tell whether each graph is a function and justify your answer. Which graph is not a good representation of real- world situation ? explain
Answers
Graph B is a function because each value of x corresponds to exactly one y-value.
What is the graph of a function?
The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function is a special case of the graph of an equation.
Using the function concept, it is found that:
Graph B is a function because each value of x corresponds to exactly one y-value.
In a function, one value of the input can be related to only one value of the output.
In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).
In this problem, at Graph A, when x = 5, for example, a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.
In Graph B, for each value of x, there is only one value of y, hence it is a function.
Hence, Graph B is a function because each value of x corresponds to exactly one y-value.
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Note: The complete question is in the attached image.
Related Questions
We are given a Student's t distribution with d.f. = 11 and t = 1.910. We wish to find an interval containing the corresponding P-value for a two-tailed test. To do this, we will use the Critical values for Student's t Distribution. Below is an excerpt from this table.
one-tail area 0.250 0.125 0.100 0.075 0.050 0.025 0.010 0.005 0.0005
two-tail area 0.500 0.250 0.200 0.150 0.100 0.050 0.020 0.010 0.0010
d.f. \ c 0.500 0.750 0.800 0.850 0.900 0.950 0.980 0.990 0.999
⋮
9 0.703 1.230 1.383 1.574 1.833 2.262 2.821 3.250 4.781
10 0.700 1.221 1.372 1.559 1.812 2.228 2.764 3.169 4.587
11 0.697 1.214 1.363 1.548 1.796 2.201 2.718 3.106 4.437
To determine where the given t-value would fall, we look for the row with heading d.f. =
. In this row, the sample statistic t = 1.910 falls between t = 1.796 and t =
Answers
To determine where the given t-value would fall, we look for the row with heading d.f. =11. In this row, the sample statistic t = 1.910 falls between t = 1.796 and t = 2.201
How to determine the t values?The given parameters are:
Degree of freedom, df = 11Sample statistic, t = 1.910This means that
df = 11 and t = 1.910
To calculate the t value,
We check the row where the heading of the degree of freedom is 11
i.e. df = 11
On this row, the t value 1.910 would be between 1.796 and 2.201
This is because 1.910 is greater than 1.796 and it is less than 2.201
Hence, the complete statement is
To determine where the given t-value would fall, we look for the row with heading d.f. =11. In this row, the sample statistic t = 1.910 falls between t = 1.796 and t = 2.201
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The graph of y=x4 - 2x² + 1 is shown.
Which point is a relative maximum?
Answers
Answer: Point B
Reason:
This point is the highest point in the neighborhood or interval. Yes point D is higher up, but points immediately adjacent to point D are higher. This means D is not a relative max. We need a hill shape like where B is located. In contrast, point C is a relative minimum since it is at the bottom of the valley.
help im low on my grade and it would help me alot
Answers
Answer:
3.5
Step-by-step explanation:
1 - (-2.5) = 1 + 2.5 = 3.5
he parallelogram on the left was dilated by a scale factor of 2 about point P . It was then transformed in another way to produce the parallelogram on the right. On a coordinate plane, parallelogram P has points (negative 4, 0), (negative 2, 0), (negative 3, negative 3), (negative 5, negative 3). Parallelogram P prime has points (3, 0), (7, 0), (5, negative 6), (1, negative 6). Which identifies the transformation that occurred after the dilation?
Answers
The transformation that occurred after the dilation of the parallelogram is a translation of 9 units to the right.
What is a parallelogram?A unique variety of quadrilateral made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but it must have opposite sides that are parallel for it to be a parallelogram. If the opposite sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both pairs of opposite sides are parallel and equal is referred to as a parallelogram.
The initial parallelogram was dilated by a scale factor of 2 about point P.
The points of the initial parallelogram are: (-4, 0), (-2, 0), (-3, -3), (-5, -3).
The parallelogram obtained on dilation will have the points: (-6, 0), (-2, 0), (-4, -6), (-8, -6).
