Question 3 of 5
Select the correct answer.
Which of these tables represents a function?
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2
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-3
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1
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-3
9
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1
1
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3
0
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3
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-3
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Answers
Answer:
only Y
Step-by-step explanation:
all the others have for at least 1 value of x more than one different y values defined.
but a function must be clear about the association between an x unit value and the corresponding result.
many different input values can have the same functional result. but there can be only one defined result per input value. otherwise it is not a function.
you cannot say 1+1 = 2 or 3. it is either 2 or 3, but you need to define what. you can't leave it open.
The function is given by the table Y
x = { -3 , 2 , 0 , 3 } and y = { 1 , 1 , 1 , 1 }
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 x values of the function be represented as
x = { -3 , 2 , 0 , 3 }
Now , the y values of the function is
y = { 1 , 1 , 1 , 1 }
From the table , we can see that for every different values of x there are range of values of y
No two same values of ranges have the same domain
Therefore , it is a function
Hence , the function is table Y
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Related Questions
help asap ---------------------------------------------------------
Answers
Answer:
Correct answer #1
Step-by-step explanation:
The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the profit
Answers
Answer: [tex]4[/tex] pairs
Step-by-step explanation:
Given
Profit on selling 'x' pairs of shoes is [tex]P(x)=-4x^2+32x-39[/tex]
Find the derivative of the function to find out the critical points
[tex]\Rightarrow -8x+32=0\\\Rightarrow x=4[/tex]
Thus, for 4 pair of shoes profit is maximize.
Answer:
4 pairs of shoes.
Step-by-step explanation:
Directions: Solve for the missing proportion in each of the following problems.
9. 12/n = 20/25
10. 5/8 = n/24
11. 2/3 = 16/n
12. 12/14 = n/21
13. n/10 = 6/15
14. 12/3 = 10/n
15. 5/n = 10/16
16. 12/8 = 4/n
Answers
Answer:
Step-by-step explanation:
9) 12/n=20/25
simplify 20/25=4/5
12/n=4/5
cross product
n*4=12*5
4n=60
n=60/4
n=15
The missing proportion in each of the following problems shown below:
What is equation?Statement of equality between two expressions consisting of variables and/or numbers
9) 12/n=20/25
12/n=4/5
n*4=12*5
4n=60
n=60/4
n=15
10) 5/8=n/24
8n= 5*24
8n= 120
n= 120/8
n=15
11) 2/3= 16/n
2n=48
n=24
12) 12/14= n/21
n=18
13) n/10 = 6/15
n=4
14) 12/3 = 10/n
n= 2.5
15) 5/n = 10/16
n=8
16) 12/8 = 4/n
n=8/3
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Pls help ASAP!!!!!
Find the average rate of change from d=4
to d=11 for the function f(d) = 5(1.02)^d. Describe the process and steps he used and explain what the average rate of change represents.
Answers
Answer:
0. 116
Step-by-step explanation:
The function is given as :-
[tex]\boxed{f(d) = 5(1.02)^d }[/tex]
and we have to find the rate of change from d = 4 to d = 11
[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]
The final input value is 11 whereas the initial input value is 4.
The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).
[tex]{\underline{Initial\:Output}}[/tex]f(4) = [tex]5(1.02)^4[/tex]
f(4) = 5 × 1. 08
f(4) = 5. 41
[tex]{\underline{Final\:Output}}[/tex]f(11) = [tex]5(1.02)^11[/tex]
f(11) = 5 × 1. 24
f(11) = 6. 22
[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]
[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]
Given ABC=65 and BCD=105. Is it possible that Line AB intersects line CD
Answers
Given:
[tex]m\angle ABC=65^\circ[/tex]
[tex]m\angle BCD=105^\circ[/tex]
To find:
Whether it is possible that Line AB intersects line CD.
Solution:
We have,
[tex]m\angle ABC=65^\circ[/tex]
[tex]m\angle BCD=105^\circ[/tex]
The angles [tex]m\angle ABC[/tex] and [tex]m\angle BCD[/tex] are same sided interior angles.
If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.
[tex]m\angle ABC+m\angle BCD=65^\circ+105^\circ[/tex]
[tex]m\angle ABC+m\angle BCD=170^\circ[/tex]
[tex]m\angle ABC+m\angle BCD\neq 180^\circ[/tex]
So, the lines AB and CD are not parallel to each other.
Therefore, the intersection of lines AB and CD is possible.
Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12? (1 point)
x greater than or equal to −5
x less than or equal to −5
−5 less than or equal to x
A number line with a closed circle on negative 5 and shading to the right
Answers
Answer:
x less than or equal to -5
Step-by-step explanation:
2(x-1) ≥ -12
2x - 2 ≥ -12
2x ≥ -10
x ≥ -5
For which equations below is x = -3 a possible solution? Select three options.
|x|=3
|x|=-3
|-x|=3
|-x|=-3
-|x|=-3
Answers
Answer:
-|x|=-3
|x|=-3
|-x|=-3
Step-by-step explanation:
Answer:
Only -lxl = -3 works
Step-by-step explanation:
The other options don't work because they all have numbers inside of the absolute value brackets. You would always get a positive end value when the absolute value equation is applied.
