Is the following relation a function? Justify your answer.
y
X
6
-1.
4
2
-1
3
O No, because there is an input value with more than one output value
O No, because there is an output value with more than one input value
Yes, because each input value has only one output value
Yes, because each output value has only one input value
Answers
No, because there is an input values with more than one output value is the following relation a function.
Based on the given function is,
x y
6 2
-1 -1
4 3
What is the Function :A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
So,
We can write,
One input value has more than output values.
In this function we have,
-1 is mapped to both -2 and -1
In this case,
-1 input value is mapped to both output values of -2 and -1.
Therefore,
No, because there is an input values with more than one output value is the following relation a function.
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Related Questions
The value of a stock decreases by an average of 17 dollars each week. Which of the following represents the total average decrease in the stock after 6 weeks?
6|−17| = 102 dollars
|−17| − |6| = 11 dollars
|−17| − 6 = 11 dollars
−6|17| = 102 dollars
Answers
The total average decrease in the stock after 6 weeks is represented by 6|−17| = 102 dollars.
It is given that the value of a stock decreases by an average of 17 dollars each week.We need to find the total average decrease in the stock after 6 weeks.Let the starting price of the stock be "p".Let the number of weeks passed be represented by "x".We know that each week, the value of the stock decreases by 17 dollars.So, in "x" number of weeks, the decrease in the price of the stock is the product of the decrease per week and the number of weeks.The decrease in the price of the stock is |-17|*x.We need to find the decrease after 6 weeks.This means that the value of "x" is 6.The decrease in the price of the stock is |-17|*6.The decrease in the price of the stock is 102.Thus, the equation that represents the above situation is 6|−17| = 102 dollars.To learn more about equations, visit :
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find the equation of the line in slope–intercept form that passes through the following point with the given slope. Simplify your answerPoints (-10, -6); Slope = -4
Answers
Given:
[tex](x_1,y_1)=(-10,-6)\text{ ; slope(m)=-4}[/tex][tex]y-y_1=m(x-x_1)[/tex][tex]y+6=-4(x+10)[/tex][tex]y+6=-4x-40[/tex][tex]y=-4x-46[/tex]Above equation is the slope intercept form.
Use the normal distribution to the right to answer the questions. (a) What percent of the scores are less than 19? (b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21?
Answers
Percent of the scores are less than 19 is 45.4%.
591 many would be expected to be greater than 21.
A data set with a normal distribution has the majority of its values clustered in the middle of the range, while the remainder taper off symmetrically toward either extreme.
(a) μ = 19.6, σ = 5.2
First, find the z-score.
z = (x − μ) / σ
z = (19 − 19.6) / 5.2
z = -0.115
To calculate the probability, use a chart or calculator.
P(Z < -0.115) = 0.454
45.4 % of the scores are under 19.
(b) First, find the z-score.
z = (x − μ) / σ
z = (21 − 19.6) / 5.2
z = 0.269
To calculate the probability, use a chart or calculator.
P(Z > 0.269) = 1 − P(Z < 0.269)
P(Z > 0.269) = 1 − 0.606
P(Z > 0.269) = 0.394
Among the scores, 39.4% are higher than 21.
There are 1500 scores, therefore 591 represent 39.4% of those.
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Which logical symbol would you use to change the sentence, "He can get his driver's license," into, "He cannot get his driver's license"?
Answers
Answer: The logical symbol for that sentence isV
If 49600 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years for the following compounding methods. a) annual: b) semiannual: c) monthly: d) daily:
Answers
a) Value of invest when compounded annually= $72878.67
b) Value of invest when compounded semi-annually is $73420.12
c) Value of invest when compounded monthly is $73896.35
EXPLANATION
a)Annually
Given:
Principal(p)= 49600
rate (r) = 8% = 0.08
time(t) =5
Since it is compounded anually, n=1
Using the formula;
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]Substitute the value and evaluate.
[tex]A=49600(1+\frac{0.08}{1})^5[/tex][tex]=49600(1.08)^5[/tex][tex]=72878.67[/tex]Therefore, the value of the investment when compounded annually is $72878.67
b) Semi-annually
In this case, the we are going to substitute all our initial values except for n.
