Answers
Step-by-step explanation:
In the given problem, there are two plans that can be represented with a linear function.
Plan A:A = total monthly cost of Plan A for every x number of movies that Sadie watches per month
Slope: $3 = The additional cost for every x number of movies watched per month
Y-intercept: $21 = The monthly cost of Plan A
Combining these elements together, we can establish the following linear function: A(x) = 3x + 21
Plan B:B = total monthly cost of Plan B for every x number of movies that Sadie watches per month
Slope: $1.50 = The additional cost for every x number of movies watched per month
Y-intercept: $27 = The monthly cost of Plan B
Combining these elements together, we can establish the following linear function: B(x) = 1.5x + 27 or [tex]\displaystyle\mathsf{B(x)\:=\:\frac{3}{2}x\:+\:27}[/tex].
Graphing:Plan A:In order to graph Plan A, start with plotting the y-intercept, (0, 21). The y-intercept is the point on the graph where it crosses the y-axis. Then, use the slope, m = 3 (rise 3, run 1), to plot the other points on the graph.
Plan B:Similarly for Plan B, start with plotting the y-intercept, (0, 27).
Then, use the [tex]\displaystyle\mathsf{slope (m)\:=\:1.5\:or\:\frac{3}{2}}[/tex] (rise 3, run 2), to plot the other points on the graph.
Attached is the graphed linear functions, A(x) and B(x). The two lines intersect at point, (4, 33), which means that the total cost of Plans A and B will be the same at $33.
Interval of movies watched:The attached graph also shows that when 0 ≤ x < 4, Plan A is cheaper than Plan B. The interval notation is: [0, 4).
This implies that when Sadie watches 0 - 4 movies per month, she will pay lesser in Plan A than Plan B.
Related Questions
Solve. 2/3x+5/6=3 1/3 Enter your answer as a mixed number in simplest form in the box.
Answers
Answer:
10/3
Step-by-step explanation:
[tex] \bf \huge \: Question:[/tex]
Find the value of x
[tex]\bf \huge \: Equation \: provided:[/tex]
[tex]\sf \dfrac{2}{3} +5/6= 3\dfrac{1}{3} [/tex]
[tex]\bf \huge \: Solution:[/tex]
[tex] \bf \: Convert\: The\: mixed \: fraction \: to \: improper \: f raction:[/tex]
[tex]\sf \longmapsto \: \dfrac{2}{3} x + \dfrac{5}{6} = \dfrac{10}{3} [/tex]
[tex]\underline{\bf Subtract \: 5/6 \: from \: both \: sides : }[/tex]
[tex]\sf \longmapsto \dfrac{2}{3 }x + \dfrac{5}{6} - \red{ \dfrac{5}{6} } = \dfrac{10}{3} - \red{ \dfrac{5}{6} }[/tex]
[tex] \bf \: On \: Simplification:[/tex]
[tex]\sf \longmapsto \dfrac{2}{3} x + 0 = \dfrac{20 -5 }{ 6 } [/tex]
[tex]\sf \longmapsto \dfrac{2}{3} x = \dfrac{5}{2} [/tex]
[tex]\underline{ \bf \: Multiply \: both \: sides \: by \: 3/2:}[/tex]
[tex]\sf \longmapsto\red{ \dfrac{3}{2}} \times \dfrac{2}{3} x = \red{\dfrac{3}{2} } \times \dfrac{5}{2}[/tex]
[tex]\bf On \: Simplification:[/tex]
[tex]\sf \longmapsto1 \times \dfrac{15}{4} [/tex]
[tex]\sf \longmapsto \: \dfrac{15}{4} [/tex]
[tex]\underline{\bf Answer\: In \: mixed\: fraction:}[/tex]
[tex]\sf \longmapsto \: 3\dfrac{3}{4} [/tex]
______________________________________
[tex]\underline{ \bf \: Henceforth,The\: value\: of\: x \: is:}[/tex]
[tex] \boxed{\huge\boxed{ \tt x = 3\dfrac{3}{4} }}[/tex]
PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP HELP HELP HELP HELP HELP ME ME ME ME ME ME ME ME ME ME ME !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
C
Alejandro has just gotten a new job. The relationship between the number of hours he works, xx, and his total earnings, yy, is represented by the graph below.
A point (4,904,90) is labeled below. Which statement about the graph is true?
0
Number of Hours
Total Earning (in dollars)
x
y
0
Number of Hours
Total Earning (in dollars)
(4 , 90)
The unit rate is 4 hours per dollar
The unit rate is 22.5 hours per dollar
The unit rate is $90.00 per hour
The unit rate is $22.50 per hour
Answers
The statement that is true about the graph as it relates the unit rate is:
d. The unit rate is $22.50 per hour
How to find Unit RateUnit rate of a relationship between two variables, x and y, that are proportionally related can be found using k = y/x, where k is the unit rate.
Given that:
x = hours he worked
y = his total earnings
We are told that (4, 90) is a point on the graph.
