Which set of ordered pairs does not represent a function?
a
O{(-6, -9), (-2, -3), (–9,2), (2, -3)}
O {(-2,0), (-5,8), (7,9), (6,8)}
O {(6,9), (-7,8), (1, –4), (8,8)}
O{(-2, -6), (-1,2), (-2, – 7), (6,6)}
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Answers
Answer:
Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}
Step-by-step explanation:
Definitions:A function is a relation for which no two ordered pairs have the same first component (or x-values) and different second component (y-values). The set of first components is the input, also referred as the domain. The set of second components is the output, also referred as the range.In order to determine whether a given relation is a function, one must always take notice of the x-values ⇒ make sure that an x-value does not have more than one corresponding y-value.
Solution:Option 1: {(-6, -9), (-2, -3), (–9,2), (2, -3)} ⇒ This relation is a function. Each input has one corresponding output.
Option 2: {(-2,0), (-5,8), (7,9), (6,8)} ⇒ This relation is also a function. Each input has one corresponding output.
Option 3: {(6,9), (-7,8), (1, –4), (8,8)} ⇒ This relation is also a function. Each input has one corresponding output.
Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)} ⇒ This relation is not a function. The x-value, x = -2, has two corresponding y-values: y = -6, and y = -7.
Therefore, the correct answer is Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}.
Answer:
the last one {(-2, -6), (-1,2), (-2, – 7), (6,6)}
Step-by-step explanation:
it has 2 of the same x values with 2 different y coordinates, in other words it fails the vertical line test.
Related Questions
Ali and Ben have a total of 36 CDs. After Ali gives Ben 40% of her CDs, Ben has twice as many as Ali. How many CDs did Ali have originally?
Answers
Answer:
I believe the answer is 20 cds
Step-by-step explanation:
got Ben to have twice her CDs he would have to have 24 while she had 12.
if Ali gave away 40 percent than 12 would be 60 percent.
from there I cross multiplied.
If the total number of CDs is 36, it is not possible to distribute them in a way that Ben receives twice as many as Ali after Ali gives away 40% of her CDs.
Let's assume the number of CDs Ali originally had is "x," and the number of CDs Ben originally had is "y."
According to the information given:
1. Ali and Ben have a total of 36 CDs: x + y = 36
2. After Ali gives Ben 40% of her CDs, Ben has twice as many as Ali:
Ali gives away 40% of x, which is 0.4x CDs.
After this, Ali has x - 0.4x = 0.6x CDs left.
Ben receives 0.4x CDs from Ali and now has y + 0.4x CDs.
According to the second statement, y + 0.4x = 2(0.6x).
Now, we have a system of two equations:
x + y = 36 ........(1)
y + 0.4x = 2(0.6x) ........(2)
First, let's simplify equation (2):
y + 0.4x = 2(0.6x)
y + 0.4x = 1.2x
Now, to solve for x, isolate y in equation (1) and substitute it into equation (2):
y = 36 - x
Substitute y in equation (2):
36 - x + 0.4x = 1.2x
Combine like terms:
36 = 1.2x + x - 0.4x
36 = 1.6x
Now, solve for x:
x = 36 / 1.6
x = 22.5
Since the number of CDs cannot be a decimal, let's reevaluate the equations.
From equation (1):
x + y = 36
Substitute the value of x we found:
22.5 + y = 36
y = 36 - 22.5
y = 13.5
Now, we have found that Ali originally had 22.5 CDs, which is not possible. However, since the number of CDs must be a whole number, it means there might be a mistake in the problem statement.
To know more about Ben:
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HELP pleaseeeeeeeeee
Answers
Answer:
Or is separate
And is together
a(-3)=5 What will a equal
Answers
Answer:
a = - 5/3
Step-by-step explanation:
Find an equation of the line that passes through the points (-2, 1) and (3, 3). Write your equation in either point-slope form, standard form, or slope-intercept form.
Answers
m=3-1/3+2=2/5
Equation of line in point slope. form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]
[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]
[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]
The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
What is the slope of the line?The slope of a line is defined as the angle of the line.
Given that line passes through the points (-2, 1) and (3, 3)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = -2, y₁ = 1
x₂ = 3, y₂ = 3
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]
⇒ y - 1 = (2)/(5)[x+2]
⇒ y - 1 = 2/5(x -3)
⇒ y = (2/5)x - 6/5 + 1
⇒ y = (2/5)x - 1/5
Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
Learn more about the Lines here:
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solving systems of equations in three variables
Answers
Answer:
A: (x = 34, y = -27, z = -1)
Step-by-step explanation:
Plug the variables in. It might be tedious, but it guarantees you get it right.
Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.
In case you still weren't sure if the answer was A or not;
B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.
C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.
D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!
A is the correct answer.
I really need help pls!!
Answers
Answer:
116
Step-by-step explanation:
First, find x. The three angles of any triangle will always equal 180, so set up an equation like this:
(14x+4)+(5x-1)+(2x+9)=180
x=8
Then to find angle A put 8 in place of x. 14(8)+4=116
Answer:
[tex]116 \degree[/tex]
Step-by-step explanation:
Interior angles of a triangle is added up to 180°
Therefore,
[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree\\ [/tex]
Now you can solve this equation and find the value of x
[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree \\ 14x + 5x + 2x + 4 - 1 + 9 = 180 \\ 21x + 12 = 180 \\ 21x = 180 - 12 \\ 21x = 168 \\ \frac{21x}{21} = \frac{168}{21} \\ x = 8[/tex]
Now you can Find the value of <A
[tex]14x + 4 \\ 14 \times 8 + 4 \\ 112 + 4 \\ = 116 \degree[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
3(2x + 5) + 4(3x - 2)
Answers
Answer:
18x+7
Step-by-step explanation:
3(2x + 5) + 4(3x - 2)
6x+15 + 12x - 8.........distribute
18x+7..........................combine like terms
18x+7
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]3(2x + 5) + 4(3x - 2)[/tex]
You have to distribute:
[tex]=(3)(2x)+(3)(5)+(4)(3x)+(4)(-2)[/tex]
[tex]=6x+15+12x+-8[/tex]
You must combine like terms:
[tex]=6x+15+12x+-8[/tex]
[tex]=(6x+12x)+(15+-8)[/tex]
[tex]=18x+7[/tex]
ANSWER:
[tex]=18x+7[/tex]
Hopefully, this helps you!!
[tex]Sokka[/tex]
i need the solution to this problem pls!
Answers
Answer:
FE = 43.2
Step-by-step explanation:
FE/36 = 24/20
multply both sides by 36
FE = 24/20 * 36
FE = 43.2
Pls help me solve this
Answers
Answer:
F. Yes, by the SAS Congruence Theorem
Explanation:
In △ABC and △EDC:
BC = CD (given)AC = CE (given)∠ACB = ∠ECD (vertically opposite angles)Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.
△ABC ≅ △EDC
Trinity already has $135 dollars in her savings account. If she puts $15 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $480 in her account.
Answers
Answer:
let x stand for number of weeks
135+15x>=480
x>=23
Step-by-step explanation:
subtract 135 on both sides
15x>=345
divide by 15 on both sides
x>=23 is your solution
Answer:10
Step-by-step explanation:
10
can someone help please :)
Answers
Zoom in so you can see it
I will give you 50 point and brain list
Answers
Answer:
so this is what it should be let me know if this Is wrong
i need help finding the product but i have to simplify. it., -w(-2w^2-3w+1)
Answers
Answer:
I have simplified it to −
2 ^ 3 − 3 ^2 +
Step-by-step explanation:
[tex] \large\color{green}{ \tt{2w³ +3w² −w}}[/tex]
Step by Step Solution: Use the distributive property to multiply – w by – 2x – 3w + 1.
[tex] \large\color{green}{ \tt{−2(−w)w² −3(−w)w−}}[/tex]
Multiply −2 and −1 to get 2.[tex] \large\color{green}{ \tt{2ww² − 3(− w)w − w}}[/tex]
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.[tex] \large\color{green}{ \tt{2w³ − 3(−w)w − w}}[/tex]
Multiply −3 and −1 to get 3.[tex] \large\color{green}{ \tt{2w³ + 3ww − w}}[/tex]
Multiply w and w to get w².[tex] \large\color{green}{ \tt{2w³ + 3w² - w}}[/tex]
Hope It's Help
Math question in attachment
Answers
Answer:
Nope
Step-by-step explanation:
If you do the line test you would see that two dots touch the line and that means it is not a function.
Determine the measure of angle ∠ABD.
a) 48
b) 12
c) 90
d) 24
Answers
Answer:
24 or 12
Step-by-step explanation:
Find the equation of the line passing through the following : (-1;6) and (-3;0)
Please help...