The last one is the only one that works because the negative is outside of the absolute value bracket. Therefore, if you plug in 3 for x, it will give you -3.
Which must be true of a quadratic function whose vertex is the same as its y-intercept?
Answers
Answer:
A
Step-by-step explanation:
because y-intercept is when x=0, so right on the y axis.
if f(x) = 2x/7 +4, which of the following is the inverse of f(x)?
Answers
Answer:
The answer is C
Step-by-step explanation:
Switch x and y
[tex]x = \frac{2y}{7} + 4[/tex]
Solve for y
[tex]y = \frac{7(x - 4)}{2} [/tex]
Question 2: use the image and your knowledge of the isosceles triangle to find the value of x
Answers
Answer:
x is 66 degrees
Step-by-step explanation:
since its a isosceles, two of the angles should be the same.
The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(–3, –1)
(–3, 5)
(–3, 5) and (–1, 9)
(1, 13) and (3, 20)
Answers
Answer:
(–3, 5) and (–1, 9)
Step-by-step explanation:
if you just plug the numbers in they fit :)
The solution of the system of equations is (–3, 5) and (–1, 9).
What is the System of the equation?Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution of a system of equations is the point where the line of the equations intersects, therefore, the solution of the system of equations is (–3, 5) and (–1, 9).
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Ariel has 20 bouncy balls. He later then sold them for a price of $2 per ball to his best friend, Mike Hawk. Later, Ariel has gotten back 1/69 of his original amount of bouncy balls and got 20 more. How many bouncy balls does Ariel have?
Answers
Answer:
420
Step-by-step explanation:
Tegan is checking her tax bill for the last year.
The tax rates were as follows:
• No tax on the first £11 000 of earnings
• Earnings in excess of £11 000 and up to £43 000 taxed at a rate of 20%
• Earnings in excess of £43000 and up to £150 000 taxed at a rate of 40%
• Earnings over £150 000 taxed at a rate of 45%
Last year, Tegan earned £48 300 before tax.
How much tax did she pay in total?
Answers
Answer:
£8520
43000-11000=32000
20/100×32000
£6400
48300-43000=5300
40/100×5300=2120
£8520
40 points if helped, question is in the picture
Answers
Step-by-step explanation:
0.484848 =x
x=0.48-------1
100x=48.48-----2
2-1
100x-x =48.48-0.48
99x= 48
x =48/99
[tex]x = \frac{48}{99} \\ x= \frac{48 \div 3}{99 \div 3} \\ x = \frac{16}{33} [/tex]
(c) The perimeter of a rectangle with length 2r cm and width 5 m is 14 m.
Answers
HELPPPPPPPPPPPPPPPP SOMEONE !!!What is the rate of change of the amount earned with respect to hours worked for this function?
hours per dollar
hours per dollar
3 dollars per hour
13 dollars per hour
Answers
Answer:
$13 per hour
Step-by-step explanation:
This is because 26÷2=13, 65÷5=13
What is the equation of the line that has a slope of 3 and passes through the point (1, -2)
Answers
Answer:
y= 3x -5
Step-by-step explanation:
The equation of a line can be written in the slope- intercept form, y= mx +c (where m is the slope and c is the y- intercept).
Given that the slope is 3, m= 3. Substitute m= 3 into the equation.
y= 3x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 1, y= -2,
-2= 3(1) +c
-2= 3 +c
c= -2 -3
c= -5
Thus the equation if the line is y= 3x -5.
what is the average number of students who like cookies, chips, and crackers?
Cookies=10
Chips=3
Crackers=2
Answers
Answer:
m = 15/3 = 5 is the mean
Step-by-step explanation:
Answer:
5 Students But divide by 15/3 to 5
Step-by-step explanation:
What does Average mean?
1. a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.
So, to find the answer just ADD 10 + 2 + 3 = ?
10 + 2 = 12 So put that to the side for now.
Now, 10 + 2 = 12 + 3 = 15
So the total number of students who like cookies, chips, and crackers are 15.
Now do 15/3 to get 5.
7. Give an example of a polynomial with a degree of 3.
Answers
[tex]\large{\textrm{{{\color{navy}{ax³ + bx² + cx + d}}}}}[/tex]
It is a cubic polynomial.This cubic polynomial has 3 zeros.What is the slope of the graph?
Answers
Answer:
I believe it is 1, I might be wrong.
Step-by-step explanation:
Two points on the graph are (1,2) and (2,3)
The first set has variables of x1 and x2 the second has variables of y1 and y2.
The formula is y2 - y1/x2 - x1
Put in the values and you get 2 - 3/2-1.
You would get 1/1, which is equivalent to 1.
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please help guys !!!
