What subset A of R would you use to make f: A R defined by f(x)3 -7 a well-defined function? 2. Which of these data support a well-defined function from (1, 2, 3, 4) to (1, 2,3, 4)? Ex plain 1 2 3 f(r) 3 4 2 1 2 3 4 1 2 3 3 4 3. Determine whether these are well-defined functions. Explain. (a) f:R R, where f (a) (b) g: (5.00) → R, where gla:) (c) h:R R, where h(x)r +42
Answers
For part (a), f: R \ {0} → R is a well-defined function. For part (b), g: R \ {5} → R is a well-defined function. For part (c), h: [42, ∞) → R is a well-defined function.
How we find well defined function?For part (a), the function f(a) = 1/a is not defined at a = 0, so to make it well-defined, we choose the subset A of R to be R \ {0}.
For part (b), the function g(a) = 1/(a - 5) is not defined at a = 5, so to make it well-defined, we choose the subset A of R to be R \ {5}.
For part (c), the function h(x) = √(x - 42) is not defined for x < 42, so to make it well-defined, we choose the subset A of R to be [42, ∞).
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Related Questions
what are the zeros of f(x)=(x-1)(x+6)
Answers
Answer:
x = - 6, x = 1
Step-by-step explanation:
To find the zeros, let f(x) = 0, that is
(x - 1)(x + 6) = 0
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 1 = 0 ⇒ x = 1
L 7.8.2 Test (CST): Area, Surface Area, and Volume Question 24 of 30 Find the area of the sector of the circle below. The radius of the circle is 6 cm. Use 3.14 for at 90" O A. 18.84 cm2 O B. 4.71 cm2 O C. 28.26 cm2 O D. 6.22 cm
Answers
Answer:
28.26 cm^2
Step-by-step explanation:
Mathematically, we have the area of a sector as;
theta/360 * pi * r^2
theta is the angle subtended at the center of the circle by the sector which is 90 degrees
r is the radius of the circle given as 6 cm
Substituting these values;
90/360 * 3.14 * 6^2 = 28.26 cm^2
If f(x) = 3x + 2, what is f(5)?
Answers
Answer:
f(5) = 17
Step-by-step explanation:
plug in 5 in the x so 3(5)+2 =17
Answer:
17
Step-by-step explanation:
3(5) + 2 = 17
15 + 2 = 17
Please help me with this question
Answers
Answer:
P = (2, 3)
Step-by-step explanation:
P is a local minimum, so can be found from the upper zero of the derivative.
y' = 0 = 3x^2 -8x +4
0 = (3x -2)(x -2)
x = 2/3, x = 2
So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:
y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3
The coordinates of P are (2, 3).
__
A graphing calculator confirms this result.
Un article voit son prix augmenter successivement de 10%, de 6 %, puis de 8 %.
Puis en période de solde, son prix baisse de 16 %.
Quel est son taux d'évolution global ?
À quel pourcentage cela correspond-il? (On donnera deux décimales de précision pour le pourcentage.)
Answers
(1 + t1) x (1 + t2) x ... x (1 + tn) - 1
Dans cette formule, t1, t2, ..., tn sont les différents taux d'augmentation et/ou de baisse de prix en pourcentage. Par exemple, si un article augmente de 10 %, t1 sera égal à 0,1. Si ensuite le prix de l'article augmente de 6 %, t2 sera égal à 0,06.
Pour pouvoir calculer l'évolution de prix de l'article en question, il faudrait connaître les valeurs exactes des différents taux d'augmentation et/ou de baisse de prix. Sans ces informations, il est impossible de calculer l'évolution de prix de l'article
10.25 divided by 0.5
Answers
Answer:
the answer is 20.5 i hope this helps you
Step-by-step explanation:
Answer:
20.5
Step-by-step explanation:
divide 10.25÷0.5=20.5
what information can you gather from the standard deviation, particularly as it pertains to the percentage of normal distribution?
Answers
The standard deviation of a data set provides information about the spread or dispersion of the data around the mean.
It helps to determine the percentage of normal distribution in the data. If the standard deviation is small, it indicates that the data is tightly clustered around the mean and a high percentage of the data falls within a few standard deviations of the mean. On the other hand, if the standard deviation is large, it suggests that the data is more spread out and a smaller percentage of the data falls within a few standard deviations of the mean.
In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. So, the standard deviation provides insight into the proportion of data points that are close to the mean, and therefore, the shape of the distribution.
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now suppose that the machine already has gone 15 full days without a breakdown since the last repair was completed. how does the expected number of full days here- after that the machine will remain operational before the next breakdown compare with the corresponding result from part (b) when the repair had just been completed? explain
Answers
The expected number of full days hereafter that the machine will remain operational before the next breakdown is still 10 days
We calculated that the expected number of full days until the next breakdown was 10 days. Now, suppose that the machine has already gone 15 full days without a breakdown since the last repair was completed. This means that the machine has already exceeded the expected number of full days until the next breakdown.
