Use interval notation to express the set of real numbers x that satisfies the inequality -2 <= x < 5.
Answers
To express the set of real numbers x that satisfies the inequality -2 ≤ x < 5, we used the Interval notation method and got the solution set as [-2,5).
Interval Notation Method :Interval notation is a way of representing intervals on the number line. That is, how to write a subset of the real number line. Intervals include numbers between two specific numbers. We can use this notation to express inequalities.
Generally, we read about the three types of intervals :
Open intervals : This type of interval does not contain the endpoints of the inequality. For example, for set {x | -a< x < b}, the open interval notation is (-a, b).Closed Intervals: This type of interval contains the endpoints of the inequalities. For example, for set {x | -a≤ x ≤ b} the closed interval notation is [-3,1].Half-Open Interval: This type of interval contains only one endpoint of the inequality. For example, for set {x| -a ≤ x < b} the half-open interval notation is [-3,1).We have given an inequality as -2 ≤ x < 5
We have to express the set of real numbers x that satisfies the given inequality.
Let's started, The first thing we'll want to ask ourselves is if we're going to use parentheses or brackets when we write this.
y = { x | -2 ≤ x < 5 }
We see that the lower value of x is -2 or greater than -2 and higher value of x is less than 5. We're just going to write it down. Using the interval notation, the lower side x is greater than and equal to -2 so, we use closed bracket here and the upper side x is less than 5 that is we use parentheses or open bracket here.
Thus, in interval notation y = x , x∈[-2, 5)
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Related Questions
The line plot shows how long Nora read during each reading session last week.
What is the total time she read during these sessions?
Answers
Nora covered a total distance of 13 miles during these sessions.
How to determine the total distance?The parameter is represented by the line plot.
We can find the following frequency table from the line plot:
Distance Frequency
0 0
1/2 4
1 3
1 1/2 1
2 2
2 1/2 1
3 0
The overall separation from the line plot is then shown as
Total distance = sum of the distance-frequency product
The following equation can be found in mathematics.
Total distance = (0 * 0) + (1/2 * 4) + (1 * 3) + (1 1/2 * 1) + (2 * 2) + (2 1/2 * 1) +
(3 * 0)
Rank the total number of products
Total distance = 13
The total distance is therefore 13 units.
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Is this a false or true statement? Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
Answers
This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.
How is regression calculated?Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.
What makes regression math so special?Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.
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What is the solution to the compound inequality: 10<2x-4<20
Answers
Answer:
7 < x < 12
Step-by-step explanation:
To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.
\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)
In a 51-inch television, the length of the screen's diagonal is 51 inches. If the screen's height is 25 inches,
what is the width? Round your answer to the nearest tenth of an inch.
Answers
Answer:
44.452
Step-by-step explanation:
Using the Pythagorean theorem you can use:
51^2 = 25^2 + w^2
2601 = 625 +w^2
w^2 = 1976
w = 44.452
Answer:
The width is 44.5in.
Step-by-step explanation:
25^2 + b^2 = 51^2
625 + b^2 =2601
b^2= 2601-625=1976
Square root it (1976)
=44.45= 44.5
A cylinder has a diameter of 6 cm and a height of 3 cm. What is the surface area of the cylinder? Enter your answer, in exact form, in the box.
Answers
If the diameter and height of the cylinder are 6 cm and 3 cm. Then the surface area of the cylinder is 56.55 square cm.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A cylinder has a diameter of 6 cm and a height of 3 cm.
Then the surface area of the cylinder will be
\(\rm SA = \pi d h\)
We have
d = 6 cm
h = 3 cm
Then the surface area will be
\(\rm SA = \pi \times 6 \times 3 \\\\SA = 56.55\)
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The table shows the hourly wages (in dollars) of employees after they have worked at a company for x years. Use the linear regression feature
on a graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest hundredth.
Then use your equation to estimate the hourly wage of an employee who has worked at the company for 12 years.
