Question 1 Give an explicit example of a function from Z to N that is: a) One-to-one but not onto. b) Onto but not One-to-one. c) One-to-one and onto. d) Neither One-to-one nor onto.
Answers
a) One-to-one but not onto: An example is f(x) = x + 1, where integers map to natural numbers. It's one-to-one, but not onto since there is no integer x for which f(x) = 1.
b) Onto but not one-to-one: An example is f(x) = |x|, mapping integers to natural numbers. It's onto as every natural number can be obtained, but not one-to-one since different integers with opposite signs map to the same natural number.
c) One-to-one and onto: An example is f(x) = 2|x| - 1, mapping integers to natural numbers. It's both one-to-one and onto as different integers always produce different natural numbers, and every natural number can be obtained.
d) Neither one-to-one nor onto: An example is f(x) = x^2, mapping integers to natural numbers. It's neither one-to-one nor onto because different integers can produce the same square value, and there are natural numbers that cannot be obtained as the square of any integer.
a) An example of a function from the set of integers (Z) to the set of natural numbers (N) that is one-to-one but not onto is f(x) = x + 1. This function takes an integer x and maps it to the natural number x + 1. It is one-to-one because different integers will always produce different natural numbers. However, it is not onto because there is no integer x for which f(x) = 1.
b) An example of a function from Z to N that is onto but not one-to-one is f(x) = |x|. This function takes an integer x and maps it to its absolute value. It is onto because for every natural number n, there exists an integer x (positive or negative) such that f(x) = n. However, it is not one-to-one because different integers with opposite signs will map to the same natural number.
c) An example of a function from Z to N that is both one-to-one and onto is f(x) = 2|x| - 1. This function takes an integer x, computes its absolute value, multiplies it by 2, and then subtracts 1. It is one-to-one because different integers will always produce different natural numbers. It is also onto because every natural number can be obtained by choosing an appropriate integer.
d) An example of a function from Z to N that is neither one-to-one nor onto is f(x) = x^2. This function takes an integer x and maps it to the square of x. It is not one-to-one because different integers can produce the same square value (e.g., f(-2) = f(2) = 4). It is not onto because there are natural numbers that cannot be obtained as the square of any integer (e.g., 3).
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Related Questions
Please help me on this I am confused find the value of x pls pls pls pls pls pls pls pls pls pls pls pls pls.
Answers
The value of x is given as follows:
x = 130º.
How to obtain the value of x?To obtain the value of x, we must consider the exterior angle theorem, which states that each interior angle is supplementary with it's interior angle, meaning that the sum of their measures is of 180º.
As the interior angle is of 50º, the measure of the exterior angle x is given as follows:
x = 180 - 50
x = 130º.
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R is the midpoint of HS, N is the midpoint of RS, and RN= 5 cm. What is the length of HS?
Answers
Answer:
20 cm
Step-by-step explanation:
If R is the midpoint of HS, and N is the midpoint of RS, then RN is 1/4 of HS. This means that RN 4 times is HS. so 5x4 20.
HELP ... answer correctly pls
Use the expression below to answer the question.
-3/4 x 2/5
Which situation can be modeled by the expression?
A. Zach owes 3/4 of the original price of his car. Each month he pays 2/5 of the original price. How many months will it take Zach to pay off his car?
B. Zach owes 3/4 of the original price of his car. Each month he pays 2/5 of how much he still owes on the car. What fraction of the original price does Zach owe after this month’s payment?
C. Abdi owes Kim 3/4 of a dollar. He needs to borrow more money from Kim. Abdi then borrows 2/5 of how much he owes. By what fraction of a dollar does the amount Abdi owes Kim change?
D. Abdi owes Kim 3/4 of a dollar. He pays her 2/5 of how much he owes. What fraction of a dollar does Kim receive from Abdi?
Answers
Answer:
D.
Step-by-step explanation:
The situation that can be modeled by the expression -3/4 x 2/5 is:
Abdi owes Kim 3/4 of a dollar. He pays her 2/5 of how much he owes.
The expression -3/4 x 2/5 gives us the fraction of a dollar that Kim receives from Abdi, which is -3/10 of a dollar.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The expression -3/4 x 2/5 means that we multiply -3/4 by 2/5.
