Which of the following best describes the graph shown below?
A. This is not the graph of a function.
B. This is the graph of a one-to-one function.
C. This is the graph of a function, but it is not one-to-one.
D. This is the graph of a linear function.
Answers
Answer: the answer is C
Step-by-step explanation:
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We are asked to describe the graph shown in the attached picture.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Please see below! ^^
Is the graph a function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the Vertical Line Test (Draw a vertical line through the graph; if the line touches the graph once (only once), then the graph is a function.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the Vertical line test. The line touches the graph more than once.
[tex]\underline{\rule{50}{1}}[/tex]
Since the line touches the graph only once, this graph is a function, and Option A. is not right; we can cross it out.
One down, three to go! ^^
Is the graph a one-to-one function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the horizontal line test; it touches the graph only once.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the test; the line touches the graph
[tex]\underline{\rule{50}{1}}[/tex]
Since a horizontal line touches the graph more than once, this function is not one-to-one.
Option B. isn't right either.
Two down, two to go! ^^
However, look what Option C. is. The graph we're given is indeed a function, and it's not one-to-one.
So I choose Option C.
Let's ensure our answer is correct by checking the last option:
Is the graph a linear function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ Its graph is a straight line.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ Its graph isn't a straight line.
[tex]\underline{\rule{50}{1}}[/tex]
As we can see, the given graph is not a staight line; thus, Option D. is also wrong.
Thus, Option C. is the correct answer.
Hope it helps you out! :)
Ask in comments if any queries arise.
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Related Questions
pls help me name and classify the following?!
Answers
Answer:
1.Right AngleAn angle whose measure is equal to 90° is called a right angle.
2.Acute AngleAn angle whose measure is more than 0° but less than 90° is called an acute angle. Angles having magnitudes 30°, 40°, 60° are all acute angles.
3.Obtuse AngleAn angle more than 90 degrees and less than 180 degrees, is called an obtuse angle.
Find the percent of the number. 30% of 90 is =
Answers
Answer:
27
Step-by-step explanation:
30% of 90 is 27
30/100 = ?/90
by cross multiplying, we can see that 30 times 90 is equal to 2700.
2700/100 = 27
? = 27
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A random sample of 81 items is taken,producing a sample of 47.the population standard deviation is 5.89.construct a 90% confidence interval to estimate the populations mean.
Answers
The confidence interval (CI) is a range of values that, with a particular level of confidence, is likely to include a population value. The confidence interval for the given sample is 48.07656, 45.9234.
What is a confidence interval?The confidence interval (CI) is a range of values that, with a particular level of confidence, is likely to include a population value. The percentage is used to represent the location of a population mean between an upper and lower interval.
Given the random sample is 81, while the sample means is 47, the standard deviation is 5.89. Therefore, the confidence interval for 90% of the population mean is,
[tex]CI = \bar{x} \pm z \dfrac{s}{\sqrt{n}}\\\\CI = 47 \pm 1.645 \dfrac{5.89}{\sqrt{81}}\\\\CI= 47 \pm 1.07656\\\\CI = 48.07656, 45.9234[/tex]
Hence, the confidence interval for the given sample is 48.07656, 45.9234.
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PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST
Answers
Answer:
A = 16803.2 in^2
Step-by-step explanation:
The area of a regular polygon is [tex]A=\frac{1}{2}(a)\cdot{P}[/tex], where a is apothem and P is the perimeter.
Given side length s = 59 in, and the knowledge that this is an octagon (8 sides): P = 8s.
Substitute the value of s into the equation: [tex]P=8(59)=472[/tex]Now substitute all known values into the area formula: [tex]A=\frac{1}{2}(71.2)\cdot{472}[/tex]
Simplify: [tex]A=16803.2[/tex]what are the exact values for x and y
Answers
Answer:
see the attachment photo!
The height in feet is modelled by the function below, where the t is in
seconds after the object hit into the air. Appromixmately which time does the object reach the lowest height?
f(t) = -21² +22t + 6
A. 7 seconds
B. 5 seconds
C. 8 seconds
D. 11 seconds
Answers
The object reaches the lowest height at 5 seconds
How to determine the time?The function is given as:
f(t) = -2t² +22t + 6
Differentiate the function
f'(t) = -4t +22
Set to 0
-4t +22 = 0
Subtract 22 from both sides
-4t = -22
Divide both sides by -4
t = 5.5
Remove decimal points
t = 5
Hence, the object reaches the lowest height at 5 seconds
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hi can someone help I’m doing ixl AND I DONT UNDERSTAND ILL GIVE BRAINLIESST please explain
Answers
Answer:
5:9
Step-by-step explanation:
the circumference is d*pi
so you must find the diameter of both circles
31/pi = 9.86760647
which is about 10
57/pi = 18.1436635
which is about 18
10:18 is your ratio
but you can simplify this down to
5:9
2+2/3x=3/7 rewrite without fractions, and answer without decimals, also does anyone know where I could throw this into for an immediate answer?
