Average rate of change [9,49] [25,81] with chart

Average Rate Of Change [9,49] [25,81] With Chart

Answers

Answer 1

Over [9, 49], the average rate of change of g(x) is

[tex]\dfrac{g(49) - g(9)}{49 - 9} = \dfrac{14 - 6}{49 - 9} = \dfrac8{40} = \boxed{\dfrac15}[/tex]

Over [25, 81], it would be

[tex]\dfrac{g(81) - g(25)}{81 - 25} = \dfrac{18 - 10}{81 - 25} = \dfrac8{56} = \boxed{\dfrac17}[/tex]


Related Questions

Find each answer.
Kenny reads 5/8 of a page in 2/3 of a minute. How many pages does he read each minute?

Answers

Answer:

= 15/16 pages per minute

Step-by-step explanation:

The unit rate is pages per minute, so divide the pages by the minutes:

(5/8)/(2/3) = (5/8)·(3/2)

Use the quadratic formula to solve x2 – 5x + 3 = 0.
ОА.
51/37
X =
2
B.
*.51473
O c. x.-311
2
D. X-
25+ 117
2
RE

Answers

Answer:

x is 4.30 and 0.697

Step-by-step explanation:

Quadratic formular:

[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ [/tex]

a » 1

b » -5

c » 3

[tex]x = \frac{ - ( - 5)± \sqrt{ {( - 5)}^{2} - (4 \times 1 \times 3)} }{(2 \times 1)} \\ \\ x = \frac{5± \sqrt{13} }{2} [/tex]

Therefore, values of x :

[tex]x = \frac{5 + \sqrt{13} }{2} \: \: and \: \: \frac{5 - \sqrt{13} }{2} \\ \\ x = 4.30 \: \: and \: \: 0.697[/tex]

Sara was making slug slime soup for her six friends. She needed 0.06
pounds of slug slime for each serving of soup. How much slug slime
does she need?

Answers

Answer:

0.01

can I have brainliest please

Step-by-step explanation:

Sara used 0.36 pounds of slug slime to make soup for her six friends.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Given that, Sara was making slug slime soup for her six friends.

She needed 0.06 pounds of slug slime for each serving of soup.

So, total slug slime needed is

6×0.06

= 0.36

Therefore, the total slug slime needed for the soup is 0.36 pounds.

Learn more about the multiplication here:

https://brainly.com/question/1562995.

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asap due today
oooooooooooooooooo

Answers

Answer:

3x - 2 = 10

Step-by-step explanation:

The answer is 3, 2, 10

alexandra already has 10 plants in her backyard and she also can grow 2 plants with every seed packet she uses .with 14 seeds packets how many total plants can alexandra have in her backyard

Answers

2x14=28 +10=38 plants in all

in a farm 6084 trees aer planted in such a way that there are as many trees in a row as there are row. how many rows are there?​

Answers

Answer:

78 trees

Step-by-step explanation:

No. of trees planted = Area of square

No. of trees planted = 6084

Row = side of square

Side = √(Area)

Side = √(6084)

Side = 78 trees

A bakery sold a total of 3028 coffee buns and blueberry buns. 1560 more coffee buns were sold than the blueberry buns. How many coffee buns did the bakery sell?

P.S. No algebra to be used here as it is a grade 4th question!

Answers

Answer:

[tex] \large{ \tt{ - \: HEY \: AH~\:♡ }}[/tex]

[tex] \large{ \tt{✺ \: SOLUTION}} : [/tex]

Provided : Total sold bakery items : 3028 coffee buns and blueberry buns & 1560 more coffee buns were sold than the blueberry buns.

To find : Number of coffee buns the bakery sold

- First , Subtract 1560 from 3028 :

[tex] \large{ \tt{→ \: 3028 - 1560 = 1468}}[/tex]

We just subtacted the number of more coffee buns from the number of told items sold which means that the number of coffee buns and the number of blueberry buns sold are equal for now. Now divide 1428 by 2 :

[tex] \large{ \tt{→ \frac{1428}{2} = 734 }}[/tex]

Now - Let's get back to the second sentence of the question and add 734 & 1560 :

[tex] \large{ \tt{→ \: 734 + 1560 = \large{ \boxed{2294}}}}[/tex]

Hence , The bakery sold 2294 coffee buns.

- Hope this helps , oneesan! ;)

Given:

Total no. of coffee buns and blueberry buns sold :- 3028

1560 more coffee buns were sold tjan blueberry buns

To find:

The number of coffee buns sold by the bakery

Solution:

Let the number of coffee buns and blue berry buns be x and y respectively..

According to the conditions we can write-

x+y = 3028.. (i)

x-y = 1560.. (ii)

Solving (i) and (ii) we get,

x = 2294

y = 734

The number of coffee buns sold by the Bakery is 2294..