The points of the final parallelogram are: (3, 0), (7, 0), (5, -6), (1, -6).
(-6,0) →(3,0) ⇒ (x,y)→(x+h , y+k)
x = -6 , x+h = 3 ⇒ h=3-x = 3-(-6) = 9
y = 0 , y+k = 0 ⇒ k = 0
The transformation rule is (x,y)→( x+9 , y )
That is, a translation of 9 units to the right.
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Answer:
A. a translation of 9 units to the right
Step-by-step explanation:
Edge 2023
What is the equivalent expression of 3x^2-4x-3
Answers
Answer:
C. 3(x+1)(x-1)-4x
Step-by-step explanation:
3(x+1)(x-1)-4x
(x+1)(x-1)=x^2-1
3(x^2-1)-4x
3x^2-4x-3
Primer numbers list maths
Answers
Answer:
1 - 100 primes numbers
Step-by-step explanation:
2,3,5,7,11,13,17,19,23,29,31,37,41,47,57,59,61,67,71,79,83,8797
Henry wants to laminate the tabletop in his study room. The tabletop is the shape of an isosceles trapezoid shown here. If laminating costs $4 per square foot, what is the total cost to laminate the tabletop?
A trapezoid with a height of 3 feet and bases of 6 feet and 10 feet is shown.
Answers
The total cost to laminate the tabletop is $96.
What is the total cost to laminate the tabletop?The first step is to determine the area of the trapezoid.
Area of the trapezoid = 0.5 (sum of parallel sides) x height
0.5 x (6 + 10) x 3 = 24 feet²
The total cost of laminating = cost per square feet x area
$4 x 24 = $96
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the sum of two numbers is 48.
the second number is seven times the first number
Answers
Answer:
[tex]\huge\boxed{\sf x =6,\ y = 42}[/tex]
Step-by-step explanation:
Let the numbers be x and y
Given condition:x + y = 48 --------(1)
y = 7x -------------(2)
Put Eq. (2) in (1)
x + 7x = 48
8x = 48
Divide 8 to both sides
x = 48/8
x = 6Put x = 6 in Eq. (2)
y = 7 (6)
y = 42[tex]\rule[225]{225}{2}[/tex]
Assume a is the 1st number and b is the 2nd number, a + b = 48
b = 7a (the second number is seven times the first number)
a = a
So, equation: a + 7a = 48
a + 7a = 48
8a = 48
a = 6
To find b = 7 (6) = 42
Hope it helps!
27. Which is wrongly spelt? A. reliable B. sociable C. viable D. avialable
Answers
Answer:
D. Avialable
Step-by-step explanation:
the correct spelling is available :)
The answer is D.
The correct spelling of the word in the given option is : Available
Instead, here the places of a and i have been interchanged, causing it to be misspelt.
What value of “a” would make the equation have no solution?
4(5x+1) = -2(ax+4)
Answers
Answer: a = -10
Concept:
When an equation has no solution, in most cases, it means that the variables are being canceled out, and left with unequal constants.
For example:
2x + 3 = 2 +2x
The 2x can be canceled out on both sides, which left us with:
3 = 2
3 does not equal to 2, therefore, it has no solution
Solve:
Given equation
4 (5x + 1) = -2 (ax + 4)
Expand the parenthesis
4 (5x) + 4 (1) = -2 (ax) + (-2) (4)
20x + 4 = -2ax - 8
According to the concept, we need to make the variables equal to cancel them out and left with unequal constants
20x = -2ax
Divide x on both sides
20x / x = -2ax / x
20 = -2a
Divide -2 on both sides
20 / -2 = -2a / -2
[tex]\Large\boxed{a=-10}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Graph the parabola.
y=x^2
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex.
Then click on the graph-a-function
button.
Answers
Answer:
Vertex: (0,0)
Left 2 points: (-1,1) , (-2,4)
Right 2 points: (1,1) , (2,4)
Step-by-step explanation:
cual es el valor de 4+x=9
Answers
Answer:
x=5
Step-by-step explanation:
Resolvamos tu ecuación paso a paso.
