give two examples of functions from z to z that are :
A. one-to-one but not onto.
B. onto but not one-to-one.
C. both onto and one-to-one (but not the identity function).
D. neither onto nor one-to-one.
Answers
A. An example of a function from Z to Z that is one-to-one but not onto is f(x) = 2x.
B. An example of a function from Z to Z that is onto but not one-to-one is g(x) = \(x^2\).
C. An example of a function from Z to Z that is both onto and one-to-one (but not the identity function) is h(x) = 2x + 1.
D. An example of a function from Z to Z that is neither onto nor one-to-one is k(x) = 0.
A. This function maps every integer x to an even number, so it is one-to-one since different integers are mapped to different even numbers. However, it is not onto because there are odd numbers in Z that are not in the range of f.
B. This function maps every integer x to its square, so it covers all the non-negative integers. It is onto because every non-negative integer can be achieved as a result of squaring some integer. However, it is not one-to-one because different integers can have the same square.
C. This function maps every integer x to an odd number, covering all the odd numbers in Z. It is both onto and one-to-one because different integers are mapped to different odd numbers, and every odd number can be achieved as a result of doubling an integer and adding 1.
D. This function maps every integer x to 0, so it is not onto because it covers only one element in the codomain. It is also not one-to-one because different integers are mapped to the same value, which is 0.
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Related Questions
I need help with this
Answers
The measures of dispersion mean , median , mode and range of the data are 3.79, 2, 2 and 9.75 respectively
The meanThe mean is the ratio of the sum of all the values and the number of values in the dataset .
The mean = (1 + 0.8 + 2 + 2.5 + 1.5 + 5 + 10 + 5.1 + 3 + 2.25 + 0.5 + 0.25 + 1.8 + 4.1 + 2 + 2 + 7) / 14 = 3.79
The medianThis is the middle value of the distribution after it has been rearranged in order of magnitude.
Rearranged data : 0.25, 0.5, 1, 1.5, 1.8, 2, 2, 2, 2.25, 3, 4.1, 5, 5.1, 7, 10
median = 2
The modeThis is the most frequently occurring value in the dataset . The modal value here is 2 with a frequency of 4
Mode = 2
The RangeThis is the difference between the maximum and minimum values
Range = 10 - 0.25 = 9.75
Therefore, the range of the data is 9.75
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if 9x divide to y7 what is the answer
Answers
The answer of the exponent division is determined as 3.
What is the value of the expression?The value of the expression is determined by simplifying the expression as follows;
The given expression is;
9ˣ ÷ y⁷
The given values of x and y are;
x = 4
y = 3
To simplify the expression we will apply the rules of exponent as follows;
9ˣ / y⁷ = 9⁴ / 3⁷
Simplify further as;
9⁴ / 3⁷ = (3²)⁴ / 3⁷
= 3⁸/3⁷
= 3⁸ ⁻ ⁷
= 3¹
= 3
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The complete question is below:
Given x = 4 and y = 3. if 9ˣ divided by y⁷. what is the answer
I do not know this answer
i need the u answer
Answers
Please help me with my last question!
Answers
Answer:
Step-by-step explanation:
(5,7) and (7,-3)
m=(-3-7)/(7-5) = -10/2 = -5
Equation of a line is
y-y1 =m(x-x1)
y-6 = -5(x-5)
y = -5x +25+6
y = -5x +31
in school curriculums, mathematical variables first appear in the seventh grade. why aren't they introduced in the fourth or fifth grade?
Answers
fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Use the equation machine to solve this equation. x =
Answers
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Given the equation:
2 = -(7/4) + (1/4)x
Add 7/4 to both sides of the equation:
2 + 7/4 = -(7/4) + (1/4)x + 7/4
(1/4)x = 15/4
Multiply both sides by 4:
x = 15
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
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In a box of crayons 2/5 the crayons are green and 1/6 of purple how much greater is the fraction of green crayons than that of purple A) 1/3 B)3/11 C)1/30 D)7/30
Answers
Answer: 7/30
Step-by-step explanation: 2/5-1/6= 7/30, if it helps pls mark me as brainliest
The width of the smaller rectangular fish tank is 7.35 inches. The width of a similar larger rectangular fish tank is 9.25 inches. Estimate the length of the larger rectangular fish tank.
A. about 20 in.
B. about 23 in.
C. about 24 in.
D. about 25 in.
Answers
Answer:
D
Step-by-step explanation:
\(\frac{7.35}{9.25}\) = \(\frac{20}{x}\) cross multiply and solve for x
7.5x = (20)(9.25)
7.35x = 185 divide both sides by 7.25
\(\frac{7.35x}{7.35}\) = \(\frac{185}{7.35}\)
x ≈ 25.1700680272
Rounded to the nearest whole number is 25.
Helping in the name of Jesus.
what sample size would be required to detect a true mean speed as low as 94 meters per second if you wanted the power of the test to be at least 0.85
Answers
To calculate the sample size required to detect a true mean speed of 94 meters per second with a power of at least 0.85, we need to know the significance level and the standard deviation of the population.
Assuming a 5% significance level (alpha = 0.05) and a standard deviation of 10 meters per second, we can use the following formula:
n = (Z_beta + Z_alpha/2)^2 * σ^2 / d^2
where:
Z_beta is the Z-score for the desired power (0.85) from the standard normal distribution, which is approximately 1.04.
Z_alpha/2 is the Z-score for the desired significance level (0.05/2 = 0.025) from the standard normal distribution, which is approximately 1.96.
σ is the standard deviation of the population, which is 10 meters per second.
d is the difference between the true mean speed and the hypothesized mean speed, which is 100 - 94 = 6 meters per second.
Substituting these values into the formula, we get:
n = (1.04 + 1.96)^2 * 10^2 / 6^2
≈ 49.56
Therefore, a sample size of at least 50 would be required to detect a true mean speed as low as 94 meters per second with a power of at least 0.85, assuming a 5% significance level and a standard deviation of 10 meters per second.
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Find the tangent of ZC. E 9 √66 HI D
Answers
Step-by-step explanation:
Tan = opposite / adjacent
use pythagorean theorem to find CD first.
A² = B² + C²
9² = (SqRt (66) )² + C²
81 - 66 = C²
C = SqRt (15)
now find tan
SqRt (66) / SqRt (15 = tan
tan = 2.0976
tan^¹(2.0976) = 64.51 degrees
how do I type the infinity sign? do not search it up.
Answers
Answer:
Hold the ALT key and type 236 on the number lock keypad.
Step-by-step explanation:
I know this because I look up random stuff because my teachers ask me to.
Why do we use p hat in statistics?
Answers
In statistics, p hat is used as an estimator of the population proportion (p) of a categorical variable. It is the sample proportion of the variable, which is calculated as the number of occurrences of a particular category in the sample divided by the total sample size.
The reason why p hat is used is that it provides an estimate of the unknown population proportion based on a representative sample. By using p hat, we can draw inferences about the population proportion with a certain level of confidence. This is important in hypothesis testing and confidence interval estimation, where we want to make statements about the population based on the information gathered from a sample.
Using p hat as an estimator of p is also beneficial because it has desirable statistical properties, such as being an unbiased estimator, having a sampling distribution that approaches normality, and having a known standard error.
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The function g(x) is a transformation of the cube root parent function,
Answers
Answer:
I believe that the answer is B as well
Step-by-step explanation:
This might be for Ap3x but not 100% sure
Evaluate the expression x2 + y2 if x = -3 and y= -2
Answers
Answer:
The answer is 13Step-by-step explanation:
x² + y²
x = - 3 , y = - 2
Substitute the values of x and y into the above expression and solve
That's
( - 3)² + (-2)²
= 9 + 4
We have the final answer as
13Hope this helps you
i need help guysss
schoology
Answers
Answer:
c = 71º
b = 71º
Step-by-step explanation:
First, we can solve for c using the fact that c and 109º are supplementary, meaning they add to 180º.
\(c + 109\textdegree = 180\textdegree\)
\(c = (180-109)\textdegree\)
\(c = 71\textdegree\)
Next, we can solve for b using the fact that opposite angles are congruent.
\(c \cong b\)
\(71\textdegree = b\)
a sports guard thickness of about mm is desirable for heavy contact sports in which injuries are more likely. group of answer choices 1 2 4 8
Answers
Answer:
What is the question?! I don't understand, sry?!
Step-by-step explanation:
HELPPP!!!!
What is one solution?
Eliminate any extraneous solutions.
Answers
Answer:
The correct answer is x= 4/5 because you cannot take the root of a negative number
Consider the following work breakdown structure: Duration Estimates (Days) Activity Precedes Optimistic Most Likely Pessimistic Start U,V - - - U W 35 50 65 V W,X 28 40 52 W Z 26 35 44 X Y 28 40 52 Y Z 26 29 38 Z End 36 60 84 What is the probability that the critical path for this project will be completed within 200 days
Answers
30 is the probability that the critical path for this project will be completed within 200 days.
EXPECTED TIME = (OPTIMISTIC TIME + (4 * MOST LIKELY TIME) + PESSIMISTIC TIME) / 6
Y = (26 + (4 * 29) + 38) / 6 = 30.
The probability of an event can be calculated by simply dividing the number of favorable outcomes by the total number of possible outcomes using the probability formula.
Probability = number of paths to success. A total number of possible outcomes. For example, the probability of flipping a coin and getting heads is ½. This is because there is one way to get heads and the total number of possible outcomes is 2 (heads or tails). We write P(heads) = ½.
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3х – 8y = 34
7х + 4у = -34
Solve by elimination
Y and x
Please show steps ):
Answers
Answer:
The answer would be (-2, -5)
Step-by-step explanation:
3x - 8y= 34
2(7x + 4y = -34)
3x - 8y=34
14x + 8y= -68
----------------------
17x= -34 divided by 17
x = -2
3(-2) -8y= 34
-6 -8y =34 add 6
-8y= 40 divide by -8
y = -5
if you want to check the answer replacing -2 for x and -5 for y
7(-2) + 4(-5)= -34
-14 + (-20) = -34
-34 = -34
I hope this help sorry I'm not good explaining
2 [2 (3 – 52) + 4] = 5 [2 (3 – 3x) + 2]
Algerbra 1, solve for x.
Answers
Answer:
×=-90
Step-by-step explanation:
Given:2×+4=3×-2
3 5
round off 4.675 to the nearest tenth
Answers
round off 4.675 to the nearest tenth
4.7hope it helps
peter drove 1.5 hours at an average speed of 40 mph. He then drove for another 40km.
5 miles=8 kilometers
how far did peter drive?
give your answer in miles
Answers
Answer:
john drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour.
Step-by-step explanation:
The length of a rectangle is 3 1/3 inches. The width is 1/5 of the length. Find the width
and the perimeter of the rectangle. Support your answer with a drawing.
Answers
Answer:
Question states;

.
w = 2/3in
.
Perimeter = 2*l + 2*w

.

P = 24/3in
P = 8in
Explain how recapturing a higher percent of marked alligators affects the estimated total population
Answers
Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.
What is Population?This is referred to as the total number of species or organisms in an area at a given period of time.
Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.
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Yellow Bird's flight path can be modeled by the quadratic equation y = -x2 +14x-24
Answers
Answer:
(x-4)(x-3)
Step-by-step explanation:
quadratic equation is always squared so I will squared it myself
150 miles on 4 gallons of gas. Rate and unit rate .
Answers
Answer:
37.5 miles per gallon.
Step-by-step explanation:
At the grocery store, Miranda weighs 2 pound of green beans for a recipe she wants to make. How many ounces of green beans did Miranda weigh?
Answers
Answer:
32
Step-by-step explanation:
Hope it helps!!
What is the length of line segment KJ?
O
2√3 units
O 3√2 units.
O 3√3 units
O 3√5 units
Answers
The measure of line segment KJ in triangle KMJ is 5√3.
What is the measure of segment KJ?In the diagram, triangle KMJ forms a right triangle.
Line segment KM = 6
Line segment MJ = 3
Hypotenuse KJ = ?
To solve for the line segment KJ, we use the pythagorean theorem.
It states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
Hence:
c² = a² + b²
( KJ )² = ( KM )² + ( MJ )²
Plug in the values
( KJ )² = 6² + 3²
( KJ )² = 36 + 9
( KJ )² = 45
KJ = √45
KJ = 5√3
Therefore, the length of KJ is 5√3 units.
Option D)5√3 units is the correct answer.
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a raised gardening bed contains 24 cubic feet of dirt. the bed is 6 feet wide and 8 feet long. how deep is the dirt in inches? don't forget to label your answer inches.
Answers
The depth of the dirt in the raised gardening bed is 6 inches.
The volume of the dirt is given as 24 cubic feet, and the dimensions of the bed are provided as 6 feet in width and 8 feet in length. To find the depth of the dirt in inches, we need to calculate the area of the bed first.
The area of the bed is calculated by multiplying its width and length:
Area = 6 feet * 8 feet = 48 square feet.
To find the depth of the dirt, we divide the volume of the dirt by the area of the bed:
Depth = Volume / Area = 24 cubic feet / 48 square feet.
To convert the result to inches, we need to multiply it by the conversion factor of 12 inches per foot:
Depth = (24 cubic feet / 48 square feet) 12 inches/foot.
Simplifying the expression, we have:
Depth = 6 inches.
Therefore, the depth of the dirt in the raised gardening bed is 6 inches.
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An ice machine makes 1 pounds of ice every hour. Which graph shows this
proportional relationship?
Pounds of Ice
s of Ice
6
54321
Total Ice Made
0 1 2 3 4 5 6
Number of Hours
6
Total Ice Made
Pounds of Ice
of Ice
65432
Total Ice Made
0 1 2 3 4 5 6
Number of Hours
65
Total Ice Made
Answers
The graph that represents the situation is required.
What is graph?
A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.
Here the X- axis denotes the number of hours and
Y- axis denotes the pounds of ice.
The given ordered pair is
\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)
At zero hours the ice produced will be zero so, the third and fourth options are incorrect.
The only graph where the line passes through (0.5,1.5).
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