The equation 2x - 4y - 8 models the relationship between x and y. What is the rate of change of y with respect tox?

Answers

Answer 1

Answer:

1/2

Step-by-step explanation:

Given the equation 2x-4y = 8 models the relationship between x and y

The rate of change of y with respect to x is known as the slope of the line.

The standard form of equation of a line is y = mx+c where;

m is the slope

c is the intercept

Rewrite the equation in its standard form as shown:

2x-4y = 8

-4y = -2x+8

-4y/-4 = -2x/-4 + 8/-4

y = 1/2 x -2

On comparison, the slope m is 1/2

Hence the rate of change of y with respect to x is 1/2


Related Questions

Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
posts

Answers

Answer:

22

Step-by-step explanation:

The side of the rectangle that is 20 feet divide it by 5

[tex]\dfrac{20}{5}=4[/tex]

Now we add one to this as the fence post each required in each 5 feet section.

The same is the case for the opposite side.

So, the number of fence posts for the 20 feet sides is [tex]5+5=10[/tex]

Now for the 35 feet side

[tex]\dfrac{35}{5}=7[/tex]

Remove 1 fence post from the ends as that fence post will be covered by the ones on the 20 feet side.

So, new posts on the 35 ft side is 6.

So, the number of fence posts for the 20 feet sides is [tex]6+6=12[/tex]

Total number of posts is [tex]10+12=22[/tex]

PLEASE HELP!! i will mark brainliest!!

Answers

Its the distance formula so it would be square root of [(15+3)^2+(-7-17)^2]=30

Triangle QRS has vertices at Q(3,6), R(2, 3), and S(3,-2). If the triangle is dilated by a scale factor of į, what will be the coordinates of
R'?

Answers

Answer:

C

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of the point by the scale factor, that is

R(- 2, 3 ) → R'([tex]\frac{1}{3}[/tex](- 2), [tex]\frac{1}{3}[/tex](3) ) → R'( - [tex]\frac{2}{3}[/tex], 1 ) → C

which is more , 1 gallon or 7 pints ,

a. 1 gallon
b. 7 pints
c. nethier ; they are equal

Answers

Answer:A

Step-by-step explanation: 1 Gallon is equal to 8 pints.

Answer:

A

Step-by-step explanation:

pint=1/8 of a gallon

therfor 7 pints = 7/8

7/8<1gal

Bob's Gift Shop sold 250 cards for Mother's Day. One salesman, Kylie, sold 2% of the cards sold for Mother's Day. How many cards did Kylie sell?

Answers

Kyle sold five cards in total.

For the function, f(x) = x - 2, find x if f(x) = -1.

Answers

f(x)=x-2=-1
-1=x-2
+2 +2
-1=x

Please help me answer this question 17

Answers

Answer:

∠AEC = 139°

Step-by-step explanation:

EC bisects ∠BED. This means that the line EC cuts the angle in half, so        ∠BEC = 4x + 1

The quadrilateral shown is a rhombus. What is m∠4?

A) 28°
B) 32°
C) 58°
D) 90°

Answers

I think it would be 28

In a rhombus, both pairs of opposite angles are congruent

so m<4=32 degrees

so your answer is 32 DEGREES

Find the distance between the two points rounding to the nearest tenth (if necessary). (8,-9) and (2,-7)

Answers

Answer: 6.32 units

Step-by-step explanation: You count the distance and get 6.32 units.

Look at the table


What is the ratio of cows to horses?

pwease help me ​

Answers

Answer:

5:8 is the ratio of cows to horses.

What do I put in those blank spaces? Been doing this for hours

Answers

Answer: okay so this is what I think is the answer I used a calculate so

Step-by-step explanation:

$12.05

$24.08

$36.12

$48.16

$60.20

Step-by-step explanation:

1 hour        2 hours         3 hours        4 hours          5 hours  

$12.04       $24.08          $36.12         $48.16            $60.20

A child needs to take 1/2 tablespoons of medicine per day in 4 equal doses. How much medicine is in each dose?
PLEASE HELP​

Answers

Answer:

1/8 tablespoons

Step-by-step explanation:

Since the child needs to take 1/2 tablespoons off medicine per day in 4 equal doses, you will divide the 1/2 tablespoons into 4 equal doses, so you need to divide by 4.

You can do this by multiplying 1/2 by 1/4.

[tex]\frac{1}{2} * \frac{1}{4} = \frac{1}{8}[/tex]

Answer:

it would be 1/8

Step-by-step explantion:

simply divide

1/2÷4

=1/8

(that should be right)

You can make groups of 3, 4, or 9 pencils with none left over. What is smallest number of pencils you must have to make these groups?

Answers

Answer:

=36

Step-by-step explanation:

Step-by-step explanation:

for this we has to take the LCM of 3,4 and 9 to find the least common factor in between these three numbers.....

so we have to multiply 3×3×4

=36

so if we divide 36 by 3 ,4 OR 9

we will not find any remainder

What is the answer to this????

Answers

Answer:8

Step-by-step explanation:

Answer:

8 rows of art

Step-by-step explanation:

Suppose Sine (x) = negative three-fifths and cos(x) < 0. What the value of cos(2x)?

Answers

Answer:

[tex]-\frac{7}{25}[/tex]

Step-by-step explanation:

Value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

What is trigonometric ratio?

" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."

Identity used

[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]

According to the question,

Given value of trigonometric ratio,

[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]

Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,

[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]

Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex]  the trigonometric identity ,

[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]

Hence ,  value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

Learn more about trigonometric ratio here

https://brainly.com/question/1201366

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Solve the following system of equations. y + 5x = 30 2y = 5x + 15

Answers

Answer: Solve   2y-5x-30  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2y-5x-30  = 0 and calculate its properties

Step-by-step explanation:

Answer:

x = 3, y = 15

Step-by-step explanation:

Given the 2 equations

y + 5x = 30 → (1)

2y = 5x + 15 → (2)

Subtract 5x from both sides in (1)

y = 30 - 5x → (3)

Substitute y = 30 - 5x into (2)

2(30 - 5x) = 5x + 15 ← distribute left side

60 - 10x = 5x + 15 ( subtract 5x from both sides )

60 - 15x = 15 ( subtract 60 from both sides )

- 15x = - 45 ( divide both sides by - 15 )

x = 3

Substitute x = 3 into (3) for corresponding value of y

y = 30 - 5(3) = 30 - 15 = 15

Thus solution is x = 3, y = 15

You buy a 36-ounce can of tomatoes. How many pints is that?

Answers

Answer:

If you buy a 36-ounce can of tomatoes the number of pints will be 2.24

Step-by-step explanation:

1 Fluid Ounces = 0.062 Pints

2x+3=17 and x =7



It’s for algebra class please help my teacher is really strict but okay please thank u a lot

Answers

Answer:

The equation is true/ or an identity

Step-by-step explanation:

Plug in 7 for x, you get

2(7)+3=17

14+3=17

17=17

Answer:

14+3=17or(2*7) +3=17basically 17=17

Step-by-step explanation:

2x+3=17 and x =7

Let's Substitute:(Because the variable is x and we have a value for it which is 7)(Bold and underlined is where the variable is in the equation)

Since x is equal to 7 we are going to substitute it in the equation.

So: (2*7) +3=1714+3=17

I think this is the answer since already having the value of x is an answer please let me know if I am wrong or answered incorrectly so I can change my answer or let everyone know its wrong so it can be deleted. I only want to spread truthful information and assistance so let me know how I did by rating the answer, saying thanks or reporting it so I can improve.

Everyone Can Learn and will never stop learning!

Thank you! Hope this helps!

54 equals 9 more than a number $t$ .

Answers

Answer:54 = t + 9

Step-by-step explanation:

The expression is 54= t+9

expresa en lenguaje algebraico lo siguiente​

Answers

Answer:

i dont speek Spanish sorry

Pleasee help! I don’t know the answers. I’m struggling

Answers

Answer:

1. Total amount of the five checks is $132.95.

2. She owed $16.47 before tax.

3. quizzes- 53 pts

   projects-129 pts

   tests-272 pts

   for grading period-454 pts

4. Tim-399

   Jane-401

   Felipe-412

   Chen-419

   team-1,631

Can i get brainliest please?


[tex]( - \frac{3}{5} )( - \frac{10}{3} )( - \frac{2}{9} ) = [/tex]
I need help please​

Answers

[tex](-\frac{3}{5})(-\frac{10}{3})(-\frac{2}{9}) = (\frac{30}{15})(-\frac{2}{9}) = 2(-\frac{2}{9}) = -\frac{4}{9}[/tex]

Identify a line that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original.

Answers

Answer:

The correct option is;

y = 6

Step-by-step explanation:

The reflection of the figure of a preimage over a line of symmetry will form an image that the same coordinates as the preimage.

The line of symmetry is a line or axis that goes through the geometric figure's center and outlines the division of the the figure into two identical, symmetrical parts

The appearance of the figure on one side of the line of symmetry is a reflection of the image on the other side of the line of symmetry

In the figure included in the question, given that the shape of the figure is a rectangle the line of symmetry will be a line passing through the midpoint of a chosen side and parallel to the side adjacent to the chosen side

Therefore, the lines of symmetry are x = 4.5 and y = 6. Therefore, the most correct of the given options is y = 6.

   Option A will represent the line of reflection.

 A rectangle has two pairs of vertices. If one pair reflects over a line in such a way that it replaces the other pair, line is said to be the line of reflection.

If the pair of points A,B replaces the other pair C,D, line of reflection will be y = 6.

Similarly, the pair of vertices A,C replaces other pair B,D, line of reflection will be x = 4.5.

   Therefore, line given in Option A will represent the line of reflection.

Learn more,

https://brainly.com/question/10612394

write an equation for g(x) given the following transformations, translation right 3, vertical shift up 5, vertical compression/shrink 1/4.

Answers

у вас всё правильно вы молодцы

The circumference of a circle can be found by multiplying Pi by the diameter True False

Answers

Answer:

True

Step-by-step explanation:

You can find the circumference by multiplying Pi and the diameter.

Answer:

True. And if you only know the radius, multiply the radius by two to get the diameter.

If Kiran solves the equation for p, which equation would result?

Answers

Answer:  i have a answer but it is not up there srry

Step-by-step explanation:  

The variables x and y are related proportionally. When x =6, y = 10. Find y when x = 57.
When X = 57, y =

Answers

x=6 y=10
x=57 y=10
57/6=9.5
10*9.5 =95
y=95

what place does the three sit at in 43,628,698,591

Answers

Answer:

Billion

Step-by-step explanation:

In 43,628,698,591 the three is in the Trillion spot.

One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.

There are 9 #’s after the 3 which means it is billions :)

You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each person. The tables come in two different sizes. The smaller tables can fit 2 people, the larger tables can seat 4 people. Write an equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Answers

Answer:

2x + 4y = 110

Step-by-step explanation:

Let

The quantity of small tables = x

The quantity of large tables = y

The smaller tables can fit 2 people, the larger tables can seat 4 people.

Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Number of people×quantity (small table) + number of people×quantity (large table) = 110

2x + 4y = 110

4x - 10 = p+ 3x - 2x what is the value of x

Answers

Answer: if you need more let me know

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