Multiplying two fractions involves multiplying their numerators together and their denominators together. So,
-3/4 x 2/5 = (-3 x 2) / (4 x 5) = -6/20 = -3/10
Therefore,
The situation that can be modeled by the expression -3/4 x 2/5 is:
Abdi owes Kim 3/4 of a dollar. He pays her 2/5 of how much he owes.
The expression -3/4 x 2/5 gives us the fraction of a dollar that Kim receives from Abdi, which is -3/10 of a dollar.
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quad has coordinates a (0,0) u (0,5) a (6,5) and (6,0) quad is the image after a dilation with center (0,0) and scale factor 4 what are coordinates of point d
Answers
A (0,0)
B (0,5)
C (6,5)
D (6,0)
After a dilation with center (0,0) and scale factor 4, the coordinates become:
A' (0,0) (unchanged)
B' (0,20) (multiplied y-coordinate by 4)
C' (24,20) (multiplied x and y-coordinates by 4)
D' (24,0) (multiplied x-coordinate by 4)
Therefore, the coordinates of point D in the dilated quadrilateral are (24,0).
five cards are drawn from an ordinary deck of 52 playing cards. find the probability of getting 2 pairs
Answers
The probability of getting 2 pairs when drawing 5 cards from a deck of 52 playing cards is approximately 0.0475, or 4.75%.
To calculate the probability of getting 2 pairs when drawing 5 cards from a deck of 52 playing cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. To form 2 pairs, we need to select two ranks out of the thirteen available ranks and then choose two cards of each selected rank. The remaining card can be of any rank except the ranks already chosen for the pairs.
Let's calculate the probability step by step: Step 1: Select two ranks out of the thirteen available ranks for the pairs. Number of ways to select two ranks: C(13, 2) = 13! / (2! * (13 - 2)!) = 78. Step 2: Choose two cards of each selected rank. Number of ways to choose two cards of each rank: C(4, 2) * C(4, 2) = (4! / (2! * (4 - 2)!)) * (4! / (2! * (4 - 2)!)) = 36. Step 3: Choose the remaining card from the remaining ranks.
Number of ways to choose one card: C(52 - 8, 1) = 44. Step 4: Calculate the total number of possible outcomes. Number of ways to draw 5 cards from a deck of 52: C(52, 5) = 52! / (5! * (52 - 5)!) = 2,598,960. Step 5: Calculate the probability. Probability = (Number of favorable outcomes) / (Total number of possible outcomes), Probability = (78 * 36 * 44) / 2,598,960 ≈ 0.0475. Therefore, the probability of getting 2 pairs when drawing 5 cards from a deck of 52 playing cards is approximately 0.0475, or 4.75%.
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the following histogram represents the distribution of scores on a ten point quiz. step 1 of 3 : which score has the highest frequency?
Answers
The highest frequency of any score in the histogram would be 5/20 = 0.25.
The score that has the highest frequency is 8. This is determined by counting the number of bars corresponding to each score. In this histogram, there are 5 bars corresponding to the score 8, which is the highest number compared to any other score.
Formulaically, we can calculate the frequency for each score by dividing the number of observations for that score by the total number of observations. For the score 8, this would be 5/20 = 0.25. This is the highest frequency of any score in the histogram.
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derive: s=ut + 1/2 at²
Answers
Answer:
i hope it helped U
stay safe stay happy ❤️
If the price of popcorn increases, what would you expect would happen to the market for popcorn?A. There would be a movement along the demand curve, and the quantity demanded increases.B. There would be a movement along the demand curve, and the quantity demanded decreases.C. There would be a shift to the left of the demand curve.D. There would be a shift to the right of the demand curveE. There would be a shift to the left and then to the right of the demand curve
Answers
When the price of popcorn increases, we would expect to see a movement along the demand curve in the market for popcorn, leading to a decrease in the quantity demanded. Therefore, the correct answer is B: There would be a movement along the demand curve, and the quantity demanded decreases.
