Mathematics Middle School

What is the connection between linear systems and linear functions?

Explain.

Answers

Answer 1

Answer: While all linear equations produce straight lines when graphed, not all linear equations produce linear functions. In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).

Step-by-step explanation: Hope this helps :)

Answer 2
A linear function of one variable is one whose graph is a straight line. In general, a linear function can be a function of one or more variables. Each term in a linear function is a polynomial of degree one in one of the variables, or a constant. So ()=3+2
f
(
x
)
=
3
x
+
2
is a linear function.

A linear equation has an equals sign, with linear functions on both sides. You can always move everything to one side of the equation, so solving a linear equation is essentially finding the zero of some linear function. 3+2=0
3
x
+
2
=
0
is a linear equation. A little algebra yields =−23.
x
=
−
2
3
.


It does get murky because the notation is overloaded. Consider =3+2.
y
=
3
x
+
2.
We normally think of that as a function of a single variable
x
, pretty much just an abbreviation for ()=3+2
f
(
x
)
=
3
x
+
2
. But it’s also a linear equation in two variables
x
and .
y
.
That equation’s solutions are the zeros of the linear function of two variables (,)=3−+2
g
(
x
,
y
)
=
3
x
−
y
+
2
.

Related Questions

1/2 x (48 divided by 6) - 2 + 5

Answers

Answer:

7

Step-by-step explanation:

1/2(48/6) - 2 + 5

1/2(8) - 2 + 5

4 - 2 + 5

2 + 5

7

Answer:

1

--------

16x + 3

Step-by-step explanation:

1

--------

2x(48/6) - 2 + 5

1

------

2 x 48/6 - 2 + 5

1

------

2 x 48/6x + 3

    1

= --------

 16x + 3

Please help I will mark brainliest I'm really in need now
(Please explain)

Answers

Answer:

y = -90x + 2000

Step-by-step explanation:

Hello There!

So we need to write an equation of the line in slope-intercept form

y = mx + b

where m = slope and b = y intercept

They give us everything in the caption

They say that a hot air balloon descends from 2000 feet at a constant rate of 90 feet per minute

Descends from 2000 feet indicates that the hot air balloon starts at 2000 feet

Thus this is the y intercept

Descends indicates that the slope is going to be negative because descend means to go down

The hot air balloon descends at a constant rate of 90 feet per minute

Thus meaning that the slope is -90

Now that we have everything we add it all together and get that the equation is

y = -90x + 2000

hope this helps :)

Answer:

y = -90x + 2000

Step-by-step explanation:

in y = mx+b, m is the slope and b is the y intercept

Therefore the y intercept is 2000

Now we have y = mx + 2000

Because the balloon descends at 90 ft/min, the m value is -90

So the answer is y = -90x + 2000

help me someone pls plss

Answers

i think it would be just a constant diagonal line like this /
im pretty sure its just a constant diagonal line like /

Write the equation of the line in slope-intercept form using y=mx+b​

Answers

It is y=3x+0 or y=3x
the other person that answered, got it right

What is the greatest common factor of 27 and 46?

Answers

Answer:

1 :)

You cannot divide them by each other, so therefore it is one!

The answer would be 1 LOL

Percentages! Just complete the sentance

Answers

Answer:

38%

Step-by-step explanation:

Please help answer either both or one question please! Best answer will get brainliest :)

Answers

Answer:

The answer is C I have the same assignment

Step-by-step explanation:

The answer you’re looking for it I C

The distance between Station A and Station B is 4.8 miles. The distance between Station B and Station C is 16 miles. A train takes 4 minutes to travel from Station A to Station B and another 12 minutes to travel from Station B to Station C. Find the average speed of the train for the whole journey from Station A to Station C in miles per hour.

Answers

Answer:

16 minutes to travel from A to C

Step-by-step explanation:

Ed wants to buy a large bag of dog food for $41.00. If sales tax is 7%, how much tax will he have to pay.