4+x=9
Paso 1: simplifica ambos lados de la ecuación.
x+4=9
Paso 2: Resta 4 de ambos lados.
x+4−4=9−4
x=5
Answer:
4+x=9
or, x=9-4
or, x=5
the value of x is 5
Represent each expression as a power of a, a cannot be equal to 0
Answers
Answer:
a^-27
Step-by-step explanation:
(a^3)^-3)^3)
(a^-9)^3)
a^-27
When we represent the expression ((a³)⁻³)³ as a power of a, the result obtained is a⁻²⁷
How to represent the expression as a power of a?The following data were obtained from the question:
Expression: ((a³)⁻³)³Representation as power of a =?We can represent the expression ((a³)⁻³)³ as a power of a by using the power law of indices as illustrated below:
((a³)⁻³)³
Recall
(Bᵐ)ⁿ = Bᵐⁿ (i.e multiply the power)
Thus,
((a³)⁻³)³ = (a⁻⁹)³
= a⁻²⁷
Thus, we can conclude from the above calculation that the representation of the expression ((a³)⁻³)³ as a power of a is a⁻²⁷
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The marital status distribution of the U.S. male population, ages 15 and older, is as follows: 35.4% never married, 53.6% married, 2.7% widowed, and 8.3% divorced/separated. A random sample of 300 U.S. young adult males, 18 to 24 years old, found 141 never married, 132 married, 3 widowed, and 24 divorced/separated. Using α = 0.10, is this evidence that males in this age group follow a different distribution than all males in the U.S.? Write the hypotheses, calculate the expected counts, check the condition, calculate the test statistic, and use either the critical value approach or the p-value approach to make a conclusion about the question being asked.
Answers
The hypothesis illustrates that the males in the group don't follow a same distribution as all the males that are in the United States.
How to illustrate the information?Based on the information given, it should be noted that the degree of freedom given in this case will be:
= 4 - 1
= 3
By using the Excel function, the p-value is given as 0.0002. In this case, we've to reject the null hypothesis if the p value is less than 0.1.
Therefore, we will reject the null hypothesis in this case. In inferential statistics, the null hypothesis is that two possibilities are the same. It is observed difference is due to chance alone. Using statistical tests, it is possible to calculate the likelihood that the null hypothesis is true
Therefore, the hypothesis illustrates that the males in the group don't follow the same distribution as all the males that are in the United States.
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you can correct your mistake.
Oliver flipped a coin 10 times. The
outcomes are shown in the table below.
a) Work out the experimental probability of
the outcome being heads. Give your
answer as a decimal.
b) Using one of the options below, copy
and complete the sentence to explain how
Oliver could improve his experiment to get
a better estimate for the probability.
a)
Outcome Frequency
Heads
7
Tails
3
b) He could improve his experiment by
using a different coin
wearing a hat
flipping the coin outside
doing more coin flips
doing fewer coin flips
Answers
a) The probability of a head exists at 0.7.
b) He could improve his experiment by doing more coin flips.
What is probability?Probability signifies possibility. It exists a branch of mathematics that values the event of a random event. The value exists represented from zero to one.
Given: Coin flipped 10 times.
The Head comes T times and the tail comes 7 times.
To estimate the probability of head in the outcome.
The total number of outcomes is 10 and the head comes 7 times.
a) Probability(head) = 7/10 = 0.7
The probability of a head exists at 0.7.
b) He could improve his experiment by doing more coin flips
Therefore, the correct answer is option c) doing more coin flips.
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Find the value of t0 such that the following statement is true: P(-t0 ≤ t ≤ t0) = .95 where df = 15. Group of answer choices
Answers
The value of To from the t table will be 2.131
How to get the value?The following can be deduced from the information:
P(-t0 < t < t0) = 0.95
2*P(t < t0) - 1 = 0.95
P(t < t0) = 0.975
df = 15
From t-table (column 1-0.975 = 0.025) in the row 15. Therefore, t0 = 2.131.
