if a Relation is a Function
in the
1) ((−1, 8), (0, 15), (1, –4), (2, 0)) 2) {(-5, 2), (5, 2), (0, -3), (3,-8)) 3) ((-2, 7), (6, 2), (−2, −3), (0, 9))
is a function
because there is not any
Points which have the
X-Coordinate and differen
y-Coordinates.
4) {(7,2), (4,-6), (2,-2). (4,-9)} 5) {(2, 3), (2, 4), (2, 5), (2,6)}
6) {(1,4), (2,4), (3, 4), (4-4)}
Answers
1). The relation given; { (−1, 8), (0, 15), (1, –4), (2, 0) } as given is a function.
2). The relation given; { (-5, 2), (5, 2), (0, -3), (3,-8) } as given is a function.
3). The relation given; { (-2, 7), (6, 2), (−2, −3), (0, 9) } as given is not a function.
4). The relation given; { (7,2), (4,-6), (2,-2). (4,-9) } as given is not a function.
5). The relation given; { (2, 3), (2, 4), (2, 5), (2,6) } as given is not a function.
6). The relation given; { (1,4), (2, 4), (3, 4), (4, -4) } as given is a function.
What is a function?It is important to know that a function is a special kind of relation in which case no one input value, x is assigned more than one output value.
On this note, when a relation is such that one of its input values is assigned two or more output values; such relation is not a function.
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Related Questions
Two people leave from the same point. One travels 12 meters north. The other travels 9 meters east. How far apart are they?
Answers
Answer:
It would be 3 meters apart
The value of a new car decreases by 10% in the first year.How much will a car be worth after one year if it’s an initial value was $40,000?
Answers
Answer:36,000
Step-by-step explanation: if ten percent of 100 is 10 we can use the same concept on 40000 by dividing it by 10 because 10% can be roughly said as 1/10 so 1/10 of 40000 is 4000 which we will subtract 40000 by which results in 36000
Hope this can help you
Please can someone help me!!!!!
Answers
Answer:
Your answer for both is 31 degrees
Step-by-step explanation:
Because they are similar we know their angles are the same. If you know the rule about triangles' interior angles always add up to 180, then you can just easily find this out.
First you do
82+67 = 149
Take that answer and minus it by 180
180-149 = 31
Answer:
*Using < for angle symbol*
m<E= 61 degrees
m<G= 119 degrees
Step-by-step explanation:
Because the two triangles are similar (meaning they have either length of sides or angle measurements in common, we can assume that they have the same angles because they are not the same size. We know that m<A= 82 degrees, which means so will m<D. You add the 82 and the 37 (from m<F) together to find 119. You subtract this from 180 (the total angle measurement of a triangle) to find m<E= 61. To find m<G, you subtract the 61 from 180, the angle measurement of a straight line, to find 119.
Hope this helps! Have a nice day :)
There was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.
Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.
Write an exponential function showing the relationship between y and t.
Answers
The exponential function can be written as y = 700e^-0.094t.
What is the exponential function?We know that the term function would have to do with a mathematical rule that we can use to be able to obtain specific values. Now we have to know that there was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.
We can use;
N = Noe^-rt
N = amount at time t
No = Amount at the beginning
r = decay rate
t = time taken
Thus we have; y = 700e^-0.094t
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Choose the correct anwer
Answers
Answer:
1/0 and the second answer
Step-by-step explanation:
A Irrational number is when a number cant be expressed in p/q when q isn’t 0 and in 1/0 q is 0 making it irrational
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Help pls no links I'll give briliantest if you give me the right answer
Answers
Answer:
4 unit, 3 units
Step-by-step explanation:
It can be observed that there are 4 units on each side of the square and the triangle has a height of 3 units using the picture
The sides of a square are 7 inches long. Enter the length of the diagonal of the square to the nearest tenth.
Answers
Answer:
9.9 inches
Step-by-step explanation:
Use the pythagorean Theorem
c^2 = a^2 + b^2
c^2 = 7^2 + 7^2
c^2 = 49 + 49
c^2 = 98
Take the square root of both sides
c = 9.8994949366
Rounded
c = 9.9 inches
the value of polynomial 5x - 4x square +3 when x=1
Answers
Answer:
f(x)=5x-4x²+3
f(1)=5×1-4×1²+3
5-4+31+34hope it helps.Step-by-step explanation:
5x - 4x^2 + 3
Now, put x = 1
=> 5(1) - 4(1)^2 + 3
=> 5 - 4 + 3
=> 8 - 4
=> 4 Ans.
