[tex]\{(x,y) | \ \ x+y = c, \ c \in \mathbb{R}\}[/tex]
Explanation:
The notation for choice A basically says "we have a line of the form x+y = c where c is a real number". Then points on the line in the form (x,y) will form a particular partition. A partition is where we break a set up into non-overlapping subsets and there are no gaps. Think of it like breaking up a house into multiple rooms. Each room is a subset of the house. There are no gaps or overlaps (ignore the regions in the walls).
Take note that if a point is on a line like x+y = 5, then it cannot be on any other line of the form x+y = c, where c is not equal to 5. Something like (x,y) = (2,3) is on x+y = 5 and not on any other line. If c is allowed to be any real number, then x+y = c will be able to partition the real numbers.
Put another way, we can pick any real number we want (aka the number c) and break it down into a sum of x and y values. Such a sum cannot yield any other c value. So going back to the house/room analogy, any particular (x,y) ordered pair will belong to one and only one room.
Let's look at an example of a non-answer. Choice B is not correct because it is perfectly possible to have circles intersect. Intersecting circles share at least one common point. Those common points are what break the idea of partitions. This idea also means choice C is false as well.
Choice D can be ruled out because the notation should be (x,y) in R2 and not simply R.
The collections of subsets of the plane, R2 is (a) {{x,y) : x + y = c} : c ∈ R}
What is a subset ?If X is a subset of Y then all the elements of A also contained in B.
According to the given statement we have o determine which of the following collections of subsets of the plane R2.
R2 defines a two dimension plane.
x+y = c where c is a real number.
Then points on the line in the form (x,y) will form a particular partition. A partition is where we break a set up into non-overlapping subsets and there are no gaps. Think of it like breaking up a house into multiple rooms. Each room is a subset of the house.
Take note that if a point is on a line like x+y = 7, then it cannot be on any other line of the form x+y = c, where c is not equal to 7. Something like (x,y) = (3,4) is on x+y = 7 and not on any other line.
B. Is not correct because it is perfectly possible to have circles intersect. Intersecting circles share at least one common point. Those common points are what break the idea of partitions.
C. is false as well
D. Is ruled out because the notation should be (x,y) in R2 and not simply R.
Learn more abouts subsets and planes here :
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Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?
Answer:
they travel 115 km/h long
-y- 3 (-3y+5) helpppppppp
Answer:
D = 8y-15
Step-by-step explanation:
-y-9y-15 than combine -y and -9y
so = 8y-15
The expression 1/x+y
is equal to which quantities?
(1/x) + y
1/x + y
1/(x + y)
The equivalent form of the given expression is 1 /(x + y)
The given expression:
[tex]\frac{1}{x+y}[/tex]
To find:
the equivalent form of the expression:The equivalent form of the expression can be written as follows:
[tex]\frac{1}{x+y} = 1 /(x + y)[/tex]
For example, if x = 1 and y = 2, the inverse of the expression can be written as;
[tex]\frac{1}{x + y} = \frac{1}{(1 + 2)} = \frac{1}{3}[/tex]
Also, if x = 2 and y = 3, the inverse of the expression can be written as;
[tex]\frac{1}{x + y} = \frac{1}{(2 + 3)} = \frac{1}{5}[/tex]
Thus, the equivalent form of the given expression is 1 /(x + y)
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A housepainter buys 40 gallon-size cans of paint for $920. Some of these are blue paint that cost $30 per gallon and the rest are white paint that cost $20 per gallon. How many gallons of white paint does the painter buy?
Answer:
28
Step-by-step explanation:
x=blue
y=white
x+y=40
30x+20y=920
30(x+y=40) ; 30x+30y=1200___[1]
30x+20y=920 ; 30x+20y=920___[2]
[1]-[2] : 30x+30y-30x-20y=1200-920
10y=280
y=28
painter buys 28 white gallons
Graph the given function.
f(x)=(x-1)^3+2
Answer:
Sorry
Step-by-step explanation:
For my Poor H. And Coordinates
what is the value of the 2 in 3,261? the 3? the 1?
Answer:
The 2 is 200
The 3 is 3000
The 1 is 1
And if needed
The 6 is 60
Step-by-step explanation:
2 is in hundredths place
3 is in thousand place
6 is in tens place
1 is in ones place
hope this helps
order these numbers in ascending order. -11, 11.8 9.42 ,10
Answer:
-11,9.42,10,11.8
-11<9.42<10<11.8
Answer:
I think the answer is
-11, 9.24 ,10, 11.8
express 3x-x^2 as m-(x-n)^2. Ill give brainliest to correct answer!
(Also please see the picture since you might mistake x having a square as a 2x)
This is simply done by Method of Completing the Square.
3x - x²
Add and subtract half the coefficient of x and square it.
( This is done so there'd be no alterations to the quadractic Expression)
So To start
We'd like x² to be positive...(So factor out a negative).
–(x² - 3x )
Now In this case
You see there's a Negative Outside the the bracket
Instead of adding and Subtracting squared values of half the coefficient of X... We'd Add Twice and do not subtract.
Reason: If you add outside the bracket and subtract the other inside the bracket... This will be wrong because there's a negative patiently waiting outside the bracket to Interact with the negative you subtracted to make it Positive.
See what I mean.
Let's say you added 2² and subtracted 2² in this problem
2² – ( x² - 3x - 2²)
If you decide to open the bracket
You'll have
2² – x² + 3x + 2²
NOW THIS IS WRONG BECAUSE WE ALTERED THIS EXPRESSION. WHERE'D 2² + 2² COME FROM?
THIS IS WHY YOU'LL ADD THE SQUARED COEFFICIENT OF X TWICE IN CASES LIKE THESE.
SO GOING BACK TO THE ORIGINAL QUESTION.
– (x² - 3x )
Adding the half the coefficient of x twice and squaring them...
Coefficient of x = 3
Half of 3 = 3/2
Squaring it gives (3/2)²
NOW PROCEEDING
(3/2)² – [ x² - 3x + (3/2)²]
If you open this bracket... (3/2)² will cancel out with —(3/2)²
Meaning that we haven't altered the expression in any way
Moving On...
Applying basic factorizing principle
9/4 – ( x - 3/2)².
Answer = 9/4 – ( x - 3/2)² Which is in the Form m – ( x - n )²
Therefore m = 9/4 and n = 3/2.
Hope This Helps
what times we subtract the number 80 by 8
Answer:
Question unclear
Step-by-step explanation:Your probally asking what times 8 gives us 80. If you are than 10!
the midpoint of ab is m(-2,1). if the coordinates of a are (1,-2) what are the coordinates of b
Answer:
-5,4
Step-by-step explanation:
midpoint x is a 3 point difference. 3 points in the opposite direction is -5
midpoint y is also a 3 point difference. 3 points in the opposite direction of that is 4
so I believe the correct answer should be (-5,4)
I need to find all real values of x from this inequality x^2>2x-2 and also this question x^2>2x+2. I need the answer fast with working out pls
[tex]x^2\gt2x-2[/tex]
[tex]x^2-2x+2\gt0[/tex]
You are essentially asking at this point where is the quadratic function greater than 0. To get the interval find the roots. Between the roots the function is guaranteed to be LESS THAN zero. Everywhere else the function is greater than 0.
[tex]x^2-2x+2=0[/tex]
Use Vieta's rule to get the roots,
[tex](x-1)(x-1)=0[/tex]
Both roots are the same so no value is less than 0 which means all values except at the point of root are strictly greater, the point of root is at [tex]x_{1,2}=1[/tex] which means the set for which the quadratic function is greater than 0 is [tex]\mathbb{R}-\{1\}[/tex] "all real numbers except 1".
To convert this into interval notation use all numbers up to 1 but not including and all numbers after 1 but not including,
[tex](-\infty,1)\cup(1,\infty)[/tex]
Hope this helps :)
I need help solving this question please with an explanation.
Answer:
if he work 3 hours and earn 40.50
then the money he earn per hour is 40.50/3=13.5 ans
Simplify the following expression. 2p – 10 – 4p – 7
Answer:
the answer is-2p-3
hope is helpful
Answer:
2p – 10 – 4p –7
–2p –17
I hope I helped you^_^
5. Name the property of real numbers illustrated by the equation. (1 point)
Answer:
distributive property
17/3x + 17 - 2/3x - 15
After a grueling year of work, you (Padcha) decide you need absolute peace and quiet for about a month (February). You visit San Pedro de Atacama in the Atacama dessert of Chile, one of the most pristine and beautiful spots on earth. Every morning you have an espresso with a Swiss veterinarian, Dieter, that has retired there and maintains a small hotel and cafe. After week 2 of peace and quiet you become restless for a more meaningful existence.
In a conversation Dieter you learn that he also raises Llama's, Alpacas, and Vicuñas (all members of the Camel Family) for their wool. The conversation follow--
Dieter: "Padcha, I have this problem related to the nutrition of my animals. I know the nutritional content of the feeds I have available (see the Daily Nutritional Requirements for Animals table). I also know the cost of a kilogram of each feed (see table). I would love to have a way of selecting a mix of Corn, Tankage, and Alfalfa that minimizes my daily cost of providing good nutrition for my animals."
Padcha: "Dieter, I think I might be able to help. In LP optimization, there is a problem that is called the nutrition problem. Of course, it is not only about nutrition, it's also about allocating available resources, in an optimal way (minimal cost), to satisfy requirements. You can image, that there are a lot of problems like that in business. A typical constraint, say for carbohydrates, would read-- the number of kilos of Corn times 90, plus the number of kilos of Tankage times 20, plus the number of kilos of Alfalfa times 40 must equal a minimum 200 units of carbohydrates. The constraint shows how we use the resources/decision variables (kilos of Corn, etc.) to satisfy nutritional needs.
Daily Nutritional Requirements for Animals
Kg. Corn KG. Tankage Kg. Alfalfa Min. Daily Reqs.
Carbohydrates 90 20 40 200
Protein 30 80 60 180
Vitamins 10 20 60 150
$Cost of feed/Kg. 35 30 25
a) What is the LP for the nutrition problem?
b) Solve the problem using Solver. What is the value of the optimal solution? What is the number of kilos of Corn, Tankage, and Alfalfa? (Place the Answer Report below)
c) What if the requirements were raised by 1 unit for carbohydrates (from 200 to 201). Without re-solving the problem, what is the new optimal solution value and the units of carbohydrates? (Provide the logic for your answer.)
d) What is the allowable range of values for the coefficient of the Tankage in the objective function, for which a change of the optimal decision variables will not occur?
Answer:YA IM THAT KIND OF GUY I NEED POINTS
Step-by-step explanation:
YA IM THAT KIND OF GUY I NEED POINTS
Classify the following polynomials. Combine like terms first. PLEASE ANSWER I'm really confused. :(
2x-x2+4x+x2
x3-5x2+3-2
x3-x3+x2-x2+3
7x-x2+x3+4x2
-6x-x3+6x-4x
Quadratic monomial
Quadratic binomial
Quadratic trinomial
Cubic monomial
Cubic binomial
Cubic trinomial
Linear monomial
Constant monomial
5−33−32+39+3
Not sure?
There are 25 students' names in a hat. You choose 5 names. Three are
boys' names and two are girls' names. How many of the 25 names would
you expect to be boys' names?
Show all of your work do in 10 minutes
Answer:
15
Step-by-step explanation:
You have to calculate the boys name using ratio expression.
3/5 × 25
= 15
How do I solve this
Answer:
i dont know
Step-by-step explanation:
(4,2),(-6-6) what’s the answer
Answer:
what are we finding
Are we to derive an equation of a straight line
Find the perimeter and area of a rectangle of cardboard measuring 11.3 cm by 14.8 cm.
Area of rectangle = Length * Width
Length = 11.3 cmWidth = 14.8 cmArea = 11.3 cm * 14.8 cm
Area = 167.24
PerimeterPerimeter of rectangle = 2 (L + W)
Length = 11.3 cmWidth = 14.8 cmPerimeter = 2 (11.3 cm + 14.8 cm)
Perimeter = 2 (26.1 cm)
Perimeter = 52.2 cm²
Final AnswerArea of rectangle is 167.24 cm²
Perimeter of rectangle is 52.2 cm²
help for 15 points . ill up it
Step-by-step explanation:
Let [tex]P_1(-1, -8)\:\text{and}\:P_2(-4, -9)[/tex]
The slope of the line through these two points is
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-9 + 8)}{(-4 + 1)} = \dfrac{1}{3}[/tex]
So the slope-intercept form of the line passing through the two points is
[tex]y = mx + b = \frac{1}{3}x + b[/tex]
To find b, we use either point into our equation. Let's use (-1, -8):
[tex]-8 = \frac{1}{3}(-1) + b \Rightarrow b = -\dfrac{23}{3}[/tex]
Therefore, the slope-intercept form of the equation for the line is
[tex]y = \dfrac{1}{3}x - \dfrac{23}{3}[/tex]
The standard form of the equation can be written as
[tex]x + 3y + 23 = 0[/tex]
Find the median of the following set of data: 52,84,94,102,94,89,73
Answer:
Step-by-step explanation:
the median is 89, the mode is 94, and the mean is 84
3. Consider the multiplication operations below and choose whether the fosuit com
be rational, Inational, or both.
Irrational
Expressions
Rational
8. VE
О
tvo. V
V3.12
о
Answer:
1st expression= rational 2nd expression= rational 3rd expression = irrational
Step-by-step explanation:
The first and second expressions are rational because they both equal whole numbers (4 and 3) while the last expression equals a decimal that goes on forever with no end, thus making it irrational.
can anyone help me out with this one?
A board of wood measures 58 inches thick. If you stack the boards 6212 inches high, how many boards are in the stack
Answer:
107 full and .103 of another
Step-by-step explanation:
6212/58 =
A waiter receives tips from each customer. On average, the tip is 15% of the customer’s bill. At this rate, which of the following is closest to the tip the waiter can expect when a customer has a bill that is $78.20?
A) $8.00
B) $10.00
C) $12.00
D) $14.00
(Pls add in the step-by-step explanation)
Answer:
C) $12.00
Step-by-step explanation:
Take the price of the bill
78.20
Find 10 %
78.20 * .1
7.82
Take half ( which is 5%)
3.91
Add the two amounts together
7.82+3.91
11.73
Rounding to the nearest dollar
12.00
OR
Round the bill to 80.00
Take 15%
80 * .15
12.00
Convert the following decimals into fraction . Do not reduce the fractions
0.25 =
Answer:
25/100
Step-by-step explanation:
0.25=25/100
Hope this helps! Thanks.
7 thousands 8hundredsx10
Answer:
78,000
Step-by-step explanation:
In a class there are 27 students. If there are 7 more girls than boys in the class how many students are girls?
Answer:
10boys, 17 girls
Step-by-step explanation:
10+17=27,
17-10=7
Answer: there are 17 girls in the class
Step-by-step explanation:
let the number of boys be x
and the number of girls be re[presented as 7+x
Since there are a class of 27 containing the sum of the boys and girls, we have our equation as
boys +girls =27
x+ 7+x=27
7+2x =27
2x=27-7
2x=20
x=20/2=10
Boys =x=10
girls= 7+x=7+10=17
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