2. What is the range of the relation below?{(-4, 1), (-2, 0), (8, -1)}A. { 1, 1}B. {-1, 0, 1}C. {-4, -2, 8}D. {-4, -2, -1,0, 1, 8}
Answers
We are given the following relation.
\(\mleft\{\mleft(-4,1\mright),(-2,0),(8,-1\mright\}\)Range:
The range is all the (y) output values in a relation.
Find the y values in the given ordered pairs (x, y)
\(range=\mleft\lbrace1,0,-1\mright\rbrace\)Therefore, the correct option is B.
Related Questions
-5p = -40 solve for t
Answers
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
What the value of x.please
Answers
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name, or symbol. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
sorry if this doesn't help
Work out the acceleration, in km/h^2 in the first 15mins
Answers
a computer expert can do a job on the computer in 6 hours. His secretary can do the same job in 7 hours. After the expert works on the job for 2 hours, his secretary takes over and completes the job. How many hours did it take her to complete the job?
Answers
Answer:
4 + 2/3 hours
Step-by-step explanation:
For the expert,
6 hours = 1 job
For the secretary,
7 hours = 1 job
We want to figure out how much the expert gets done in 2 hours.
2 hours = x jobs for the expert.
To turn 6 hours = 1 job into this, we can multiply both sides of the equation by 2 (the number we want to get to) / 6 (the number we are at) to get
6 hours * 2/6 = 1 job * 2/6
2 hours = 2/6 jobs
Therefore, the expert does 2/6 of the job, and 1-2/6 = 4/6 of the job is left for the secretary. We want to figure out how long it takes for her to complete the job
We know
7 hours = 1 job
and want to figure out
y hours = 4/6 jobs
We can multiply both sides of the original equation by (4/7) (the number we want to get to) / 1 (the number we are at) to get
7 hours * 4/6 = 1 job * 4/6
28 /6 hours = 4/6 jobs
= 4 + 4/6 hours
= 4 + 2/3 hours
four times as many as 4 pencils is p
Answers
Answer:
\(16=p\)
Step-by-step explanation:
Equation from problem:
\(4(4)=p\)
Solve:
\(16=p\)
What is the general formula for an parallelogram
Answers
Answer:
A = bh
Step-by-step explanation:
Area = base × height
Area = base · height
A = bh
Would you classify the number 289 as a perfect square, perfect cube, both, or neither?
Answers
Answer:
a perfect square because 17 x 17 = 289
It's not a perfect cube
Step-by-step explanation:
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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If the probability that a vaccine you took will protect you from getting the flu is 0.977, what is the probability that you will get the flu?
Probability that you will get the flu =
Answers
Answer:
Step-by-step explanation:
0.033
Show the algorithm/abstract strategy to justify the 3/5?
Answers
The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.
To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.
Algorithm/Abstract Strategy:
Start with the numerator, which is 3.
Identify the denominator, which is 5.
Interpret the fraction as a ratio or comparison between the numerator and denominator.
Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).
Perform the division: 3 ÷ 5.
Simplify the division to its simplest form, if necessary.
The result of the division, in this case, is the decimal representation of the fraction.
If required, convert the decimal representation to a percentage or any other desired form.
For example, if we perform the division 3 ÷ 5, the result is 0.6.
So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.
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please help i struggle with mathematics thank you
Answers
Answer:
A) 17
B) 50
C) 9
Step-by-step explanation:
A)3 x 5 + 2
15 +2 =17
B) 2 x 5^2
2 x 25= 50
C) (5-2)^2
3^2= 9
Suppose you toss a coin 100 times and get 91 heads and 9 tails. Based on these results, what is the probability that the next flip results in a head?The probability that the next flip results in a head is approximately_________(Type an integer or decimal rounded to two decimal places as needed.)
Answers
total toss = 100
heads = 91
tails = 9
Probability of heads = heads / total toss = 91 / 100 = 0.91
Answer = 0.91
Use the given angle measures to find the indicated
Answers
Answer:
m∠PQT = 77.6°
Step-by-step explanation:
PQT = PQR-TQR
PQT = 118 - 40.4
PQT = 77.6°
If my answer is incorrect, pls correct me!
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-Chetan K
During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T shirt is launched from a heigh of 4 feet with an initial upward velocity of 72 feet per second. Use the equation h(t)= -16t^2+72t+4, where t is time in seconds and h(t) is height. How long will it take the T shirt to reach its maximum height? What is the maximum height?
Answers
During halftime of a basketball game, a slingshot launches T-shirts at the crowd.
it takes the T-shirt 9/4 secondsThe maximum height of the T-shirt is 77 feet.What is the maximum height?
Generally, To find the time it takes the T-shirt to reach its maximum height, we need to find the time when the height of the T-shirt stops increasing and starts decreasing. At this point, the velocity of the T-shirt will be 0, since it is not moving up or down.
The velocity of the T-shirt at any time t can be found by taking the derivative of the equation for height:
v(t) = dh/dt = -32t + 72
Setting the velocity to 0 and solving for t, we get:
0 = -32t + 72 32t = 72 t = 72/32 t = 9/4
So it takes the T-shirt 9/4 seconds, or approximately 2.25 seconds, to reach its maximum height.
To find the maximum height, we plug this value back into the equation for height:
h(t) = -16(9/4)^2 + 72(9/4) + 4 h(t) = -81 + 162 + 4 h(t) = 77
The maximum height of the T-shirt is 77 feet.
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AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answers
When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.
We can use the Pythagorean theorem to find the length of AB:
AB^2 = AD^2 + BD^2
Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:
(8x)^2 = (x + 9)^2 + (7x - 9)^2
64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81
64x^2 = 50x^2 - 108x + 162
14x^2 + 108x - 162 = 0
Dividing the equation by 2, we get:
7x^2 + 54x - 81 = 0
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
a = 7, b = 54, c = -81
x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)
x = (-54 ± √(2916 + 2268)) / 14
x = (-54 ± √5184) / 14
x = (-54 ± 72) / 14
Now we solve for x:
Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7
Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9
Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.
Therefore, x = 9/7.
Substituting this value back into AB = 8x:
AB = 8 * (9/7) = 72/7 ≈ 10.29
Rounding to 2 decimal places, the length of AB is approximately 10.29 units.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
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Write an explicit formula for an, the nth term of the sequence 30, 35, 40
Answers
Answer:
The sequence is increasing by 5 at each step. So, we can write:
a1 = 30
a2 = 30 + 5 = 35
a3 = 30 + 25 = 40
a4 = 30 + 35 = 45
a5 = 30 + 4*5 = 50
We notice that the nth term is given by:
an = 30 + (n-1)5
So, the explicit formula for the nth term is:
an = 25n + 5
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 59 kilograms. A
delivery of large boxes and 4 small boxes has a total weight of 149 kilograms. How much does each type of box weigh?
a
Answers
i want to know how to solve subtracting fractions.8'-1 5/16" - 2' - 8 3/16"
Answers
SOLUTION:
Step 1:
In this question, we are meant to evaluate the following:
Recall that 12 inches make 1 foot.
Step 2:
Based on this, we need to evaluate:
\(\begin{gathered} 8\text{ feet - 1 }\frac{5}{16}\text{ inch - 2 f}eet\text{ - 8 }\frac{3}{16}\text{ inch} \\ (\text{ 8 x 12 ) inches - 1}\frac{5}{16}\text{ inch - ( 2 x 12 ) inches - 8}\frac{3}{16}\text{ inch} \end{gathered}\)\(\begin{gathered} 96\text{ - 1}\frac{5}{16}\text{ - 24 - 8}\frac{3}{16} \\ =\text{ 72 - 9}\frac{1}{2} \\ =\text{ 62}\frac{1}{2}\text{ inches} \end{gathered}\)CONCLUSION:
The final answer is :
\(62\frac{1}{2}\text{ inches}\)Which of the following statements is true regarding that equation |x+3|-2=k?
Answers
The true statement is if k = - 1 there are solutions, but if k = - 3 there are no solutions
How to determine which statement is true regarding the equation |x+3|-2=k?
Given: |x+3|-2=k
Below are rules for solving absolute value equations:
1. If p is positive and |y| = p, then
x = p OR y = -p
(two equations are set up)
2. If p is negative and |y| = p, then
No solution
3. If p is zero and |y| = p, then
One solution
Using the rules:
|x+3|-2=k
when k = -1
|x+3|-2= -1
|x+3| = 1
Rule 1 is applicable here. Thus, there are solutions
when k = -3
|x+3|-2 = -3
|x+3| = -1
Rule 3 is applicable here. Thus, no solution
Therefore, if k = - 1 there are solutions, but if k = - 3 there are no solutions. The 2nd option is the true statement
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g in a school course, course x is related to course y if all the students who take course x are also in course y
Answers
This question is incomplete , I am answering this question in general as per my knowledge.
No, because you gave T a Boolean when T expected a student as its first argument and a course as its second parameter. This will be less formal if.