However, the fact that the machine has already gone 15 full days without a breakdown does not change the underlying probability distribution of the time until the next breakdown. The distribution is still exponential with a mean of 10 days. Therefore, even though the machine has already exceeded the expected number of full days until the next breakdown, the expected number of full days hereafter that the machine will remain operational before the next breakdown is still the same as before: 10 days.
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erica has a number cube,labeled 1 through 6 . she will roll the cube 300 times .how many times should erica expect the cube to land on the number less then 5
Answers
Erica can expect to roll a number less than 5 approximately 150 times in 300 rolls of the die.
The probability of rolling a number less than 5 on a single roll of a standard six-sided die is 3/6 = 1/2, since there are three numbers (1, 2, and 3) that are less than 5 out of a total of six possible outcomes.
To find the expected number of times that Erica should roll a number less than 5 in 300 rolls of the die, we can use the formula: Expected number of successes = Probability of success × Number of trials
In this case, the probability of success is 1/2 and the number of trials is 300, so: Expected number of rolls less than 5 = (1/2) × 300 = 150
Therefore, Erica can expect to roll a number less than 5 approximately 150 times in 300 rolls of the die.
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Describe the transformation from the absolute value parent function
Answers
The function f(x) = |x| is an absolute value function and there is a vertical stretch.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Translation, rotation, reflection, and dilation are the four primary categories of transformation.
Given:
As, given from the graph
If we perform transformations on the parent function f (x) = |x|.
The function f(x) = |x| is an absolute value function.
The highest or lowest point on the graph of an absolute value function is called the vertex.
An absolute value graph has one axis of symmetry that passes through the vertex.
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K
BD bisects ZABC. Solve for x and find mZABC.
m/ABD = (6x), m/DBC = (2x+12)°
X=
m/ABC=
Answers
bisects x = -12AB / (2AB - 6BD)
m∠ABC = 6x
= 6 × (-12AB / (2AB - 6BD))
To solve for x and find the measure of angle ABC (m∠ABC), we will apply the angle bisector theorem and use the given information.
According to the angle bisector theorem, the ratio of the lengths of the segments created by an angle bisector is equal to the ratio of the measures of the angles formed by the bisector.
Let's set up the equation using the given information:
m∠ABD = 6x (angle ABD)
m∠DBC = 2x + 12 (angle DBC)
Using the angle bisector theorem, we have:
AB/BD = m∠ABD/m∠DBC
Since BD bisects ∠ABC, we can substitute the given measures into the equation:
AB/BD = (6x) / (2x + 12)
To solve for x, we can cross-multiply:
AB × (2x + 12) = BD × (6x)
Expanding both sides of the equation:
2ABx + 12AB = 6BDx
Rearranging the equation:
(2AB - 6BD)x = -12AB
Now we can isolate x:
x = -12AB / (2AB - 6BD)
The measure of angle ABC (m∠ABC), we substitute the value of x back into the expression:
Simplifying this expression further would require additional information about the lengths of AB and BD.
Without this information, we cannot find the exact value of m∠ABC.
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PLS HELP MEEE what is equation y??
Answers
Which value of x makes the equation 0.1x - 2.5 = 1.0 true
A 10
B 15
C 20
D 35
Answers
Answer:
D 35
Step-by-step explanation:
When figuring this out you can just plug in your answers if you want to take it the easier way by just putting in the 35 in places of x and multiplying 0.1 times 35 gets you 3.5 so 3.5 minus 2.5 is 1
Answer:
xDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD.........................................................D :D
Why does a method to swap two array elements work correctly when a method to swap two integer values does not?
Answers
A method to swap two array elements works correctly because it is designed to swap the entire elements at two different indexes in an array.
The method receives two integer values representing the indexes of the elements to be swapped and then proceeds to swap the elements themselves.
On the other hand, a method to swap two integer values does not work correctly because integers are passed by value, which means that the method receives a copy of the integer values rather than the original values themselves. Thus, the method only swaps the copies and not the original values, and as a result, the original values remain unchanged.
To overcome this issue, one can use a workaround such as passing the integer values as references instead of values. This way, the method receives a reference to the original value, and any changes made to the reference will affect the original value as well. However, this approach can be more complex and less efficient than simply swapping array elements.
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1. Five times x increased by three times y is ___________.
Answers
Hello!
Five times x increased by three times y is 5x + 3y
Find the L.CM of 36,60,126
Answers
Answer:
1260
hope this helps
have a good day :)
Step-by-step explanation:
Step-by-step explanation:
2 x 2 x 3 x 3 x 5 x 13
= 2340
................
A 64-ounce container of juice costs $5.76. What is the cost per ounce?
Answers
The cost per ounce of the juice is $0.0.9 using unitary method.