This is due to the law of demand, which states that as the price of a good or service increases, the quantity demanded decreases, all other things being equal. In this case, the higher price of popcorn makes it relatively more expensive compared to other goods, which reduces the quantity demanded. As a result, consumers may look for substitute goods or decrease their consumption of popcorn. Therefore, we would not expect to see a shift in the demand curve itself, as the change in price would not fundamentally alter the underlying demand for popcorn.
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write a linear equation for f(5)=7 and f(-2)=0
Answers
Answer:
y = x + 2
Step-by-step explanation:
We start by writing the coordinates pair
(x, f(x))
So we have;
(5,7) and (-2,0)
We start by getting the slope;
m = y2-y1/x2-x1
m = 0-7/-2-5 = -7/-7 = 1
The equation of a linear equation has the general form;
y = mx + c
m is the slope and c is the y-intercept
y = x + c
to get the value of c, we make a simple substitution
we can use the x and y values of any point
7 = 5 + c
c = 7-5
c = 2
So the equation is;
y = x + 2
NEED HELP ASAP!!! PLSSSSSSSSSSSSSSSSSSSS
Answers
Answer:
p(x) = 6x - 15
Step-by-step explanation:
So, first you subtract the cost of the necklace from the revenue, equating to 6x. Then, you take your constant, 15, and plug it into the equation for profit, giving you the finished equation of p(x) = 6x - 15. Hope this helps! (:
Answer: p(x) = 6x - 15 Answer is B
Step-by-step explanation:
They are wanting to know p(x)
Given:
r(x) = 10x
c(x) = 4x +15
p(x) = r(x) - c(x) >substitute r(x) and c(x)
p(x) = 10x - (4x + 15) >Distribute -
p(x) = 10x - 4x - 15 >combine like terms
p(x) = 6x - 15 Answer is B
The diameter of a circle with an area of 490.9 square millimeters equals_____
mm. (Round to the nearest tenth.)
Help me pls
Answers
Answer:
14.1
find the square root of 490.9, then divide that by pi to get the radius. lastly multiply by two to get diameter.
What is the slope of the line represented by this equation?
-3x + 8y = 12
Answers
Answer:
The slope of the line is: y = 1/6x + 2/3
Step-by-step explanation:
HOPE THIS HELPS! PLEASE GIVE BRAINLIEST!
Answer:
-3/8
Step-by-step explanation:
I got the answer right :)
Calculate the difference between the 10th term and 50th term of the sequence 9,14,19,24, ... ...
Answers
Answer:
Step-by-step explanation:
Number series : 9, 14, 19, 24
First term = a1 = 9
common difference = a2 - a1 = 14 - 9=5
Find the nth term:
an = a1 + + (n - 1)d
an = 9+ (n - 1)(5)
an = 9+5n - 5
an = 4 + 5n
Find the 10th term:
an = 4 + 5n
a10 = 4 + 5(10)
a10 = 4 + 50
a10 = 54
Find the 50th term:
an = 4 + 5n
a50 = 4 + 5(50)
a50 = 254
Find the difference between the 10th and
50th term:
Difference = 254 - 54 = 200
Answer: The difference is 200
Given the data from the question, the difference between the 10th term and the 50th term is 200
What is an arithmetic sequence?This is a type of sequence which have common difference between each term. It is represent mathematically as:
Tₙ = a + (n – 1)d
Where
Tₙ is the nth terma is the first term n is the number of termsd is the common difference How to determine the 10th termSequence: 9,14,19, 24First term (a) = 9Common difference = 14 – 19 = 5Number of terms (n) = 1010th term (T₁₀) =?Tₙ = a + (n – 1)d
T₁₀ = 9 + (10 – 1)5
T₁₀ = 9 + (9)5
T₁₀ = 9 + 45
T₁₀ = 54
How to determine the 50th termSequence: 9,14,19, 24First term (a) = 9Common difference = 14 – 19 = 5Number of terms (n) = 5050th term (T₅₀) =?Tₙ = a + (n – 1)d
T₅₀ = 9 + (50 – 1)5
T₅₀ = 9 + (49)5
T₅₀ = 9 + 245
T₅₀ = 254
How to determine the difference 50th term (T₅₀) = 25410th term (T₁₀) = 54Difference =?Difference = T₅₀ – T₁₀
Difference = 254 – 54
Difference = 200
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Let f(x) = -x -5 and g(x)= 2x +3. f(-4) + g(-6)
Answers
Answer:
-10
Step-by-step explanation:
f(-4)=-(-4)-5
f(-4)=-1
g(-6)=2(-6)+3
-12+3
g(-6)=-9
add together:
-1+-9
=-10
i’ll give brainliest
Answers
Will mark BRAINLIST for only correct answer
Need help ASAPP
( if you don’t know or not sure please don’t answer)
Answers
Answer:
C.