The expected,
T(‘‘user2012813",‘‘discrete math")=true
However, the function F(x) and A both yield either true or false (y). Thus, you are attempting to assess
T(F(‘‘user2012813"),A(‘‘discrete math"))=T(true, false)= NULL
Only the first formulation makes sense, but after relations are established, these kinds of structures can be used.
Null functions as both a value and a pointer in computer programming. A built-in constant called null has a value of zero. It is the same as how strings in C are terminated with the letter 0.
Null is another possible value for a pointer, and unless the CPU supports a unique bit pattern for a null pointer, it has the same value as zero.
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When 7 times a number is decreased by 1, the result is 9 more than 5 times the number?So I got this below: 7x-1 = 9+5yHow do I find the number?
Answers
5
1) Translating that into a mathematical expression, we can write out the following. Let's call this number by "n":
\(\begin{gathered} I)7n-1 \\ II)9+5n \\ 7n-1=9+5n \\ 7n-5n=9+1 \\ 2n=10 \\ \frac{2n}{2}=\frac{10}{2} \\ n=5 \end{gathered}\)Just one mistake: when we refer to the same number we use the same variable.
-8m+28=156-12m please help me !!!!
Answers
Answer:
pls mark as brainliest :)
m=32
No explanation required
Answers
Reason:
There are no repeated x values, so each x input leads to exactly one y output. That's why we have a function.
If we had something like (1,18) and (1,12), then the input x = 1 leading to simultaneous outputs y = 18 and y = 12 would mean we wouldn't have a function.
Question 7
Jorge earned 91, 84, 87 on his first three out of four Algebra tests. He wants to get an
average of 90 in the class. What should he make on his last test to achieve this goal?
Answers
To earn an average score of 90, the score on the fourth test needs to be 98.
What is average?The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.
Given the score of the first three tests as:
91, 84, 87.
The average is given by the following formula:
Average = Sum of scores ÷ total number of tests
Let us suppose the score of fourth test as x.
Given that A = 90:
90 = (91 + 84 + 87 + x) ÷ 4
x = 98
Hence, the score on the fourth test must be equal to 98, to get an average score of 90.
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Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?
Answers
Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
How to determine which day of the week was their exam scheduledTo determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.
If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.
Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.
However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.
Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
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Two stores are having a donut sale. Donald's Donut Shop is selling 10 donuts for $9.00. Sunrise donut company is selling 8 donuts for $7.00.
a. How much does a donut cost at Donald?
b. How much does a donut cost at Sunrise?
c. Who has the better deal on donuts?
Answers
Answer:
A. A donut cost 0.9 at donalds shop
B.a donut cost 0.875 at sunrise
C.the better deal is Sunrise
Step-by-step explanation:
A random sample of 20 healthy adults eating a traditional American diet is selected. They agree to adopt a vegetarian diet for 1 month. Based on their 20 sample cholesterol change values, a 95% one-sample t confidence interval for the population mean change in blood cholesterol level after switching diet is reported as the interval -27.9 to -11.6 mg/dl. If we use a matched-pairs t confidence interval in some statistical software with the 20 sample cholesterol values at the beginning of the study and the 20 sample cholesterol values at the end of the study, the resulting 95% confidence interval;a) could be narrower or wider but we cannot tell until we get the software output.b) would be much narrower.c) would be slightly narrower.d) would be exactly the same.e) would be much wider.f) would be slightly wider.
Answers
I’ll give you so many point SOOOO MANY POINTS HELP IM GONNA FAIL MY CLASS
Answers
Answer:
502
Step-by-step explanation:
4 times 125.50 equals 502
Cookies are sold in singly or in packages of 6 or 18. With this packaging how many ways can you buy 36 cookies?
Answers
The ways to pack are
10 singles. One package of 6 and 4 singles. One package of 6 and one packages of 4 Two packages of 4 and 2 singles One package of 4 and 6 singlesThis is further explained below.
What is packaging ?Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.
In conclusion,
10 singles. One package of 6 and 4 singles. One package of 6 and one packages of 4 Two packages of 4 and 2 singles One package of 4 and 6 singlesRead more about packaging
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3/4of players in a carnival band are woman and the rest of man if there a 48 woman how many men are there
Answers
Answer:
16
Step-by-step explanation:
Answer:
16 men
Step-by-step explanation:
3/4 x = 48 3/4 of the people in the band are women. x is the total.
3/4 * 4/3 x = 48 * 4/3 Multiplied both sides by 4/3
x = 64
There are 64 people total.
64 - 48 = 16 men.