Given the function defined in the table below, find the average rate of change, in simplest form, or the function over the interval 20
Answers
Answer:
Average rate of change = 0.4
Step-by-step explanation:
Average rate of change of a function in the interval [a, b] is defined by the formula,
Rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
From the table attached,
Rate of change of the function in the interval 20 ≤ x ≤ 40 will be
= [tex]\frac{f(40)-f(20)}{40-20}[/tex]
= [tex]\frac{24-16}{40-20}[/tex]
= [tex]\frac{8}{20}[/tex]
= [tex]\frac{2}{5}[/tex]
= 0.4
Therefore, average rate change of the function in the given interval 20 ≤ x ≤ 40 is = 0.4
Related Questions
Can someone help me ASAP plz?
Answers
Answer:
Answer is H. 9
Step-by-step explanation:
10/6 = 15/blank
6 x 15 = 90
90 / 10 = 9
its a weird formula but i hope i helped
Nick and Adam workout together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is losing about 2 pounds each week. Write an equation that can be used to find the number of weeks that it will take them to weigh the same amount.
a. Equation:
b. Solution:
c. How much will Nick and Adam weigh?:
Answers
Answer: 160+(W x 3)=195-(W x 2)
Step-by-step explanation:
I'm not 100% sure this is right but it should be!
f(x) = 3(0.09)X6
11. (04.05 LC)
When the function f(x)
3(5)X is changed to f(x) = 3(5)* + 22, what is the effect? (5 points)
There will be no change to the graph because the exponential portion of the function remain
The y-intercept is 22 spaces higher.
Answers
Answer: The y-intercept is 22 spaces higher.
Step-by-step explanation: Given function is .
And transformed function equation .
We can see 22 is being added to the given function f(x) to get the transformed function.
Note: According to transformation rule, y = f(x) +k shift k units up.
22 is being added to the original function. So, function would shift 22 units up that is y-intercept is 22 spaces higher.
Therefore , correct option is : The y-intercept is 22 spaces higher.
Answer:
the y-intercept is 22 spaces higher.
Step-by-step explanation:
Since f(x) = y, when f(x) is increased 22 spaces, it goes upward on the y-axis 22 spaces.
I hope this helps!
A drawer contains 23 black socks comma 23 white socks comma and 23 blue socks23 black socks, 23 white socks, and 23 blue socks. If the light is off and Matt reaches into the drawer to get his socks, what is the minimum number of socks he must pull out in order to be sure that he has a matching pair?
Answers
Answer:
1/3 × 6 = 2
Step-by-step explanation:
Probability of picking out a color is
23/138 + 23/138 = 46/138 = 23/69 = 1/3
Which is a possible leading term for the graph
shown?
2x^3 -2x^3 2x^4 -2x^4
Answers
Answer:First answer 2x^4. Second answer + and +
Step-by-step explanation:
Just did it on edge
Answer:
C
Step-by-step explanation:
I’m smart
Explain the difference between a Polynomial and a Monomial, and how do you add/subtract and multiply and factoring them?
Answers
Answer:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
Step-by-step explanation:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
Solve for x. Round your answer to the nearest tenth if necessary.
Answers
Answer: 13.56
Step-by-step explanation:
Pythagorean theorem says base^2 + perpendicular ^2 = hypotenuse^2
So base^2 + 21^2 = 25^2
Or 25^2 - 21^2 = base^2 = 184
Base = root 184 or 13.56
Rewrite 2/5:1/20 as a unit rate
Answers
Answer:
8:1
Step-by-step explanation:
yes .
John ate 40% of the candies in a bag. If John ate 20 candies , how many candies were total in the bag ?
Answers
Answer:
50
Step-by-step explanation:
There are 50 candies in the bag.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
John ate 40% of the candies in a bag.
If John ate 20 candies.
let the total number of Candies be x.
So, 40% of x = 20
40/ 100 x = 20
x = 2000/ 40
x= 50
Hence, there are total 50 Cadies.
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ2
which line slope has 1
Answers
Answer:
T has a slop of 1
Step-by-step explanation:
hope this helps brainliest pls
Answer:
The black line
Step-by-step explanation:
It goes up a box in one other box (kind of hard to explain)
The sum of 6 times a number and 8 is 3.
Answers
Answer:
8 times 3 plus 6
Step-by-step explanation:
PLEASE HELP I WILL BRAINLIEST, MY GPA RELIES ON THIS!! IM BEGGING HERE
1. The base of the prism is a trapezoid whose bases are 24 cm and 10 cm, and the shorter ones are 13 cm and 15 cm. Calculate the area and volume of the prism if its height is equal to the height of the trapezoid?