Answers
Answer:
[tex] \frac{1}{4} \: \: \: \frac{1}{3} \: \: \: \frac{1}{2} \: \: \: \frac{7}{12} \: \: \: \frac{3}{4} [/tex]
Step-by-step explanation:
To arrange in ascending order, first make the denominators of all the fractions the same.
LCM of 2, 3, 4 and 12 is 12.
Now,
[tex] \frac{1}{3} = \frac{4}{12} [/tex]
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
[tex] \frac{1}{4} = \frac{3}{12} [/tex]
[tex] \frac{7}{12} \: \: will \: be \: \: \frac{7}{12} [/tex]
[tex] \frac{1}{2} = \frac{6}{12} [/tex]
Arranging these in ascending order:
[tex] \frac{3}{12} \: \: \: \frac{4}{12} \: \: \: \frac{6}{12} \: \: \: \frac{7}{12} \: \: \: \frac{9}{12} [/tex]
Enter the answer to the problem below using the correct number of significant figures 125× 6.1
Answers
Answer:
I think the answer is 762.5 if not correct pardon plz
ax + by = c and mx + ny = d and an # bm then these simultaneous equations have a) Only one common solution. b) No solution. c) Infinite number of solutions. d) Only two solutions.
Answers
Answer:
a) Only one common solutionStep-by-step explanation:
The first line has slope of a/b and the second one has slope of m/n.
As an ≠ bm ⇒ a.b ≠ m/n, the slopes are different.
Since the slopes are different the lines are not parallel, hence they intersect at one point.
This means there is one solution only.
ax + by = c and mx + ny = d and an # bm then these simultaneous equations have Only one common solution.
[tex]\sf{ }[/tex] [tex]\sf{ }[/tex]
Soso need help !
Plzzz n where can I find the answers to these pretest ain’t nobody got time for doin tha whole lesson lol thx xoxo
Answers
If AVB has a measure of 88° and VM is its angle bisector, what is the
measure of AVM?
A. 88°
B. 22°
C. 176°
D. 44
Answers
Answer:
B. 22°
Step-by-step explanation:
Angle bisector divides an angle into two equal angles.
Angle AVM = Angle MVM = Angle AVB / 2
Angle AVM = Angle AVB / 2
Angle AVM = 88 / 4
Angle AVM = 22°
Answer:
44
Step-by-step explanation:
Please someone help I can not get past this question
Answers
Answer:
65.76 m
Step-by-step explanation:
This figure is split into three shapes: a right triangle, a rectangle, and a semi- circle. To find the area of the figure you can start by figuring out the area of each of the three shapes mentioned above, then adding their areas together. I'll write the numbers without the unit to make it simpler since it won't cancel out or anything.
Starting with the triangle:
1/2(b*h)=a
We see the base is 3, and the height is 5 (because the two opposite sides of a rectangle will be congruent) so if you plug the numbers into the formula you get:
1/2*15=a or 15/2=a
a=7.5
Then we calculate the area of the rectangle:
l*w=a
5*6=a
30=a
Then the area of the semi circle:
First we find the area as if it were a full circle by the equation using 3.14 as pi and 3 as r (since the denominator is 6 and half of 6 is 3):
3.14*r^2=a
3.14*3^2=a
3.14*9=a
28.26=a
Finally, we add all three areas from above:
7.5+30 + 28.26 = 65.76
Four graphs are shown below:
Scatter plot A shown with data points that move in an upward direction and are located at 1 and 0.3, 2 and 1, 3 and 2, 4.1 and 4, 5.2 and 6.1, 5.9 and 9.5. Additional points are located at 4.6 and 5, 5.8 and 7.4, 5.2 and 7.1. Scatter plot B is shown with data points that move in an upward direction and are located at 1 and 3, 2 and 4, 3 and 5, 4 and 6, 5 and 6, 6, and 7, 7 and 8, 8 and 9. Scatter plot C is shown with data points that move in a downward direction and are located at 1 and 8.7, 4 and 5.6, 5 and 4.3, and 6 and 0.5. Additional points are located at 5.9 and 1.5, 5.5 and 3.5. Scatter plot D is shown with data points that move in a downward direction and are located at 0 and 7, 1 and 6, 2, and 5, 3 and 4, 4 and 3, 5 and 4, 6, and 5.
Which graph represents a negative linear association between x and y?
Graph A
Graph B
Graph C
Graph D
Answers
Answer:
graph D
Step-by-step explanation:
because d it at 0 then moves
Answer:
a
Step-by-step explanation:
daca cel mai mare divizor comun al lor a si b este 21 iar produsul lor este 15435 cat sunt a si b
Answers
Answer:
[tex]{\dag{\underline{{\sf{\red{t {}^{2} = \: \dfrac{4.05}{5} \: = 0.81 \: , \: \: t = 0.9s}}}}}}[/tex]
If the result of multiplying a number by 8/3 and then dividing the product by 7/2is 4/7,find the number.
Answers
Answer:
3/4
Step-by-step explanation:
[tex]\frac{x}{y} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7}\\\frac{3}{4} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7 }[/tex]