Answers
The answer for the given equation in decimal is -2.357.
What is equation?An equation is a mathematical expression in terms of one or more unknown variable.
Given the equation : 2 +2/3x =3/7
Simplify by Cross multiplication, we get
6 +2x = 9/7
Simplifying further and solving for x
2x = 9/7 -6
2x = -4.714
x = -2.357
Hence, the equation is solved and the value of x is -2.357.
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Solve the system by graphing.
y = x+2
2x-y=-1
Answers
Answer:
The intersection is at (1,3) and the answer is in the graph. (see image below)
Step-by-step explanation:
Vector w has its initial point at (2, 5) and its terminal point at (-4, -2). Write the vector in component form and find its magnitude.
Answers
Answer: -6, -7
Magnitude = 9.22
Step-by-step explanation:
Answer:
Step-by-step explanation:
Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work?
Answers
Answer:
20 x 9 = $180 just multiply hours worked times rate per hour
The weight of vegetables transported by a farmer to a nearby market increases by 15% every month.
The farmer transports 460 pounds of vegetables in April, 529 pounds of vegetables in May, 608.35 pounds of vegetables in June, and 699.60 pounds of vegetables in July.
Approximately how many pounds of vegetables will be transported to the market in August
Answers
Using proportions, it is found that 804.54 pounds of vegetables will be transported to the market in August.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the weight increases by 15% every month, the August amount will be the July's amount multiplied by 1.15, hence:
A = 1.15 x 699.60 pounds = 804.54 pounds.
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Consider the following histogram.
A histogram with 5 bars with intervals of equal width. The height of the first bar is 2. The height of the second bar is 5. The height of the third bar is 6. The height of the fourth bar is 5. The height of the fifth bar is 2.
© 2018 StrongMind. Created using GeoGebra.
Which answer correctly describes the shape of the data in the histogram?
left-skewed
right-skewed
symmetrical
uniform
Answers
Answer:
The shape of the data in the histogram is Symmetrical.
Step-by-step explanation:
This is because the distribution, or data set is the same to the left and right of the center point.
A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries 12 dollars, 12 dollars, 12 dollars, 12 dollars, Total 48 dollars.
Which of the following scenarios could be accurately modeled using this diagram?A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries 12 dollars, 12 dollars, 12 dollars, 12 dollars, Total 48 dollars.
Which of the following scenarios could be accurately modeled using this diagram?
Answers
The scenario that could be accurately modeled using this diagram is B. Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
How to depict the information?Here is the remainder of the question:
Which of the following scenarios could be accurately modeled using this diagram?
Juan Victor gave a gratuity of $25 on a bill that was $48.
Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
Juan Victor gave a gratuity of $12 on a bill that was $100.
Juan Victor gave a 12% gratuity on a bill that was $25.
A conceptual model is a representation of a system to help people understand a subject the model represents.
In this case, the scenario that could be accurately modeled using this diagram is that Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
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Ava scored 18 points in a basketball game. She scored seven points more than Claire. Let c
be the number of points scored by Claire. Set up an equation that lets you solve for the value
of c.
Answers
Answer:
11 points
Step-by-step explanation:
Claire had 11 points because 18-7=11
C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Ava scored 18 points in a basketball game.
Let Ave score be represented as A.
Ave scored seven points more than Claire.
Let C be the Claire score.
A=7+C
As given Ava scored 18 points in a basketball
so the value of A is 18
18=7+C
Now let us find the value of C
Subtract 7 from both sides
18-7 =C
11=C
Hence, C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.