Years, x Hourly wage (dollars per hour), y
1
$8.75
5
$10.50
3
$9.25
7
$11.25
The line of best fit is y =
The aproxímate hourly wage of a person who has worked at the company for 12 years is $___ per hour
Answers
Answer:
y= 0.5x + 8.2
$13.6 per hour
Step-by-step explanation:
(Is it weird that I had the same exact question? Maybe not. But I also found another person with the same question as me. It was a different question though. This is probably too late. But I'm just gonna try to answer it for anyone who needs it.
"Linear regression" is just a fancy word for scatter plots. Scatter plots take place in graphs. The dots or plots are scattered and the way they are scattered means something. If it's going down, it's negative, up it's positive, and if it's scattered, it has no corrolation.
Also, you should have learned this in 9th grade. So, check your notes.
If you don't have it, WRITE IT!!!
To find it in your calculator:
1. Go to "Lists and Spreadsheets"
2. Rename the first column "x" and the second on "y"
3. Write all of your numbers in the right column
1, 5, 3, 7 under the "x"
8.67, 10.50, 9.58, 11.41 under the "y"
4. Move your cursor to an empty cell
4. Click: "MENU" #4 #1 #3
5. Rename the correct rows "x" and "y" and press enter
6. Now you can find "m" and "b"
7. Then move your cursor to an empty cell and click "doc" "insert" #7
8. Find the x-axis and find "x"
9. Find the y-axis and find "y"
10. Now press "MENU" #4 #6 #1
And you found your y=mx+b: y=0.5x+8.2
Now, how much money per hour.
So you've found your m and b but now you have to:
1. Replace y with 15 and solve it
15=0.5x+8.2
-8.2 -8.2
6.8=0.5x
Divide 0.5 on both sides
6.8/0.5=13.6
13.6=x
$13.6 per hour
6.X + 4 using the algebra
tiles.
What tiles need to be added to both sides to remove the
smaller x-coefficient?
What tiles need to be added to both sides to remove the
constant from the right side of the equation?
What is the solution?
Answers
Answer:
i
Step-by-step explanation:
is
coooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooool
Answer:
What tiles need to be added to both sides to remove the smaller x-coefficient?
✔ 5 negative x-tiles
What tiles need to be added to both sides to remove the constant from the right side of the equation?
✔ 4 negative unit tiles
What is the solution?
✔ x = –6
Step-by-step explanation:
Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
(48-17) - w
Answer here
SUBMIY
Answers
The simplified version of the expression would be 31-w
The numerical part of the expression given is :
48-17Simplifying using Subtraction operation:
48-17 = 31Adding the alphabetical part :
31 - wTherefore, the simplified form of the expression is 31-w.
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what is the raito 40 to 18
Answers
Answer:
20:9
Step-by-step explanation:
Here we will simplify the ratio to 40:18 for you and show you how we did it.
To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.
The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:
20:9
Please Expand the following y( y + 2)
Answers
Answer:
\(y^{2} + 2y\)
Step-by-step explanation:
y times y is \(y^{2}\)
2 times y is 2y
-9 (-2) please answer
Answers
Answer:
18
Step-by-step explanation:
You can multiply 9 x 2 like normal to get 18. Then you look at the signs. They are both negative, meaning their product is positive, making the answer 18.
When you multiply two negative numbers, the product is positive.
Solve for x.
Greatly appreciate all efforts :)
Answers
Answer:
x = 11
Step-by-step explanation:
ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.
Angles in an equilateral triangle are all 60°.
Thus, ∠L = 60°.
=> 3x + 27 = 60
=> 3x = 33
=> x = 11
\(x=11\)
Step-by-step explanation:
Given :-\(∠L=(3x+27)°\)
ToFind:-Value of x.
We know that:-\(∠L= ∠K= ∠M=(3x+27)°\)
[All sides of triangle are equal]
According to question:-\(∠L+ ∠K+ ∠M= 180°\)
[Sum of all of triangle is 180°]
\(=>3x+27°+3x+27°+3x+27°=180°\)
\(=>9x+81 =180°\)
\(=>9x=180°-81\)
\(=>9x=99\)
\(=>x=\frac{99}{9}\)
\(=>x=11\)
The value of x is 11.I NEED HELPP
1. Graph the numbers on the number line
1. Use <, > or = to compare
2. Graph the numbers on the number line
3. Use <, > or = to compare
4. Write in order from least to greatest
5. Write in order from greatest to least
Answers
Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.
Define comparing.Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.
Given,
Comparing the following using <, > or = ,
Numbers:
√17 and 29/7
For √17
Simplifying,
√17 = 4.123
For 29/7
29/7 = 4.14
√17 < 29/7
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Can someone explain to me how you dot these?
Answers
Answer and Step-by-step explanation::
250 grams.
Is that 0.25 kg converted to grams? the picture is way too small.
Every kg has 1000 grams. Because it is 0.25 kilograms, you need to take 0.25 of 1000.
1000
x
0.25
= 250.
PLEASE PLEASE HELP!!!!!! I REALLY NEED HELP!!!
Alisha turned in this quiz in her algebra class.
A. What method did she use?
B. What is missing from her solution?
C. Complete Anisha's solution
SOLVE THIS SYSTEM:
y=x-5
3y+2x=5
SOLUTION:
3(X-5)+2X=5
3X-15+2X=5
5X=20
X=4
Answers
A.) Substitution
B.) The y value
C.) y=4-5
y=1
x=4, y =1
Solution: (4,1)
When you graph y ≥ 2x - 5, what part of the half-plane you will shade?
Correct answer= all my points and brainlist wrong= report and take back my points
Answers
The graph of the linear inequality y ≥ 2x - 5 is attached below with it's shaded part included.
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.
In the given problem, the inequality presented is;
y ≥ 2x - 5
To graph this, we would use a graphing calculator to find the boundary lines and plane.
In the graph below, the x and y intercept is at (2.5, -5) and the shaded part is on the left side of the graph.
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Which of the following expressions is equivalent to (8x)2/3 ?
a
4 cubic root of x^2
b
Cubic root of 8x^2
c
4x^2/3
d
(8^2/3) (x^2/3)
Answers
Answer: C. 4x^2/3 is ur answer
Choose the equation below that represents the line passing through the point (2, -4) with a slope of(1 point)Oy=kx-3Oy -x+5Oy-1x+3Oy=1x-5
Answers
The equation of a line in slope-intercept form can be written like this:
y = mx + b
Where m is the slope and b is the y-intercept of the line.
In this case, the slope of the line is 1/2, then we can rewrite the above equation like this:
y = (1/2)x + b
We are also told that this line passes through (2, -4), by replacing 2 for x and -4 for y into the above equation, we can solve for the value of b, like this:
-4 = 2(1/2) + b
-4 = 1 + b
-4 - 1 = 1 - 1 + b
-5 = b
b = -5
Then, we can rewrite the equation of the line, like this:
y = (1/2)x - 5
Then, the last option is the correct answer
For what values of m, the relation
K= {(-1.5m +4, -23), (6m - 7,23)}
is not a function
Answers
by definition a function has no X-repeats, or namely the set K must not have any x-values for any of the coordinate pairs repeated, so the x-values must be unique for each pair, now if it ever happens that for some reason two values end up being the same or equal, then holy smokes, we no longer have a function, hmmm well, when will that happen? that can happen if -1.5m + 4 = 6m - 7
\(-1.5m+4=6m-7\implies 4=7.5m-7\implies 11=7.5m\implies 11=\cfrac{15m}{2}\\\\\\22=15m\implies \cfrac{22}{15}=m\implies 1\frac{7}{15}=m\)
and we can also include the negative of "m" or namely \(\pm1\frac{7}{15}=m\)
Mark each statement True or False. Justify.
1. A linear transformation T W Rn ! Rm is completely determined by its effect on the columns of the n * n identify matrix.
A. True
B. False
2. If A is a 3 * 2 matrix, then the transformation x Ax cannot be one-to-one.
A. TrueB. False
Answers
Answer:
1. A. True
2. B. False
Step-by-step explanation:
The columns of the identity matrix are basis vector in Rn. Every vector can be written as linear combination and T is linear transformation. The transformation map can be from R2 to R3. It can be one to one. If A is 3*1 matrix, then transformation x Ax can not be R2 onto R3. Properties of linear transformations are preserved under rotation.