Using the point, (4, 90), we can find the unit rate as shown below:
k = y/x = 90/4
k = 22.5
Therefore, the statement that is true about the graph as it relates the unit rate is:
d. The unit rate is $22.50 per hour
Learn more about the unit rate on:
https://brainly.com/question/11599895
Let f(x) = x2 − 16. Find f−1(x)
Answers
Answer:
[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]
Step-by-step explanation:
[tex]f(x)=x^2-16[/tex]
To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.
[tex]y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}[/tex]
Now, you can swap the variables again and write the function.
[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]
What is the first step in solving the equation 4b - 7 = 13.
Answers
Answer:
Add 7 to both sides of the equation [it would look like: 4b - 7 +7 = 13+7]
Step-by-step explanation:
The wallaby is essentially a small kangaroo that is native to Australia. To monitor the wallaby population, scientists catch 88 and tag them. A month later, they capture 600 wallabies and notice that 44 have tags. To the nearest viole number, what is the best estimate for the TOTAL wallaby population using ratios?
Answers
The best estimate for the total wallaby population is 1200.
Since to monitor the wallaby population, scientists catched 88 and tag them, already a month later, they captured 600 wallabies and noticed that 44 had tags, to determine what is the best estimate for the total wallaby population using ratios, the following calculation must be done:
44 = 600 88 = X 88 x 600/44 = X 1200 = X
Therefore, the best estimate for the total wallaby population is 1200.
Learn more about maths in https://brainly.com/question/18629331
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
y = (x - 5)(5x + 4)-5x^2
Answers
Answer:
the constant term is: -20
quadratic term is: -5x^2
Step-by-step explanation:
I need help. Whats the answer?
Answers
1 7/9 divided by 4/5
Answers
The answer would be 20/9
this would be because you need to convert it into an improper fraction due to it originally being 1 7/9 then you would divide 16/9 by 4/5 and simplify!
I hope this helped :)
Answer:
[tex]\frac{20}{9}[/tex]
Step-by-step explanation:
hope this helps have a great rest of your day
Can someone Please help me on this math problem
Answers
Answer:
False
Step-by-step explanation:
Residuals are the measure of the error in the fit. The square of their sum gives no weight to the sign of the error, but gives greater weight to larger errors. The fit will be better when the error is smaller. In this scenario, Line B is a better fit.
The statement that Line A better fits the data is FALSE.
May I please receive help?
Answers
ok I got you
it is 40
there are 6 cups of sugar in 5 batches of cookies. how many cups are in 1 batch
Answers
Answer:
1.2 cups
Step-by-step explanation:
6 cups / 5 batches = 1.2 cups/batch
Sixty-seven percent of 237 people own
their homes. About how many people
own their homes?
Answers
Answer:
about 159 people own their homes
(158.79)
Step-by-step explanation:
When you want to find the percentage of a number, multiply that number by the percentage's decimal
example: 20% of 300
20%=20/100=0.20
300×0.20=60
Your welcome!
if you can, please mark brainliest :)
x−6y=−13
7x+2y=41
find the x and y value
Answers
Answer:
X=5
Y=3
(5,3)
Step-by-step explanation:
Solve using substitution
what is the slope of the line through (0, 1) and (-1, -3)
Answers
Answer:
A. 4
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{-4}{-1}[/tex]Simplify: [tex]\displaystyle m = 4[/tex]Answer:
The answer is A. 4
Step-by-step explanation:
Step 1: DefineIdentify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope mSimply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]:[tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}m=−1−0−3−1[/tex]
[Order of Operations] Evaluate:[tex]\displaystyle m = \frac{-4}{-1}m=−1−4[/tex]
Simplify: [tex]\displaystyle m = 4m=4[/tex]1.68 divided by what equals 0.28
Answers
Answer:
Step-by-step explanation:
pls help Pls no links
Answers
Hey there!
3^15/ 3^3
3^15
= 3*3*3*3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9*9*3
= 81*81*81*27
= 6,561 * 2,187
= 14,348,907
= 14,348,907/3^3
3^3
= 3*3*3
= 9*3
= 27
14,348,907/27
= 531,441
15 - 3 = 12
= 3^12
Because
3^12
= 3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9
= 81*81*81
= 6,561*81
= 531,441
531,441 ≈ 3^12
Therefore, your answer should be: 3^12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find the value of x.
Answers
Answer:
x = 83°Step-by-step explanation:
[tex] {x}^{o} + {75}^{o} + {97}^{o} + {105}^{o} = {360}^{o} \\ {x}^{o} + {277}^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {277}^{o} \\ {x}^{o} = {83}^{o} \\ [/tex]
Find the area of ΔABC.
A)21.93
B) 37.20
C) 29.77
D) 18.6
Answers
Answer:
Option D is correct
Step-by-step explanation:
First, let's find side BC by using Pythagoras theorem.
Given:
Hypotenuse = 9 unitsSide 1: 7.8 unitsSide 2: BC=> 9² = 7.8² + x²
=> 81 = 60.84 + BC²
=> BC² = 20.16
=> √BC² = √20.16
=> BC = √20.16
=> BC = 4.48998886413 (Using calculator)
=> BC ≈ 4.49 (Estimated)
Therefore, side BC ≈ 4.49 units. Now, let's find the area by using hero's formula.
=> 1/2(Perimeter) = S
=> Perimeter: Hypotenuse + Side 1 + Side 2
=> 7.8 + 9 + 4.49
=> 21.29 = Perimeter
=> 1/2(21.29) = S
=> 10.645 = S
=> √s(s - a)(s - b)(s - c) = Area of triangle
=> √10.645(10.645 - 9)(10.645 - 4.49)(10.645 - 7.8)
=> √10.645(1.645)(6.155)(2.845)
=> √10.645 x 1.645 x 6.155 x 2.845
=> √306.635120999 (Using calculator)
=> √306.64 (Estimated)
=> 17.5111393119 (Using Calculator)
=> 17.51 units² (Estimated)
We can see that option D is the closest option. Therefore, Option D is correct.
If Option D was incorrect, then my second opinion is A.
If both are wrong, I deeply apologize for the inconvenience caused by me. Hoped this helped.
Answer:
answer is d) 18.6
Step-by-step explanation:
area = 1/2ab sin ∅
a= 9
b = 7.8
so it's
1/2 ×7.8 × 9 sin 32
use your calculator to get 18.600 unit squared
*we can also use the heroes formula*...
Your parents have given you some money to spend with your friends at Water World. You already have purchased a banana split for $7, and you end the day with $17. WRITE AND SOLVE an equation to find how much money you started the day at Water World with.
Answers
Answer:
$17=x-$7
x=$24
Step-by-step explanation:
Carry the 7 to the other side
$17+$7=x
x=$24
help po plsss !!!!!!!
Answers
Answer:
q2 =is tens
q4 is ones
q5 is tens
q8 is ones
q9 is tens
Step-by-step explanation:
I am not sure for these answers
q1 is hundreds
q3is hundreds
q7 is thousands
more I don't know
Answer:
1) Tenths
2) Hundredths
3) Tenths
4) Thousandths
5) Hundredths
6) Tens
7) Tenths
8) Ten Thousandths
9) Ten Thousandths
10) Tenths
1) 0.84
2) 0.7
3) 0.5
Brainliest would be appreciated. :-)
What is the value of the expression 18-2 times ( 4 +3)
Answers
Answer:
1 2/7
Step-by-step explanation:
18 - 2x(4+3) =
combine like terms in the parentheses
18 - 2x(7) =
Multiply
18 - 14x (This is the value of the expression)
We can solve for x by setting it equal to zero
18 - 14x = 0
-14x = -18
x = -18/-14
x = 1 2/7
what is x????
please help!!!!
Answers
Answer:
x = 9
Step-by-step explanation:
4x + 38 = 10x - 16
The sum of two opposite interior angles is equal to the opposite exterior angle.
4x + 38 = 10x - 16
38 = 10x -16 - 4x
38 = 6x - 16
38 + 16 = 6x
54 = 6x
Divide both sides by 6
x = 9
2.48 rounded to the nearest hundredth pl
Answers
Answer:
2.50
Step-by-step explanation:
2.50 might be the answer
Mang Andres is going to put eggs in trays of 6 eggs and 12 eggs. What is the smallest number of eggs that Mang Andres can put using the trays?
correct answer=brainliest and likes (the second person will only get likes and rate)
nonsense=report
Answers
Answer:
1
Step-by-step explanation:
The LCF of 6 and 12 is 1
Hope it helps
Step-by-step explanation:
can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius
A bus half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class half ticket from the station A to B costs 1000. Also, if two reserved first class full tickets and one reserved first class half ticket from A to B costs 4000, then the difference of the full first class fare from station A to B and the reservation charges for a ticket is
Answers
Answer:
A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ...
Step-by-step explanation:
..right ya ???
HELP PLEASE!!! NEED NOW
Answers
Answer:
12
Step-by-step explanation:
A rectangle has a length of 4 mm has an area is 44 mm² width of the rectangle is
Answers
Answer:
11
Step-by-step explanation:
The formula for area is l * w = a (length * width = area)
4 is our length, and 44 is the area, so the equation turns to this:
4 * x = 44
To solve for x, just divide 44 by 4.
44 / 4 = 11.
Now we enter that into our equation so it looks like this:
4 mm * 11 mm = 44 mm^2.
Hope this helped :)
Please helppppp I neeed to pass this class
Answers
Answer:
(x+8, y+ -2)
Step-by-step explanation:
Actually, it would be (x+8,y-2) but the written part already has a + soo...
However, if you wish to complete problems like this in the future, pick one corner of the polygon and count how many places you mover right or left (x-axis. Right is going to be addition and left is going to be subtraction) and how many you move down or up (y-axis. up being addition and down being subtraction).
Can someone help? This is hard