:
C
Step-by-step explanation:
If your x Collum has more than one of the same numbers so in this case -2 is there twice it's not a function
X 1 1 2 3 4
________________________________________________________
Y 0 3 4 2 6
this would not be a function because the one is at two different heights.
if you think of every number as a person and the y axis as height. two different people can be the same height but one person cannot be two different heights at the same time. if it's on a graph use the vertical line test take a vertical edge of a paper and run it across the graph if the edge of paper goes through more than one point it's not a function
If f(x) = 2x – 5, then what is the value of f(2) + f(5)
Answer:
4
Step-by-step explanation:
The sum of -14 and a number is positive. Identify a possible value for that number
Explain your selection
Answer:
15
Step-by-step explanation:
Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.
NPM = __?__
Less than BAC
Less than CAB
Less than BCA
Less than ABC
If Ambrea deposits $4000 in the bank and there is a 3% interest rate, how long will it take her to save $7000
Answer:
I believe the answer is 25 years
Step-by-step explanation:
3% of 4000 is 120
3000 divided by 120 is 25
Answer:
25 years
Step-by-step explanation:
So you have $4000, with a rate of 3% interest.
You want to see how long it takes to save up to $7000.
Do,
3% of $4000 is $120.
It takes a year to get a interest.
And you need $3000 dollars.
Now do 3000 ÷ 120.
You get 25.
A school communoty had planned to reduce the number of grade 9 students per class room by constructing additional class room however they constructed 4 less rooms than they planned As the result tye number of students per class was 10 more than they planned if there are 1200 grade 9 students in the school determine the current number of class rooms and the number of students per class (I need instant help)
Here is my solution. I hope it is helpful.
The hypotenuse of a right triangle is 6 feet long. One leg is 2 feet longer than the other. Find the length of each leg to the nearest hundredth of a foot.
I need help and I can’t find any sadly. Help!!
1 = Given
2 = Addition Property of Equality
3 = Division Property of Equality
An online website rates restaurants that serve hamburgers on a scale from 0 to 10. The graph below shows the ratings of all the restaurants on the website and the costs of hamburgers at those restaurants.
Which graph represents f(x) = -1/4 x^6
Answer:
answer is B
Step-by-step explanation:
I used Desmos to graph the function
x/4-6=10 PLEASE HELP I NEED HELP ASAP
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf \dfrac{x}{4} - 6 = 10[/tex][tex] \sf \dfrac{x}{4} = 10 + 6[/tex][tex] \sf \dfrac{x}{4} = 16[/tex][tex] \sf x = 16 \times 4[/tex][tex] \sf x = 64[/tex]Value of x is 64
By showing your working clearly verify if x=19/20is the solution of the equation 2x-3/4=1/3x+5/6
need the answer asap
[tex]2x - \frac{3}{4} = \frac{1}{3} x + \frac{5}{6} \\ = > 2x - \frac{1}{3} x = \frac{5}{6} + \frac{3}{4} \\ = > \frac{6x - x}{3} = \frac{10 + 9}{12} \\ = > \frac{5x}{3} = \frac{19}{12} \\ = > x = \frac{19}{12} \times \frac{3}{5} \\ = > \frac{19}{20} \\ [/tex]
Therefore,
[tex]x = \frac{19}{20} [/tex]
verified.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Help help help help math
area=147 cm squared
7 x 7 = 49
49 x 3 = 147
for brainlist !!!!!!
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.
Answer: =20 feet
= 35 feet
Explanation :
let width = a
length = a+15
Now,
2(2w+15)=110
2w=55-15
w=40/2
w=20
write the sum and then write an equivalent expression by collecting like terms and removing parentheses the opposite of (5x - 1) and 5x
Answer:
remove the bracket 5x-1+5x collect like term 5x+5x-1
10x-1 is the answer
