What is the average rate of change of the line?

What Is The Average Rate Of Change Of The Line?

Answers

Answer 1

Answer:

- 12

Step-by-step explanation:

The slope of the line is a measure of the average rate of change

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = - 12(x + 4) ← is in point- slope form

with slope m = - 12 ← average rate of change


Related Questions

Divide. 8 divided by 1/3

Answers

Answer:

24

Step-by-step explanation:

8 ÷ 1/3

8/1 ÷ 1/3

8/1 ⋅ 3/1

8 ⋅ 3 = 24

1 ⋅ 1 = 1

24/1 = 24

The population has decreased by 300 residents over the past 5 years. The same number the same number of residents left each year what was the change in the towns population each year

Answers

Answer:

-60

Step-by-step explanation:

Increase in population is given by positive sign

Change in population in 5 years = -300

Decrease in population is represented by negative sign

Change in population in 1 year = -300\5

                                                = -60

Town's population faces a decrease of 60 residents each year.

Step-by-step explanation:

Which statement correctly compares the function shown on this graph with
the function y= 4x+2?
1 2 3 4 5
O A The function shown on the graph has a greater rate of change and
a higher starting point
O B. The function shown on the graph has a smaller rate of change, but
a higher starting point
O C. The function shown on the graph has a smaller rate of change and
a lower starting point
O D. The function shown on the graph has a greater rate of change but
a lower starting point

PLEASE ANSWER

Answers

Answer:

B. The function shown on the graph has a smaller rate of change, but a higher starting point.

Step-by-step explanation:

Rate of change = slope of a linear graph.

Given the linear function, [tex] y = 4x + 2 [/tex] , the rate of change here is represented by the slope of the line, which is 4.

Let's find the rate change of the function represented on the graph using slope formula:

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use coordinates of any two points on the line. Let's take,

[tex] (0, 4) = (x_1, y_1) [/tex]

[tex] (1, 7) = (x_2, y_2) [/tex]

Rate of change = [tex] \frac{7 - 4}{1 - 0} = \frac{3}{1} = 3 [/tex]

Rate of change of the linear function of the graph = 3.

Thus the function on the graph has a smaller rate of change, than the function, y = 4x + 2.

The starting value of a function is the y-intercept, that is, the value of y, when x = 0. It is the point at which the line intercepts the y-axis.

The starting value of the linear function, y = 4x + 2 is 2.

The starting value of the function on the graph is 4. At this point, x = 0.

Thus, the function on the graph has a higher starting point.

The statement that correctly compares the function shown on this graph with the function y= 4x+2 is:

B. The function shown on the graph has a smaller rate of change, but a higher starting point.

Answer:

A

Step-by-step explanation:

Correct on  A P E X

(b^5)^3 x b^4 simplify

Answers

b^19x
I hope this helps:D

Answer:

b^19

Step-by-step explanation:

In the first factor, we need to use a formula to simplify. The formula is x^a^b = x^(ab). So that means that our first factor simplifies to b^15. Then we add up the powers to simplify it even more. b^15 * b^4 = b^19 using another formula. Therefore b^19 is the answer.    

A whole number k is greater than 3. Which of the following is true about k/3?

Answers

Answer:

D) It is greater than 1.

Step-by-step explanation:

Since k is greater than 3, it could not be between 0 and 1/3 and also could not be between 1/3 and 1

We also know that it is not equal to 1 because it is greater than 3.

Therefore, it is greater than 1.

Please help !!! Thanks :)

Answers

Pair 2 is a reflection. If you rotated it it would be flipped, so that doesn’t make sense.

Answer:

reflection/////////

5 x 2/3 in simplest form

Answers

Answer:

10/3

Step-by-step explanation:

Answer:

10/3

Step-by-step explanation:

5/1 x 2/3= 10/3

5 x 2 = 10

1 x 3 = 3

You cannot simplify 10/3.

Can someone please help me with money? I'm only 8 years old and I'm embarrassed
how do you spend $8.50 in cash? How do I know if I have the right amount?

Answers

Answer:

Umm, maybe ask your parents? Or maybe just save the money for college.