A city holds an election for mayor every 2 years and an election for treasurer every 6 years. It held elections for both mayor and treasurer this year. How many years will
it be before the elections for mayor and treasurer both happen in the same year again?
Answers
Answer:
3years
Step-by-step explanation:
Answer:
It will take for about 6 six years for the election for both positions be taken
Leanne sells magazine subscriptions over the telephone. She earns $14 for every subscription she sells.
How much will Leanne earn if she sells
a) 10 subscriptions?
b) 15 subscriptions?
Answers
Leanne will earn if she sells: $140 if she sells 10 subscriptions and $210 if she sells 15 subscriptions.
We are given:
Leanne earns $14 for every subscription she sells.
We need to find earnings of Leanne for the sale of 10 subscriptions and 15 subscriptions.
We will solve the given problem using the unitary method.
Since for 1 subscription Leanne sells, she earns $14.
So, for 10 subscriptions Leanne sells, she will earn $14 * 10 = $140.
So, for 15 subscriptions Leanne sells, she will earn $14 * 15 = $210.
So, for 10 subscriptions Leanne earns $140 and for 15 subscriptions Leanne earns $210.
Thus, Leanne will earn if she sells: $140 if she sells 10 subscriptions and $210 if she sells 15 subscriptions.
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6 + x is an example of _____. a formula a constant a variable an expression
Answers
Answer:
it is an example of an expression
Step-by-step explanation:
it is an example of an expression because it is asking a question without an equal sign. so its not a question, but an expression
Find the missing angle!
Answers
∠PRQ = ∠STR
∠STR + 60° + 58° = 180°
∠STR = 62°
∠PRQ = 62°
Seven subtracted from seven times a number is 147. What is the number?
Answers
Answer:
I answered your duplicate question. Make sure to check out the answer, and I hope it helps!
Which expression can you use to find the area of the rectangle? 3 times 6, 4 times 6 ,9 times 4. 4 times 3
Answers
Answer:
9 times 4
Step-by-step explanation:
Answer:
9 x 4.
Step-by-step explanation:
i got it right
if y=8, evaluate the following expression: 40-5y
Answers
Explanation:
y = 8
40 - 5 x 8
40 - 40
= 0
Have a nice day
Current Attempt in Progress
In a list of 15 households, 9 own homes and 6 do not own homes. Four households are randomly selected from these 15 households.
Find the probability that the number of households in these 4 who own homes is exactly 4.
Round your answer to four decimal places.
Answers
The most appropriate choice for probability will be given by:
Probability that the number of households in these 4 who own homes is exactly 4 = \(\frac{42}{455}\)
What is Probability?
Probability of an event is the chance of occurance of that event.
Probability can be obtained by Number of favourable outcomes divided by the total number of outcomes
Probability varies from 0 to 1.
Here,
Total number of households = 15
No of households to be selected = 4
4 households can be selected from 15 households in \(15 \choose 4\) ways
= \(\frac{15!}{(15-4)! \times 4!}\\\)
= \(\frac{15!}{11! \times 4!}\)
\(=\frac{15 \times 14 \times 13 \times 12}{1 \times 2 \times 3 \times 4}\)
= \(1365\) ways
Now,
Number of households who own homes = 9
4 households can be chosen from 9 households in \(9 \choose 4\) ways
\(\frac{9!}{(9-4)! \times 4!}\\\)
= \(\frac{9!}{5! \times 4!}\)
\(=\frac{9 \times 8 \times 7 \times 6}{1 \times 2 \times 3 \times 4}\)
= \(126\)
Probability that the number of households in these 4 who own homes is exactly 4 = \(\frac{126}{1365}\)
= \(\frac{42}{455}\)
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find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answers
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²Which of the following best describes a square root?
Answers
Answer:B
Step-by-step explanation: a factor of a number that is multiplied by itself