In the case of semi annually, n= 2
That is;
Principal(p)= 49600
rate (r) = 8% = 0.08
time(t) =5
n=2
Substitute into the formula and evaluate.
[tex]A=49600(1+\frac{0.08}{2})^{2\times5}[/tex][tex]=49600(1+0.04)^{10}[/tex][tex]=49600(1.04)^{10}[/tex][tex]=73420.12[/tex]Therefore, the value of the investment when compounded semi-annually is $73420.12
c)monthly
In this case n= 12 and all other values remains the same.
That is;
Principal(p)= 49600
rate (r) = 8% = 0.08
time(t) =5
n=12
Substitute the values into the formula and evaluate.
[tex]A=49600(1+\frac{0.08}{12})^{12\times5}[/tex][tex]=49600(1+0.667)^{60}[/tex][tex]=49600(1.0667)^{60}[/tex][tex]=73896.35[/tex]Therefore, the value of the investment when compounded monthly is $73896.35
Hey anyone mind helping me please? Without the random numbers.. I actually need help.
Answers
Answer:
A
Step-by-step explanation:
Corresponding sides of similar figures have proportional side lengths.
Find the variance of the given data
147, 141, 120, 124, 128
The answers that I already tried are
11.510864 and rounded
10.29563 and rounded
Answers
Answer:
......................................
Step-by-step explanation:
Find the measures of angle x and angle y
Answers
the 2 angles are equal so both are 148
Factor the polynomial completely.
x3 + 6x + x2 + 6
Group of answer choices
(x2 + 1)(x + 6)
(6x + 1)(x + 1)
(x2 + 6)(x + 1)
(x2 + 1)(6x + 1)
Answers
The factors of the given polynomial are (x² +6) (x +1) =0.
Define polynomial.A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x. An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable). A sizable subset of algebraic expressions are polynomials. Polynomials are any expressions where the powers of the variables are all whole numbers. They frequently have a wide range of applications since they encompass such a sizable portion of all algebraic expressions.
Given Data
Polynomial
x ³+ x²+6x +6
Factorizing,
x²(x +1) + 6(x+1) =0
(x² +6) (x +1) =0
Option C) is correct.
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The equation of a line is x + 5y = 12. What is the y-intercept of the line? D-12 0¹2 12 please answer quickly
Answers
Answer:
12/5
Step-by-step explanation:
Find the y-intercept form of the line by isolating y:
x + 5y = 12
5y = -x + 12
5 5
y = (-1/5)x + 12/5
y = mx + b
In this form, 12/5 is b, which is the line's y-intercept.
Please help it’s due tonight I will give a brainlist
Answers
The seller's marked up price is 0% of 279.30 cost is 279.30
For the seller,
The cost price of the T.V. is $210.00
The selling price of the T.V. is $279.30
If the seller's mark up the price 33% of 210 cost.
The marked up price = 210 + 33% of 210
= 210 + (33/100) x 210
210 + 0.33 x 210
210 + 69.3
Therefore, the seller's marked up price was 33% of 210 cost is 279.30
Percent markup on the selling price of 279.30 is
279.30 + x% of 279.30 = 279.30
(x/100) 279.30 = 0
x = 0
Therefore the seller's marked up price is 0% of 279.30 cost is 279.30
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is 4 / 3 is 4 divided by 3/2 the same as 4 divided 2/3 explain.
Answers
We will investigate the equivalence of fractions.
We have the first statement as follows:
" 4 divided by 3/2"We will go ahead and decrypt the above statement mathematically by the use of fractions as follows:
[tex]\frac{4}{\frac{3}{2}}[/tex]We will now use the conversion of division operator to a multiplication operator by reciprocating the denominator as follows:
[tex]4\cdot\text{ }\frac{2}{3}[/tex]Simplify the above fraction as follows:
[tex]\frac{8}{3}[/tex]The next statement is given as such:
" 4 divided by 2/3"We will go ahead and decrypt the above statement mathematically by the use of fractions as follows:
[tex]\frac{4}{\frac{2}{3}}[/tex]We will now use the conversion of division operator to a multiplication operator by reciprocating the denominator as follows:
[tex]4\cdot\frac{3}{2}[/tex]Simplify the above fraction as follows:
[tex]6[/tex]If we compare the results of two statement we can say that the statements are not equal.
[tex]\frac{8}{3}\text{ }\ne\text{ 6}[/tex]Hello, I was wondering what [tex]f(x) = 4 \times {5}^{x} [/tex]would look like if it were graphed
Answers
Answer:
Step-by-step explanation:
For the given function,
[tex]f(x)=4*5^x[/tex]Since it is an exponential function,
Divide:5.52 x 1031.2 x 105Write your answer in scientific notation. For example, you'd enter 2.3*10^4 for 2.3 x 104
Answers
The question can be solved as follows:
[tex]\frac{5.52\times10^3}{1.2\times10^5}=\frac{5.52}{1.2}\times10^{-2}=4.6\times10^{-2}[/tex]Hence the value of the given expression in scientific notation is expressed as:
[tex]\frac{5.52\times10^3}{1.2\times10^5}=4.6\times10^{-2}[/tex]question will be in picture
Answers
Solution
Step 1
Trace 30mm per bacteria to the corresponding hour on the graph
From the traced line 30 bacteria per mm corresponds to 6 hours
The function y=f(x) is graphed below. Plot a line segment connecting the points on ff where x=-4 and x=1. Use the line segment to determine the average rate of change of the function f(x) on the interval −4≤x≤1.
Answers
The line connecting the points on the graph is shown below:
From it we notice that to get to the first point of the lineto the second we need to:
• Move down 6 squares; since each square has a length of 2 units this means that we move 12 units down.
,• Move 5 units to the right.
Therefore, we have that:
[tex]\begin{gathered} \Delta y=-12 \\ \Delta x=5 \end{gathered}[/tex]and that:
[tex]\text{ average rate of change=-}\frac{12}{5}[/tex]#4 ALGEBRA: Find the value of x and then determine the measure of the obtuse angle.
Answers
Answer:
See below
Step-by-step explanation:
The three angles sum to 180 degrees
4x + 3x + 8x = 180
15x = 180
x = 12
So the obtuse angle would be 8x
8 * 15 = 120°
You buy a bag of skittles that contains 500 pieces of candy in it. Each day you eathalf of the amount that is in the bag.1.Write an explicit and recursive formula for this sequence2.How many days will it take to where there is less than one skittle in the bag?
Answers
1. the sequence is:
500, 250, 125, ...
the common ratio (r) is:
250/500 = 1/2 = 0.5
125/250 = 1/2 = 0.5
So, the sequence is a geometric sequence.
Explicit formula:
[tex]\begin{gathered} a_n=a_1\cdot r^{n\text{ - 1}} \\ a_n=500\cdot0.5^{n\text{ - 1}} \end{gathered}[/tex]Recursive formula:
[tex]\left\{ \begin{aligned}a_1=500 \\ a_n=r\cdot a_{n\text{ - 1}}\end{aligned}\right.[/tex]2. In the formulas, n represents days. Using the explicit formula with an = 1, we get:
[tex]\begin{gathered} 1\text{ = 500}\cdot0.5^{n\text{ - 1}} \\ \frac{1}{500}=0.5^{n\text{ - 1}} \\ ln(\frac{1}{500})\text{ = (n - 1)}\cdot\ln (0.5) \\ \frac{ln(\frac{1}{500})}{ln(0.5)}+1\text{ = n} \\ 9.965=\text{ n} \end{gathered}[/tex]then, after 10 days there will be less than 1 skittle in the bag
Write an expression that could represent an estimated cost for the party. Use at least one letter. State what each part of the expression represents
Answers
The expression that can be used to represent the estimated cost for the party is T =si
How to illustrate the information?It should be noted that expression show the relationship between variables. We can get an estimated cost for the party by using the following expression:
T = s×i
where:
T = total cost of the ice cream party
s = number of ninth students
i = unit cost of ice cream
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As a reward for achieving their goals, all students in the ninth grade are invited to an ice cream party.
1) Write an expression that could represent an estimated cost for the party. Use at least one letter. State what each part of the expression represents.
A rectangle has a width of centimeters and a perimeter of centimeters. What is the rectangle's length?
Answers
Answer: We have to find the length and the width of the rectangle provided that the perimeter is 44m:
[tex]\begin{gathered} P=2L+2W=44\rightarrow(1) \\ \\ \end{gathered}[/tex]Therefore using the information provided and plugging in the equation (1) we get the following answer:
[tex]\begin{gathered} P=2L+2W=44 \\ \\ L=2W+4 \\ \\ P=2(2W+4)+2W=44 \\ 6W=36\rightarrow W=\frac{36}{6}=6 \\ \\ W=6m \\ \\ L=\frac{44-2W}{2}=\frac{44-12}{2}=16 \\ \\ L=16m \end{gathered}[/tex]
I NEED HELP! this is the problem. The area of the trapezoid is 3/4x - 1/4 square centimeters. write two different pairs of expressions that represent possible lengths of the bases
Answers
Answer:
Step-by-step explanation:
The area of a trapezoid is A=(a+b/2)*h
So if you plug in what you know
3/4x-1/4 = (a+b/2)h
You would need the height but if you do have the height you can plug that in then just add a and b together as one variable so you can make a pair that equals that.
1
5. What is the value of 4x² + x + x
11
2)
9
1|2
1/2
3) 10호
4) 17를
-1*
when x = 16?
Rational Exponent Defin
Answers
Answer:
[tex] 17\frac{1}{2} [/tex]
Step-by-step explanation:
Explanation in the photo.
the ratio of baseballs to basketballs is 3 to 7 if there are 21 basketballs how many baseballs are there? how many baseballs and basketballs in total?
Answers
Answer:
30 baseballs and basketballs
Hope I helped
Step-by-step explanation:
21 divided 7 = 3 times 3 = 9 plus 21 = 30 baseballs and basketballs in total.
Answer:9:21
Step-by-step explanation: 3*3=9 and 7*3=21
EASY MATH PLEASE ANSWER
Two trains leave the same station, each 40 minutes apart. Train X leaves first at 9:45 am and heads west at a speed of 144 km/h. Train Y leaves at noon and travels directly east at a speed of 165 km/h. How far apart are these trains at 1:30 pm? Show your work.
Answers
The two trains will be a distance of 1049 km apart after 1:30 pm.
Velocity, distance and time
Velocity v is given by the distance d divided by the time t, hence according to the following rule:
v = d/t.
In the context of this problem, both trains are moving in the opposite direction from the station, hence their distance will be the sum of the distances of each train from the station.
The velocity equation can be solved for the distance as follows:
d = vt.
For train X, the velocity and the time are given as follows:
Velocity of 144 km/h, as stated in the text.Time of 3.75 hours, as 1:30 pm is 3 hours 45 minutes after 9:45 am, which is the time the train left, and 45 minutes is 75% = 0.75 of 60 minutes, which is one hour.Hence the distance that the train X will be from the station at 1:30 pm is given by:
dX = 144 x 3.75 = 540 km.
For train Y, the velocity and the time are given as follows:
Velocity of 165 km/h, as stated in the text.Time of 3.0833 hours, as the train leaves 40 minutes after train X, hence 1:30 pm is 3 hours and 5 minutes after train X left, and 5 minutes is 5/60 = 0.0833 of an hour.Hence the distance that the train Y will be from the station at 1:30 pm is given by:
dY = 165 x 3.0833 = 509 km.
Then the distance between both trains is given by:
d = dX + dY = 540 km + 509 km = 1049 km.
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What is the distance between the points (3,4) and (1,5)?
Answers
Answer:
distance between the points (3,4) and (1,5) = 2.236
Step-by-step explanation:
The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]'
For:
[tex](X1, Y1) = (3, 4)\\\\(X2, Y2) = (1, 5)[/tex]
[tex]d = \sqrt {(1 - 3)^2 + (5 - 4)^2}\\\\d = \sqrt {(-2)^2 + (1)^2}\\\\d = \sqrt {{4} + {1}}\\\\d = \sqrt {5}\\\\d = 2.236068[/tex]
Answer:
Exact distance is [tex]\sqrt{5}[/tex]
Approximate distance is 2.2361
Round the decimal value however your teacher instructs.
====================================================
Work Shown:
I used the distance formula to get the following.
[tex](x_1,y_1) = (3,4) \text{ and } (x_2, y_2) = (1,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-1)^2 + (4-5)^2}\\\\d = \sqrt{(2)^2 + (-1)^2}\\\\d = \sqrt{4 + 1}\\\\d = \sqrt{5}\\\\d \approx 2.2361\\\\[/tex]
----------------
A slight alternative is to plot the points A(3,4) and B(1,5) and C(3,5).
Points A and B are the original points we were given. Point C helps form a right triangle. The hypotenuse is AB and the legs are AC and BC.
Leg AC = 1 unit and leg BC = 2 units
Use the pythagorean theorem [tex]a^2+b^2 = c^2[/tex] to plug in a = 1 and b = 2 to find that the hypotenuse is exactly [tex]c = \sqrt{5}[/tex] units long, which is the distance from A to B.
The vertex form of a function is g(x) = (x-3)² +9. How does the graph of g(x) compare to the graph of the function f(x) = x²?
• g(x) is shifted 3 units left and 9 units up.
• g(x) is shifted 3 units right and 9 units up.
• g(x) is shifted 9 units left and 3 units down.
• g(x) is shifted 9 units right and 3 units down.
Answers
The correct option is g(x) is shifted 3 units left and 9 units up, for the given graph of function f(x) = x².
Whats is referred as the translation?In geometry, translation refers to a function which also shifts an object a specified distance. The component is not otherwise altered. It hasn't been rotated, mirrored, or resized.Every spot of the item should be moved in same direction for much the same distance during a translation.When conducting a translation, this same initial object is referred to as the pre-image, as well as the object after translation is referred to as the image.For the given question,
The graph of the parent function is f(x) = x².
To from the vertex form of a function is g(x) = (x-3)² +9, the process is-
First, shift three units to the left, such that g(x) becomes (x-3)².Now, shift the function 9 units up to form (x-3)² + 9.Thus, the vertex of the function is g(x) = (x-3)² +9 is formed by translation of g(x) is shifted 3 units left and 9 units up.
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help mee pleasee!!
thank you <3
Answers
A linear equation that models the price-sales relationship for this toy is y = -500x + 5000
In this question, we need to find a linear equation that models the price-sales relationship for this toy.
We have been given that the line passes through (6, 2000) and (8, 1000)
Using the formula for the two-point form of equation of line,
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y - 2000)/(1000 - 2000) = (x - 6)/(8 - 6)
(y - 2000)/(-1000) = (x - 6)/2
2(y - 2000) = -1000(x - 6)
y - 2000 = -500(x - 6)
y = -500x + 3000 + 2000
y = -500x + 5000
Therefore, a linear equation that models the price-sales relationship for this toy is y = -500x + 5000
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help meeee pleasee!!!
thank youu
Answers
Answer:
(-7, 3)
Step-by-step explanation:
Since the endpoints of the interval are not included, use parentheses.
Owen is deciding between two parking garages. Garage A charges an initial fee of $10 to park plus $1.50 per hour. Garage B charges an initial fee of $4 to park plus $3 per hour. Let A represent the amount Garage A would charge if Owen parks for tt hours, and let BB represent the amount Garage B would charge if Owen parks for tt hours. Graph each function and determine the number of hours parked, t that would make the cost of each garage the same. I NEED THIS ON A GRAPH
Answers
Answer:
At 4 hours both options will be $16.00
Step-by-step explanation:
Use the graph to fill in the blank with the correct number.
f(0) =
6
5
4
3
2
1
-5-4-3-2-1
-1
-2-
23
-3-
-4
-5
1
2345
Numerical Answers Expected!
Answer for Blank 1:
Answers
Answer:
3029
Step-by-step explanation:
