What does it mean for an ordered pair (x,y) to be a solution to a system of equations?

Answers

Answer 1

Answer:

For an ordered pair to be a solution to a system of equations, the values for x and y must agree with every equation in the system. For example, if you have two linear equations so that their lines intersect, then there is exactly one solution (x, y) such that both equations are true statements when both x and y are entered into both equations. Therefore, those two coordinates (x, y) are the only solution to that system.

In other systems, such as quadratic systems containing two equations with two second-degree variables, x^2 and y^2, you can have up to four solutions (x, y) since the graphs of these equations may intersect in up to four points. Again, it means that the coordinates to each of these points agree with all equations in the system.

Step-by-step explanation:


Related Questions

A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for Pi and round to the nearest whole number.) A circle inside of a square with side lengths of 12 inches. The circle has a diameter of 12 inches.

Answers

Answer:

the answer is 30.96

Step-by-step explanation:

multiply 3.14 times 6×6-12×12

Express 1800 ml as percentage of 2.1 L

Answers

Answer:

1400 ml is 66.67% of 2.1 L

To express one number as a percentage of another, form a fraction using these two numbers and multiply it by 100. Note that the number that is being expressed as a percentage is placed in the numerator of the fraction.

Help Please question in the picture

Answers

Answer:

Option (1)

Step-by-step explanation:

Given figure in the picture has two parallel sides and fulfilling the property of a trapezium.

Since, an isosceles trapezium contains two parallel sides and other pair of the sides are equal in length.

Therefore, the given trapezium can't be an isosceles trapezium.

Option (1) will be the correct option.

help ASAP ! it’s due soon

Answers

option

(c) is correct

Step-by-step explanation:

jsjsjd

your answer would be C

If f(x) = 5x² – 2x + 7 and g(x) = -2x2 +6x + 3
then f (x)-g(x) =

Answers

Answer:

7x² - 8x + 4

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

(HELP ASAP NO LINKS OR YOU WILL BE REPORTED)
Which expressions can be used to calculate the volume of the rectangular prism?

Answers

Answer:

no clue.com

Step-by-step explanation:

i have no idea.com

Ayuda,help,ayuda,help

Answers

Answer:

14/3

Step-by-step explanation:

Set up two ratios and cross multiply. Solve for missing segment.

[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{7}[/tex]

3x = 14

x = 14/3

Can someone help me? It's urgent and thank you!

Answers

Answer:

option A

Step-by-step explanation:

[tex]\frac{x+ 3}{12x} \ \cdot \ \frac{4x}{x^2 +x - 6}\\\\= \frac{x+ 3}{12x} \ \cdot\ \frac{4x}{x^2 +3x - 2x - 6}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{x(x + 3) -2(x+3)}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{(x + 3)(x -2)}\\\\= \frac{1}{12x} \ \cdot \ \frac{4x}{(x - 2)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\\\= \frac{1}{3} \ \cdot \ \frac{1}{(x - 2)}\\\\= \frac{1}{3(x - 2) }[/tex]

I don't understand please help​

Answers

Step-by-step explanation:

Objective: Solving Piecewise Functions

Analyze the info in the graph.

We know that if x=1, the graph will coincide at 5.

If x is greater than 1, the answer will be x squared it answer so any positve interger greater than 1 the answer is that squared.

If x is less than 1, the answer will be double that x.

Let check the answer choices.

A is wrong because x is less than 1 so the answer should be 2(-2)=-4 not 4.

C is Wrong, since 5 is greater than 1, it must be 25 so 5^2=25

D and B are both right, 2 is greater than 1 so 2 squared =4 and Whenever x=1, it will equal 5.

Find the perimeter of the composite figure

Answers

Answer: 172.3ft

Step-by-step explanation:

pls help pls show how you got the answer

Answers

Answer:

L ACB = 25 ( L at centre = 2× L at circumference)

prove

sum = 75

centre = 50

then L AOB +ACB = 75

50 + L ACB =75

L ACB = 75 - 50

then L ACB= 25

para realizar una minga en una escuela sehan reunido 750 personas .en la organizacion de las actividades se solicito a 1/15 de total para limpiar los patios y jardines a 2/25 del total arreglar bancas y al rwsto de las peronas se les pidio limpiar las pertas y ventanas de toda la institucion
¿cuantas personas limpiam los patios y jardines ?
¿cuantas personas pintan las paredes ?
¿cuantas personas arreglan las bancas ?
¿cuantas personas limpiam las puertas y ventanas ?
pliss ayuda espara manaña hasta las 5 am :")

Answers

The answer is “YBN Because I don’t know Spanish and I need points thx luv y’a

Mrs. Law’s seventh grade class volunteers for two days at an animal shelter. Each day, 30% of students will be assigned to help groom animals, 50% will be assigned to walk animals, and 20% will be assigned to clean the kennels. Michaela designs a simulation to determine how likely it is that she will be assigned to walk animals both days. She assigns digits as follows:• 0, 1, 2 5 Grooming• 3, 4, 5, 6, 7 5 Walking• 8, 9 5 Cleaning Then she generates the following sets of random numbers for her simulation. 2, 9 5, 2 3, 9 0, 1 8, 3 0, 5 0, 5 8, 3 6, 8 4, 7 7, 4 1, 5 Based on the results of the simulation, what is the probability that Michaela will walk animals on: a. both days? b. one day only? c. at least one day?

Answers

Michaela will walk the dogs B only 1 day only

Based on the results of the simulation, the probability that Michaela will walk animals on:

a. both days = 1/6

b. one day only = 2/3

c. at least one day = 5/6

What is probability?

Probability is simply how likely something is to happen.

Grooming = 0, 1, 2

Walking = 3, 4, 5, 6, 7

Cleaning = 8, 9

Based on the data generated in simulation, categorizing it into "Michael will walk animals zero days/ one day only/ both days based on the digit categorization given above.

(2,9) - zero days

(5,2) - one day

(3,9) - one day

(0,1) - zero days

(8,3) -one day

(0,5) - one day

(8,3) - one day

(6,8) - one day

(4,7) - two days

(7,4) - two days

(1,5) - one day

Probability that Michaela will walk animals both days = [tex]\frac{2}{12} = \frac{1}{6}[/tex]

Probability that Michaela will walk animals one day only = [tex]\frac{8}{12} = \frac{2}{3}[/tex]

Probability that Michaela will walk animals at least one day = Probability that Michaela will walk animals one day only + Probability that Michaela will walk animals two days only  = [tex]\frac{8}{12}+ \frac{2}{12} = \frac{10}{12} = \frac{5}{6}[/tex]

Learn more about probability here

https://brainly.com/question/11234923

#SPJ2

At what rate, in minutes per lap, does this swimmer swim?

Answers

Answer:

1.6

Step-by-step explanation:

all u gotta do is divide 6.4 by 4:)

hope that helps!<3

A=1/2 h(x+y) make x the subject

Answers

Answer:

Step-by-step explanation:

A =1/2 *h (x+y)

A =hx+hy/2

A*2 =hx+hy

2A =hx+hy

2A - hy = hx

(2A -hy)/h = x

Answer:

x = [tex]\frac{2A-hy}{h}[/tex]

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex] h(x + y) ← multiply both sides by 2 to clear the fraction

2A = h(x + y) ← distribute

2A = hx + hy ( subtract hy from both sides )

2A - hy = hx ( divide both sides by h )

[tex]\frac{2A-hy}{h}[/tex] = x

There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun one time, what is the probability that the result is a multiple of 3 and a multiple of 4?

Answers

Answer:

1/12

Step-by-step explanation:

multiple of 3 and a multiple of 4 implies it can only be 12.

Since you only have the numbers from 1 to 12,

the prob(the 12) = 1/12

I need help lol answers
A: 1 student
B: 6 students
C: 9 students
D: 16 students

Answers

Answer:

C

Step-by-step explanation:

16 - 7 = 9

HELPP!
A: Line a
B: Line b
C: Line c
D: None of the lines fit the data well

Answers

Answer:

B: Line b is the correct answer

A rectangular prism has a length of 10m, a height of 2m, and a width of 5m. What is its volume, in cubic m?

Answers

Volume = lwh
10•2•5
20•5
100

The volume of a given rectangular prism is 100 cubic meter.

What is a rectangular prism?

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.

We know that, a rectangular prism has a length of 10 m, a height of 2 m, and a width of 5 m.

Here, volume = 10×5×2

= 100 cubic meter

Therefore, the volume of a given rectangular prism is 100 cubic meter.

To learn more about the rectangular prism visit:

https://brainly.com/question/27812749.

#SPJ2

which inequality is shown in the graph

Answers

Answer:

Less than.

Step-by-step explanation:

WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing

Answers

Answer:

A. [tex]2x^2y\sqrt[3]{7xy^2}[/tex]

Step-by-step explanation:

When given the following problem,

[tex]\sqrt[3]{56x^7y^5}[/tex]

The problem asks one to find the cube root of the value under the radical. The cube root of a number is essentially a value that must be multiplied by itself three times to get the result under the radical. An easy way to do this is to prime factorize the value under the radical sign. This will allow one to see the components of the number, thus making it easier to take value out of the radical;

[tex]=\sqrt[3]{7*2^3x^7y^5}[/tex]

Now divide each of the exponents by (3), write the whole result outside the radical, and the remainder under the radical,

[tex]=2x^2y\sqrt[3]{7xy^2}[/tex]

Which type of survey does this example represent?

Mariah wants to know how many hours of sleep the population of her K-8 school gets on an average night. She sends an email to every single student email account asking them to fill out a quick survey. After 5 days, she collects the data and calculates the mean.


A. Random Sample

B. Cluster Sample

C. Convenience Sample

D. Voluntary Response Sample

Answers

It is d my good sir

m
Give one reason why banks charge people banking fees.

Answers

Answer:

banks change people fees to make a profit off of them other wise they would be giving away free money.

Step-by-step explanation:

hope this helps and what you were asking for.

someone please help answer this and explain what this is and how to solve this?

