Complete this table so it shows a relation that is not a function.
X
2
-4
-3
y
3
1
7
-5
Answers
If we remove the ordered pair in Table 1 and either the value of (3,7) or (3,-2) we have the relation as a function.
what is function ?Mathematics encompasses the study of numbers, formulas and related structures, shapes and the spaces in which they exist, quantities and their variations, and spaces in which they exist. A function is an association between a set of inputs, each of which has an output. Simply described, a function is a relationship between inputs and outputs, where each input results in a single, distinct output. Each function has a domain and a codomain, often known as a scope. Typically, the letter f is used to denote functions (x). is the input. There are four different categories of functions. based on one-to-one functions, many-to-one functions, on functions, within functions, and one-to-one functions.
given
Table 1:
x 0 -4 3 -2 9 3
y 5 8 7 8 5 -2
No, Table 1 is not a function.
Since there are two images of element '3'.
i.e. 3 is mapped to 7 and -2.
Table 2:
x 2 -7 5 1 -6 3
y 5 8 -6 8 5 7
Yes, this relation is a function.
Because corresponding to each x there is a single image.
If we remove the ordered pair in Table 1 and either the value of (3,7) or (3,-2) we have the relation as a function.
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Related Questions
y=(x+3)(x-2)(x-r) with a y int. of 24. solve for r?
Answers
Answer:
Step-by-step explanation:
To solve for r, you need to first find the values of x that make y equal to 24. These values of x are called the roots of the polynomial equation y = (x+3)(x-2)(x-r).
To find the roots of the equation, you can use the quadratic formula:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
where a, b, and c are the coefficients of the quadratic equation y = ax^2 + bx + c.
In this case, the coefficients are:
a = 1
b = -3
c = -24
Substituting these values into the quadratic formula, we get:
x = (3 +/- sqrt(9 - 96)) / 2
= (3 +/- sqrt(-87)) / 2
Since sqrt(-87) is not a real number, there are no real roots for this equation. Therefore, the value of r cannot be determined.
b) Express of 8000 cm³ of milk as a percentage of 16 litres of milk
Answers
Answer:
50%
Step-by-step explanation:
16 litres = (16 x 1000) cm^3
= 16000 cm^3
Hence,
Percentage = 8000/16000 x 100%
= 1/2 x 100%
= 50%
Exponential Functions
Determine which of the following exponential formula(s) represents exponential function II in the graph above.
(a) 10(1.2)t (β) 10(1.5)t
(x) 20(1.2)t (8) 30(0.85)t
(8) 30(0.95)t (∅) 30(1.05)t
a. x c. 8
b. a d. ∅
Please select the best answer from the choices provided
Answers
Answer:
A. x
Step-by-step explanation:
I calculated it logically
Please help on both!!!!!
Answers
Answer:
[tex]14\pi[/tex] and [tex]16\pi[/tex]
Step-by-step explanation:
The equation for the circumference of circles is either [tex]d\pi[/tex] or [tex]2r\pi[/tex], with r being the radius and d being the diameter.
Question A
The diameter is stated as 14. Plug into the equation to get:
[tex]14\pi[/tex]
This is your answer in exact form.
Question B
The radius is stated as 8. Plug into the equation to get:
[tex]2(8)\pi[/tex]
[tex]16\pi[/tex]
This is your answer in exact form.
Answer:
1) 43.98
2) 50.27
Step-by-step explanation:
I hope this helps!
Please help me with this question
Answers
Therefore , the solution of the given problem of trigonometry comes out to be Cos 2x = -0.760355.
Trigonometry is what?The study of relationships among triangle angles and angles is known as trigonometry. Mathematical modeling is a fundamental idea in all of geometry because it can be used to reduce any straight-sided form to a collection of triangles. Amazingly complex connections exist between trigonometry and other areas of mathematics, particularly mathematics, real or complicated, infinite series, logarithms, and infinite series.
Here,
Given : Cosx = 9/26 (First quadrant)
To find : Cos2x
We use the formula:
=>Cos2x = 2Cos²x -1
=> Cos2x = 2(9/26)² - 1
=> Cos 2x = -0.760355
Therefore , the solution of the given problem of trigonometry comes out to be Cos 2x = -0.760355.
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James bought a new sweatshirt from Foot Locker for $39.98 with tax of 7% that was added at the register. James gave the cashier $45.00, how much change should he receive?
Answers
Answer: 2.2214
Step-by-step explanation:
0.07 x 39.98 = 2.7986 (is tax)
2.7986 + 39.98 = 42.7786
45.00 - 42.7786 = 2.2214
a funeral
(since the element in the domain is repeated.
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)}
it 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)}
Practice: Determining if a Relation is a Function the Siven
6) {(1,-4), (2,-4), (3,-4), (4-4)}
Answers
2) {(-5,2), (5,2), (0, -3), (3,-8)} is a function.
3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function.
4) {(7,2), (4,-6), (2,-2), (4, -9)} is not a function.
5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function.
6) {(1,-4), (2,-4), (3,-4), (4-4)} is a many to one function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know a relation is a function if it is one-to-one and many-to-one.
But a function can not be one to many means the same value of x can not lead to different values of y.
2) {(- 5, 2), (5, 2), (0, -3), (3,- 8)} is a fuction as different values of x leads to different values of y.
3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function as the input - 2 leads to two different outputs 7 and - 3.
4) {(7, 2), (4, -6), (2, -2), (4, -9)} is also not a function as input 4 leads to two different outputs - 6 and - 9.
5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function as input 2 leads to different outputs.
6) {(1, - 4), (2, - 4), (3, - 4), (4, - 4)} is a function and it is a many-one function.
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Here are 10 numbers. 3 7 2 4 7 5 7 1 8 8 what is the median
Answers
Answer: 7
Step-by-step explanation:
234577788
^
the number in the middle is 7
Find the missing side lengths. Leave your answers as radicals in simplest form.
Please help!!!! Due today no one ever answers it
Answers
Please explain step by step I dont get it.
Answers
100 POINTSSSSS!!!!!!!!!!!!!!!!!
What is the solution to the equation 1 over 5 multiplied by n equals 3 ? (5 points)
n = 8
n = 15
n = 25
n = 125
Answers
Answer:
n=15
Step-by-step explanation:
Answer:
n = 15
Step-by-step explanation:
1/5 * 15 = 3
This is 100% correct, if you don't believe me go to a new tab and type 1/5*15
It will say 3.
Given:
f(x) = x² + x − 6
g(x) = x + 3
Find: (f/g)(x)
Answers
Answer:
x–2, x ≠ -3
Step-by-step explanation:
Solution in the diagram
Write the two equations for each problem and explain please, thank you
1. Victoria has a total of 65 dimes and quarters worth $10.70. How many of each type of coin does she have?
2. Max has two part-time jobs. He makes $12 per hour mowing lawns and $15 per hour tutoring students. Over the
weekend he worked for a total of 14 hours and made a total of $192. How many hours did he work for each job?
Answers
Answer:
1) Let D be the number of dimes and Q be the number of quarters. We can set up the following system of equations to represent the given information:
D + Q = 65
0.1D + 0.25Q = 10.70
The first equation represents the total number of coins Victoria has, and the second equation represents the total value of those coins in dollars. Solving this system of equations will give us the number of dimes and quarters Victoria has.
2) Let M be the number of hours Max spends mowing lawns and T be the number of hours he spends tutoring. We can set up the following system of equations to represent the given information:
M + T = 14
12M + 15T = 192
The first equation represents the total number of hours Max worked over the weekend, and the second equation represents the total amount of money he made during that time. Solving this system of equations will give us the number of hours Max spent on each job.
Round 0.265625 to the nearest hundredth
Answers
Answer:
0.27 is the answer
I wish you luck in your assignments.
Answer:
Step-by-step explanation:
0.27
how to find key words in math
Answers
Answer:
Step-by-step explanation:
The key words that changes or shows the operation you are going to use in order to solve.
Answer:
Addition, Subtraction, Multiplication, Division and Equals
write a recursive rule for the sequence: 2, 8, 32, 128, 512,. . . (NO LINKS!!!)
Answers
Answer:
a1 =2
an = an-1 * 4
Step-by-step explanation:
We can tell this is geometric by the way it increases
To find the common ratio, take the second term and divide by the first term
8/2 =4
Check to make sure
2*4=8
8*4 =32
32*4 =128
The recursive formula is
a1 = the first term
an = an-1 *r
a1 =2
an = an-1 * 4
Find each measurement indicated. Round your answers to the nearest tenth
Find BC
32
24
8
17
Answers
Answer:
17
Step-by-step explanation:
We will use angle A as theta in our trigonometric function equation.
We are dealing with hypotenuse and opposite, so the trig ratio is sine.
[tex]sin(39) = x/27[/tex]
[tex]27sin(39)=x[/tex]
[tex]27(0.6293) = x[/tex]
[tex]x=16.992[/tex]
When rounded to the nearest tenth, [tex]x=17[/tex]
HELP ASAP! (20 POINT CUZ I NEED DONE ASAP) In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?
Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625
Answers
Tasha, because she has the lowest ratio since 0.7 < 0.625
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of hits compared to total attempts is their batting average
Each player on the team wants to have the highest batting average to help their team the most.
Jana has hit the ball 7 times out of 10 attempts.
Average is 7/10=0.7
Tasha has hit the ball 10 times out of 16 attempts.