Answers
Step-by-step explanation:
it's so much work, here's the first half untill i do the rest
i added the rest, i hope i helped somehow good luck!! :)
Aretha Foster, single, is marketing director for
The Canterbury Community, a senior living center. She is paid
a weekly salary of $735.00. If her weekly federal income tax
withholding is $66.84, find the number of withholding allowances
she claims if the tax is computed using the percentage method.
Answers
Answer:
11.14 brailiest please
Step-by-step explanation:
Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent A number line going from negative 2 to positive 1. Which values could correctly fill in the blank? Select all that apply.
Answers
Answer:
10%
-0.1
1/4
Step-by-step explanation:
Complete question
Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent A number line going from negative 2 to positive 1. Which values could correctly fill in the blank? Select all that apply. 10% 1 -0.1 -1 One-fourth
step-by-step explanation
On the number line, numbers increase from left to right.
The blank is between -0.2 and 1/2.
Only numbers greater than -0.2 and less than 1/2 can fill the blank.
Range = -0.2<x<1/2
From the values given,
1) 10% = 10/100 = 1/10 = 0.1
-0.2<0.1<1/2
2) -0.2<1
But, 1>1/2
3) -0.2<-0.1<1/2
4) -0.2>-1
5) -0.2<1/4<1/2
Therefore, only 10%, -0.1, and 1/4 can fill in the blank correctly because they satisfy the range -0.2<x<1/2
Answer:
A
C
E
THE ANSWER BOIIIIIIIIIIIIIIIIIIIIIII!
Step-by-step explanation:
HELP!! It’s due today
Answers
Answer:
B. 1 horse per 20 pounds hay
C. YEs, an equation that can represent this is y=20x where x is the number of horses and y is the hay. Because i can make an equation that works for any value in this table, it is proportional.
Step-by-step explanation:
Answer: a) 1 2 3 4 5 6 7
20 40 60 80 100 120 140
b) 20 pounds of hay/horse
c) Yes. An increase in 1 horse results to an equivalent increase of 20 pounds of hay.
Step-by-step explanation:
What two consecutive odd integers have a sum of 88?
Answers
Answer:
What two consecutive odd integers have a sum of 88? x + x + 2 = 88 • 2x + 2 = 88 • 2x = 86 • x = 43, x + 2 = 45 • 43 + 45 = 88 • Ans: 43, 45 • They equal 88 and are both odd.
Jack is buying threats for how cats. He wants to buy some greens, which cost $4.95 a bag. He also wants to buy beef bites, which cost $3.50 a bag. White an equation that models treats purchased by Jack when he spends $21.85
Answers
X represents the greens
Y represents the greens
Julie made 25 international long-distance phone calls to London last month. The scatterplot below shows the length and cost of each phone call she made. Which conclusion is best supported by the scatterplot? As the length of a call increases, the cost of the call remains the same. As the length of a call increases, the cost of the call increases. There is no relationship between the length of a call and the cost of a call. As the length of a call increases, the cost of the call decreases.
Answers
Answer:
There is no relationship between the length of a call and the cost of a call.
Step-by-step explanation:
If we consider the scatter plot, we will discover that there is no identifiable relationship between the cost of calls and the length of calls.
We can't see any increases or decrease of call cost with call length from the plot. Hence, there is no relationship between the length of a call and the cost of a call.
the vector to fully describe the single transformation which takes triangle A to triangle
Answers
Answer:
The translation vector from A to B is (-4,6)
Step-by-step explanation:
A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another.
All the vertices of the figure are translated by the same vector, and the resulting figure is shifted horizontally and vertically.
The vertices of triangle A are:
(3,-1) (1,-4) (3,-4)
The corresponding vertices of triangle B are:
(-1,5) (-3,2) (-1,2)
Subtracting the vertices of B from vertices of A:
(-4,6) (-4,6) (-4,6)
Note they are result in the same translation vector, thus:
The translation vector from A to B is (-4,6)
For u ppl doing the challenges here u go!
Answers
Answer:
ily <3
Step-by-step explanation:
Which of these equations is NOT true?
A) 2(a + b) = a +b+a+b
C) (t-4) +6=t-10
B) 3y + 4y = 7y
D) x(5 + 9) - x = 13x
Answers
Answer:
C) (t-4) + 6=t-10
Step-by-step explanation:
2(a+b)= a+b+a+b
2(a+b)= 2a+b+b
2(a+b)=2a+2b
2(a+b) = 2(a+b)✅
(t-4)+6=t-10
t+2=t-10❌
3y+4y=7y
7y=7y✅
x(5+9)-x=13x
x(14)-x=13x
14x-x=13x
13x=13x ✅
The middle school band has a boy to girl ratio of 4:6 the band had 20 members last year and 25 members this year. How many girls and how many boys are in the band of these two years :'p
Answers
Answer:
um i believe its 20 boys and 24 girls
Step-by-step explanation:
Answer:
20 boys 24 girls
Step-by-step explanation:
that is the answer
which of the following is an important step in the formation of a fossil
a.) the organism must be a reptile
b.) the organism must be buried quickly
c.) the organism must die of natural cause
d.) the organism must not have any fur
Answers
Answer:
b
Step-by-step explanation:
After a bone, wood fragment, or shell is buried in sediment, it may be exposed to mineral-rich water that moves through the sediment. This water will deposit minerals into empty spaces, producing a fossil. Fossil dinosaur bones, petrified wood, and many marine fossils were formed by permineralization.
Answer: fossils can be formed only when a living thing is buried soon after it dies. If it is not buried soon enough, it decays. For this reason, most fossils are found in sedimentary rocks that were once under water.
Step-by-step explanation:
Which value shows the constant of proportionality for the equation y = 15x?
y
15
x
15x
Answers
Answer:
Step-by-step explanation:
15x because its not multiplying or dividing or adding and subtracting
3. The variance of a set of positive numbers p.(p-5).(p-2), (p-3) (2p-5)is 5.84.
(a) Calculate the value of p.
Answers
Answer:
(a) p = 7
Step-by-step explanation:
The given parameters are;
p, (p - 5), (p - 2), (p - 3), and (2·p - 5) is 5.84
(a) Therefore we have;
The mean of the numbers = (p + (p - 5) + (p - 2) + (p - 3) + (2·p - 5))/5 = (6·p - 15)/5
The mean of the numbers = (6·p - 15)/5 = 6/5·p - 3
Using an online tool, we have;
The variance = (p - (6/5·p - 3))² + ((p - 5) - (6/5·p - 3))² + ((p - 2) - (6/5·p - 3))² + ((p - 3) - (6/5·p - 3))² + ((2·p - 5) - (6/5·p - 3))²/5 = 4/25·p² - 4/5·p + 18/5 = 5.84
Therefore, we have;
4/25·p² - 4/5·p + 18/5 = 5.84
4/25·p² - 4/5·p + 18/5 - 5.84 = 0
4/25·p² - 4/5·p - 2.24 = 0
Using the quadratic formula, we have;
p = (4/5 ± √((4/5)² - 4× 4/25×(-2.24)))/(2 × 4/25)
Which gives;
p = 7, or p = -2
Given that the numbers are positive, we have the only solution as p = 7
Nadia finds out her favorite horse family population is increasing at a constant rate. The horse family was at 24 in 2011 and is currently at 32 in 2014. Find an equation in point slope form that models the population growth and predict the number of horses in 2020.
Answers
Answer:
The equation is p = (8/3) t + 24
In 2020, we will have about 48 horses.
Step-by-step explanation:
In 3 years the family increased by 32 - 24 = 8.
So the constant of proportionality = 8/3.
The required equation is p = (8/3)tx + 24
where p = the population and t is the number of years after 2011.
So in 2020 we can predict that in 2020 the number of horses
= (8/3) * 9 + 24
= 72/3 + 24
= 24 + 24
= 48.
last season, your favorite basketball team won 20 games. So far this season, your favorite basketball team has won 31 games. What is the percent change in the number of games that your favorite team won from last season to this season?
Answers
Answer:
There is a 55% increase in the number of games.
Step-by-step explanation:
Step 1: Calculate the change (subtract old value from the new value)
Step 2: Divide that change by the old value (you will get a decimal number)
Step 3: Convert that to a percentage (by multiplying by 100 and adding a % sign)
Answer:
20=100%
31=x
31*100/20=155%
Step-by-step explanation:
In which of the following functions would it be appropriate to use only positive integers for the domain? Select all that apply.
1.The function c(p) represents the cost for (p) people to attend the movies.
2.The function m(t) represents the miles driven over t hours.
3.The function t(m) represents the average high temperature for a given number of months.
4.The function p(w) represents the profit of a farmer who sells (w) whole watermelons.
5.The function h(n) represents the number of person-hours it takes to assemble (n) engines in a factory.
Answers
Answer:
2-The function m(t)represents the miles driven over t hours.
The following would be appropriate for integers. That means that we don't have any decimals or fractions.
The number of people attending a movie, there are no half people.
The number of watermelons sold by farmers, they don't grow half watermelons.
Hope this helps
1. What must be added to -3/8 to get 5/16 ?
pls need ANS. FAST
Answers
Make them big common denominator
5/16 + 6/16 = 11/16
Answer: 11/16
Step-by-step explanation:
-3/8 = -6/16
5/16 - (-6/16) = 11/16
You need to add -3/8 with 11/16 to get 5/16
find exact value for cos( theta) if sin(theta)=0.25 , 90
Answers
Answer:
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Step-by-step explanation: