The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.

The Graph Of A Function Is Shown On The Coordinate Plane Below. Identify The Rate Of Change Of The Function.

Answers

Answer 1

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The slope m is a measure of the rate of change

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with |(x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = [tex]\frac{4-(-1)}{3-0}[/tex] = [tex]\frac{4+1}{3}[/tex] = [tex]\frac{5}{3}[/tex] ← rate of change

Answer 2

Answer:

slope(m) = 7/4

Step-by-step explanation:

You can use Rise over run in order to find out the answer. I just used points (0,-1) and (4,6) and the rise was positive 7 while the run is 4 so the rate of change or the slope is 7/4.

You could also use the long way to figure the slope of the line. You could use (y2 - y1) / (x2, x1) to get the same slope


Related Questions

The solution a+b>-9 is a >-25. What is the value of b

Answers

Answer: b > 16

Step-by-step explanation:

Because a > -25, b must be at least greater than 16, as if a is -25.1, for example, b must be 16.11.  

1. Describe the three-dimensional shape that is generated by
rotating the two-dimensional shape around the axis shown.
A rectangular prism
C cylinder
B cube
D triangular prism

Answers

Answer:

Cylinder and cube are three dimensional shape

Answer:

triangular prism

rectangular prism

Step-by-step explanation:

What is Osmosis? brainliest to anybody who can answer this correctly

Answers

Answer:

Osmosis is the diffusion of water to an area of high water concentration to an area of low water concentration.

Step-by-step explanation:

Answer:

the spontaneous passage or diffusion of water or other solvents through a semipermeable membrane

Step-by-step explanation:

a process by which molecules of a solvent tend to pass through a semipermeable membrane from a less concentrated solution into a more concentrated one, thus equalizing the concentrations on each side of the membrane.

What is the value of the rational expression when x = –3?

-1/12
0
1/6
undefined

Answers

this is the grah of x=-3

Option D is correct, the value of the rational expression when x = –3 is undefined.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is x/x²-9

x divided by x square minus nine.

Now let us find the value of the expression when x is minus three,

Plug in x as -3 in the above expression.

-3/(-3)²-9

-3/9-9

-3/0

Anything divided by zero then the value is undefined.

Hence, Option D is correct, the value of the rational expression when x = –3 is undefined.

To learn more on Expressions click:

https://brainly.com/question/14083225

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What is the value of the rational expression x/x2-9 when x = –3?

A. -1/12

B. 0

C. 1/6

D. Undefined

Factorise fully

gcse maths

please help

Answers

Answer:

Step-by-step explanation:

Numbers: HCF of 18 and 30

18: 2 * 3 * 3

30:2 * 3 * 5

HCF: 2 and 3 = 6

a: a * a and a.

HCF = a

b: b

c: c and c*c

HCF: C

Answer: 6*a*b*c(3a + 5*c)

Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.

PLEASE HELP GEOMETRY IS SO HARD PLEASE


tell me if i need to add or delete an answer

Answers

Answer:

where is questions asking

help pls its due tomorrow ill give brainliest

Answers

Answer: It’s C

Step-by-step explanation:

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS PLS ANSWER

Answers

Answer:

4

Step-by-step explanation:

I think if not sorry

Can someone please explain what x is over here? And solve a part with working please :). Eternally grateful

Answers

Answer:

[tex]\frac{1}{9}[/tex] , 3 , 10

Step-by-step explanation:

Using the rules of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]

[tex]a^{0}[/tex] = 1

(a)

[tex]6^{-x}[/tex] = [tex]\frac{1}{6^{x} }[/tex] = [tex]\frac{1}{9}[/tex]

(b)

[tex]6^{\frac{x}{2} }[/tex] = [tex]\sqrt{6^{x} }[/tex] = [tex]\sqrt{9}[/tex] = 3

(c)

[tex]6^{0}[/tex] + [tex]6^{x}[/tex] = 1 + 9 = 10

HELP ME ASAP i could rly use it

Answers

Answer:

B-at the second line

Step-by-step explanation:

hope it can help you lovelots

#LEARN WITH BRAINLY

[tex]x^2 +6x +18 =0\\\\\implies x^2 + 2 \cdot 3 \cdot x + 3^2 -3^2 +18 =0\\\\\implies (x+3)^2 -9 +18 =0\\\\\implies (x+3)^2 +9 =0\\\\\implies (x+3)^2 =-9[/tex]