In conclusion, the answer is 2.131.
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39 kg Rice of taken out of a bag of rice. If 8/22 of the rice is left in the beg then find the quantity of rice the bag contained in the beginning
Answers
Answer:
429/7 kg or 61 2/7 kg
Step-by-step explanation:
I'll answer according to how I understand this problem, but I'm not sure this is correct.
"39 kg of rice is taken out of bag of rice. If 8/22 of the rice is left, what was the original weight of the rice in the bag?"
8/22 is a strange number to work with because it could have been given as 4/11. This is another reason I'm not too sure about this problem.
8/22 = 4/11
If 4/11 is left, then since 11/11 - 4/11 = 7/11, 7/11 of the rice remains.
7/11 x = 39
x = 39 × 11/7
x = 429/7
x = 61 2/7
If the side length of of rectangle is 3x-3 and the top length is 6, how do I write a linear equation the represents the area and a linear equation that represents the perimeter, all measurements are in cm if that is useful.
Answers
Perimeter of the rectangle is: 6x + 6 cm
Area of the rectangle is: 18x - 18 cm²
What is the Area and Perimeter of a Rectangle?Area = (length)(width)
Perimeter = 2(length + width).
Given the following:
Length of rectangle = 3x - 3
Width = 6
Area = (3x - 3)(6)
Area = 18x - 18 cm²
Perimeter = 2(3x - 3 + 6) = 2(3x + 3)
Perimeter = 6x + 6 cm
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The accompanying table shows the number of bacteria present in a certain culture over a 6 hour period, where x is the time, in hours, and y is the number of bacteria. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 15 hours, to the nearest whole number.
Answers
The number of bacteria present after 15 hours is 18928
How to determine the exponential equation?An exponential equation is represented as;
y = ab^x
Where
a = y, when x = 0
From the table, we have:
y = 1796 when x = 0
So, we have:
y = 1796b^x
Also, we have the point (1, 2097)
This gives
2097 = 1796b^1
Divide by 1796
b = 1.17
Substitute b = 1.17 in y = 1796b^x
y = 1796(1.17)^x
This means that the exponential equation is y = 1796(1.17)^x
After 15 hours, we have:
y = 1796(1.17)^15
Evaluate
y = 18928
Hence, the number of bacteria present after 15 hours is 18928
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?? what’s these answers? part A,B and C
Answers
Answer:
you need to upload a pic so we can see what you're talking about
What is the equation of the directrix?
Answers
The equation of the directrix is y = -5
How to determine the directrix equation?The equation is given as:
(x -1)^2 = 12(y + 2)
Express 12 as a product of 4 and 3
(x -1)^2 = 4 * 3(y + 2)
The parabola is represented as:
(x -h)^2 = 4p(y - k)
Where the directrix is
y = k - p
By comparison, we have:
k = -2 and p = 3
So, we have:
y = -2 - 3
Evaluate
y = -5
Hence, the equation of the directrix is y = -5
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Find the missing coordinate.
x = cos t
y = sin t
(-1, [?])
Answers
Answer:
0
Step-by-step explanation:
sin²t + cos²t = 1, so since cos²t = 1, sin²t = 0, and thus sint = y = 0.
In general, in y=asjn[k(x-d)]+c the equation of the axis of the curve is determined by
the value of
a) d
b) k
c) c
d) a
Answers
The equation of the axis of the curve is determined by (c) c
How to determine the equation of the axis?The equation is given as:
y= a sin[k(x - d)] + c
In the above equation, the midline is
y = c
This represents the equation of the curve axis
Hence, the equation of the axis of the curve is determined by (c) c
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the equation of a line is 1.5x2 what are its slope a y intercept
Answers
Answer:
1.5 is the slope and 2 is the intercept
Step-by-step explanation:
I am assuming that the equation is y = 1.5x + 2.
Solve the inequality for x.
5x-39-3(6-4x)
Simplify your answer as much as possible.
