Mallory puts $1.00 in a jar. The following week, she puts 2 times that original amount in the jar. For each of the next six weeks, Mallory continues to double the amout of money she places in her savings jar each week.
Determine if the relationship is linear or nonlinear. Explain your choice using examples with ordered pairs. (week, amount)
We want to see if the relationship between the number of weeks and the money put in the jar is linear or not, we will see that this is not a linear equation (it is exponential).
So a linear relation is something like:
y = a*x + b
Note that for any value of x, an increase of 1 unit gives:
y = a*(x+ 1) + b = (a*x + b) + a
So for increases of 1 unit in the x-value, we have increases of "a" units on the y-value.
In the given situation we have:
In week 1 she puts $1.00 in the jar.In week 2 she puts $2.00 in the jar (now the jar has $3.00 in it)In week 3 she puts $4.00 in the jar (now the jar has $7.00 on it)In week 4 she puts $8.00 in the jar (now the jar has $15.00 on it)and so on.
Writing that as points we have:
(1, $1)
(2, $3)
(3, $7)
(4, $15)
Notice that for equal increases in the x-value, (increases of 1 unit) we don't equal increases in the y-value (first increases by $2, then by $4, etc...) So this is not a linear equation, this is actually exponential.
If you want to learn more, you can read:
https://brainly.com/question/19770987
The relationship of the ordered pair that represents Mallory savings is a nonlinear relationship.
Let x represents the number of weeks, and y represents the amount put in the jar, each week.
So, we have the following highlights for 6 weeks.
Week 1: (1, 1)Week 2: (2,2)Week 3: (3,4)Week 4: (4,8)Week 5: (5,16)Week 6: (6,32)The ordered pairs can then be represented as:
[tex](x,y) = (1,1)(2,2)(3,4)(4,8)(5,16)(6,32)[/tex]
As the x values increase, the y values increase too, but the y values do not increase at a constant rate.
This means that the relationship is not linear; it is an exponential relationship.
Hence, the relationship is a nonlinear relationship.
Read more about linear relationships at:
https://brainly.com/question/7040405
Select all the expressions that have a value of 180 when b = 4.
87b−179+957÷87
33b12
b2+120
51b−24
11b+187−2,756÷1
this is 6th grade work. show work becuase i have to turn this in on paper as well
Answer:
51b-24: 51x4=204-24= 180
Step-by-step explanation:
Help meee I don't know what to do anymore--
Answer:
It is increasing by 40 and the first game will 40 the next is 80 the next is 120 and it keeps going on
Step-by-step explanation:
Also this one--Sorry
Answer:
3 hours or on a calculator do 540 divided by 1620
How do you solve 42 = 7/6x
Please help me and explain so I can do this on my own.
Answer:
I'm just trying to help so I don't know if it's correct
42 = 7/6x
you are going to multiply by 6x on both sides then you'll get and cancel the 6x on the right side of the problem
6x × 42 = 7
then you are going to divide by 42 on both sides and cancel the 42 on the left side of the equation, so you'll get 6x = 7/42
next simplify the equation
6x = 1/6
then you will try to get X by itself by dividing by 6 on both sides of the equation
so you'll get X = 1/6 ÷ 6
then you'll flip the second number and you'll get 1/6 then multiply so X will be equal to 1/36
hope you understand
Help pls ASAP PLSSS its really important!
Answer:
25 - 01
Step-by-step explanation:
Answer:
The difference is like subtraction. the difference is 01 so, 24 - 01. I got this answer because it is the smallest that I can get to.
hope this helped.
4x + 60 + 5x = 100
What is x?
Answer:
50 pointssssssssssssssssssssss
Answer:
x = 40/9
Step-by-step explanation:
4x + 60 + 5x = 100
=> 60 + 9x = 100
=> 9x = 40
=> x = 40/9
Hoped this helped.
-4(-6x + 4) ?
(including steps please!) :D
Answer:
-32
Step-by-step explanation:
first you need to find the unknown #(.666) and multiple it by 6 then add 4 then times 8 by for to get - 32.
Answer:
24x - 16
Step-by-step explanation
What we're doing here is factorisation
To factorise a number, you need to multiply the number outside of the bracket (in this case -4) by both of the inside numbers (-6x and 4).
First,
-4 x -6x
-4 x -6x = 24 , The x also needs to be kept- coming from the -6x, so the answer would be 24x.
You may think that because there are minuses involved, the answer would be -24x but you need to remember the rule that 2 negatives make a positive!
Next,
Multipying the outside number by the second inside again:
-4 x 4 = -16
Alongside the rule that two negatives make a postive, another rule is that one negative and one positive always result in a negative.