-5x - 25= 78; her work is shown below identify the error and where it was made

Answers

[tex]-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5[/tex]

An Earth worm Moves at a
distance of 45cm in 90 secondo
find the speed of the earth
worm

(I need to know how to lay it out as well)

Answers

Answer:

if the units is in m/s

Step-by-step explanation:

first work out using this triangle.

distance= speed x by time

so if we're trying to find out the speed we reaarange the triangle to :

   distance

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

speed x   time

so speed = distance divided by time

distance = 45cm

divided by time = 90 seconds

But the units are cm and should be metres per second

change 45cm to m

that is 45cm = 45/ 100 = 0.45

0.45/ 90= 0.005cm

answer = 0.005 metres per second( m/s)

plz say thanks + rate !

Maddie has $100. She worked for 5 days and she now has $200. What
integer represents the average increase in value PER DAY?

Answers

She gets 20 dollars every day.

help me pls...........​

Answers

Hello,

We need first to know what's a gradient. The Gradient (also called Slope) of a straight line shows how steep a straight line is.

But how do we find the slope (or Gradient) from two points ?

For exemple, let's find the gradient of the two points PQ...

Method

1. We need the coordinates of the point P, and the point Q :

P = (6 ; -11)

Q = (k ; -9)

2. The slope is the change in height divided by the change in horizontal distance.

In other words we :

a) subtract the x values

b) subtract the y values

c) divide

Application for PQ

subtract x values : xQ - xP = k - 6

subtract the y values : yQ - yP = -9 - (-11) = -9 + 11 = 2

divide : (k-6) / 2

That is the gradient of PQ.. Now let us find the gradient of PR

Application for PR

subtract x values : xR - xP = 2k - 6

subtract the y values : yR - yP = -3 - (-11) = -3 + 11 = 8

divide : (2k-6)/8

That is the gradient of PR.

We know that by assumption, gradient of PQ = gradient of PR, what is the value of k ? Well, we simply need to solve an equation here :

gradient of PQ = gradient of PR

(k-6) / 2 = (2k - 6) / 8

k-6 = (4k - 12)/8 (we have multiplied by 2 on each sides of the equation)

8k - 48 = 4k - 12 (we have multiplied by 8 on each sides of the equation)

8k - 4k = - 12 + 48

4k = 36

k = 36 / 4 = 9

So the value of k in order for the two gradients to be equals needs to be equal to 9

Good luck

The expression 3(x + 4) - (2x + 7) is equivalent to

Answers

Answer:

Why don't know wt is equal to..

Step-by-step explanation:

3(x + 4) - (2x + 7)

3x + 12 - 2x - 7

1x + 5

x + 5

The length of the base of an isosceles triangle is x. The length of a leg is 2x-5 . The perimeter of the triangle is 25. Find x.

Answers

Answer:

=x+2x-5=25

=3x-5=25

=3x=30

=x=10cm

Step-by-step explanation:

mark as brainliast

Answer:

10 cm

Step-by-step explanation:

STRUCTURE Gustavo sets up tables for a caterer on weekends. Each round table can seat 8 people. Each rectangular table can seat 10 people. One weekend, his boss asked him to set up tables for 124 people. He uses 2 more round tables than rectangular tables. Write a system of equations to find the number of round tables and rectangular tables Gustavo used. Then graph the system on a separate sheet of paper to solve the system.

Answers

Gustavo used 8 round tables and 6 rectangular tables.

Since Gustavo sets up tables for a caterer on weekends, and each round table can seat 8 people while each rectangular table can seat 10 people, and one weekend, his boss asked him to set up tables for 124 people, and he uses 2 more round tables than rectangular tables, to find the number of round tables and rectangular tables Gustavo used the following calculation must be performed:

10 x 8 + 8 x 10 = 160 8 x 8 + 6 x 10 = 124

Therefore, Gustavo used 8 round tables and 6 rectangular tables.