Answers
Answer:
= 5x-39-18-12x
=5x-12x-39-18
=-7x-57
A sports center offers party packages. They advertise a flat rate of $325 for the first 10 guests. They charge $15 per person for each additional guest. A formula for the cost of the party is:
C = 325 + 15p
where p is the number of guests more than 10. (For example, if 12 people come to the party, p = 2.) Suppose you want to have a huge birthday celebration this year. However, you have budgeted $600 for your party. How many guests can you invite if you decide to have your party at this sports center?
Answers
Using the given linear equation, we conclude that you can invite a maximum number of 21 guests.
How many guests can you invite if you decide to have your party at this sports center?Here the function is:
C(p) = 325 + 15*p
Where p is the number of guests minus 10, now we know that your budget is $600, then the maximum value of guests allowed is such that:
C(p) = 600 = 325 + 15*p
Now we can solve this equation for p:
600 - 325 = 15*p
275 = 15*p
175/15 = p = 11.67
Then the maximum whole number that p can take is p = 11
This means that the maximum number of guest that you can have is:
Guests = 10 + p = 10 + 11 = 21.
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Which ordered pair below is a solution to the following system of equations? x + 2y = 7 2x − y = -1
Answers
Answer: (1,3)
Step-by-step explanation:
Let's solve this system of equations by elimination. We will multiply one or both equations such that when we combine the equations, one of the variables will completely cancel out.
Let's multiply the whole first equation by -2 to achieve this:
[tex]-2(x+2y=7)[/tex] now becomes [tex]-2x-4y=-14[/tex]
Now let's add both equations
[tex]-2x-4y=-14[/tex]
[tex]2x-y=-1[/tex]
[tex]-5y= -15[/tex]
Since we got y into a form we can solve it for, lets divide both sides by -5 to isolate it.
[tex]\frac{-5y}{-5} = \frac{-15}{-5}[/tex]
[tex]y=3[/tex]
Now that we have the value of y, we can substitute it into any equation to solve for x. Only if we have both x and y can we make an ordered pair. Let's use the second equation and substitute 3 for y.
[tex]2x-3=-1[/tex]
We can now solve for x.
[tex]2x=2[/tex] [Adding 3 to both sides]
[tex]x=1[/tex] [Dividing by 2 on both sides]
We now have both x and y, so we can put it in an ordered pair to answer the question.
[tex](1,3)[/tex]
simplify (4a) × (3b)
Answers
Answer:
Step-by-step explanation:
hello :
(4a) × (3b) =12ab
the function f(x)=-x^2-x+15 is shown on the graph. what are donain and range of the function? t
Answers
Answer:
Domain: All real numbersRange: [tex]y \leq 61/4[/tex]Step-by-step explanation:
The domain is the set of x values.
The range is the set of y values.
just need the answer for E!!!!
maths functions
Answers
Answer: [tex]g(x) \ge f(x)[/tex] for all x such that [tex]x\le-2[/tex] or [tex]x\ge0[/tex]
Step-by-step explanation:
This question is essentially asking at what x values would the graph of g(x) be greater than (higher than) or equal to f(x).
In the graph, we can see that g(x) is greater than (or higher than) f(x) at all x's before (to the left of) point E and after (to the right of) point A. An easy way to find the points E and A is by setting f(x) = g(x).
[tex]f(x)=g(x)\\1-x^2=2x+1\\1=x^2+2x+1\\0=x^2+2x\\0=x(x+2)\\x=0\hspace{0.1cm}or\hspace{0.1cm}x=-2[/tex]
Since any value with x=-2 is left of the y-axis, we know that point E would have its x-coordinate as -2. Similarly, any point on the y-axis would have x=0; therefore, we can tell that point A would have its x-coordinate at 0.
If we remember that g(x) is greater than f(x) to the left of E and to the right of A, we can say that
[tex]g(x) \ge f(x)[/tex] for all x such that [tex]x\le-2[/tex] or [tex]x\ge0[/tex]