Step-by-step explanation:
You would take your servings (3) and multiply it by .20.
The, you would just add the 70 into the equation.
3 x .20 = .60, 70 + .60 is 70.60 :)
Hope this helps!
Mary is at a mall observing people. She has observed 12 of the last 20 people were wearing boots. What is the experimental probability that the next person she see is NOT wearing boots?
Answers
Answer:
2/5
Step-by-step explanation:
P(boots) = 12/20
P(not boots) = 8/20 = 2/5
which of the following is a correct statement regarding the null hypothesis? the null hypothesis is sometimes called the alternative hypothesis. the null hypothesis is the one the researcher cares the most about. the null hypothesis claims the opposite of what the researcher believes. the null hypothesis is usually more accurate than the research hypothesis.
Answers
The correct statement regarding the null hypothesis is: the null hypothesis claims the opposite of what the researcher believes.
The null hypothesis is the claim that no relationship exists between two sets of data or variables being analyzed. The
null hypothesis is that any experimentally observed difference is due to chance alone, and an underlying causative
relationship does not exist, hence the term "null".
In research, the null hypothesis is a statement of no effect or no relationship between variables, while the alternative
hypothesis represents the effect or relationship the researcher is interested in demonstrating.
The purpose of statistical testing is to determine whether there is enough evidence to reject the null hypothesis in
favor of the alternative hypothesis.
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Which of the following expressions is correct? a. |-37| = 37 B. -|37| = 37 c. |-37| = -37 D. -|-37| = 37
Answers
Explanation:
anything inside of an absolute value symbol (||) is positive because it’s asking for it’s true value. think of it like this: how far away from 0 is -37 on a line graph?? 37 spaces!
Mitch ate dinner at a restaurant. The bill came to $82. If he left an 18% tip, how much was the tip?
Answers
Answer:
14.76
Step-by-step explanation:
82 x .18 = 14 76 tip
Find the period, the equation of the midline, and amplitude of the function y = 6 sin 4x.
Answers
The period of the function is 1.57 s.
The amplitude of the function is 6.
The equation of the midline, y = 6 sin 4x + 0.
What is the period and amplitude of the sine function?
The general form of a sinusoidal function is y = A sin(Bx - C) + D,
where:
A is the amplitudeB determines the period, as T = 2π/BC is the phase shift (how much the graph is shifted horizontally)D is the vertical shift (how much the graph is shifted vertically)For the given function y = 6 sin 4x, we can see that:
A = 6 (the amplitude is the absolute value of the coefficient of the sine function)
B = 4 (the coefficient of x inside the sine function determines the period)
C = 0 (there is no horizontal shift)
D = 0 (there is no vertical shift, so the midline is the x-axis)
Therefore, the period T is given by:
T = 2π/B = 2π/4 = π/2 = 1.57 s
The midline is the x-axis, so its equation is y = 0.
The amplitude is A = 6.
Therefore, we can write the equation of the function in the general form as:
y = 6 sin 4x + 0
or
y = 6 sin(4x)
Note that since the midline is the x-axis and there is no vertical shift, the sine function will oscillate between -6 and 6.
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what are all the values that a correlation r can possibly take?
Answers
The correlation coefficient, denoted as "r," can take values between -1 and 1, inclusive. In summary, the possible values of the correlation coefficient range from -1 to 1.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -1 indicates a perfect negative linear relationship, meaning that as one variable increases, the other decreases in a perfectly predictable manner.
A value of 1 indicates a perfect positive linear relationship, where both variables increase or decrease together in a predictable manner. A value of 0 indicates no linear relationship between the variables.