Finally,
Connect both of these answers
24x - 16 is the answer!
(The minus/negative symbol in the final answer is because the second multipication turned out negative, if the second number was positive, the answer would be 24x + 16.)
Zoe planted a 4-foot oak tree in her backyard. The oak tree is expected to grow by 22 inches each year. If the oak tree grows at its expected rate, which of the following functions represents the height, H(x), in inches, of the oak tree after x years?
A.
H(x) = 22x + 48
B.
H(x) = 22x + 4
C.
H(x) = 48x + 22
D.
H(x) = 4x + 22
A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as long, half as deep, and the same width as the larger pool.
How many times greater is the volume of the swimming pool than the volume of the wading pool?
Enter your answer as a number, like this: 42
HELLLLPPPP PLEASEEEEEE
Answer:
The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.
Step-by-step explanation:
By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:
Community swimming pool
[tex]V_{c} = l\cdot w\cdot h (1)[/tex]
Wading pool
[tex]V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)[/tex]
Where:
l – Length of the swimming pool, measured in feet.
h – Depth of the swimming pool, measured in feet.
w – Width of the swimming pool, measured in feet.
[tex]V_{c}[/tex] – Volume of the community swimming pool, measured in cubic feet.
[tex]V_{w}[/tex] – Volume of the wading swimming pool, measured in cubic feet.
The ratio of the volume of the community swimming pool to the volume of the wadling pool is:
[tex]\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)[/tex]
[tex]\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }[/tex]
[tex]\frac{V_{c}}{V_{w}} = 4[/tex]
The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.
please help me get an answer for this question.
Answer:
I have no idea
Step-by-step explanation:
Samuel and Jason spend 3/4 of their combined earnings from Wednesday to buy a gift. Use a problem solving model to determine if there enough left over from Wednesday's earnings to buy a card that costs $3.25? Explain PLEASE HURRRRY
Answer:
Answer: 4.375.
Step-by-step explanation:
This is a multiplication problem. Samuel and Jason spend 3/4 of their cash for a $3.25 dollar gift card. 3.25 * 0.75 = 4.375
Answer:
Answer: 4.375.
Step-by-step explanation:
Question 12 The graph represents the amounts Madison and Morgan earn each hour tutoring. After how many hours will Madison and Morgan earn the same amount? Amount Earned ($) y 80 70 60 50 40 30 20 10 절 0 1 2 3 4 5 6 7 8 Number of Hours Answer Record your answer in the boxes below. Be sure to use correct place value. +/-
Answer:
hmmm
Step-by-step explanation:
lmk if you got the answer
WILL GIVE BRAINLIEST FIVE STARS LIKE ETC THE WHOLE SHEBANG BRAINLIEST BRAINLIEST BRAINLIEST;
PLZ ANSWER AS SOON AS YOU CAN!!!!!!!!!!!
The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.
Cara's Flower Arrangements
White 3 6 9 12 15
Yellow 5 10 15 20 25
Hector's Flower Arrangements
White 4 8 12 16 20
Yellow 6 10 14 18 22
Part A
Are the numbers of white and yellow flowers in Cara's arrangements proportional?
Which equation relates the number of white flowers, w, to the number of yellow flowers, y?
A. Yes; y=35w
B. Yes; y=53w
C. No; y=3w+5w
D. No; y=5+3w
Part B
Are the numbers of white and yellow flowers in Hector's arrangements proportional?
Write an equation to relate the number of white flowers, h, to the number of yellow flowers, e.
A. Yes; e=32h
B. Yes; e=23h
C. No; e=h+2
D. No; e=h−2
Answer:
Step-by-step explanation:
Part A.
A. Yes y = 5/3w
Part B.
C. No, e = h + 2
Answer:
Step-by-step explanation:
1. B
2. C
Find the missing number.
Answer:
25% - from 180 degrees
Step-by-step explanation:
What is the distance between the points? Round to the nearest tenth if necessary.
Answer:
Im pretty sure its 11.6
Step-by-step explanation:
Han and Tyler both started walking toward each other from opposite ends of a 18-mile path. Han walks at a pace of 4 miles per hour and Tyler walks at a pace of 2 miles per hour.
How long does it take for Han and Tyler to meet?
Explain or show your reasoning.
Please help me
Evaluate the expression when M=2
m²+29
[tex]2(6p-5)\geq 3(p-8)-1[/tex]
Which Numbers Can Be A Solution.
[tex]-2[/tex]
[tex]-\frac{9}{5}[/tex]
[tex]-\frac{3}{2}[/tex]
[tex]-\frac{7}{8}[/tex]
[tex]-\frac{1}{5}[/tex]
give a step by step explanation pls
Answer:
D
Step-by-step explanation:
20/5=4
28/7=4
Who has the best conclusion? A. Diane says there were 14 service calls made in the first 6 days. B. Thad says there were 14 service calls made in the first 8 days. C. Fred says there were 18 service calls made in the first 10 days. D. Juanita says that she cannot tell how many service calls were made on days 10,11, and 12.
Answer:
A if ur counting them all together
Step-by-step explanation:
70x + 50 = 190
What is x?
Answer:
x = 2
Step-by-step explanation:
70x + 50 = 190
=> 70x = 140
=> x = 2
Therefore, x = 2.
Hoped this helped.
Help plz:
7. Add or subtract the following polynomials:
a. 5x^2 + 3y^3 - 4x^2 =
b. y^3 + 2y^3 - 8 + 2 =
c. 9 - 3x - 4x + 2x - 12 =
d. -6t + 4t^2 - 6 + 7t - 4t^2 =
Step-by-step explanation:
you will see, this is totally easy. so, once you understand that principle, I am sure you will agree with me that this costs more time putting it in here than just doing it yourself in the future.
you need to consider for addition and subtraction every variable combined with an exponent a different thing, a fruit for example.
you know exactly what to do, when you are being asked to add 3 apples to 2 apples, right ?
or, when are are asked to add 4 apples and 2 pears to 3 apples and 2 pears.
in the first case we simply get 5 (2+3) apples.
in the second case we get 7 (3+4) apples and 4 (2+2) pears.
and nothing else happens here.
we could call x² apples, y² pears, y³ plums, x kiwis, t strawberries, t² raspberries. and the constants could be another fruit or grams of sugar.
now, we simply combine the "fruits" that belong together. there is nothing more to this.
5x² + 3y³ - 4x² = x² - 3y³ (because 5-4 for x²)
y³ + 2y³ - 8 + 2 = 3y³ - 6 (1+2 for y³ and -8+2 constant)
9 - 3x - 4x + 2x - 12 = -5x - 3
-6t + 4t² - 6 + 7t - 4t² = t - 6 (4-4 for t², -6+7 for t)
Someone help me with this please, I really need help, and it's due tmrw...PLEASE
Answer:
y=(x*9)-4
Step-by-step explanation:
for example:
0*9=0
0-4=-4
4*9=36
36-4=32
2*9=18
18-4=14
hope this helped ;)
The x axis is
vertical
horizontal
diagonal
Answer:
Horizontal
Step-by-step explanation:
The x-axis is horizontal while the y-axis is vertical.
B - Horizontal
The y-axis is vertical and most exponential functions tend to be diagonal.
10x > 14x + 8 (find the value of x)
Answer: The answer will be created shortly.
Identify the terms in the expression 70 – (4 • 15).
Answer: 4200? or 10 because there is a minus sign
Step-by-step explanation:
if we start with the parentheses you can see 4 x 15 = 60 and your subtracting 70 minus 60 so it would be 10
Step-by-step explanation:
Given expression:
70 – (4 • 15)It has two terms:
70 and – (4 • 15)If we need to solve it then:
70 – (4 • 15) = 70 - 60 =10Solve this please
⎯.+/⎯.+/
May I please get help with my math lesson if possible I don't know why they are 4 answers if 1 of the answers don't apply to any of the questions it fine just leave it blank
Answer: S1:E7 ; S2:E1 ; S3:E5
Step-by-step explanation:
What we know:
3 answers applyWe need to find which answers go with each question**A lot of info is problem-specific.
How to solve:
Since we only need to write the equations, we simply need to find the x and y variables, and the total.
Process:
Problem 1:
Find the x 5.50Find the y 3Find the total 145Write equation 5.50 + 3 = 145Problem 2:
Find the x 2.50Find the y 0.75Find the total 25Write equation 2.50 + 0.75 = 25Problem 3:
Find the x 2Find the y 5Find the total 50Write equation 2 + 5 = 50Solution: S1:E7 ; S2:E1 ; S3:E5
Answer:
S1:E7 S2:E1 S3:E5 Have a great day...
Step-by-step explanation:
Please Help Me Out!
Evaluate the expressions. Write your answer as a single base with a positive exponent.
(b^-7)^2 x b^6
a^-10 x a^8
Answer:
1/b^8, 1/a^2
Step-by-step explanation:
(b^-7)^2 x b^6
= b^-14 x b^6
= b^-8
= 1/b^8 In a fraction
a^-10 x a^8
= a^-2
= 1/a^2 In a fraction
Answer:
1/b^8
1/a^2
Step-by-step explanation: