In order for the function to be linear, what must a be and why?
a = 22 because the rate of change is 1.
a = 20 because the rate of change is 3.
a = 22 because the rate of change is –1.
a = 20 because the rate of change is –3.
Answers
For the function to be a linear, D. a = 20 because the rate of change is –3.
What is the Rate of Change of a Function?The rate of change = change in y / change in x.
Therefore, for the function to be linear, the rate of change must be the same across the table of values.
Using, (4, 26) and (5, 23):
Rate of change = (26 - 23)/(4 - 5)
Rate of change = (3)/(1) = -3
Using (5, 23) and (6, a), we have:
(23 - a)/(5 - 6) = -3
(23 - a)/(-1) = -3
23 - a = (-3)(-1)
23 - a = 3
-a = 3 - 23
-a = -20
a = 20
Therefore, the answer is: D. a = 20 because the rate of change is –3.
Learn more about the rate of change on:
https://brainly.com/question/8728504
#SPJ1
Related Questions
help me please please please i need it
Answers
Answer:
Step-by-step explanation:
Remark
If you take one radius whose length is r and start it at (0,0) on one end and (r,0) at the other, and sweep it around so the (r,0) hits every point on the circumference of the circle, the radius will go through 360°.
You have only gone through 120°. That's no problem. All you have to do now is add a fraction that adjusts for the 120°.
Formula
Arc length = fraction * 2*pi * r
2*pi * r is the circumference
Arc Length = 2* (120/360) * pi * r
Givens
r = 13
pi = 3.14
Solution
Arc Length = (120/360) * 2 * pi * 13
Arc Length = 27.21
Answer
Arc Length = 27.21
The subtraction of rational numbers is _________
Answers
Answer:
The Answer would be associative and commutative
Step-by-step explanation:
don't really have a explanation just remember this from a question of a quiz I took
Please help!!! Which of the following expand (x + y)^5 using Pascal’s Triangle?
Answers
Answer:
[tex] {x}^{5} + 5 {x}^{4} y + 10 {x}^{3} {y}^{2} + 10 {x}^{2} {y}^{3} + 5x {y}^{4} + {y}^{5} [/tex]
Determine the
period.
Answers
Explanation:
There are a few ways to measure the period. One way is to measure the horizontal distance from peak to peak.
The left peak occurs at x = 1
The right peak occurs at x = 17
This is a horizontal distance of 17-1 = 16 units.
Therefore, the period is 16. The curve repeats itself every 16 units.
I NEED HELP ASAP
Identify the x value of the solution to the system of equations.
x – 4y = 1
6x + 4y = 20
Answers
Answer:
1x + 4y = 4 ⇒ 6x + 24y = 24
6x - 8y = 0 ⇒ 6x - 8y = 0
32y = 24
32 32
y = 3/4
x + 4(3/4) = 4
x + 3 = 4
-3 -3
x = 1
(x, y) = (1, 3/4)
Step-by-step explanation:
up there :D
On a certain hot summers day 339 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admissions totaled $750.50. How many children and how many adults swam at the public pool that day?
Answers
Answer:
the number of children = 156
the number of adults = 183
Step-by-step explanation:
let x be the number of children
y be the number of adults
We have to solve this system:
[tex]\begin{cases}x+y=339&\\ 1.75x + 2.50y = 730.50&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=339-x&\\ 1.75x + 2.50(339-x) = 730.50&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=339-x&\\ -0.75x + 847.5 = 730.50&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=339-x&\\ -0.75x =-117&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=339-156=183&\\ x =156&\end{cases}[/tex]
What is the sum of the polynomials? (–x2 9) (–3x2 – 11x 4) –4x2 – 2x 4 –4x2 – 11x 13 2x2 20x 4 2x2 11x 5
Answers
The sum of the polynomials x^2 + 9 and -3x^2 - 11x^4 - 4 is - 11x^4 -2x^2 + 5
How to determine the sum?The polynomials are given as:
x^2 + 9
-3x^2 - 11x^4 - 4
The sum is represented as:
x^2 + 9 -3x^2 - 11x^4 - 4
Collect like terms
- 11x^4 -3x^2 + x^2 + 9 - 4
Evaluate the sum
- 11x^4 -2x^2 + 5
Hence, the sum of the polynomials is - 11x^4 -2x^2 + 5
Read more about polynomials at:
https://brainly.com/question/2833285
#SPJ4
Help me please
Trina invests $ 16000 at a rate of 5% per year interest. Work out the value of her investment at the end of a year.
Answers
Answer:
$ 16800
Step-by-step explanation:
Simple Interest Value = Principal × Interest Rate × Time
0.05 × 16000 × 1 = $ 800
(Money invested + Interest = Total money in the account)
16000 + 800 = 16800
Trivia's Bank account will have $16800 at the end of one year.
A square table has a perimeter of 20 feet. What is its area?
Answers
Answer:
25 feet squared :)
Step-by-step explanation:
20/4 = 5
5^2 = 25
Goblin gryh can count the coins in a bag in 10 minutes. of goblin Birt counts with him, they can count all the coins in 6 minutes. How long would it take goblin Birt to count the coins in the bag by himself?
Answers
Answer:
pagpalit og pandesal og kopiko didto sa bakery
Goblin Birt can take 15 minutes to count the coins in the bag by himself.
What is unitary mehtod?The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.
How to calculate how long would it take goblin Birt to count the coins in the bag by himself ?In this problem, unitary method is to be applied three times.Here, counting all the coins is considered as the entire work which is considered as 1.According to the problem,
Goblin gryh can count the coins in a bag in 10 minutes.∴ In 10 minutes Goblin gryh can count the coins in the bag.
∴ In 1 minute Goblin gryh can count [tex]\frac{1}{10}[/tex] th part of the coins in the bag.
Again, according to the problem,
Goblin gryh and Goblin Birt both can count all the coins in 6 minutes.∴ In 6 minutes, Goblin gryh and Goblin Birt both can count all the coins in the bag
∴ In 1 minute, Goblin gryh and goblin Birt both can count [tex]\frac{1}{6}[/tex] th part of the coins in the bag.
∴ In 1 minute, Goblin Birt can count [tex](\frac{1}{6} - \frac{1}{10})[/tex] th part of the coins in the bag.
= [tex]\frac{5-3}{30} = \frac{2}{30} = \frac{1}{15}[/tex] th part of the coins.
∴ We can say,
Goblin Birt can count [tex]\frac{1}{15}[/tex] th part of the coins in the bag in 1 minute.
∴ Goblin Birt himself can count all the coins in the bag in 15 minutes.
Find out more information about calculation by unitary method here:
https://brainly.com/question/24587372
#SPJ2
Write a linear equation to represent the sequence 3, 7, 11, 15, ....
show how you got ur answer so I can see if it Makes sense!
Answers
Answer:
Linear equation : 4n - 1
Step-by-step explanation:
4 x (1) - 1 = 3
4 x ( 2) - 1 = 7
4 x (3) - 1 = 11
4 x (4 ) - 1 = 15
And so on
A statement and portions of the flowchart proof of the statement are shown.
Which reason should appear in the box labeled 1?
Angle Addition Postulate
Angle Congruence Postulate
Ruler Postulate
Linear Pair Postulate
Flow chart proof. Given measure of angle B A C is 20 degrees and measure of angle C A D is 15 degrees. Prove the measure of angle B A D is 35 degrees. Given image shows acute triangle A B D. Point C is on side B D with point C slightly closer to point D. Segment A C drawn. Flow chart consisting of 4 rows of horizontal text boxes. A horizontal line segment joins the midpoints of each of the vertical sides of each of the text boxes effectively subdividing each text box into an upper box and lower box. In row 1 there is 1 textbox. In the upper half of the box is the equation the measure of angle B A D equals the measure of angle B A C plus the measure of angle C A D. In the lower half of the box is the number 1 in a smaller box. In row 2 there are 2 text boxes. In the upper half of the box on the left is the equation the measure of angle B A C equals 20 degrees. In the lower half of the box is the word Given. In the upper half of the box on the right is the equation the measure of angle C A D is 15 degrees. In the lower half of the box is the word Given. In row 3 there is 1 text box. In the upper half of the box is the equation the measure of angle B A D equals 20 degrees plus 15 degrees. In the lower half of the box is the phrase Substitution Property of Equality. In row 4 there is 1 text box. In the upper half of the box is the equation the measure of angle B A D equals 35 degrees. In the lower half of the box is the word Simplify. A ray is drawn from the text box in row 1 to the text box in row 3. A ray is drawn from each of the text boxes in row 2 to the text box in row 3. A ray is drawn from the text box in row 3 to the text box in row 4.
Answers
Answer:
Ruler Postulate
Step-by-step explanation:
In box 1, the reason that justifies the statement, m∠BAD = m∠BAC + m∠CAD, is: angle addition postulate.
What is the Angle Addition Postulate?The angle addition postulate states that the measure of a larger angle equals the sum of smaller angles that make up the larger angle.
∠BAD comprises of ∠BAC and ∠CAD.
Therefore, based on the angle addition postulate, m∠BAD = m∠BAC + m∠CAD.
The missing reason in box 1 would be: angle addition postulate.
Learn more about angle addition postulate on:
https://brainly.com/question/24782727
#SPJ5
15) Find the coordinates of the vertices of the triangle and compute the area of the triangle using the distance formula (round to the nearest integer in units,
A) 10 units?
B) 21 units
C) 23 units
D) 36 units
Answers
5.11.6 - Portfolio Item: Fireworks Display Portfolio
CONNEXUS ONLINE SCHOOL
Answers
Portfolio items are assessments that entails students submitting documentation which are made up of compositions, lab reports, essays, book reports for their teachers and used for their grading.
What is the ways to submit Portfolio and sample work items?This can be done via:
Dropbox Items Mail-in ItemsNote that Typically, portfolio and sample work assessments are often submitted online using the use of the two means above such as Dropbox.
Note also that the Dropbox is said to be a feature that gives room for students to upload files from their system to Connexus School for teacher to be able to review and grade them.
Learn more about Portfolio from
https://brainly.com/question/24811520
#SPJ1
Answer:
I hope I'm not too late. I did this assignment, and got 100%. But I recommend using Quillbot to paraphrase, and Prepostseo to check for plagiarism.
Step-by-step explanation:
PDF ATTACHED
Help me find the media, mode and the mean look at the photo and solve the puzzle
Answers
Answer: See below.
Good Luck! I hope this helps!
Step-by-step explanation:
1) Find the Mean of 7 18 9 22 4.
7 + 18 + 9 + 22 + 4 = 50
50 ÷ 5 = 10
2) Find the Median of 7 18 9 22 4.
4 7 9 18 22
The Median is 9.
3) Find the Mean of 7 3 7 4 8 9 2.
7 + 3 + 7 + 4 + 8 + 9 + 2 = 40
40 ÷ 7 = 5.7
4) Find the Median of 7 3 7 4 8 9 2.
2 3 4 7 7 8 9
The Median is 7.
5) Find the Mode of 7 3 7 4 8 9 2.
Mode is the number that occurs the most.
2 3 4 7 7 8 9
The Mode is 7.
6) Find the Median of 6 10 23 24 13 9 23 12.
6 9 10 12 13 22 23 24
There are 8 numbers in this set of numbers, so the Median is the average of the two numbers in the middle. So, [tex]\frac{(12+13)}{2} = \frac{25}{2} = 12.5[/tex]
The Median is 12.5.
7) Find the Mean of 6 10 23 24 13 9 23 12.
6 + 10 + 23 + 24 + 13 + 9 + 23 + 12 = 120
120 ÷ 8 = 15
The Mean is 15.
8) Find the Median of 120 113 101 101 112.
101 101 112 113 120
The Median is 112.
9) Find the Mean of 73 72 72 98 99 96 98 98 73.
73 + 72 + 72 + 98 + 99 + 96 + 98 + 98 + 73 = 779
779 ÷ 9 = 86.6.
10) Find the Mode of 73 72 72 98 99 96 98 98 73.
72 72 73 73 96 98 98 98 99
The Mode is 98.
11) Find the Mode of 6 10 23 24 22 9 23 13.
6 9 10 13 22 23 23 24
The Mode is 23.
12) Find the Median of 73 72 72 98 99 96 98 98 73.
72 72 73 73 96 98 98 98 99
The Median is 96.
13) Find the Median of 12 22 26 15 18 22 29 11 22 18.
11 12 15 18 18 22 22 22 26 29
There are 10 numbers in this set of numbers, so the Median is the average of the two numbers in the middle. So, [tex]\frac{(18+22)}{2} = \frac{40}{2} = 20[/tex]
The Median is 20.
THE END! Yay!pls help
6 in
5 in
Volume=
Answers
Step-by-step explanation:
Volume of cylinder = π.r^2.h
h = 5 inch, r = 6 inch, π = 3.14
==> Volume = (3.14)×(6×6)×(5)
==> Volume = 565.2 inch^3
Hence the volume of cylinder is 565.2 cubic inches.
I need help pleaseee
Answers
Answer:
P= (3x-1)+(x+2)+(3x^2-11x)+(x^2-3x)
= 4x^2-10x+1
Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.315. Find the probability that in a given year it will not snow on January 1st in that tow
Answers
The probability that in a given year it will not snow on January 1st will be P = 0.915.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Since the total probability is always equal to 1 if the probability of happening of an event is given then the probability of not happening of an event will be determined by subtracting it from one.
The probability of not any snowfall will be calculated as:-
P = 1 - 0.315
P = 0.615
Therefore the probability that in a given year it will not snow on January 1st will be P = 0.915.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ1
what is the second step to solving this equation 9x -23 = 49 A subtract 23 from both sides. B multiply both sides by nine. C divide both sides by nine. D Add 23 to both sides.
Answers
Answer:
C- divided both sides by 9
Step-by-step explanation:
[tex]9x - 23 = 49[/tex]
[tex] 9x = 72[/tex]
[tex]x = 8[/tex]
What fraction of 2.4 litres is 400 ml?
Answers
Answer:
1\5 of 2 litres is 400 ml.
Step-by-step explanation:
Hope this helps!!!
-16-20÷4+9
easy math, pls answer
Answers
Answer:
it should be -12
Step-by-step explanation:
I looked it up and started to work it out use PEMDAS
A person has 7 songs to choose from and will perform 3. How many different ways can they do this?
Answers
Answer:
They can chose the best song out or used others opinion.
Step-by-step explanation:
Write the product using exponents
Answers
The product of the expression [tex]\frac{2}{3} *\frac{2}{3}*\frac{2}{3}*\frac{2}{3}[/tex] is [tex](\frac{2}{3})^{4}[/tex] or [tex]\frac{16}{81}[/tex].
What are exponents and powers?Power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.
Given expression is : [tex]\frac{2}{3} *\frac{2}{3}*\frac{2}{3}*\frac{2}{3}[/tex]
=[tex]\frac{2^{4}}{3^{4}}[/tex]
= [tex](\frac{2}{3})^{4}[/tex] [[tex]\frac{a^{4}}{b^{4}} = (\frac{a}{b} )^{4}[/tex]]
=[tex]\frac{16}{81}[/tex]
Hence, [tex]\frac{2}{3} *\frac{2}{3}*\frac{2}{3}*\frac{2}{3}[/tex] = [tex](\frac{2}{3})^{4}[/tex]
Learn more about exponents and powers here:
https://brainly.com/question/15722035
#SPJ1
The length of one side of an ice cube is 2.5 cm. Calculate the volume of the ice cube.
Answers
Answer:
15.63 cm^3
Step-by-step explanation:
Assuming that the ice cube is a perfect cube, then all of the sides are equal. There for, each side is 2.5 cm.
v = l*w*h
v = 2.5 * 2.5 * 2.5
v = 6.25 * 2.5
v = 15.625 cm^3
Which picture shows a distance of 2/6 from point A to point B?
Answers
The correct choice for this question is Option B
can you pls help me, i need it
Answers
according to the topic
5000+1400+1700+2200-5000×80%+1200
=55300-4000+1200
=$52500
Thus we choose option B
B.$52,500
Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below:
Which information is not provided in the histogram?
The total number of students who collected bottles
The number of students who collected exactly 9 bottles
The number of students who collected 3 or fewer bottles
The total number of students who collected 7 or fewer bottles
Answers
Answer:
The number of students who collected exactly 9 bottles.
Step-by-step explanation:
The given histogram shows the number of students who participated in the recyling drive & their old bottle waste collection.
We can find out the total number of students who participated just by looking at the histogram (students = 10), the number of students who colected bottles below 7 or 3 bottles etc.
But since the number of bottles is given in the form of grouped data, one cannot infer the exact number of bottles collected by students.
Hence, out of the given statements, 'The number of students who collected exactly 9 bottles' is the incorrect one.
[tex]\rule{150pt}{2pt}[/tex]
Give an example of a binomial of degree 27
Answers
Answer:
x27 + y.
Step-by-step explanation:
Binomial means having 2 terms so binomial of degree 27 is x^27 + y type.
For example,
x^27+y+2
If there are 2 degree terms of x, degree of the one having highest degree is taken.
For example,
In x^27+x^10
As highest degree is 27, this is a binomial of degree 27.
Beatrice has $0.28 in her pocket. what is the percent that she has
Answers
Answer:
she has 28% of a dolar in her pocket
Step-by-step explanation:
These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
40
45
H
Town B
2
35 40
45 48
Н
0
5
10
15
20
45 50
55 60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the centers?
A. The median temperature for both towns is 40°.
B. The median for town A, 30°, is less than the median for town B,
40°.
C. The mean for town A, 30°, is less than the mean for town B, 40°.
D. The median for town A, 15°, is greater than the median for town B,
2º.
Answers
The statement (B) "The median for town A, 30°, is less than the median for town B, 40 degree" is correct.
What is the box and whisker plot?
A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
From the data given:
For town A and Town B
As we can see in the box plot
The median for town A = 30 degree
Median for town B = 40 degree
The median for the town, A < Median for town B
Thus, the statement (B) “The median for town A, 30°, is less than the median for town B, 40 degree” is correct.
Learn more about the box and whisker plot here:
brainly.com/question/3209282
#SPJ1