What is unitary method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unitary method, in its most basic form, is used to calculate the value of a single unit from a specified multiple. The unitary technique can be used to complete it. Additionally, after determining the value of a single unit, we can increase that value by the number of units needed to determine the value of the additional units. What is division?One of the four fundamental arithmetic processes, or how numbers are combined to create new numbers, is division. The other processes are addition, subtraction, and multiplication. The reverse of multiplying is division.
In this question,
64-ounce container of juice costs $5.76. I
ounce of juice costs = 5.76/64= $0.09
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5m – 8 = 3m + 8 for m
Answers
Answer:
m=8
Step-by-step explanation:
Suppose you are given the function f(x) = 7x and asked for f(-6). This is the same as asking for the value of the function at x = ?
Answers
Answer:
the correct answer is -6
Using the distributive property and combining like terms simplify the expression.
-5(1+2k)+5(x+5k)
Answers
Answer:
-5+35k+5x
Step-by-step explanation:
Plsss help I have a couple min left plssss
Answers
Answer:
here is the answer
Step-by-step explanation:
the first one the slope is 2
the second one the slope is -3
the slope is always the one with the x and the second one without the x is the y axis
determine if the collection is not well defined and therefore is not a set. the collection of current nfl players
Answers
The collection of current NFL players is well defined and is a set
Step-by-step explanation:
For a collection to be termed as a set, it is necessary that it has distinct objects that are defined.
For example, a set of first 10 natural numbers is
A= [1,2,3,4,5,6,7,8,9,10]
It is well defined and therefore called as set which has first 10 natural numbers as its elements.
Same is the case with the collection of current NFL players.
The collection contains defined number of players. Therefore, this collection is called a set.
The members of the collection or team will be known as the elements of the set.
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Write the relation as a set of ordered pairs. A relation. An arrow goes from 1 to negative 1, from 2 to 0, from 3 to 1. a. ordered pairs: {(–1, 1), (2, 0), (3, 1)} b. ordered pairs: {(–1, 1), (0, 2), (1, 3)} c. ordered pairs: {(1, –1), (0, 2), (1, 3)} d. ordered pairs: {(1, –1), (2, 0), (3, 1)} Please select the best answer from the choices provided A B C D
Answers
The following ordered pair is given as {(1, -1), (2,0), (3,1)} for the given data of movement of arrow.
What is a set ?A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.
An ordered pair consists of two items. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.
An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it might be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.
The following ordered pair is given as {(1, -1), (2,0), (3,1)} for the given data of movement of arrow.
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Answer:
D
Step-by-step explanation:
How do i solve this paper?
I feel like my answers are gone and i need help.
Answers
Answer:
you have it correct sir
Step-by-step explanation:
35/20+3/20=35/20+3/20=
Answers
35/20 + 3/20 = 35/20 + 3/20 = 19/10
Answer:
a
Step-by-step explanation:
a
Find the y-intercept of the line
Answers
Answer:
7
Step-by-step explanation:
the y-intercept is found when x=0
May currently has a balance of $1,817.43 on her credit card. if she must make a minimum monthly payment of 3.44% of her total balance, what is her minimum payment, to the nearest cent? a. $5.21 b. $62.52 c. $40.84 d. $51.49 please select the best answer from the choices provided a b c d
Answers
She makes a minimum monthly payment of 62.52 dollars. Then the correct option is B.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
May currently has a balance of $1,817.43 on her credit card.
If she must make a minimum monthly payment of 3.44% of her total balance.
Then the minimum payment will be given as
Minimum payment = 0.0344 × 1817.43
Minimum payment = 62.519 ≅ 62.52
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Points A, B, C, and D are collinear and positioned in that order. Solve for x then find the length of: AB, BC, and CD, if AB=x+5, BC=2x+10, CD=4x, and AD=78
Answers
Step-by-step explanation:
we can solve this by Adding all points so you said that all are collinear points which means all points are in one line so this is solved as
= X+5+2X+10+4X=78
=7X+15=78. ....collecting like terms
=7x=78-15
=7x=63. divide both sides with 7
=x=9
So now All sides are solved
●AB=x+5
AB=9+5=14
●BC=2X+10=2(9)+10
BC=28
●CD=4X
CD=4(9)
CD=36
so AB+BC+CD=AD
14+28+36=78
True!!
Thanks in Advance
Nahom Wondale
Is(1, 9)a solution to the inequality y ≤ 6x + 2?
Answers
Answer:
nope
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
It wouldn't be 1,9 it would 1,8 instead also if need help with those an app called desmos helps a lot
On this week's homework assignments, Lydia had scores of 85, 78, 92, 98, and 85. Which measure of central tendency would give Lydia the highest score so she could show her teacher that she really understood her assignments?
mean
median
mode
Answers
Answer:
median
Step-by-step explanation:
median is the number appearing at the centre or middle after the given numbers.mean is average. mode is the number that appears more times than the others. hope it helps
Answer:
MEDIAN!!! Is the answer
Step-by-step explanation:
Hope it helps ya! :D