What is the difference between slope and average rate of change ?

Answers

Answer 1
the slope is the average rate of change of a line. for a line it was unique in the fact that the slope was constant. it didn’t change no matter what two points you calculated it for on the line.

Related Questions

Write the sentence as an inequality. A number x is less than 7 and greater than 3

Answers

X LS 7 GT 3
Um or
X LS 7+3

The inequality as per the given statement will be equal to 3 < x < 7.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the information in the question,

Let the number is x.

x is less than 7.

x < 7 and,

x is greater than 3,

So, x > 3

So, it can be written in combined form as:

3 < x < 7

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Simplify the algebraic expression 5x+3+7x+4

Answers

First you add 5x+7x=12x
Next add 3+4=7
So it’s 12x+7

Answer:

12x +7

Step-by-step explanation:

First determine what numbers are coefficients. Because 3 and 4 don't have a variable in them, we know they are coefficients. You can then add them together to get 7. After that, we see that 5x and 7x both share the variable x. Because they share the same variable you can add them together to get 12x. Because 12x and 7 don't have the same variable you cannot add them together. This means that 12x + 7 is your final answer.

−8x+9y=-21 -3x+9y=−36

Answers

Answer:

x=-3  y=-5

Step-by-step explanation:

big brain

Answers

Answer:

the first rectangle im pretty sure is 32

the second one is 12.8

Step-by-step explanation:

half of 8 is 4 and half of 25.6 is 12.8

Gabe earns $10 per hour working for a landscaping business. He earned a raise to $10.75 per hour.


What is the percent increase of Gabe’s wages? If necessary, round your answer to the nearest tenth of a percent.

Answers

107.50 I believe is the answer

Employees at a medical supply company are mixing saline solution for use in IVs. They start with 50 liters of 12% solution. To this, they plan to add 10% solution. How many liters of the 10% solution should they add in order to obtain a finished product that is 11% saline?

Answers

Answer:

50 liters of the 10% solution should be added

Step-by-step explanation:

Here, we want to calculate the number of liters of the 10% solution that should be added

Let the number of 10% solution to be added be x liters

So total liters is now x + 50

Thus;

50 liters of 12% + x liters of 10% = (x + 50) liters of 11 %

Hence

12/100 * 50 + 10/100 * x = 11/100 * (x + 50)

0.12(50) + 0.1(x) = 0.11(x + 50)

6 + 0.1x = 0.11x + 5.5

6 - 5.5 = 0.11x - 0.1x

0.5 = 0.01x

x = 0.5/0.01

x = 50

SCory earns $20 per day plus $6 for every sale he makes. On Saturday, he wants to earn at least $50. Which best describes the number of sales he needs to make to reach his goal? (Hint: Write an inequality to find solution.)

Answers

Answer:

5 sales is the answer now give brainliest

Answer:

He would have to make 5 sales.

Step-by-step explanation:

To write this as an inequality, you would write it as 20 + 6(x).

Work out the value of (2x10^4)+(7x10^3) in standard form

Answers

Answer:

27000x

Step-by-step explanation:

Answer:

27000

Step-by-step explanation:

(2 * 10^4) + ( 7 * 10^3)

rewrite in standard form

20000 + 7000

solve

= 27000

A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.

Answers

Answer:

The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.

Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.

You can see the image below, where i did a rough sketch of the problem.

in the image, you can see that the sides of this rectangle are the ones formed by the pairs:

(-4,3) and (-2, 8)

(-2, 8) and (2, 5)

(2,5 ) and (1, -7)

(1, - 7) and (-4, 3)

Now let's calculate the length of each side.

Remember that when we have two points (a, b) and (c, d) the distance is:

D = √( (a - c)^2 + (b - d)^2)

Now we need to calculate four distances:

(-4,3) and (-2, 8)

D1 = √( (-4  + 2)^2 + (3 - 8)^2) = 5.39

(-2, 8) and (2, 5)

D2 = √( (-2  - 2)^2 + (8 - 5)^2) = 5

(2,5 ) and (1, -7)

D3 = √( (2  - 1)^2 + (5 + 7)^2) = 12.04

(1, - 7) and (-4, 3)

D4 = √( (1  +4)^2 + (-7 -3)^2) = 11.18

Now we add those four distances to get the perimeter:

P =  5.39 + 5 + 12.04 +  11.18 = 33.61

And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:

p = 37

Suppose the size of each cube is doubled and the size of the large box is doubled. How many of these new cubes would fit? Explain how you found your answer.

Answers

5 because it center area in the right place

4x - 8 = 12
4x - 8 + 8 = 12 + 8
4x = 20
4/4x = 20/20
x=

Answers

Answer:

x=5

Step-by-step explanation:

If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5. Also, if replace x with 5 within any of the equations it works.

Hope this helps!

The solution is: The value of x is: x=5

Here, we have,

given that,

the expression is: 4x - 8 = 12

we get,

4x - 8 = 12

or, 4x - 8 + 8 = 12 + 8

or, 4x = 20

now, we have,

If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5.

i.e. 4x/4  = 20/4

or, x = 5

Also, if replace x with 5 within any of the equations it works.

Hence, The solution is: The value of x is: x=5

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20 pounds of pet food for
$14.99
Find the unit rate?




Answers

Answer:

$0.75 per pound

Step-by-step explanation:

To find the unit rate, divide the price by the amount you have.

14.99/20 = 0.7495

Use PEMDAS to solve the following Order of Operations problem. 4 x 7-6^2÷ 3 = _______​

Answers

Answer:

16

Step-by-step explanation:

4 x 7 - 6 x 6/3

4 x 7 - 36 / 3

28 - 36 / 3

28 - 12

16

8. A sequence can be generated by using 2n - 11. What are the first four terms in
the sequence?

Answers

Answer:

              [tex]\bold{a_1=-9\,,\quad a_2=-7\,,\quad a_2=-5\,,\quad a_4=-3}[/tex]

Step-by-step explanation:

[tex]a_n=2n-11\\\\a_1=2(1)-11=2-11=-9\\\\a_2=2(2)-11=4-11=-7\\\\a_3=2(3)-11=6-11=-5\\\\a_4=2(4)-11=8-11=-3[/tex]

help me. I'm not very good at math

determine whether the given is a rational equation, rational inequality,rational, function

y = × + 3

I will mark if anyone answer these

wrong or no respect will be report​

Answers

X=-3 I’m sure I’m right

What is the length of the graphed line segment

Answers

Answer:

acc. to me it should be

[tex] \sqrt{50} [/tex]

7. Robert poys for his family to go bowling. He pays an initial fee
to rent shoes for everyone and then pays a certain amount
per game that his family plays as shown in the graph
How much did Robert pay to rent shoes for
everyone
Total Cost
What was the cost per game at the
bowling alley?
c. Write an equation to represent the situation
Number of Gomes

Answers

Answer:

a)Robert pay $12 to rent shoes for  everyone

b)Cost of each game is 4.5

c)y = 4.5x+12

Step-by-step explanation:

Refer the attached graph

a)How much did Robert pay to rent shoes for  everyone ?

y - intercept will give the rent shoes for everyone

y intercept is point where the graph of a function or relation intersects the y -axis of the coordinate system.

So, from the graph we can see that at x = 0 , y = 12

So, from the graph we can see that the no. of games is 0 . So, Total cost is 12

Thus Robert pay $12 to rent shoes for  everyone

b)What was the cost per game at the  bowling alley?

So, we are supposed to find the slope

Two pints from graph :

[tex](x_1,y_1)=(0,12)(x_2,y_2)=(2,21)m = \frac{y_2-y_1}{x_2-x_1}=\frac{21-12}{2-0}=4.5[/tex]

So, Cost of each game is 4.5

c)Write an equation to represent the situation  Number of Gomes

General equation : y = mx+c

So, y = 4.5x+12

estimate 29.14 divided by 3.2071

Answers

Answer:

9.05 is my estimate

Step-by-step explanation:

The actual answer should be 9.08 etc....cause its a repeating decimal.

what is 12 to the 16 power/ 12 to the 4 power ill give brainliest

Answers

Answer:

12^16= 184884258895036400

12^4= 20736

Help me out please I'll give brain list

Answers

Answer:

b

Step-by-step explanation:

hope this helps

B because they are all attached to the bell which will allow it to make noise hope this helped

A line extends from point T to point R. Point S is between points T and R. The space between T and S is labeled 3 x minus 4. The space between T and R is labeled 4 x + 1.
Which expression represents the measure of segment RS?

7x – 3
7x + 5
x + 5
x – 3

Answers

Answer:

x+5

Step-by-step explanation:

Answer:

which expression represents the measure of segment RS? x + 5

Step-by-step explanation:

on engenuity

Nicole babysits on the weekends. She charges a flat fee of $10 and then $5 per hour. If she made $40 on Friday night, how many hours did she babysit?

Choose the equation to represent this situation.

Group of answer choices

Answers

Since she charges a flat fee of 10 what she made from babysitting would be 30 dollars and if you divide 30 dollars by 5 it would calculate to 6 hours of babysitting.

Which of the x values are solutions to the inequality 4≥2-4x

Answers

Answer:

x = -1/2

Step-by-step explanation:

Given:

Inequality 4 ≥ 2 - 4x

Find:

Value of x

Computation:

4 ≥ 2 - 4x

4x ≥ -2

x ≥ -1/2

x = -1/2

Can someone tell me them least to greatest please!!!!!

Answers

Answer:

11/3 , 17 , 20 hope this helps

There are 28 roses and 35 carnations. Anna is making flower arrangements using both flowers, what is the maximum number of arrangements she could make?

Answers

Answer:

The maximum amount of flower arrangements she can make are 28.

Step-by-step explanation:

There are enough roses and carnations to make 28 flower arrangements. There will still be leftover carnations but that's fine.

You do this by finding the smaller number of flowers and grouping them with the other flower so it makes a group of two. If the other flower had 2x the amount of the smaller flower, them group them in a group of 3;  1 : 2

But this is only used to make the maximum amount. this is not the efficient way to go but this is the way to go if you are finding the max amount.

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .

Answers

*See attachment for the given diagram.

Answer:

∆ABC and ∆FDE are congruent by the SSS criterion.

The value of x is 11 and the value of y is 8

Step-by-step explanation:

Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.

Thus:

AB ≅ DF

BC ≅ DE

CA ≅ FE

Find x:

Since BC ≅ DE, therefore measure of BC = measure of DE.

BC = x + 3

DE = 14

Thus,

x + 3 = 14

Subtract 3 from each side

x = 14 - 3

x = 11

Find y:

Since AB ≅ DF, therefore the measure of both sides are equal.

AB = 3

DF = x - y

Thus,

x - y = 3

Substitute x = 11 into the equation

11 - y = 3

Subtract 11 from both sides

-y = 3 - 11

-y = -8

Divide both sides by -1

y = -8/-1

y = 8

Answer:

Below

Step-by-step explanation:

got it right

How to calculate tan sin cos on calculator ?

Answers

Step-by-step explanation:

Put in sin, tan or cos and put the number next to it and press equal to

It’s number 6. I’ll give brainliest

Answers

answer: $12

explanation:

we know that 2 CDs and 6 DVDs cost $156 and 1 CD and 9 DVDs cost $210.
this gives us the equations:

2x + 6y = 156
and
1x + 9y = 210
where x is CDs and y is DVDs

multiply the top equation by 9 and the bottom by -6 to solve for x:

18x + 54y = 1404
-6x - 54y = -1260

add from top to bottom:

12x = 144

divide both sides by 12 to get:

x= $12

2.08539251 rational or not ?

Answers

Answer:

Yes it is rational.

Step-by-step explanation:

Answer:

Rational I think

Step-by-step explanation:

Rational means it can be expressed as a fraction

Action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection?

Answers

Answer:

64 DVDs

Step-by-step explanation:

25% = 16 DVDs

25%x 4 = 16x 4

100% = 64 DVDs

If action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection will be 64

First step is to convert the decimal to fraction

16÷24÷100

Second step is to reduce the fraction

16÷1÷4

Third step is to divide the fraction by multiplying its reciprocal in order to determine how many DVDs does Sara have in her collection

16×4

=64

Inconclusion if action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection will be 64

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