Which equation represents a line that passes through the points (5,-2) and (8,4)?
A. y= -2x*8
B. y= 1/2x-9/2
C. y=x-6
D. y=2x-12

Answers

D i think it’s d im not so sure though


A camera has a listed price of $587.98 before tax. If the sales tax rate is 8.5%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$637.95

Step-by-step explanation:

convert 8.5% to a decimal by dividing by 100:

8.5÷100= 0.085

then multiply.

587.98×(0.085)=49.97

now add.

587.98+49.97=637.95

Brian is riding his bike. He biked a distance of 14 miles at a rate of 14 miles per hour. Rearrange the distance formula, d = rt, to solve for Brian's time in minutes.A. 1 minuteB. 7 minutesC. 60 minutesD. 420 minutes

Answers

Answer:

C. 60 minutes

Step-by-step explanation:

if Brian biked 14 miles in 1 hour and 1 hour = 60 minutes then the answer is 60 minutes. hope this helps

Answer:

60 minutes

Step-by-step explanation:

solve 12+20 using distributive property and the gcf​

Answers

Answer:

4(3+5). the sum in the parenthesis is 8 and the gcf is four. 4*8=32

Step-by-step explanation:

please help i will give extra points

Answers

Answer:

11

Step-by-step explanation:

3 x 4 ÷ 6 + 3²

multiply 3 and 4 to get 12

[tex]\frac{12}{6}[/tex]+3²

divide 12 by 6 to get 2

2+3²

find 3 to the power of 2 to get 9

2+9

Add 2 and 9 to get 11

11

hope this helps!

The graph to the right is called a circle graph or pie chart. The
circle represents a whole, or 100%. This particular graph
shows the average percent of the workday that is spent on
various tasks. Use this graph to answer the following question.
Email 2x%
Role-Specific Tasks 41%
Collaborating Internally x%
Searching and Gathering Info 17%
What percent of an average worker's time is spent on tasks
other than role-specific tasks?
TITIE

Answers

Answer:

41

Step-by-step explanation:

59 percent of an average worker's time is spent on tasks other than role-specific tasks.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, The graph to the right is called a circle graph or pie chart. The circle represents a whole, or 100%. This particular graph shows the average percent of the workday that is spent on various tasks. Use this graph to answer the following question.

Email 2x%

Role-Specific Tasks 41%

Collaborating Internally x%

Searching and Gathering Info 17%

Since Who;e graph conclude to 100%

Thus,

2x + 41 + 17  +x = 100

3x = 42

x = 14

Time spent other than Role specific = 100 - 41 = 59

Therefore, Other tan role specific tasks average worker spent on other task is 59 percent of their time,

Learn more about percentage here:

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Can someone explain this to me please and answer ?

Answers

it’s the last answer because the -5 is in the negative and the 6 is in the y axis

In 2 hours (x) Frank earned $31(y). In 4 hours he earned $62

Answers

Explanation:
In 2 hours (x) Frank earned $31(y)
In 4 hours (x) Frank earned $62(y)

2x = 31y
31 / 2 = 15.5
4x = 15.5 x 4 = 62y

What is the greatest
common factor (GCF)
of 36 and 60?

Answers

Answer:

The greatest common factor between 36 and 60 is 12.

Step-by-step explanation

36 and 60 can both be made with 12 x something. 12 x 3 equals 36, and 12 x 5 = 60

What is m∠A? help haha

Answers

I’m just going to explain how I got my answer because it might help you understand for any future problems you have like this!!

So in this case, AEB is a mirrored dilation, or for easier terms, smaller twin, of CED, so if AEB was enlarged to the same size as CED, all the angle sizes would be the same, so we have to find the dilation factor of AEB. The dilation factor is basically just how many times smaller AEB is than CED. To do this, we’re going to take a similar angle measurement from both and divide them. So, angle ABE, and angle EDC would be the same angle, so we’re going to take those measurements, so 35 divided by 18 to get 1.94. That means 1.94 would be our dilation factor. In order to find angle a, we’re going to take it’s matching angle measurement on the opposite figure, which would be angle ECD and divide that by 1.94, so 43/1.94 which would give you around 22. The actual answer was like 22.164, but I would just round to 22!! Your final answer would be A= 22 degrees!! Apologies if this is wrong, I tried my best!!

Find the inverse of the function: f(x)=1/5x+4


A f−1(x)=x−4

B f−1(x)=5x−20

C f−1(x)=−5x−4

D f−1(x)=4x−5

Answers

Answer:

B. [tex] {f}^{ - 1} (x) = 5x - 20[/tex]

Step-by-step explanation:

[tex]f(x) = \frac{1}{5} x + 4[/tex]

[tex]y = \frac{1}{5} x + 4[/tex]

[tex]x = \frac{1}{5} y + 4[/tex]

[tex] \frac{1}{5} y + 4 = x[/tex]

[tex]y + 20 = 5x[/tex]

[tex]y = 5x - 20[/tex]

[tex] \boxed{\green{{f}^{ - 1} (x) = 5x - 20}}[/tex]

Evaluate the expression for the given value of the variable.

