A linear function includes the points (2, 3) and (6, 8). What is the rate of change of the linear function?
Write the answer as an improper fraction (fraction greater than one) in lowest terms.

Answers

Answer 1

Answer:

The rate of change of a linear function = 5/4

Step-by-step explanation:

Given that a linear function includes the points (2, 3) and (6, 8).

So we have the points

(2, 3)(6, 8)

We know that the rate of change of a function is also termed as the slope of the function.

In other words, the slope of the linear function gives us the rate of change of the linear function.

Thus,

Determining the rate of change or slope between (2, 3) and (6, 8)

(x₁, y₁) = (2, 3) (x₂, y₂) = (6, 8)

Using the formula

Rate of change = Slope =  [y₂ - y₁] /  [x₂ - x₁]

                                       =  [8 - 3 / [6 - 2]

                                       = 5 / 4

Thus, the rate of change of a linear function = 5/4


Related Questions

Use the distributive property to rewrite each expression. 4(5-2y)

Answers

Answer:

20-8y is your answer

Step-by-step explanation:

Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1? On a coordinate plane, a rectangle has points (0, 0), (0, 3), (6, 3), (6, 0).


On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1).

On a coordinate plane, a rectangle has points (0, 0), (0, 4), (8, 4), (8, 0).

On a coordinate plane, a rectangle has points (0, 0), (0, 1), (4, 1), (4, 0).

On a coordinate plane, a rectangle has points (0, 0), (0, 2), (8, 2), (8, 0).
I HAVE 30 MINUTES LEFT ON A TIMED ASSIGNMENT!!!

Answers

9514 1404 393

Answer:

  (a)  On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1)

Step-by-step explanation:

Every point coordinate of the dilated figure will be smaller by the same factor.

Looking at the original (0, 3) coordinate, we find that possible answer choices include ...

  A (0, 1) has a scale factor of 1/3

  B (0, 4) has a scale factor greater than 1

  C (0, 1) has a scale factor of 1/3

  D (0, 2) has a scale factor of 2/3

__

Looking at the rest of the points in the answer selections, we find that the scale factors in choices C and D are not consistent from one point to another (or even within the same point). Those choices must be rejected.

In selection A, the image points are listed out of order, tending to confuse the issue. However, A is the correct choice.

x-y=5 and x+y=-10 is this parallel, perpendicular, or neither?

Answers

Answer:

Its perpendicular

Step-by-step explanation:

You can solve the equation to get x=-2.5 and y = -7.5 so they intersect there, but they intersect at 90 degrees so its perpendicular.

What is -1/8 divided by -1/6

Answers

it’s 3/4 you’re welcome :)


please help i will mark branliest

Answers

Answer:

A. S=3w

Step-by-step explanation:

Hope it helps

A. S=3w

Good luck, and have a great day!

Q: A is 8km due north of phone mast B. C is 9.5km due west of phone mast B. Calculate the distance AC

Answers

Answer:

AC = 12.4 km (nearest tenth)

Step-by-step explanation:

AC can be calculated by using Pythagorean Theorem.

Thus:

AC² = AB² + BC²

Plug in the values

AC² = 8² + 9.5²

AC + √{154.25)

AC = 12.4 km (nearest tenth)

12x=-4y-8 in slope-intercept form

Answers

Answer:

x=-y

Step-by-step explanation:

PLEASE HELP MEEEEE !!!!!! Like rn

Answers

Answer:

Your screen is black hun

Step-by-step explanation:

A train at the local fair is 6 feet long. This 1.10 scale of an actual passenger train. You want to draw a mural that includes a 1;30 scale picture of the actual passenger train.​

Answers

Answer:

Step-by-step explanation:

Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you and have a great day!

Answers

Answer:

Smaller Trapezoid: 12

Bigger Paralleogram: 24

Bigger Triangle: 22/40

Smaller Triangle : 2.75/ 5

Step-by-step explanation:

cross multiplication

Bigger Paralleogram: 9 x 16= 144 / 6= 24

Bigger Triangle: 5 x 22= 110 / 2.75 = 40

hope this helps

evaluate 40 divided by 8 plus 3 multiplied by 4 multiplied bye 2

Answers

Answer:

29

Step-by-step explanation:

40/8 + 3*4*2 =

5 + 12*2 =

5 + 24 =

29

Answer: GIVE ME BRAINLIEST! THANKS!

29

Step-by-step explanation:

CHECK FO YO SELF BOIIII!!!!!!!!

Find the value of x. Round to
the nearest tenth.
17°
47
X = [

Answers

The answer to nearest tenth is 45.0

The nearest tenth is 45


-2x + 6y - X+5+ 2x - 4y -6

Answers

Answer:

2y-x-1

Step-by-step explanation:

use zero property

(-2x. +2x) =0

=6y-x+5-4y-6

collect like terms

6y-4y=2y

=2y-x+5-6

calculate the difference

+5-6=-1

=2y-x-1

good day :)

Kathy owns her own business selling homemade jam. Each jar of jam weighs 18 ounces. The box she mails the jam in weighs 6 ounces. How many jars of jam are in a package that weighs 150 ounces? Show all work necessary to justify your answer.

Answers

Answer: There are 8 jars in the package.

Step-by-step explanation:

Given: Weight of each jar = 18 ounces

Weight of box = 6 ounces

If weight of package = 150 ounces , then the weight of all jars (only) = 150-6 ounces = 144 ounces

Number of jars = (Weight of all jars) ÷ (Weight of each jar)

= (144 ÷ 18)

= 8

Hence, there are 8 jars in the package.

If point A(-8, 5) is reflected over the line y=2 and then translated according to the rule (x,y) -> (x-1, y-4), what quadrant will point A be in?

Answers

9514 1404 393

Answer:

  3rd quadrant

Step-by-step explanation:

The second-quadrant point will lie in the 3rd quadrant after reflection over the line. Its coordinates there will be ...

  A'(-8, 2·2 -5) = A'(-8, -1)

Then, translation down and to the left will move it further into the 3rd quadrant, to ...

  A''(-8-1, -1-4) = A''(-9, -5) . . . . a 3rd-quadrant point

Write an equation of the line that passes through (0, 8) and (6, 8).

y = __

Answers

Answer:

y = 8

Step-by-step explanation:

Normally you would use the formula y2 - y1 / x2 - x1 also know as change in y over change in x, but this equation leaves you with a horizontal line.

- x(x + 7 (x - 5)
Graph this

Answers

Answer:

=−8x2+35x

Step-by-step explanation:

multiply first

tell me ur white with out saying ur white

Answers

Typing this as an actual answer this time smh:

My house is still decorated for christmas

Answer:

im not black, im the opposite

what is the answer 4, 2, 1/2, or 1/4

Answers

Answer:

C. 1

2

Step-by-step explanation:

I can give u the show ur work steps if u want

Option c is the correct one!!

HELP I NEED HELP ASAP

Answers

Answer:

sorry I did not learn those yet

Isabella's football team lost 2 yards on a running play.
Then they received a 20-yards penalty making them
lose an additional 20 yards.
Write a subtraction expression to represent the change
in yards.
Then write an equivalent addition expression.
What is the team's total change in yards?

Answers

Answer:

A loss of 22 yards

Step-by-step explanation:

(-2)+(-20)=-22

Emily is purchasing bags of soil to be delivered for her yard. Each bag of soil cost
$4 and there is a $50 delivery fee. Emily spends $130 total. Write an equation for
x, the number of bags of soil Emily purchased.

Answers

Answer:

equation- 4x + 50 = 130

Step-by-step explanation:

once solved you will know the number of bags Emily purchased (x).

I need help, i don’t understand if

Answers

Answer:

(6,6)

Step-by-step explanation:

Hope this helps!

someone please help me this is really confusing

Answers

Answer:

Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]

Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]

Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]

Step-by-step explanation:

Image 1:

We need to Find area of trapezoid.

The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]

where h is height and b₁ and b₂ are parallel sides.

Looking at the figure we get:

h = 2xy

b₁ = 4x²y

b₂ = 7x²y

Putting values and finding area:

[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]

So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]

Image 2:

We need to find area and perimeter of triangle.

First we will find area of triangle.

The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]

where b is base and h is height

Looking at the figure,

b = 3ab

h = 4a²b

Finding area:

[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]

So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]

Now, finding Perimeter of triangle

The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]

Looking at figure:

Length of side 1 = 3ab

Length of side 2 = 4a²b

Length of side 3 = 10a²b

Finding Perimeter

[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]

So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]

A hemispherical tank is filled with water and has a diameter of 14 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?

Answers

Answer:

[tex]44,826.72\ \text{pounds}[/tex]

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]

If water weighs 62.4 pounds per cubic foot, it means

[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]

So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].

12. Which of these is an algebraic
expression?
A 3 - 1.4
B 1.4 - 3
C 1.4 - n
D 1.4 + 3

Answers

Answer:

C.

Step-by-step explanation:

Hi there!

for an expression to be algebraic, there needs to be a variable.

The only option with a variable is c, with a variable of n.

I hope this helped!

What is half of 7 5/8 and 5 3/8

Answers

Answer:

6.5

Step-by-step explanation:

7 5/8 + 5 3/8= 13

13/2=6.5

NEED HELP ASAP PLS HELP WILL GIVE BRAINLIEST
A triangle has side lengths of 1512, 223, and 314. What is the perimeter of the triangle? Remember that the perimeter of a triangle is the sum of its side lengths.

Answers

Answer:

Step-by-step explanation:

P= a+b+c

P= 1512+223+314

=2049

WILL GIVE BRAINLIEST
A cylinder has a total area of 3.41946cm2 and a diameter of 0.66cm. What is its height?
pls make it easy for me to understand!!

Answers

Answer:

1.32cm

Step-by-step explanation:

Step-by-step explanation:

I'm assuming you are saying volume?

But I'll do both volume and surface area.

also note that 0.66 is the diameter, not radius

If 3.41946 is the volume:

V of cylinder = pi*r^2*h

3.41946 = pi*0.33^2*h

h = 3.41946/(pi*0.33^2) = 9.99493043 cm

If 3.41946 is the surface area:

SA of cylinder = pi*r*(r+h)

3.41946 = pi*0.33*(0.33+h)

0.33+h = 3.41946/(pi*0.33) = 3.29832704

h = 3.29832704-0.33 = 2.96832704 cm

What is the correct reason for 2?

Answers

Answer:

vertically opposit angle this is the reason of this qn

Answer:

vertically opposite angle this is the reason of this  

Step-by-step explanation:

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