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

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.

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

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

Find the perimeter of the composite figure

Answers

Answer: 172.3ft

Step-by-step explanation:

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

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

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]

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.

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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]

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

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.

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

help ASAP ! it’s due soon

Answers

option

(c) is correct

Step-by-step explanation:

jsjsjd

your answer would be C

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:

(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

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.

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.

help
dhgdfdfyfyfgfgfjfgfghfhgfdhgdfh

Answers

For the answers
1=26
2=17

Answer:

5=26

14=17

n=1

31n=31*1=31

which inequality is shown in the graph

Answers

Answer:

Less than.

Step-by-step explanation:

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

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

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

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.

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

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

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

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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

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.

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

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:

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

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