Answers

Answer:

easy it is 100 trust me

Step-by-step explanation:

Find the solutions to x2 = 20.
O A. X = +52
O B. x = +2/10
OC. x = +2.5
O D. x = +10.12

Answers

Answer:

x=±2√5

Step-by-step explanation:

x²=20

x²=4×5

x²=(2√5)²

therefore,x= ±2√5

Adwoa received a commission of 20% on bread she sold. In one week, Adwoa's commission was Gh¢540. How much bread did she sell during that week. And find her average daily commission.

Answers

Answer:

a). 2700

b). 385.7

Step-by-step explanation:

According to the Question,

Given that, Adwoa received a commission of 20% on the bread she sold. In one week, Adwoa's commission was 540.

let x be the total cost of bread she sells during the week.

a). Thus, 20% of x = 540

x = 540 × (100/20)  ⇒ 2700 is the total cost of bread she sells during the week.

b). Now, her average daily commission is 2700/7 ⇒ 385.7

two sides of a parallelogram are 6.5 feet and 4.2 feet the measure of the angle between the sides 150° find the area of the parallelogram to the nearest 10th of a square foot

Answers

Yes that is correct both sides are right congratulations

Answer:

13.7

Step-by-step explanation:

-----------------------------

help
dhgdfdfyfyfgfgfjfgfghfhgfdhgdfh

Answers

For the answers
1=26
2=17

Answer:

5=26

14=17

n=1

31n=31*1=31

The picture is above I’ll mark as brainliest.

Answers

Answer:

?=5

Step-by-step explanation:

So let's do 16-6 (3*2)

10/2=5

Answer: ?=5

Step-by-step explanation:

In a rectangle the opposite sides are congruent (same length).

So we have ?+?+3+3=16

Let's use a variable for ?

x+x+3+3=16

Since there are 2 of the variable x we can write it as 2x since 2 of something means it's doubled. We can also combine 3 and 3.

2x+6=16

Let's subtract 6 from both sides.

[tex]2x+6-6=16-6\\2x=10[/tex]

Now let's divide both sides by 2 to find the value of x (which is ?)

[tex]\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]

The value of x/? is 5.

The graphs of four quadratic equations are shown. Identify the number of real solutions of each equation by
dragging descriptions to each graph.

Answers

Answer:

1. 2 real solutions

2. no real solutions

3. 2 real solutions

4. 1 real solution

Step-by-step explanation:

The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.

Other Questions
Yolanda makes wooden boxes for a craft fair. She makes 250 boxes as the one shown, and she wants to paint all the outside faces. 6 in.4 in.2 in. Find the surface area of one box. The surface area is square inches. Researchers at a medical school conducted a study to test the effectiveness of a new drug for lowering cholesterol. The 52 subjects who volunteered for the study were each given a randomly generated number. Subjects with an odd number were given the new drug, while those with an even number were given a placebo. Cholesterol levels before and after the treatment were measured for each subject, and the differences were computed.This study is an example of ______________ study. The difference in cholesterol level is _____________ the variable. The treatment with drug or placebo is the ____________ variable. An object dropped from a height of 500 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t)=50016t^2. Express t as a function of height h, and find the time to reach a height of 100 feet advantages of being sessile in invertebrate 50 points and brainliest: What features set memoirs apart from autobiographies and personal essays? los derechos sexuales son iguales a los reproductivos? porfa help Solve for b. b= V [?] 12 5 b Pythagorean Theorem: a2 + b2 = c2 Enter (6a + 6) + (3x - 2) + (2a + 4) Mary plays football,______?is she?doesn't she?don't she?You can't tell the difference,_____?can't youdo you?can you? In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 80 more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180 to find the measure of each angle. what is the measure of the first angle? Select which of the following is correct:A. I need five things from you success, caring, respect, trust and communication.B. I need five things from you: success, caring, respect, trust and communication.C. I need five things from you, success, caring, respect, trust and communication.D. I need five things from you; success, caring, respect, trust and communication. Which strategy is used by the public health to reduce the incidence of measles Identify the percent of increase from 24 to 144. (round to the nearest tenth of a percent) A student is reading a document about how to write a college application essay. Which question would be mostpertinent to ask while reading this procedural text to understand the task?O What additional elements should be included in a college application?What should students focus on while reading the prompt for the essay?O What are the most fun topics to write about for a college application essay?What percentage of high school students are accepted by colleges each year? g Two linked genes, (A) and (B), are separated by 18 centiMorgans. A man with genotype Aa Bb marries a woman who is aa bb. The man's father was AA BB. What is the probability that their first child will both be ab/ab 3-2i/1+4i include each step necessary in simplifying which of these inventors most directly contributed to changing the way people function during the evening Which accurately describes one way that coastal mountains affect a regions climate? which of the following did the united states build for central america.1 Panama canal2 Yucatan peninsula 3 Gulf of Mexico Which sentence in the passage containsa demonstrative pronoun?A. Whose idea was that?CCOB. I went with my cousin, whom we all like.C. Everybody was very tired near the end of the trip.D. This was my first choice for a vacation.e