Answers

Answer:

The answer is 43.87

Step-by-step explanation:

The tax would be $2.87 for a total amount of $43.87

I have a question if Jimmy has 3 apples and is friend ate 12 apples off a tree and jimmy eats one and then his friend (Sihera) picks 12 new apples and gives two to jimmy nd eats 4 of them how many apples does jimmy and Sihera have?

I made this question :D

Answers

13?

Step-by-step explanation:

Please help me it will be useful ps i might be heald back

Answers

Answer:

it's 3

Step-by-step explanation:

because 3x7=21.

hope this helps

Answer:

3 bc 21/3=7 have a good day

In Cleo’s class, the number of girls is 3 times the number of boys. There are a total of 28 students in the class. How many boys and girls are in Cleo’s class? Let x = girls and y = boys. Solve the system and write your answer in the form (x,y), using no spaces. If your answer is a fraction, write your answer in decimal form.

Answers

Answer: x + y = 28 and 3x + x = 28

Explanation: x + y = 28 is a pretty straightforward equation stating that the sum of x (number of boys) + the sum of y (number of girls) = 28 total students

3x + x = 28, because the amount of girls is three times the number of boys, I wrote the number of boys (x) multiplied by 3 to represent the population of girls and added an additional x to represent the number of boys

Upon further simplification you will get 4x = 28, which can be divided by 4 on both sides to solve for x, or the number of boys. 28/4 = 7, therefore x = 7.

Next, you plug x back into the original equation to get 7 + y = 28. For the final step, subtract 7 from both sides of the equation which will give you y = 21

The class has 7 boys and 21 girls, for a total population of 28 students.

The solution is : The class has 7 boys and 21 girls, for a total population of 28 students.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

x + y = 28 and 3x + x = 28

Explanation:

x + y = 28 is a pretty straightforward equation stating that the sum of x (number of boys) + the sum of y (number of girls) = 28 total students

3x + x = 28, because the amount of girls is three times the number of boys, I wrote the number of boys (x) multiplied by 3 to represent the population of girls and added an additional x to represent the number of boys

Upon further simplification you will get 4x = 28, which can be divided by 4 on both sides to solve for x, or the number of boys. 28/4 = 7, therefore x = 7.

Next, you plug x back into the original equation to get 7 + y = 28.

For the final step, subtract 7 from both sides of the equation which will give you y = 21

The class has 7 boys and 21 girls, for a total population of 28 students.

To learn more on equation click:

brainly.com/question/24169758

#SPJ3

hey, can someone help??? I don't have much time left.

Answers

Answer:

Add it all together

Step-by-step explanation:

Answer is 26.50 square units
Explanation:
Since the information given to you was areas all you needed to do was add those numbers up: 7.95+9.8+8.75

Write a word problem that could be solved by the equation given in problem 2.

The equation : 1/5p = 4

Answers

Answer:

2+2+2=21

Step-by-step explanation:

Answer p=20

Multiply both sides of the equation by

5 x 1/5 p= 5 x4

Reduce the numbers with the greatest common factor

This last part might seem hard so here a picture

PLS PLS PLS HELP I WILL MARK BRAINLIEST TO THE FIRST PERSON TO ANSWER !!!!!!!

Answers

Answer:

7.   30%

8.   70%

Step-by-step explanation:

not sure if its correct too

Think About the Process The scale for the drawing of a rectangular
playing field is 2 inches = 7 feet. Find an equation you can use to find the
dimensions of the actual field. What are the actual dimensions?

Answers

Answer:

The actual dimensions of the field are 28ft x 14ft. I dont know how I am supposed to mak an equation though.

Step-by-step explanation:

Hoped this somewhat helped.

Find the solution set to this inequality

Answers

Answer:

x>1/2

Step-by-step explanation:

2x - 3 > (2x - 5)/2                   Multiply by 2 on both sides

2(2x - 3)> (2x - 5)                   Remove the brackets

4x - 6 > 2x - 5                        Subtract 2x from both sides                

4x - 2x - 6> 2x-2x - 5            Combine

2x - 6 >  - 5                            Add 6 to both sides

2x - 6+6 > -5 + 6

2x > 1                                     Divide by 2

z > 1/2

Answer:

x > 1/2

Step-by-step explanation:

1. multiply both sides by 2 (because of the fraction)

2x-3(*2)>2x-5/2(*2)

4x−6>2x−5

2. solve for x

4x-6>2x-5

4x-2x>-5+6

2x>1

3. divide

2x>1

2x/2>1/2

x>1/2

and thats your answer, x>1/2!

can you help me pl7s

Answers

Answer:

11) B

12) B

Step-by-step explanation:

Answer:

11) B

12) B

Step-by-step explanation:

Mark Branliest
what is the area of a 10 in sqare
Plz Help

Answers

Answer:

100 square feet

Step-by-step explanation:

PLS HELP!
What is the value of x in the figure?


Enter your answer in the box.

x =

Answers

90 + (61 + x) = 180
x + 151 = 180
180 - 151 = 29
x = 29
I believe

The cost of cheese varies directly with the number of pounds bought suppose 3 pounds cost 8.40

Write an equation relating the weight and the cost of the cheese

What is the constant of variation

Find the cost of three pounds of cheese

Answers

Answer:

1 pound of cheese is $2.80

Step-by-step explanation:

8.40 divided by 3 is 2.80

plz make me brainliest

:)

Find the mean and the MAD.
[Note: Type your answers as decimal numbers, rounded to the nearest tenth.]

135, 160, 145, 155, 170, 150, 142

Mean:

MAD:

Answers

Mean is 151 because you add all numbers and divide by how many numbers their is

Answer:

151

Step-by-step explanation:

Rayla and her friends were carving their pumpkins for Halloween. They noticed that there was a proportional relationship between the number of seeds in their pumpkins and the weight of their pumpkins. This relationship is represented by the equation y=20x, where x is the weight of the pumpkin in pounds and y is the number of seeds. How much will a pumpkin weigh that has 250 seeds inside? Show your work or explain your process in the box below!

Answers

answer

12.5

y=250 seeds

12.5 * 20 = 250.

could i get brainiest?

A company shipped 15,377 boxes of apples and 12,980 boxes of oranges. How many more boxes of apples than oranges did the company ship? The company shipped more boxes of apples than oranges.
please help

Answers

Answer: 2397

Step-by-step explanation: just subtract

You have to subtract 15377-12980=2397
There is 2397 more boxes of apples than oranges

hihi i need help on this i will give brainliest!!

Answers

1.82*10^-10 for atom of aluminum

71,490,000 Standard Notation for Jupiter

!!!!!(Help me please I will give brainliest)!!!!!

Put the fraction in its simplest form plz

Answers

I’ve attached my work below
Hope it helps!!

Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:

Answers

Step-by-step explanation:

2x+3x+3x=180

8x=180

x=45/2

The correct answer is 45/2

Rewrite the numerical expression 102 ÷ 42 + 22 − 2 + 3 with parentheses to make this statement true. 102 ÷ 42 +22 − 2+ 3 =6 . Show Work. giving brainlist

Answers

102 divided by 17 = 6 so the numbers have to come out to 17. I'm sorry I dont have the correct answer I just have part of it

Step-by-step explanation:

WILL GIVE BRAINLEST PLS HELP

Answers

79200 feet in 15 miles

3600 seconds in hour

Answer:

79200 feet in 15 miles

3600 seconds in hour

22

Step-by-step explanation:

brainliest please, just tryna rank up

can eney one please help hurry 20pts
A triangular prism. The triangular bases have a base of 5 meters and height of 8 meters. The prism has a height of 9 meters. The volume is 180 meters squared. A triangular pyramid. The pyramid has a base with a base of 5 meters and height of 8 meters. The height of the pyramid is 9 meters. The volume is 60 meters squared. Compare the volume of each shape. Then complete the statement. The volume of the pyramid is the volume of the prism.

Answers

Answer:

I am so sorry but, I do not think your question makes sense...

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

i got it right on edge 2021

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