Answers
Answer:
Step-by-step explanation:
[tex](x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3[/tex]
Equation of the line: y= mx +b
y = 3x + b
Substitute ((-1 , 6) in the above equation
6 = 3*(-1) + b
6 = -3+b
6 +3 = b
b = 9
y = 3x + 9
The wire is 25 feet long is stretched from the top of a flagpole to the ground at a point 15 feet from the base of the pole .how high is the flag pole
Answers
Answer:
20 feet
Step-by-step explanation:
Using Pythagoras rule:
25^2 - 15^2
625 - 225
400
√400 = 20 feet
d
=
√
(
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2
−
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1
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2
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(
y
2
−
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2
Evaluate
d
if
(
x
1
,
y
1
)
=
(
2
,
−
4
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and
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x
2
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y
2
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=
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4
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3
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.
Leave your answer in surd form.
Answers
[tex](x_1, y_1) = (2,-4) ,~~~(x_2 , y_2) = (4,3)\\\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\=\sqrt{(4 - 2)^2 + (3+4)^2}}\\\\=\sqrt{2^2 + 7^2} = \sqrt{4+49} = \sqrt{53}[/tex]
help me please thanks
Answers
Answer:
h(t) = -3 + 1.5t
Step-by-step explanation:
Well, the temperature starts at -3, so that will be the y intercept. 1.5 is the rate, so that will be the slope.
h(t) = -3 + 1.5t
Please.....................
Answers
Answer:
B
Step-by-step explanation:
7x-2y=-29
9x+10y=13
emliantion substuion methd
Answers
Answer:
(-3, 4)
Step-by-step explanation:
5(7x - 2y = -29)
35x - 10y = -145
9x + 10y = 13
44x = -132
x = -3
7(-3) - 2y = -29
-21 - 2y = -29
-2y = -8
y = 4
I need this solved with the answer as an ordered pair
Answers
Answer:
look at the picture i have sent
16+16×5+7+7+7+7+7+7+7+7+7+7+7+7
Answers
Answer:
180
Step-by-step explanation:
[tex]16+16*5+7+7+7+7+7+7+7+7+7+7+7+7\\16+80+7+7+7+7+7+7+7+7+7+7+7+7\\16+80+84\\180[/tex]
Answer:
180
Step-by-step explanation:
simplify 2 by 3 multiply by 2 plus 3 1 by 3
Answers
Step-by-step explanation:
[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]
[tex] \\ = \frac{4 + 10}{3} [/tex]
[tex] \\ = \frac{14}{3} [/tex]
[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]
-2x + 2y = 10
Y = x + 5
A. The graphs of the equation are lines that intersect at one point because the equations have the same slope and same y-intercept. Therefore, the system has exactly one solution.
B. The graphs of the equations are the same line because the equations have the same slope and same y-intercept. Therefore, the system has infinitely many solutions.
C. The graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. Therefore, the system has exactly one solution.
D. The graphs of the equations are parallel lines because they have the same slope but different y-intercepts. Therefore, the system has no solution.
Answers
-2x +2y=10 and y =x+5 are the same
Evaluate: 5x + 1 when x = 2.
Answers
Answer:
answer is like 10aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Select the correct answer.
Consider these functions:
Rx) = 5x + 2
g(x) = x-1
What is the value of g(1-1))?
A. 2
OB. 8
OC.
22
D.
48
Answers
Answer:
- 8
Step-by-step explanation:
Evaluate g(- 64) then substitute the value obtained into f(x)
g(- 64) = [tex]\sqrt[3]{-64}[/tex] + 1 = - 4 + 1 = - 3 , then
f(- 3) = (- 3 + 1)³ = (- 2)³ = - 8
A recent tornado damaged Jack's house and left it a little distorted. A question on the insurance form asked, "What shape is the house in?" Jack replied, "An irregular convex pentagon. The sum of the measures of the Interior angles of the 5-sided house is 540 find the Value x
Answers
Answer:
45
Step-by-step explanation:
2x+2x+2x+3x+3x=540(sum of angels in a five sided polygon)
12x=540
x=45
explain why the area of the circle is less than 4 square units
Answers
Answer:
50ithe distance between two cities X and Y is 50 km Ramesh travel from City a to city y by scooter with an average speed of 30 km per hour how long will it take him to reach city y
Identifying values in the domain PLS HELP