Tasha Average is 10/16=0.625
We need to find the player who has better batting average
Tasha, because she has the lowest ratio since 0.7 < 0.625
Hence, Tasha, because she has the lowest ratio since 0.7 < 0.625
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Suppose a researcher compiled a data set of the following variables fora sample of 100 retired men
Answers
Answer:
The researcher compiled a data set consisting of variables such as age, income, and marital status for a sample of 100 retired men
Step-by-step explanation:
A discrete variable is a type of variable that can only take on specific, distinct values that can be counted. Examples of discrete variables include the number of countries visited, shoe size, and number of pets living in a household.
On the other hand, a continuous variable is a type of variable that can take on any value within a certain range through measurement. Examples of continuous variables include pounds of chocolate consumed in the past and height in inches.
10 gallons 4 quarts = ____ quarts
Please help
Answers
10•4=40
Find the sum of all solutions to the equation $4x(x-3) = 23$.
I NEED THIS ASAP
Answers
The sum of the solutions of the equation 4x(x - 3) = 23 is 3.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, An equation 4x(x - 3) = 23.
Now, Distributing the terms in the LHS we have,
4x² - 12x = 23.
4x² - 12x - 23 = 0.
By applying Sridhar acharya's formula we have,
[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:4\left(-23\right)}}{2\cdot \:4}[/tex].
[tex]x=\frac{3+4\sqrt{2}}{2},\:x=\frac{3-4\sqrt{2}}{2}[/tex].
Therefore, The sum of the solutions of the equation is,
x + x = (3 + 4√2)/2 + (3 - 4√2)/2.
= (3 + 4√2 + 3 - 4√2)/2.
= 6/2.
= 3.
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3/8 = 8/X still not able to solve. Can you me how to solve by breaking down?
Answers
Answer: 21.3
Step-by-step explanation:
1. Cross multiply
8(8) = 3(x)
2. Simplify
64 = 3x
3. Divide by 3 on both sides to get the variable by itself
64/3 = 3x/3
4. Simplify
21.3333333333 = x
you can round the answer to the nearest tenth, which would be 21.3
If AD = 18 units and AC = 30 units, what is the measure of CD?
Answers
Answer:
24.
Step-by-step explanation:
Because AD is equal to 18 that means that both parts together equal 18 divide 18 by 2, and you get 9. Same thing for AC and this time you get 15. Add them together and you get 24.
Is 4,582 less than 4,862?
Answers
Answer:
yes it's smaller
The ratio of yellow houses to white houses on a street is 18 to 26.
Simplify the ratio.
Enter your answer by filling in the boxes.
to
Answers
Answer: The ratio 18:26 simplified is 9:13.
Step-by-step explanation:
To simplify the ratio 18:26, we find the greatest common divisor of 18 and 26, and then we divide 18 and 26 by the greatest common divisor.
The greatest common divisor that you can use to simplify 18:26 is 2. Which means the answer to ratio 18:26 simplified is: 9:13
Answer:9/13
explanation: k12
Find the LCM X^2+X,X^2‐1,X^2‐X
Answers
The LCM is
( x − 1 ) ( x + 2) ( x + 3)
Remember that you can find the LCM between two expressions by multiplying them, and then dividing it with their GCF.
Using the graph, predict how many people will be needed to eat 300 pounds of meal?
Answers
Answer:
100 people
Step-by-step explanation:
if u notice the points are (2,6) and (6,18). 6÷2=3 and 18÷6=3, so if you catch this pattern than you can do 300÷3=100
without using a calculator
cos² 43° - sin² 74° + cos² 47 - Sin16°
Answers
Answer:
100
Step-by-step explanation:
because if you add it all up you will find the sum
GIVING BRAINLIEST PLEASE HELP
Laura gets a job at Costco to make extra money during the holidays and will get paid $15 an hour. She also gets a $100 bonus for agreeing to start right away! Create an equation, table, and graph to represent this situation. Define your variables!
Answers
The linear equation y = 15x +100. And the graph and table are given in the attached image.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
Laura gets a job at Costco to make extra money during the holidays and will get paid $15 an hour.
She also gets a $100 bonus for agreeing to start right away.
Let x be an hour, she worked.
And y be the total earnings.
So, the equation,
y = 15x + 100
The table is given in the attached image.
And the graph is also given.
Therefore, the equation is y = 15x + 100
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Five times the sum of a number and 27 is greater than or equal to six times the sum of that number
the solution set of this problem?
O (-00,-21)
O (-00,-21]
O [-21, +00)
O (21, +00)
Answers
Answer:
Answer: Choice B.
Step-by-step explanation:
5(x + 27) >= 6(x + 26)
5x + 135 >= 6x + 156
-x >= 21
x <= -21