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Hey there, been stuck on the math word problem, please help and give a good explanation :)
Answers
Answer:
13.4meters
Step-by-step explanation:
13.4×3×1.5 = 60.3
vol = L X W X H
60.3 = 3 X 1.5 X H
60.3 / 3 / 1.5 = H
A random number generator is used to create a list of 200 single-digit numbers. of those 200 numbers, 105 are even and ninety-five are odd. seven was generated fifteen times. what is the experimental probability of an odd number other than seven being generated? 40.0% 45.0% 47.5% 52.5%
Answers
Using it's concept, it is found that the probability of an odd number other than seven being generated is of 40.0%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these number of outcomes are taken from previous trials.
In this problem, 200 numbers have been generated, and 80 are odd numbers that are not seven, hence the probability is given by:
p = 80/200 = 0.4 = 40%.
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Answer:
40
Step-by-step explanation:
Im very stuck lol...
Answers
Answer:
Model the expression as 3 groups of x+2.
There are 3 x-tiles.
There are 6 +1 tiles.
The equivalent expression is 3x+6
Step-by-step explanation:
see image. This program is trying to help you learn algebra (here it looks like distributive property) by using a physical model. The bars are x's and the +1's are numbers. The little squares are 1 each (positive or negative, but you only need the positives for this question)
see image.
The lesson is:
3(x+2) = 3x + 6
There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble. What is the probability
of that child getting a green marble?
A 66
B
40
с .33
D .10
Answers
15 total marbles , 6 of them are green .
6/15=.40 or 40%
What is the quotient if -3/8 and -1/3
Answers
[tex]\left(- \dfrac 38 \right) \div \left(-\dfrac 13 \right)\\\\\\=-\dfrac 38 \times (-3)\\\\\\=\dfrac 98[/tex]
Liam has 4 ½ cups of sugar. He uses 2 ½ cups to bake bread, then borrows another 1 cup from his neighbor. He wants to bake cookies, which take 2 ½ cups of sugar. Does he have enough? How much will he have left over,or how much more does he need?
Answers
Answer:
1/2
Step-by-step explanation:
1. 4 1/2- 2 1/2= 2
2. 2+1=3
3. 3-2 1/2= 1/2
He has enough
A triangle has sides with lengths of 12 meters, 19 meters, and 20 meters. Is it a right triangle?
Answers
======================================================
Work Shown:
[tex]a = 12\\\\b = 19\\\\c = 20\\\\a^2+b^2 = 12^2+19^2 = 505\\\\c^2 = 20^2 = 400\\\\[/tex]
The values of [tex]a^2+b^2[/tex] and [tex]c^2[/tex] are not the same number
Therefore, there's no way that [tex]a^2+b^2 = c^2[/tex] is possible, which means we do not have a right triangle.
Put another way: since [tex]a^2+b^2 \ne c^2[/tex], this means we don't have a right triangle.
Refer to the converse of the pythagorean theorem for more information.
Side note: because of that same theorem, and because [tex]a^2+b^2 > c^2[/tex] is the case, this means we have an acute triangle based on what is shown below.
Seema is travelling to Australia. She travels a distance of 4,500 km by plane to Dubai and then another 11,700 km to Melbourne. Both planes fly at an average speed of 1,100 kmh-1.
What is her total flight time in hours and minutes, to the nearest minute?
Answers
Add the two trips together for total Km’s:
4500 + 11700 = 16,200 km.
divide total km by speed:
16,200 / 1,100 = 14.727272 hours
0.727272 x 60 minutes per hour = 43.636363 minutes, round up to 44 minutes
total time: 14 hours and 44 minutes
A) on monday, you have a single request: order a for 15,000 units. it must be fulfilled by a single factory. to which factory do you send the order? explain your decision. support your argument with numbers.
Answers
Based on the above, it can be inferred that the best option to produce the 15,000 units is the factory with the lowest cost per unit.
What is the cost per unit?Unit cost is a term to refer to the value per unit of a product that a factory charges to produce it.
In this case, the best alternative to produce 15,000 products is the factory with the lowest cost per unit, since this will reduce the cost of the order.
How to find the cost per unit?To find the cost per unit we divide the total cost of the order by the number of units. For example:
If the factory tells me that it charges me 10,000 to make 15,000 units, while another one charges me 8,000 to make 15,000 units. Which one has less value per unit?To know which one is more convenient, I must divide the total value by the number of units
10,000 ÷ 15,000 = 0.668,000 ÷ 15,000 = 0.53According to the above, the second option would be the cheaper.
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Answer:
.53 facory B
Step-by-step explanation:
10000/15000 =.66
8000
Its The Wolf
Its like part A and needs to be answer like that
Answers
The probability that the next elk that will be caught will be unmarked is 5400/ 5625, 0.96 and 96%
The probability that the next wolf that will be caught will be unmarked is 696 / 928, 0.75 and 75%.
What are the probabilities?Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the next elk that will be caught will be unmarked = number of unmarked elks / total number of elks
number of unmarked elks = 5625 - 225 = 5400
5400/ 5625 = 0.96 = 96%
The probability that the next wolf that will be caught will be unmarked = number of unmarked wolfs / total number of wolfs
number of unmarked wolfs = 928 - 232 = 696
696 / 928 = 0.75 = 75%.
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given that у=6 cm and θ=15 °, work out x rounded to 1 decimal place.
(the diagram is not drawn to scale.)
Answers
Using a trigonometric realtion, we can see that x = 23.18cm
How to find the value of x?Here we have a right triangle, we can see that y = 6cm, and the angle theta is 15°.
Notice that y is the opposite cathetus to the known angle, and we want to find the value of x, which is the hypotenuse.
Then we can use the trigonometric relation:
sin(a) = (opposite cathetus)/hypotenuse.
Reaplacing what we know, we will get:
sin(15°) = 6cm/x
Solving that for x:
x = 6cm/sin(15°9
x = 23.18cm
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A bottle contains 1 2/5 litres of orange squash. To make one drink, 1/200 of a litre of squah is needed. How many drinks can be made from the bottle of squash?
Answers
Answer:
280 drinks
Step-by-step explanation:
Capacity of bottle [tex]=1\frac{2}{5}=\frac{7}{5}\: l[/tex]Squash needed to make one drink [tex]=\frac{1}{200}\:l[/tex]Total number of drinks [tex]=\frac{7}{5}\div\frac{1}{200}[/tex][tex]=\frac{7}{5}*200[/tex][tex]=7*40[/tex][tex]=280[/tex]Answer:
280 drinks. We need to divide 1 2/5 by 1/200 in order to get this answer.
Which of the following choices is the value of cscθ given that cosθ= √2/2?
Answers
For the cosecant we will get:
[tex]csc(\pm \frac{pi}{4}) = \frac{1}{sin(\pm \frac{pi}{4})} = \pm \frac{2}{\sqrt{2} } = \pm \sqrt{2}[/tex]
So the correct option is the third one.
Which of the following choices is the value of cscθ given that cosθ= √2/2?First, we can write:
[tex]csc(x) = \frac{1}{sin(x)}[/tex]
Now, remember that:
[tex]cos(x) = \frac{\sqrt{2} }{2} \\\\for\ x = \pm \frac{pi}{4}[/tex]
And for the sine we have:
[tex]sin(pi/4) = \frac{\sqrt{2} }{2} \\\\sin(-pi/4) = -\frac{\sqrt{2} }{2} \\[/tex]
Then the cosecant for these possible values of x gives:
[tex]csc(\pm \frac{pi}{4}) = \frac{1}{sin(\pm \frac{pi}{4})} = \pm \frac{2}{\sqrt{2} } = \pm \sqrt{2}[/tex]
So the correct option is the third one.
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40 PTS + BRAINLY
The given Stem-and-Leaf Plot displays the number of people who attended the nine-day carnival. What is the mode of the given data set?
STEM | LEAF
5 | 4
6 | 0
7 | 00589
8 | 16
9 | ____
A. 91 B.86 C. 60 D.70
Answers
The mode of a given data set is the number that is repeated most often in a given data set. The mode of the given stem-and-leaf plot is 70.
What is the mode of a data set?The mode of a given data set is the number that is repeated most often in a given data set. It can also be described as the number that has the highest frequency of repetition.
As per the given Stem and leaf plot, the number of people who attended the carnival on different days is 54 60 70 70 75 78 79 81 86, since the mode is the number that is repeated very frequently, therefore, the mode of the given data is 70.
Hence, the mode of the given stem-and-leaf plot is 70.
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Choose the best definition for the following phrase: like terms (1 point)
Group of answer choices
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
Answers
The best definition of the phrase "like terms" is as follows: terms that have identical variable parts.
What are like terms in algebra?Like terms is used to describe terms that contain the same variable which is raised to the same power.
Algebra is an aspect of mathematics that involves the system of computation using letters or other symbols to represent numbers.
For example; in the algebraic expression: x² + 3 - 2x², x² and 2x² are like terms because they are terms that have identical variable parts.
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