The correlation coefficient can take any value between -1 and 1, representing varying degrees of linear association. Values close to -1 or 1 indicate a strong linear relationship, while values close to 0 suggest a weak or no linear relationship. The sign of the correlation coefficient indicates the direction of the relationship: negative for a decreasing relationship, positive for an increasing relationship.
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for the given function, find (a) the equation of the secant line through the points where x has the given values and (b) the equation of the tangent line when x has the first value.
Answers
The equation of the secant line is y = 2x + 2. The equation of the tangent line when x = -1 is y = -x - 1, in slope-intercept form.
(a) The equation of the secant line through the points where x has the given values can be found by calculating the slope between the two points and using the point-slope form of a line.
Let's calculate the slope first:
Slope (m) = (f(x2) - f(x1)) / (x2 - x1)
For x = -1 and x = 2:
f(-1) = \((-1)^2 + (-1)\) = 1 - 1 = 0
f(2) = \((2)^2 + 2\)= 4 + 2 = 6
Slope (m) = (f(2) - f(-1)) / (2 - (-1)) = (6 - 0) / (2 + 1) = 6 / 3 = 2
Now, we can use the point-slope form with either of the two given points (-1, 0) or (2, 6). Let's use the first point:
\(y - y_1 = m(x - x_1)\)
y - 0 = 2(x - (-1))
y = 2x + 2
Therefore, the equation of the secant line is y = 2x + 2.
(b) To find the equation of the tangent line when x has the first value, we need to calculate the derivative of the function and evaluate it at that point.
f(x) = \(x^2 + x\)
Taking the derivative of f(x) with respect to x:
f'(x) = 2x + 1
For x = -1:
f'(-1) = 2(-1) + 1 = -2 + 1 = -1
Using the point-slope form with the point (-1, f(-1)) = (-1, 0):
\(y - y_1 = m(x - x_1)\)
y - 0 = -1(x - (-1))
y = -x - 1
Therefore, the equation of the tangent line when x = -1 is y = -x - 1, in slope-intercept form.
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The complete question is:
For the given function, find (a) the equation of the secant line through the points where x has the given values and (b) the equation of the tangent line when x has the first value. y=f(x)=x^2+x; x=-1, x=2 (a) The equation of the secant line is y=______ (b) The equation of the tangent line is y=_____ type your answer in slope intercept form
can someone answer page 3 question 3, page 5 question 3, all of page 6
Answers
The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7
What is trigonometrical ratios?Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle. There are three common trigonometric ratios: sine, cosine, and tangent
For page 3 question 3,
a) <A + <B = 90 since <C = right angle
b) SinA = BC/AB and CosB = BC/AB
The ratio of the two angles BC/AB ÷ BC/AB = 1
I notice that the ratio of sinA and cosB gives 1
b) The ratio of CosA and SinB will give
BC/AB ÷ BC/AB
= BC/AB * AB/BC = 1
For page 5 number 3
Tan28 = g/i
g/12.2 = tan28
cross multiplying to have
g = 12.2*tan28
g = 12.2 * 0.5317
g = 6.5
b) the angle I is given as 90-28 degrees
<I = 62 degrees
To find the side h we use the Pythagoras theorem
h² = (12.2)² + (6.5)²
h² = 148.84 +42.25
h²= 191.09
h=√191.09
h= 13.8
For page 6
1) Sin42 = x/18
x=18*sin42
x = 18*0.6691
x = 12.0
2) cos28 = 6/x
xcos28 = 6
x = 6/cos28
x [= 6/0.8829
x = 6.8
3) Tan63 = x/34
x = 34*tan63
x= 34*1.9526
x = 66.4
4) Sin50 123/x
xsin50 = 123
x = 123/sin50
x = 123/0.7660
x =160.6
5) Sin57 = P/8
Pole = 8sin57
the pole = 8*0.8387
The pole = 6.7
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9x + 4.5 - 2x = 2.3 + 7x + 2.2
does this have a infinite solution pls help
Answers
Answer:
answer of this question is 0=0
Select the correct statement.a.) The critical z-score for a two-sided test at a 3% significance level is 2.17.b.) The critical z-score for a left-tailed test at a 25% significance level is -0.40.c.) The critical z-score for a two-sided test at a 5% significance level is 1.65.d.) The critical z-score for a right-tailed test at a 17% significance level is 0.57.
Answers
The critical z-score are:
For two-sided test at a 3% significance level is 0.85For a left-tailed test at a 25% significance level is -0.675For a two-sided test at a 5% significance level is 1.96.For a right-tailed test at a 17% significance level is 1.645.Thus, none of the option is correct.
a) For 3% significance level, two critical regions on both sides with a total area of 0.03.
So, the area of the critical region on the right side would be 0.015
= 1 - 0.015
= 0.985, not 2.17.
b) The Z critical value for a left -tailed test with a 25% level of significance is ±0.675 not -0.40.
c) The Z critical value for a two-tailed test with a 5% level of significance is ± 1.96 not 1.65.
d) The Z critical value for a right -tailed test with a 17% level of significance is ±1.645 not 0.57.
Therefore, None of the statement is correct.
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5
an
The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1
centimeter represents 20 kilometers. What is the actual distance between these two cities in
kilometers? hi
Answers
Answer:
(0,2),(1,6),(−2,−6) are solutions
Let \( A=\{7,9,10,11,12\} \) and \( B=\{7,14,15,21,28\} \). Find a set of largest possible size that is a subset of both \( A \) and \( B \).
Answers
The set of largest possible size that is a subset of both A and B is {7, 21, 28}.
We are given that,
A = {7,9,10,11,12} and B = {7,14,15,21,28}
Now find a set of largest possible size that is a subset of both A and B.
Set A has 5 elements while set B also has 5 elements.
This implies that there are only a few possibilities of sets that are subsets of both A and B, and we just need to compare them all to see which one has the largest possible size.
To find the set of largest possible size that is a subset of both A and B, we simply list all the possible subsets of A and compare them with B.
The subsets of A are:
{7}, {9}, {10}, {11}, {12}, {7, 9}, {7, 10}, {7, 11}, {7, 12}, {9, 10}, {9, 11}, {9, 12}, {10, 11}, {10, 12}, {11, 12}, {7, 9, 10}, {7, 9, 11}, {7, 9, 12}, {7, 10, 11}, {7, 10, 12}, {7, 11, 12}, {9, 10, 11}, {9, 10, 12}, {9, 11, 12}, {10, 11, 12}, {7, 9, 10, 11}, {7, 9, 10, 12}, {7, 9, 11, 12}, {7, 10, 11, 12}, {9, 10, 11, 12}, {7, 9, 10, 11, 12}.
We now compare each of these subsets with set B to see which one is a subset of both A and B.
The subsets of A that are also subsets of B are:
{7}, {7, 21}, {7, 28}, {7, 14, 21}, {7, 14, 28}, {7, 21, 28}, {7, 14, 21, 28}.
All the other subsets of A are not subsets of B, which means that the largest possible subset of A and B is the set {7, 21, 28}.
Therefore, the set of largest possible size that is a subset of both A and B is {7, 21, 28}.
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what is x+x+2+x+4+x+6=-28
Answers
-12 -12
4x=16
X=4
For each pair of signals x() and ℎ() given below, compute the convolution integral y() = x() ∗ ℎ()
1) x() = () and ℎ() = ^(−2) ( − 1)
Answers
The convolution integral y(t) = x(t) * h(t) for the given pair of signals x(t) and h(t) can be computed as follows:
y(t) = ∫[x(τ) * h(t - τ)] dτ
1) x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1)
The convolution integral becomes:
y(t) = ∫[δ(τ) * δ(t - τ - 2) * (τ - 1)] dτ
To evaluate this integral, we consider the properties of the Dirac delta function. When the argument of the Dirac delta function is not zero, the integral evaluates to zero. Therefore, the integral simplifies to:
y(t) = δ(t - 2) * (t - 1)
The convolution result y(t) is equal to the shifted impulse response h(t - 2) scaled by the factor of (t - 1). This means that the output y(t) will be a shifted and scaled version of the impulse response h(t) at t = 2, delayed by 1 unit.
In summary, for x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1), the convolution integral y(t) = x(t) * h(t) simplifies to y(t) = δ(t - 2) * (t - 1).
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