Identify all sets to which the number -3/4 belongsa. rational numbers
b. odd numbers, whole numbers, integers, rational number
c. whole numbers, integers, rational number
Answers
Answer:
a. rational numbers
Step-by-step explanation:
we observe that -3/4 is a proper fraction (i.e it is a rational number)
hence
1) It cannot be a whole number
2) it cannot be an integer
therefore any answer choices that mention whole number or integer is not correct. By default, only a is correct.
Final answer:
The number -3/4 can be found within the set of rational numbers. It does not belong to the sets of odd numbers, whole numbers, or integers, as these contain only whole numbers.
Explanation:
The number -3/4 is a rational number. Rational numbers represent any number that can be expressed as a fraction or ratio of two integers, with a non-zero denominator. Sets like odd numbers, whole numbers, and integers are part of number systems that include only whole numbers, and given that -3/4 is not a whole number, it does not belong in these sets. Therefore, from the given options, the correct one is: The number -3/4 belongs to the set of rational numbers.
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Related Questions
The volume of a cube can be written as a function of its edge length, V(x) = x^3. Which is a correct interpretation of V(2x)?(A) The volume of a cube doubles when its edge length doubles.B) The volume of a cube increases by a factor of 4 when its edge length doubles.©The volume of a cube increases by a factor of 6 when its edge length doubles.D The volume of a cube increases by a factor of 8 when its edge length doubles.
On Saturday morning, Owen earned $24 raking leaves. By the end of the afternoon he had earned a total of $62. Write an equation to determine whether Owen earned $38 or $31 on Saturday afternoon.
Write an expression that is equivalent to 3/4(5z+16).
MAth help please this is not what I know
b) H = A + 2LW/2L + 2W
c) H = A - 2LW/4LW
d) H = A/2L + 2W - 2LW
Answers
Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)
Answers
Neighborhood B: 45 homes. Each year increases by 3.
A: 30(1.20)^x
B: 45 + 3x
A: 30(1.20)^5 = 30(2.48832) = 74.6496 or 75 houses
B: 45 + 3(5) = 45 + 15 = 60 houses
Answers
Hi,
Theoretically, there is an infinity of such functions. Few examples:
f(x)=ln(x-3), or f(x)=lg(x-3), where ln is natual logaritm, and lg is decimal logaritm.
Green eyes.
Answers
Y is less than or equal to 5.
Final answer:
The range of the absolute value function f(x) = 5 - |x - 4| is (-∞ , 5] because the function will always be less than or equal to 5, but there's no lower limit as the function will decrease indefinitely as |x - 4| increases.
Explanation:
The function given is f(x) = 5 - |x - 4|, which represents an absolute value function. The range of a function refers to the possible values of f(x) or y in the function. In general, the absolute value function has a range of all non-negative numbers. However, because the function is subtracted from 5, the values of this particular function will decrease as x moves away from 4, in either direction.
Therefore, the maximum value of the function occurs when the absolute value equals to zero (i.e., x = 4), then f(x) = 5 - 0 = 5. As you move away from 4, the absolute value increases and thus subtracts more from 5, making f(x) smaller. So, f(x) will always be less than or equal to 5, but there is no lower limit, as the function will continue to decrease indefinitely as |x - 4| increases. Hence the range of the function f(x) = 5 - |x - 4| is (-∞ , 5].
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232 − 172 = 529 − 289 = 240
232 − 172 = (23 + 17)(23 − 17) = (40)(6) = 240
232 − 172 = (23 − 17)2 = (6)2 = 36
Answers
The difference of perfect square is 240 is correct.
When a binomial is composed of two perfect squaresseparated by a subtraction symbol,
A certain method called the difference of perfectsquares is as follows,
What is the method of the difference of perfect squares?
The difference of perfect squares method can be done by multiplying the sum and difference of the two square roots. This is shown below:
Therefor the difference of perfect square is 240 is correct.
To learn more about the perfect square method visit:
23^2 - 17^2 = (23 + 17)(23-17) = (40)(6) = 240
If there are 18 people, then 12 of them are athletes.
If there are 3 athletes, then there are 12 musicians.
The number of musicians is 3 times the number of athletes
Answers
Answer: The answer is (D) The number of musicians is 3 times the number of athletes.
Step-by-step explanation: Given that the ratio of musicians to athletes in a school is 3 : 1. We are to select the correct statement out of the given four options.
Since the total number of people are not given, so we cannot say that 13 of them are musicians. Therefore, option (A) is incorrect.
If there are 18 people, then number of athletes is given by
and hence the option (B) is not correct.
If there are 3 athletes, then
x=3, and so the number of musicians = 3 × 3 = 9 ≠ 12. Therefore, the option (C) is not correct.
Number of musicians = 3x = 3 × x = 3 × number of athletes.
Thus, the correct option is (D) The number of musicians is 3 times the number of athletes.