50 - 7w/3 + 4w When w=6

Answers

Answer:

60

Step-by-step explanation:

50 - 7×6 / 3 + (4×6)

50 - 14 + 24 = 60

50 Points!!
1. Simplify the expression. 2 x (8 − 3) − 6

2. Solve the equation for c. 14c -6 = 22

3. What value of x makes this equation true? 2x + 18 = 5x

4. Simplify. 18 − c + 9c + 6

5. Solve for x. 8x=-56

Answers

1. [tex]2\cdot(8-3)-6=2\cdot5-6=4[/tex]

2. [tex]14c-6=22\implies14c=28\implies c=2[/tex]

3. [tex]2x+18=5x\implies 3x=18\implies x=6[/tex]

4. [tex]18-c+9c+6=24+8c[/tex]

5. [tex]8x=-56\implies x=-7[/tex]

Hope this helps :)

#1

[tex]\\ \sf\longmapsto 2(8-3)-6=2(5)-6=10-6=4[/tex]

#2

[tex]\\ \sf\longmapsto 14c-6=22[/tex]

[tex]\\ \sf\longmapsto 14c=22+6=28[/tex]

[tex]\\ \sf\longmapsto c=2[/tex]

#3

[tex]\\ \sf\longmapsto 2x+18=5x[/tex]

[tex]\\ \sf\longmapsto 5x-2x=18[/tex]

[tex]\\ \sf\longmapsto 3x=18[/tex]

[tex]\\ \sf\longmapsto x=6[/tex]

#4

[tex]\\ \sf\longmapsto 18-c+9c+6[/tex]

[tex]\\ \sf\longmapsto 24+8c[/tex]

#5

[tex]\\ \sf\longmapsto 8x=56[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

the distance between the base of the tree and the base of the building is:
please​

Answers

my guess is "15m" is it correct ?

Answer: C) 15 meters

Explanation:

Apply the pythagorean theorem to find the missing side.

[tex]a^2 + b^2 = c^2\\\\x^2 + 20^2 = 25^2\\\\x^2 + 400 = 625\\\\x^2 = 625-400\\\\x^2 = 225\\\\x = \sqrt{225}\\\\x = 15[/tex]

The horizontal leg of the right triangle is 15 meters long. This is the distance from the base of the tree to the base of the building.

Side note: This right triangle is based off the 3-4-5 right triangle. It has been scaled up by a factor of 5.

Find the area shaded in yellow

Answers

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

To find the area shaded in yellow in the given question in square units you have to count the number of squares the yellow figure occupies. In simpler terms, you only need to count the yellow coloured squares in the given graph. In this graph, about 52 squares are shade yellow. So, the area shaded in yellow is [tex]\large\boxed{\underline{\bf \: 52 \: square \: units.}}[/tex]

PLEASEEEE HELPPPPP!!!!!!!!

Answers

Answer:

C, thoughtful and grntle

Answer:

B

Step-by-step explanation:

Vain is defined as having a high opinion of oneself.

Conceited is a synonym for vain.

Find the inverse of the following functions (a) y = ln(3x + 7)​

Answers

Answer:

[tex]y = ln(3x + 7) [/tex]

let inverse be m :

[tex]m = ln(3x + 7 ) \\ {e}^{m} = 3x + 7 \\ {e}^{m} - 7 = 3x \\ \\ x = \frac{ {e}^{m} - 7 }{3} [/tex]

subsitute m with x :

[tex]{ \boxed{ \boxed{ {y}^{ - 1} = \frac{ {e}^{x} - 7 }{3} }}}[/tex]

NEED HELP ASAP FIND X AND Z PLEASE I WILL MARK BRAINLIEST ALSO INCLUDE WORK!

Answers

Answer:

The value of x is 3 and z is 115.

Whoever answers this right gets brainlist

Answers

Answer:

One way to solve this is:

Step-by-step explanation:

count the first vertical row of the duckies then the horizontal row, multiply them then add the last three duckies

Answer:

1: 4x4+3    2: 5x3+4   3: 3x5+4

Step-by-step explanation:

...

which best describes the relationship between the successive terms in the sequence below?

Answers

Answer:

You haven't displayed the full question

Write 2.3181818... as a mixed number.

Answers

Answer: 2 1590909/ 5000000

Where do you put the commas in 200000000000000000000

Answers

Answer:

Step-by-step explanation:

200,000,000,000,000,000,000

your welocome

Answer:

200,000,000,000,000,000,000

Step-by-step explanation:

What you do is instead of starting from the left you start from the right and after every three digits you add a comma.

I hope this helped!!

Mack beat his opponent by
SEVEn points in a game which
ends when a total of
101 points have been scored.
How many point did Mark
have​

Answers

Answer:

94

Step-by-step explanation:

When a player reaches 101 points, they win. So that means that Mack reached 101 points. Since his opponent was seven points behind, we can subtract 7 from 101 to find Mark's, that is Mack's opponent's, score:

[tex]101-7=94[/tex]

Therefore, we can safely conjecture that Mark scored 94 points.

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