Answers
Answer:
Table c
Step-by-step explanation:
Required:
Which of the 4 has the greatest rate of change
For Graph (A):
We start by picking any two equivalent points on the table:
[tex](x_1,y_1) = (0,1)[/tex]
[tex](x_2,y_2) = (2,5)[/tex]
Next, we determine the slope, m:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5-1}{2-0}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m = 2[/tex]
This represents the rate of change:
For (B): [tex]y = 3x + 7[/tex]
An equation is of the form:
[tex]y = mx + b[/tex]
Where
m represents slope or rate of change:
By comparison:
[tex]m = 3[/tex]
For table (C):
We start by picking any two equivalent points on the table:
[tex](x_1,y_1) = (1,7)[/tex]
[tex](x_2,y_2) = (2,12)[/tex]
Next, we determine the slope, m:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12-7}{2-1}[/tex]
[tex]m = \frac{5}{1}[/tex]
[tex]m = 5[/tex]
This represents the rate of change:
For (D):
The $1.00 paid every week represents the rate of change.
So:
[tex]m = 1[/tex]
For A - D:
The rate of change are:
[tex]A = 2[/tex]
[tex]B = 3[/tex]
[tex]C = 5[/tex]
[tex]D = 1[/tex]
5 is the greatest.
Hence, (c) has the greatest rate of change
Related Questions
3. Sam and Tim each have savings accounts. Every month they each put in some of their
earnings from mowing lawns. Use the tables to find the y-value of the solution to the
system shown.
х
1
2
3
4
f(x)
80
110
140
170
х
1
2
3
4
g(x)
100
120
140
160
Answers
Answer:
[tex]y = 30x +50[/tex] --- Sam
[tex]y = 20x +80[/tex] --- Tim
Step-by-step explanation:
Given
Sam Tim
х --- f(x) --------------- g(x)
1 --- 80 --------------- 100
2 --- 110 --------------- 120
3 --- 140 --------------- 140
4 --- 170 -------------- 160
Required
Determine the y value
y value implies the equation of the table
Calculating the equation of Sam
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,80)[/tex]
[tex](x_2,y_2) = (4,170)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{170 - 80}{4 - 1}[/tex]
[tex]m = \frac{90}{3}[/tex]
[tex]m = 30[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 80 = 30(x - 1)[/tex]
[tex]y - 80 = 30x - 30[/tex]
Make y the subject
[tex]y = 30x - 30 + 80[/tex]
[tex]y = 30x +50[/tex]
Calculating the equation of Tim
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,100)[/tex]
[tex](x_2,y_2) = (4,160)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{160 - 100}{4 - 1}[/tex]
[tex]m = \frac{60}{3}[/tex]
[tex]m = 20[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 100 = 20(x - 1)[/tex]
[tex]y - 100 = 20x - 20[/tex]
Make y the subject
[tex]y = 20x - 20+100[/tex]
[tex]y = 20x +80[/tex]
What’s 4/5 divided by 3
Answers
Answer:
[tex]\frac{4}{15}[/tex]
Step-by-step explanation:
remember when dividing with fractions, you are multiplying by the reciprocal.
this means
[tex]\frac{4}{5} \div3=\frac{4}{5}*\frac{1}{3}=\frac{4}{15}[/tex]
Answer:
the answer is 0.26 it was originally 0.26666666666 which is repetition so I lowered it down to .26
Find the slope of the line (-4,4) (-3,-2)
Answers
PLEASEE HELP ITS DUE TODAY
Answers
Answer:
43.44 for the first one
16 cats from the second one
496 for the third one
Step-by-step explanation:
Answer:
a. 43.44
b. 16
c. 496
Step-by-step explanation:
a. (14.48) x 3= 43.44
b. 25% of 64= 16
c. 31 x 16= 496
Cliff's Rentals rents out jet skis. The hourly charge is $50. Marcus rented a jet ski for 3 hours and paid $165.
Which equation can be used to determine the price, P, for h hours? Pls help me
Answers
Answer:
50h + 3 = 165P
Step-by-step explanation:
Work out the problem -5-8
Answers
-13
Answer:
since 5+8 is 13 and there's a '-' in the five than it's-13
If 6a=5b what are the following ratios?Please show your work
a+b/b
I give brainliest to first person.
Answers
Answer:
5b-5
Step-by-step explanation:
Replace a with a=5/6 * b
kevin has a ratio of 2 wrong answers to 7 correct answers on his math test. If he got 6 questions ewrong then how many did he answr correctly
Answers
Answer:
21 questions
Step-by-step explanation:
Given
[tex]Wrong : Right = 2:7[/tex]
Required
Determine the number of correct answers if he answered 6 wrongly
The required ratio can be represented as:
[tex]Wrong : Right = 6 : X[/tex]
Where X represents number of right answers for 6 wrong answers.
Next, we equate both ratios:
[tex]6:X = 2:7[/tex]
Convert to fraction
[tex]\frac{6}{X} = \frac{2}{7}[/tex]
Cross Multiply
[tex]X * 2 = 6 * 7[/tex]
[tex]2X = 42[/tex]
Divide through by 2
[tex]X = 21[/tex]
Hence, he answered 21 correctly
Helpppppppppp NEED THIS ASAP!!!!!!!!!
Answers
Answer:
$230
Step-by-step explanation:
hope this helped, im sorry if im wrong too
Ingrid collect 6 cans of food and 18 boxes of food for the food bank.Which describes the relationship between cans of food and boxes of food
Answers
Answer:
Ingrid collected 3 times as many boxes as she did cans
Step-by-step explanation:
Evaluate
Please help
Answers
Answer:
27
Step-by-step explanation:
3x3x3=9; if you break it apart, 3x3= 9, then multiply that by the last 3, which will give you 27.
Hope that helped!
What is the origin and where is it located?
Answers
Answer:
the origin is where the graph starts which is located at 0,0
Step-by-step explanation:
Easy points
Before you answer this question try and rotate your foot clockwise and write the number six. Hard right.
Math question now.
When I am 6 my brother is half my age. How old will my brother be when I am 70?
Answers
Answer:
35
Step-by-step explanation:
*I'm just gonna answer this*
When you are 70, your brother will be 67.
If you were six, and he was half of that, he was three, meaning he was 3 years younger than you.
hi my question is what is 72x13
Answers
Answer:
936
7 2
× 1 3
2
2 1 6
7 2 0
9 3 6
Brainleist?
MCQ (100)
Q32. If tan(t) =13, then cot(-t) = ?
Answers
HELP PLEASE NEED HELP ASAP!!
Answers
What integer represents a 5-point loss added to a 2–point gain?
Answers
Answer:
-3
Step-by-step explanation:
5 point loss is -5,
2 point gain is (+)2.
If it's added, the expression will be -5 + 2.
-5 + 2 is -3.
-3 is an integer, because integers are whole numbers and their opposites.
If this helped, please mark it brainliest.. unless there is a better answer. Thanks.
Answer:
So -3
Step-by-step explanation:
the area of square field is 5184 square meter find the area rectangular Field whose perimeter is equal to the perimeter of square field and whose length is twice of its breadth
Answers
Answer:1296 if I’m not wrong please
Step-by-step explanation:
Step-by-step explanation:
Appropriate Question :
The area of square field is 5184m². Find the area of the rectangular field whose perimeter is equal to the perimeter of square field and whose length is twice of its breadth.[tex] \frak{\red{Given}} \begin{cases} & \sf {Area\ of\ the\ square\ field\ is\ 5184m^2.} \\ & \sf {Perimeter\ of\ rectangular\ field\ is\ equal\ to\ perimeter\ of\ square\ field.} \\ & \sf {Length\ of\ the\ rectangular\ field\ is\ twice\ to\ the\ breadth\ of\ the\ square\ field.} \end{cases}[/tex]
Need to find : We have to find the area of the rectangular field.
We are given the area of the square field, that is 5184m². So firstly, let us find out the side of the square field.Let the side of the square field be a.
SidE :-
a² = 5184m²a = √5184ma = 2 × 2 × 2 × 9a = 72m∴ Hence, the side of the square field is 72m. Now, let's find out the perimeter of square.
⠀⠀⠀⠀⠀━━━━━━━─━━━━━━━
[tex] \red \bigstar \sf{\underline{Finding\ perimeter\ of\ square:-}} [/tex]
[tex] \sf \dashrightarrow {Perimeter\ of\ square\ =\ 4a} \\ \\ \sf \dashrightarrow {4 \times 72} \\ \\ \dashrightarrow {\underline{\boxed{\purple{\frak{288m}}}}} [/tex]
∴ Hence, the perimeter of the square field is 288m. Now, let us find out the length and breadth of the rectangular field.
⠀⠀⠀⠀⠀━━━━━━━─━━━━━━━
Since, it is given that perimeter of the rectangular field is equal to the perimeter of square field. Also, the length of the rectangular field is twice the breadth of the square field.[tex] \sf : \implies {Perimeter\ of\ rectangle\ =\ Perimeter\ of\ square} \\ \\ \sf : \implies {2(l\ +\ b)\ =\ 288} \\ \\ \sf : \implies {2(2b\ +\ b)\ =\ 288} \\ \\ \sf : \implies {4b\ +\ 2b\ =\ 288} \\ \\ \sf : \implies {6b\ =\ 288} \\ \\ \sf : \implies {b\ =\ \dfrac{\cancel{288}}{\cancel{6}}} \\ \\ : \implies {\underline{\boxed{\purple{\frak{b\ =\ 48m}}}}} [/tex]
∴ Hence, breadth of the rectangular field is 48m. Now, let's find out the length of the rectangular field.
LengtH :-
2(48)2 × 4896m∴ Hence, the length of the rectangular field is 96m. Now, let's find out the area of the rectangular field.
⠀⠀⠀⠀⠀━━━━━━━─━━━━━━━
[tex] \red \bigstar \sf{\underline{Finding\ area\ of\ the\ rectangular\ field:-}} [/tex]
[tex] \sf : \implies {Area\ of\ rectangle\ =\ l \times b} \\ \\ \sf : \implies {Area\ of\ rectangle\ =\ 96 \times 48} \\ \\ : \implies {\underbrace{\boxed{\pink{\frak{Area\ of\ rectangle\ =\ 4608m^2}}}}_{\sf \blue{\tiny{Area\ of\ the\ field}}}} [/tex]
∴ Hence, area of the rectangular field is 4608m².
Solve for x.
(9x – 16)+(3x + 11)+(7x – 5)=180
Answers
Answer:
10
Step-by-step explanation:
See the picture attached.
Can someone please help me with this question i have 3 minutes left
Answers
Answer:
It will cost 11 cents a day.
Step-by-step explanation:
1.98/18=11
plzz have brainiest
Find the inverse: f(x) = -3 -4/3 x
Answers
Answer:
3+4/3x
Step-by-step explanation:
. Jordan is inviting 8 friends to his party. He wants to give each friend 2 maracas and have 2 for himself. Maracas come in boxes of 6. How many boxes does he need to buy? +
Answers
Answer:
3 boxes of maracas
Step-by-step explanation:
9 x 2 = 18
18 ÷ 6 = 3 boxes of maracas
Answer:
He needs to get three boxes.
Step-by-step explanation:
We know that he wants two, we know that he has eight friends coming. He wants two maracas per friend. To find the total number of maracas you must multiply the amount of friends by the amount of maracas.
8 * 2= 16
You add the two maracas for himself to find the total maracas needed.
16+2= 18
Next you divide the amount of maracas needed by six because the are six maracas per box.
18÷6=3
The total number of boxes needed is three
Find the length of side x in simplest radical form with a rational denominator
Answers
Answer:
4
Step-by-step explanation:
that is what i think it is i am almost positive
Add -4 + (-15).
-11
19
-19
11
Answers
Step-by-step explanation:
-4+(-15)
=(-19)
I think it helps you
What does a cluster tell you about the data on a scatter plot?
Answers
Answer:
it all depends on where it is if it is in the middle you do not have enough information to determine if it is increasing or decreasing
Step-by-step explanation:
Explain what needs to be fixed.
2n + 10 = -2
2n = 12 Step one
n = 6 Step two
Answers
Answer:
step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.
Step-by-step explanation:
STEP 1: Move all terms not containing n to the right side of the equation.
[tex]2n=-12[/tex]
STEP 2: Divide each term by 2 and simplify.
[tex]n=-6[/tex]
in a company, 40% of the workers are women. If 1380 woman work for the company, how many total workers are there?
Answers
Answer:
Step-by-step explanation:
The total number of workers is our unknown. If 40% of this unknown number are women and the number of women is 1380, then the equation looks like this:
(remember that the word "of" generally means to multiply)
(also remember that we have to use the decimal form of a percent in an equation)
.40(x) = 1380 then divide to get the number of total workers:
x = 3450
I NEED THIS ASAP I HAVE TROUBLE WITH IT PLEASEEEEEEEEEEE!!!!!!!!
WORTH 11 POINTS !!!!!!!!! IT IS ALL I HAVE SRRY BBY
SHOW ALL WORK FOR EXTRA POINTS PLSSSSSSS!!!!!!!
Judy earns $11.80 per hour working at a fast food restaurant . How much money
will she earn for 12.5 hours of work?
Answers
Answer:
$147.50
Step-by-step explanation:
all you have to do is multiply the two numbers together
A salesperson at a jewelry store earns 3% commission each week. Last week, Heidi sold $750
worth of jewelry. How much did she make in commission? How much did the jewelry store make
from her sales?
Heidi earned $ in commission.
Answers
whats 13 divided by 8 as a mixed number
Answers
Answer:
the answer would be 13/8
13 divided by 8 can be written [tex]1\dfrac{5}{8}[/tex] as a mixed number.
The division is a mathematical operation that contains decoupling a quantity or number into equal proportions. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to get the quotient.
13 can be split as follows:
13 = 1 × 8 + 5.
It is evident that when 13 is divided by 8, it gives 1 as a quotient and the remainder is 5.
Thus, the fraction [tex]\frac{13}{8}[/tex] in the mixed form is [tex]1\dfrac{5}{8}[/tex].
Learn more about Division here:
https://brainly.com/question/2273245
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