A student wants to write an expression for, all of the elements which are in set A AND all of the elements in set B.” Which expression below matches the statement? (A ‘U B’). (A U B). (A n B) P(A n B)
Answers
A student wants to write an expression for, all the elements which are in set A and all the elements in set B. Then, the expression matches the statement is (A n B), which is read as A intersection B. Thus, option B is correct.
What is intersection?The intersection of two sets A and B, denoted by display by (A ∩ B). It is the set containing all elements of A that also belong to B, or, alternatively, all elements of B that also belong to A. The symbol is sued for the intersection is ∩. This is defined as that the element of A and B are is a single set.
Therefore, option B is correct.
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I need the answer fast it’s a simple one
Answers
Answer:
on average, how many plants do the students in your class have at home
Step-by-step explanation:
there is more than one answer
B is the correct answer
Step-by-step explanation:
It can be answered by collecting data.
Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 300 times. Which results are
probable to happen according to theoretical probability? Select TWO answers.
Answers
On solving the question, we can say that - the probability of given will be P(a/c) = 3/6 = 1/2
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
here,
the probability that event the dice will roll is 6
and chances of geting even numbers are = 3
so P(a/c) = 3/6 = 1/2
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Find the measure of line segment TU. Assume that lines which appear to be tangent to the circle are tangent.
A)
14
B)
16
18
D)
20
Answers
Given:
A figure of a circle. A secant SU and a tangent SR is drawn to the circle from the external point S.
To find:
The measure of the line segment TU.
Solution:
According to the secant tangent segment theorem, the square of tangent is equal to the product of secant and external segment of the secant.
Using secant tangent segment theorem, we get
[tex]SR^2=SU\times ST[/tex]
[tex](40)^2=(32+2x-2)\times (32)[/tex]
[tex]1600=(30+2x)(32)[/tex]
[tex]1600=960+64x[/tex]
Subtract both sides by 960.
[tex]1600-960=64x[/tex]
[tex]640=64x[/tex]
Divide both sides by 64.
[tex]\dfrac{640}{64}=x[/tex]
[tex]10=x[/tex]
Now, the measure of the line segment TU is:
[tex]TU=2x-2[/tex]
[tex]TU=2(10)-2[/tex]
[tex]TU=20-2[/tex]
[tex]TU=18[/tex]
Therefore, the correct option is C.
What is the value of x? Show your work in arriving at your answer.
Answers
The value of x is 18.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
First, both angles shown are equal to each other.
5x + 5 = 95
Next, the opposite side of the equation to isolate x value (5x).
5x + 5 (-5) = 95 (-5)
5x = 90
Finally, we need to divide both sides of the equation by 5.
5x / 5 = 90 / 5
x = 18
The final answer: x = 18
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Let us call a function f : A → R anti-continuous if it satisfies the following condition.
For every point x ∈ R there exists > 0 and δ > 0 such that for all y ∈ A
0 < |x − y| < δ =⇒ |f(x) − f(y)| > .
(a) Show that there exists an anti-continuous function f : Q → R.
(b) Show that there is no anti-continuous function f : R → R.
Answers
Answer:
Aye I've you caught now ya wee bastаrd
Step-by-step explanation:
x^2+8x+4=0 using quadratic formula
Answers
Answer:
-4±2√3
Step-by-step explanation:
quadratic formula: (-b±√(b²-4ac))/(2a)
a = 1
b = 8
c = 4
(-8±√(8²-4*1*4))/(2*1)
(-8±√(64-16))/(2)
(-8±√48)/(2)
(-8±4√3)/(2)
-4±2√3
You randomly select one card from a 52-card deckFind the probability of selecting a black ace or a red nine
Answers
Answer:
2/52 + 2/52 = 4/52
Determine the radius of convergence of the following power series.
Σ(-1)^k x^k/3^k
Answers
Answer:
(−1)kxk
Step-by-step explanation:
Therefore, the infinite series ∞∑k=11k does not converge.
(−1)kxk = 1 − x + x2 − x3 + ···. = ∞. ∑ k=0. (−x)k = 1. 1 − (−x). = 1. 1 + x ... 3. )k. = x. 1 − (x2/3). = 3x. 3 − x2 for |x2/3| < 1. 1.2 Radius of Convergence.
Joshua's cousin pledged $12 for a charity walk if Joshua walked 3 miles how much did his cousin pay per mile
Answers
Explanation: 12/3 = 4
The difference between the roots of the equation 2x^2-5x+c=0 is 0.25. Find c.
Answers
Maya went shopping for a new video game because of a sale. The store was offering a 40% discount. If the price on the tag was pp, which expression does NOT represent the price after the discount but before tax?
Answers
The expression that represents the price of the video game after the discount is
p - 0.4p
Where p is the original price of the video game.
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Price of the video game = p
Discount = 40%
The price of the video game after the discount.
= p - (40% of p)
= p - (40/100)p
= p - 0.4p
Thus,
The expression is p - 0.4p.
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(REPOST) PLS HELP Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.
What is the volume of this box?
192in³
275in³
37512 in³
425in³
Answers
Answer:
4 x 8.5 x 12.5 =425 (multiple hight x width x length)
The volume of the box is [tex]425in^{3}[/tex]
Answer:
425 in³
Step-by-step explanation:
V = whl
12 1/2 · 8 1/2 · 4 = 425
5800 dollars is placed in an account with an annual interest rate of 9%. To the nearest tenth of a year, how long will it take for the account value to reach 17600 dollars?
Answers
The midpoint M of the line segment AB is (1,3). If the coordinate of B is (-5,7), what is the coordinate of the point A
Answers
Answer:
( 7,-1 )
Step-by-step explanation:
How man minutes will it take to make and pack an order for 36 parts show your work
Answers
Complete question :
The time taken to make and pack an order represented by the equation ; 2x + 10. How man minutes will it take to make and pack an order for 36 parts:
Answer:
82 minutes
Step-by-step explanation:
Time taken to make and pack an order : 2x + 10
To pack 36 orders ; put x = 36 in the equation :
= 2(36) + 10
= 72 + 10
= 82
82 minutes is required to make and pack an order for 36 parts.
Answer:
2x + 10
= 2(36) + 10
= 72 + 10
= 82
It will take 82 minutes to make and pack an order for 36 parts.
Step-by-step explanation:
Got it right :)
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Help on this question ASAP PLEASE!!!
Answers
The time t in seconds that it takes a car to accelerate to ask mph can be described by T=0.001×0.7 32X^2 +15.417X +603.738 how fast in miles per hour is the car going after 8.55 seconds
Answers
The miles per hour that the car is going after 8.55 seconds is 610.79 miles per hour.
How to calculate the time taken?From the information Illustrated, it should be noted that the t in seconds that it takes a car to accelerate to ask mph can be described by T = 0.001 × 0.732X² + 15.417X + 603.738.
In this case, it is important to note that x in the function simply represents the seconds.
Therefore, based on the information, the miles per hour is the car going after 8.55 seconds will be:
T = 0.001 × 0.732X² + 15.417X + 603.738.
T = 0.001 × 0.732(8.55)² + 15.417(8.55) + 603.738
T = 0.001 × 53.511 × 131.815 + 603.738
T = 610.79
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What step should be taken to isolate the variable in the following
equation? 7d=49*
add 7 to both sides
subtract 7 from both sides
multiply 7 on both sides
divide 7 from both sides
Answers
Answer:
Divide 7 on both sides.
Step-by-step explanation:
Jayla has a makeup mirror like the one shown below, which measurement is closest to the area of the mirror in square inches?
Answers
Answer:
D. 113.1 in^2
Step-by-step explanation:
what number should be added to -5/8 so as to get
4/9?
Answers
Answer:
The answer is [tex]\bf \dfrac{77}{72} [/tex].
Steps required :
Suppose the number as x.Frame a linear equation according to the question.Transposing -5/8 from L.H.S to R.H.S. (Sign gets changed while transposition)Performing addition.The number we got after performing addition is the required answer.Refer to the attachment. :)
Please help me with this question!!
Answers
Answer:
y=8(0.5)^x
Step-by-step explanation:
We can find the value of b, which is the rate. The rate is 0.5 because the y value is consistently going down by 2. A is the first value, which is 8. y=8(0.5)^x