9. Which of the following relations is a function?
A. {(-1, - 4), (-1,0), (- 1,5), (- 1, 7), (- 1,9)}
B. {(-2, - 4), (-1, 7), (1, - 1), (1, 1), (3, 9)}
C. {(-4, 9), (- 3, 1), (- 2, 3), (- 2, 12), (0, 6)
D. {(0, - 4), (1, - 4), (2, 4), (3, 4), (4, - 4)}
Answers
The relation which is a function is given by the set relation
A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Let the values of x be x = { 0 , 1 , 2 , 3 , 4 }
Now , the values of y = { 4 , -4 , 4 , 4 , -4 }
And , relation is a function if and only if there exists one value in the range for every domain value.
So , the domain are all having significant and definite ranges
Therefore , the relation is A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
Hence , the function is denoted by A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
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Related Questions
What is the constant of proportionality of y=9x so what does k=
Answers
Kelly has 7 days to read 60 pages of a book for school. She plans to read 8 pages a night for 6 nights.What percent of the assigned pages will she have left to read on the last night?
Answers
Answer:
20 percent left
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
I need help, it’s geometry:
Answers
Answer: The area is 5x + 20
Step-by-step explanation:
Add all the numbers up.
7 + 4x - 8 = 3
13 + (x + 8) = (x + 21)
Therefore, your answer is 5x + 20
Let me know if you have any questions!
A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.Which expression represents the area of the court?
Answers
Answer:
The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]
Step-by-step explanation:
Area of a rectangle:
A rectangle has length l and width w. The area of a rectangle is:
[tex]A = lw[/tex]
A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.
This means that [tex]l = 8x - 2, w = 3x - 3[/tex]
Which expression represents the area of the court?
The tennis court is rectangular, so
[tex]A = lw = (8x - 2)(3x - 3) = 24x^2 - 24x - 6x + 6 = 24x^2 - 30x + 6[/tex]
The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]
Use synthetic division to solve (x3 + 1) = (x - 1). What is the quotient?
o x2+x+1+12
O x2 - X+1
O x2+x+1+421
x - x² + x
Answers
Answer:
x² + x + 1 and remainder 2Step-by-step explanation:
Given
(x³ + 1) ÷ (x - 1)Without using a synthetic division, we can use easier method to find the quotient.
We know the formula:
x³ - 1 = (x - 1)(x² + x + 1)Rewrite the given as:
x³ + 1 = x³ - 1 + 2 = (x - 1)(x² + x + 1) + 2This expression, when divided by (x - 1) leave the quotient (x² + x + 1) and a remainder of 2
The quotient of the equation is A = x³ + x + 1 + ( 2/x + 1 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first equation be p = x³ + 1
Let the second equation be q = x - 1
A = p / q
On simplifying , we get
A = x³ + 1 / ( x - 1 )
On dividing , we get the quotient as
A = x² + ( x² + 1 ) / ( x - 1 )
A = x³ + x + 1 + ( 2/x + 1 )
Hence , the quotient is A = x³ + x + 1 + ( 2/x + 1 )
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Combine like terms.
3(2-5) – (4w=11)
Answers
Answer:
-5 = w
Step-by-step explanation:
3(2-5) – (4w=11)
Distributive property
6 - 15 - 4w = 11
Combine like terms
-9 - 4w = 11
Add 9 on both sides
-9 + 9 - 4w = 11 + 9
-4w = 20
Divide by -4 on both sides to isolate the variable
-4w/-4 = 20/-4
w = -5
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
i can solve this put first why is there an equal sign in between the parantasis
if you want to keep the equal sign delet the ()
Step-by-step explanation:
3(2-5) – 4w=11
-9-4w=11
-4w=20
w=-5
you have to do parantasis first
p--parantasis
e--exponents
m--multiplication
d--division
a--adition
s--subtraction
Kimberly worked for 2 weeks. The shaded parts of the model represent the fraction of each week she worked from home.
Which expression can be used to determine the number of weeks Kimberly worked from home over these 2 weeks?
Answers
Answer
she worked 1 week and 1 day
Step-by-step explanation
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.
Answer:
Step-by-step explanation:
Complete the statement.
The polynomial function f(x) = ____.
(x + 2)(x - 2)(x + √3)
(x + 2)(x +√3)(x-√3)
(x - 2)(x + √3)(x-√3)
(x + 2)(x - 2)(x + √3)(x-√3)
Answers
Answer:
B
Step-by-step explanation:
edg 2020
The factorised form of given function f(x) is (x + 2)(x +√3)(x-√3) which is correct answer would be option (B).
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have been given the polynomial function:
⇒ x³ + 2x² - 3x -6
Simplify the radical by breaking the radicand up into a product of known factors.
⇒ x³ + 2x² - 3x -6
Add and subtract the second term to the expression and factor by grouping.
⇒ x²(x + 2) - 3(x + 2)
⇒ (x + 2)(x² - 3)
⇒ (x + 2)(x +√3)(x-√3)
Therefore, the factorised form of given function f(x) is (x + 2)(x +√3)(x-√3).
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The question seems to be incomplete the correct question would be
If a polynomial function is x³ + 2x² - 3x -6 find the factorized form which is f(x)
The polynomial function f(x) = ____.
Which value for k makes the equation 42 ÷ k = 14 true? Select all that apply. A. 588 B. 62 C. 1452 D. 3 E. 23
Answers
3 is the value of k in the Linear equation .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to be linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
equation 42 ÷ k = 14
42/k = 14
42 = 14 * k
k = 42/14
k = 3
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Sara had $108 to spend on 8 books. After buying them she had $12 left. Let b represent the cost of each book. Which equation represents this situation?
Answers
Answer:
12
Step-by-step explanation:
you take 108-12=96
then you take 96/8=12
please answer i know the picture is a little blurry but please i will give you brainliest!!
Answers
Answer: the 1st one.
Step-by-step explanation: becuase today I was helping out a freind with this. So it the first one
Elena says I find 25.44 and then move the decimal point
Answers
Answer: help a homegirl out
Step-by-step explanation: let me get these points please
Two students are reading a novel. Ashley reads 2 pages per day. Carly reads 1 page per day, but she starts early and is already on page 5. When will the two students read on the
same page?
Ashley:p=2d
Carly:p=d+5
Answers
What is the simplified form of (-3xy)(5xy-1)?
Answers
Answer:
-15x²y²+3xy
Step-by-step explanation:
((−3x)(y))(5xy−1)
=((−3x)(y))(5xy+−1)
=((−3x)(y))(5xy)+((−3x)(y))(−1)
=−15x²y²+3xy
Add.
(2x - 7) + (3x - 1)
O A. 5x - 8
B. 5x + 8
O C. 5x-6
D. 5x + 6
Answers
In the triangle below, angle B measures 60° and BC is 18. What is the length of AC?
Right triangle A B C is shown. Side B C is the hypotenuse.
9 StartRoot 3 EndRoot
StartFraction 9 Over StartRoot 3 EndRoot EndFraction
9
StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Answers
Answer:
The Answer is D StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
Trust me edge 2022
Which relationships describe angles 1 and 2 ?
select each correct answer
-complementary angles
-vertical angles
-supplementary angles
-adjacent angles
Answers
Please help, I will give brainliest, I am struggling badly.
Answers
Answer:
3rd option is the amswer
how to solve 3(w+3)-6w?
Answers
Answer:
-3w+9
Step-by-step explanation:
3(w+3)-6w
distribute
3w+9-6w
combine like terms
-3w+9
Answer:
Step-by-step explanation:
Brandon is 5 years older than his brother Hermie. There combined age is 23. How old is Brandon?
Find Brandon's age using the following equation:
2 + (x + 5) = 23
A
9
14
15
Answers
Answer:
9
Step-by-step explanation:
9 +5 = 14
14 +9 = 23
10. Put the numbers into least to greatest order: -33/5, 3 1/3, 3.3, -3.5
Answers
Answer:
Answer:
Order from Least to Greatest
-33/5 < -3.5 < 3.3 < 3 1/3
Step-by-step explanation:
Solve 22x − 2 = 15. Round your answer to the nearest hundredth.
Answers
Answer:
0.77
Step-by-step explanation:
Original equation: 22x-2=15
Add 2 to both sides: 22x=17
Divide by 22 on both sides: x=17/22, or 0.77
Let me know if this helps!
What is the inverse of the function f(x) = 2x+1
Answers
Answer:
The answer is b. h(x) = one-halfx – one-half
Step-by-step explanation:
Answer:
hey everyone its b!!!
Step-by-step explanation:
Is the following set a function?
{(-3, -27), (-2, -18), (1, -9), (0, 0), (1,9), (2, 18), (3, 27)}
A) Yes
B) No
Answers
Answer:
yes i think
Step-by-step explanation:
Mark each statement True or False.
1. The equation Ax = b is referred to as a vector equation.
A. True
B. False
2. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.
A. True
B. False
3. The equation Ax = b is consistent if the augmented matrix [A b] has a pivot position in every row.
A. True
B. False
4. The first entry in the product Ax is a sum of products.
A. True
B. False
5. If the columns of an m x n matrix A span Rm, then the equation Ax = b is consistent for each b in Rm.
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
False
True
False
True
True
I need help here with explanation pleaseeeee
Answers
Write an expression that has 5 terms and that is equivalent to 5x+y
Answers
The expression should be written when there is 5 terms and that is equivalent to 5x+y should be likely 5x + y - 2 + 3 - 1.
Calculation of an expression;Since we have to determine the 5 terms
And, it should be equivalent to 5x + y
So here the equation be like
= 5x + y - 2 + 3 - 1
hence, The expression should be written when there is 5 terms and that is equivalent to 5x+y should be likely 5x + y - 2 + 3 - 1.
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Roger has two golden retrievers, Sadie and Buddy. buddy weighs 14 pounds more than Sadie. If their total weight is 136 pounds, how much does Sadie weigh
Answers
Answer:
Sadie weighs 61 pounds.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
Sadie's weight is x.
Buddy's weight is y.
Buddy weighs 14 pounds more than Sadie.
This means that [tex]y = x + 14[/tex]
Their total weight is 136 pounds.
This means that
[tex]x + y = 136[/tex]
Since [tex]y = x + 14[/tex]
[tex]x + x + 14 = 136[/tex]
[tex]2x = 122[/tex]
[tex]x = \frac{122}{2}[/tex]
[tex]x = 61[/tex]
Sadie weighs 61 pounds.
Three out of nineteen students will ride in a car instead of a van. How many ways can those three students be
chosen? Use the following formula.
n!
r
C(n, r) = r!(n-1)!
Answers
Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0
Answers
The Vertex is (-2,1)
And the focus is (-2,3)