Learn more in https://brainly.com/question/25443927

Please help! Will give Brainliest

Answers

Answer:

You Need the angle GEF in order to find DEF and DGE

Step-by-step explanation:

Triangle = 180 degrees

EFD = 60 degrees

180 degrees - (GEF + 60 degrees) = EGF

DEG = 60 degrees

180 - (DEG + GEF + EFD) = EDF

180 - EGF = EGD

DEG + EGD + EDG = 180 degrees

FEG + GFE + EGF = 180 degrees

Use the Distributive Property to solve the equation.
​3​(x−​6)+8=5x−2

Answers

Answer:

x = -4

Step-by-step explanation:

2x=-2+10

-2=8

x=-4

Answer:

3x-18+8=5x-2

3x-10=5x-2

3x-5x=-2+10

-2x=8

X=-4

Step-by-step explanation:

Have a great day

Solve the equation for x.

x + 13 = 22​

Answers

x + -13 = 22

Reorder the terms:

-13 + x = 22

Solving

-13 + x = 22

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '13' to each side of the equation.

-13 + 13 + x = 22 + 13

Combine like terms: -13 + 13 = 0

0 + x = 22 + 13

x = 22 + 13

Combine like terms: 22 + 13 = 35

x = 35

Simplifying

x = 35

what type of graph is used to display categorical data?

Answers

Answer:

bar chart..

Step-by-step explanation:

how many square units are in an office that is 13 units by nine units

Answers

13 x 9 = 117 square units

File uploaded. Please help I don't understand this.

Answers

Answer:

Ms. Brown needs 0.18 more cents to afford the pounds of granola and cranberry mix.

Step-by-step explanation:

Ms. Brown = $10 limit

Purchases 1.75 lbs of granola and 2.9 lbs of cranberry mix

Cranberry per lb = $3.25

Granola per lb = $2.19

1.75 x 2.19 = 3.8325 (Cost of granola)

2.9 x 2.19 = 6.351 (Cost of cranberry)

3.8325 + 6.351 = 10.1835 (Total cost of both cranberry and granola)

10.1835 rounded to nearest cent = 10.18

10 < 10.18

Ms. Brown doesn't have enough money to buy the pounds of granola and cranberry mix.

please help me i need this quick

Answers

So to do that problem, the variable h is the feet. So you plug 15 into variable h. When you do that you get:

15 = 2+ 32t -16(t^2)

16(t^2) - 32t = -13

h = 2 + 32t - 16t^2 is the function given to model the balls flight and we want to know what time the ball is at 15 feet in the air, which is at 2 points in time since the ball takes a parabolic trajectory.

15 = 2 + 32t - 16t^2

0 = -16t^2 + 32t -13

since the equation isn't factorable we will use the quadratic formula.

(-b +- sqrt(b^2 - 4ac))/2a

=

we end up with t = (4+-sqrt(3))/4 which is t = 1.43 seconds and t = 0.57 seconds when approximated.

Which multiplication problem is represented by this grid?

Answers

Answer:

The last one is the answer.

Find the value of x. Then find the measure of each labeled angle

Answers

Answer:

x = 12

9x = 108º

6x = 72º

Step-by-step explanation:

The angles sum to 180º

9x + 6x = 180

15x = 180

x = 12

9x = 9 * 12 = 108

6x = 6 * 12 = 72

In the given parallelogram, we can see that 9x° & 6x° are adjacent angles.  2 adjacent angles in a parallelogram sum up to 180°. So,

9x° + 6x° = 180°

15x° = 180°

x = 180/15

x = 12

Now,

6x° = 6 × 12 = 72°

9x° = 9 × 12 = 108°.

=》The value of 'x' is 12 & the measure of each labelled angle is 72° & 108°.

________

Hope it helps ⚜

Need help with this ASAP I’ll mark brainliest

Answers

Answer:

option 3

Step-by-step explanation:

The translation [tex]T_{3, - 4}[/tex] means add 3 to the x- coordinate and subtract 4 from the y- coordinate, then

(- 5, 2 ) → (- 5 + 3, 2 - 4 ) → (- 2, - 2 )

A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82

Answers

A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82

evalute ½(7-3)-(4-10)​

Answers

Answer:

8

Step-by-step explanation:

1/2(4)-(-6)                  BODMAS method

2-(-6)

2+6

8

answer is 8, use the pemdas method

In Joe's fish tank, there are 5 goldfish and 12 snails. How does the ratio 5:17 describe Joe's fish
tank?
Choose the correct answer below.
O A. The ratio 5:17 compares the number of snails to the number of goldfish.
OB. The ratio 5:17 compares the number of snails to the total number of animals.
OC. The ratio 5:17 compares the number of goldfish to the total number of animals.
OD. The ratio 5:17 compares the number of goldfish to the number of snails.

Answers

Answer:

OC. 5:17 compares the amount og goldfish he has to the amount of total animals he has

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