LOL

You could have 8 $1 bills and 2 quarters or a $5 bill and 3 $1 bills and 4 dimes and 2 nickels. I’m not sure if this helps at all but there’s ways you could split them up.

how to get algebra help

Answers

What even is this question?

what is 53−(648)+102

Answers

Answer:

-493

Step-by-step explanation:

Answer:

-493:) brainly?

Step-by-step explanation:

pleas help this is due at mid night and idk how to do it

Answers

Answer:

i wish i could help but i have to do my work slso that is due 1 min before midnight

Step-by-step explanation:

Anwser is the the third one and you are so very welcome :)

WILL MARK BRAINLIEST! Which of the following rules represents the function shown in the table?


A) f(x) = n + 3

B) f(x) = 3n

C) f(x) = 1/3n

Answers

Answer: B

Step-by-step explanation:

What is the equation of the graphed line?

a. y=x+4

b. y=-x-3

c. y=-x+3

d. y=-x-4

Answers

Answer:

b.) y=-x-3

Step-by-step explanation:

Your slope is negative 1 and the y intercept is -3.

Plzzz help me

Suppose your business has a special checking account used just for paying the phone bill. The balance is $1530.00 this month. Next month the balance will be $1496.30, after that it will be $1432.60, and on the third month the balance will be $1428.90. Write an explicit formula to represent the balance in the account as an arithmetic sequence. How many months can you pay your phone bill without depositing any more money in the account?

A) An= 1530 + (n-1) ( -33.70); 46 months

B) An = 1530 + (n-1) (-33.70); 45 months

Please explain for me how you got the answer. Thank you so much

Answers

Answer:

B

Step-by-step explanation:

this month=1530

first month=1530-33.70=1496.30

Second =1496.30-63.70=1432.60

Third=1432.60-3.70=1428.90

What’s the radius and diameter

Answers

Answer:

Radius=11

Diameter=22

Step-by-step explanation:

The radius is already pictured above and the diameter is twice the size of the radius. Hope that helps!

The mass of Planet X is 8.46×1022 kilograms. The mass of Planet Y is 5,028,000,000,000,000,000,000 kilograms. About how many times greater is the mass of Planet X than the mass of Planet Y?
A. 1.6 times
B. 3 times
C. 16 times
D. 30 times

Answers

Answer:

A.16 and some of you might get the answer is 17

So I don't have an explanation I just wanted to correct the number 1022 the correct number is 10^22 and if I were wrong then non of the choices are correct.

Please help thanks guys appreciate it:)

Answers

Answer:

37

Step-by-step explanation:

It’s 37 degrees. If you look at one straight line, both sides have to equal 180. So take 180-37 and that’s the answer to CBD. Then you take THAT and subtract it from 180, which is 37. That’s the complicated way of explaining it. Since it’s right across it’s 37.

What is the prime factorization of 154?

2 × 7 × 11
2 × 7 × 13
2 × 5 × 11
2 × 5 × 13

Answers

Answer:

2 x 7 x 11

Step-by-step explanation:

what is the expression in from 4^n

Answers

Answer:    14n or (14×n)

Step-by-step explanation:

4^-2

Because when you are multiplying numbers with the same base, you add the exponents together

Ana is going to a craft fair where she'll sell her handmade scarfs. She has six scarf designs, and she's made 15 of each. She's paid $128 for the booth, and each scarf costs $9.80 to make. How much should she charge for each scarf if she wants to break even after selling a third of her scarves?

Answers

Answer:

$33.6667

Step-by-step explanation:

Given the following :

Number of Scarf designs = 6

Number of each made = 15

Total scarfs = (15 * 6) = 90

Cost:

Booth = $128

Production cost per scarf = $9.80

Total production cost = $9.80 * 90 = $882

Total cost = $128 + $882 = $1010

Break even = profit - loss = 0

One third of scarves = 1/3 * 90 = 30

This means he must cover for the total cost of $1010 after selling 30 scarves

Hence price per scarf will be :

$1010 / 30

= $33.6667

x/4+10=16
solve for x

Answers

Answer:

x=24

Step-by-step explanation:

x/4+10=16

x/4=16-10

x/4=6

x=24

Answer:

x=24

Step-by-step explanation:

x/4+10=16

subtract 10 from each side:

x/4=6

multiply by 4 on each side:

x=24

Write an equation of the line that is parallel to the given line and contains point P
y=6x-5; (-3, -14)

A) y=6x-9
B) y=6x-11
C) y=6x-14
D)y=6x+4

Answers

Answer:

ouu, easy peasy; D.

Step-by-step explanation:

If you use desmos and type in (-3,-14), and then type D under it, it'll pass through the dot. The others didn't.

Which of the following describes a square root of 41 ?
A Between 20 and 21
B Between 40 and 42
C Between 6 and 7
D Between 5 and 6

Answers

Answer

C

Step-by-step explanation:

Evaluate h(x) = -x2+3x för h(-3).

Answers

Answer:

h(-3) = -3

Step-by-step explanation:

h(-3) = -(-3)2 + 3(-3)

h(-3) = 6 - 9

h(-3) = -3

Answer:

h(-3)= -18

Step-by-step explanation:

Substitute -3 for x

-(-3)^2 + 3(-3)

Simplify

-(9) - 9

Answer: -18

(b) Factorise fully 9b-3b squared

Answers

Answer:

Step-by-step explanation:

b(9-3)



The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true?

x =

Answers

Answer: -1

Step-by-step explanation:

Answer: -1

Step-by-step explanation: I got it right :))

The model shows the expression 20 + 16.
Which expression is equivalent to this sum?
O4(5) + 4
4+5+4
O4(5+4)
5(4+4)

Answers

The third one. O4 (5+4)

Explanation:
4 (5+4)
4 times 5 is 20 which added to 4 times 4 which is 16 is the same thing asked before. 20+16. So the answer is the third one

Answer:

4 (5 + 4)

Step-by-step explanation:

20 + 16

= 4 (5 + 4)

= 4(5) + 4(4)

= 20 + 16

therefore, the answer is 4 (5 + 4)

CAN ANYONE HELP ME PLEASE AND THANK YOU

Answers

Answer:

(-3,5)

Step-by-step explanation:

The water level of a lake fell by 1 1/2 inches during a 1 2/3-week-long dry spell. Find the average rate at which the water level changed every week.

Answers

Answer: The average rate at which the water level changed every week = [tex]-\dfrac35[/tex] inches per week.

Step-by-step explanation:

Given: Change in water level in [tex]1 \dfrac23[/tex]  week = [tex]-1\dfrac12[/tex] inches = [tex]-\dfrac32[/tex] icnhes

To find : The average rate at which the water level changed every week.

i.e. Change in water level per week.

As [tex]1\dfrac23 = \dfrac52[/tex]

Change in water level in 1 week = [tex]-\dfrac{3}{2}\div\dfrac52 = -\dfrac32\times \dfrac25= -\dfrac35[/tex]

Hence, the average rate at which the water level changed every week = [tex]-\dfrac35[/tex] inches per week.

We want to find the average rate of change at which the water level changed in a given time period.

We will find that the average rate of change is:

[tex]r = - 0.9 in/week[/tex]

We define the average rate of change as the quotient between the total change and the time it takes.

Here we have:

total change = -(1 + 1/2) in

Time = (1 + 2/3) weeks

Then the average rate of change is:

[tex]r = \frac{-(1 + 1/2) in}{(1 + 2/3) weeks} = - 0.9 in/week[/tex]

This means that the water level decreases, in average, 0.9 inches per week.

If you want to learn more, you can read:

https://brainly.com/question/23483858

A boat travels upstream on the Mississippi river for 3.5 hours. The return trip only takes 2.5 hours because the boat travels 2 miles per hour faster downstream due to the current. How far does the boat travel upstream? Which is the best equation to use?

Answers

Answer:

17.5 miles per hour

Step-by-step explanation:

A boat travels upstream on a Mississippi river for 3.5 hours

The return trip takes 2.5 hours

The boat travels 2 miles per hour faster downstream

Let y represent the speed that was travelled upsteam

3.5y = 2.5(y + 2)

3.5y = 2.5y + 5

3.5y - 2.5y = 5

y = 5

Therefore the distance travelled by the boat upstream can be calculated as follows

= 3.5 × 5

= 17.5 miles per hour

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