The table shows the number of days you keep a rented movie before returning it and the total cost of renting the movie. find the rate of change in the cost of respect to time interpret its meaning
Answers
The rate of change of a linear dataset is the slope of the dataset
The rate of change of the table is 2.25, and it means that the amount you keep daily is $2.25
From the table, we have the following points
(x,y) = (4,6) (5,8.25)
The rate of change is then calculated as:
[tex]\mathbf{Rate = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
Substitute values for x and y
[tex]\mathbf{Rate = \frac{8.25 - 6}{5 - 4}}[/tex]
Simplify the numerator and the denominator of the fraction
[tex]\mathbf{Rate = \frac{2.25}{1}}[/tex]
Divide
[tex]\mathbf{Rate = 2.25}[/tex]
Hence, the rate of change of the table is 2.25, and it means that the amount you keep daily is $2.25
Read more about rates of change at:
https://brainly.com/question/13103052
Related Questions
PLEASE HELP ITS DUE NOW!!!!!!
WILL MARK BRAINLIEST!!!!!
Answers
Answer:
(- 4, - 10 )
Step-by-step explanation:
y = 5x + 10 → (1)
y = 4x + 6 → (2)
Substitute y = 5x + 10 into (2)
5x + 10 = 4x + 6 ( subtract 4x from both sides )
x + 10 = 6 ( subtract 10 from both sides )
x = - 4
Substitute x = - 4 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 5(- 5) + 10 = - 20 + 10 = - 10
solution is (- 4, - 10 )
__________
[tex] \: [/tex]
[tex] \sf{y = 5x + 10...(1)}[/tex]
[tex] \sf{y = 4x + 6...(2)}[/tex]
Subtitute (1) to (2)[tex] \sf{y = 4x + 6}[/tex]
[tex] \sf{5x + 10 = 4x + 6}[/tex]
[tex] \sf5x - 4x = 6 - 10[/tex]
[tex] \sf{x = - 4}[/tex]
.
Subtitute x = -4 to (1)[tex] \sf{y = 5x + 10}[/tex]
[tex] \sf{y = 5( - 4) + 10}[/tex]
[tex] \sf{y = - 20 + 10}[/tex]
[tex] \sf{y = - 10}[/tex]
.
[tex] \longmapsto \sf{( - 4 , - 10)}[/tex]
What is the equation of the line??
Answers
Answers:
m = -2/3
b = 1
equation: y = (-2/3)x + 1
This is the same as writing [tex]y = -\frac{2}{3}x+1[/tex]
===========================================================
Explanation:
There are a few approaches, but I like to start at the y intercept whenever it is an integer. The y intercept is where the diagonal line crosses the vertical y axis. In this case, that location is (0,1) telling us that b = 1 is the y intercept.
From that starting anchor point, we need to find a way to get to another point on this line. There are a few ways to do this, but we can move down 2 and to the right 3 units to go from (0,1) to (3,-1). This "down 2 right 3" motion directly leads to the slope of rise/run = -2/3
---------------
Alternatively, you can start at something like (-3,3) and move down 4 and move right 6 to arrive at (3,-1). Note how rise/run = -4/6 = -2/3. No matter where you start, moving along this line will involve a "down 2 right 3" movement pattern. Be sure to reduce any fractions as much as possible.
Yet another alternative is to apply the slope formula using any two points on the line. Preferably they have integer coordinates.
----------------
However you determine the slope, it's m = -2/3 after fully reducing. It along with b = 1 is plugged into y = mx+b to get y = (-2/3)x+1 as the equation of this line. It's in slope intercept form.
Correct = brainiest
Answers
Answer:
∠AOC = 98°
∠BOC = 82°
∠DOE = 39°
Step-by-step explanation:
∠DOE = 180 - (43 + 98)
= 39°
∠BOC = 180 - ∠DOB
= 180 - 98
= 82°
∠AOC = ∠DOB (they are vertical angles which are equal)
Which of the following is most likely the next step in the series?
Answers
Answer:
D.
Step-by-step explanation:
Quadrilateral: 4 sides
Pentagon: 5 sides
Hexagon: 6 sides
Now we expect 7 sides.
Answer: D.
Answer:
D
Step-by-step explanation:
The first shape has 4 vertices (quadrilateral), the second has 5 vertices (pentagon), the third shape has 6 vertices (hexagon) so the fourth would most likely have 7 vertices (heptagon).
Hope this help!
A 95% confidence interval for the mean lead concentration in the urine of adult men working with lead (for smelting) is 8.22 to 11.98 micrograms per
liter (g/l). The numerical value of the margin of error for this confidence interval is ______Mg/1.
Answers
11.98-8.22 = 3.76
3.76 / 2 = 1.88
ME= 1.88
Jaxon's start-up business makes a profit of $500 during the first month. However, the company records a profit of -$50 per month for the next eight months and a profit of $175 for the final month. What is the total profit for the first ten months of Jaxon's business?
Answers
Answer: 275$
Step-by-step explanation:
500
-50 x 8 = -400
500 - (-400) = 100
100 + 175 = 275$
================================================================
Explanation:
The first month has a profit of +500 or simply 500.
The next 8 months have a profit of -50 per month, so we have -50*8 = -400 in profit here. A negative profit indicates debt. So far, the profit is 500 + (-400) = 500 - 400 = 100 dollars. This result is positive, so the company is in good shape so far.
It gets in better shape when adding on the final 175 profit from the tenth month. The final profit is 100+175 = 275 dollars
Of the donuts we have left to sell, the
ratio of chocolate donuts to non-
chocolate is 3 to 5. What percent of the
donuts left to sell are chocolate?
Answers
Answer:
37.5%
Step-by-step explanation:
Ratio = 3 : 5
Total part = 3 +5 = 8
Chocolate donuts = 3/8
[tex]Percentage = \dfrac{3}{8}*100[/tex]
= 37.5 %
Step-by-step explanation:
3 + 5 = 8
we are dealing with 8 parts of the whole.
3/8 + 5/8 = 1
300/8 + 500/8 = 100 = 100%
so,
300/8 is the percentage of the chocolate donuts.
300/8 = 37.5 = 37.5%
HELPPP IM LOSTTTTT PLZPZLZPPZLZ
Answers
Answer:
1/4
Step-by-step explanation:
rise/run = 2/8
take 2/8 and simplify
2/8 divided by 2
you get 1/4
Answer:
Step-by-step explanation:
slope is how much the y value has changed for each unit of x value change.
m = Δy/Δx
It appears that (-4, -2) and (4, 0) are points on the line
m = (0 - (-2)) / (4 - (-4)) = 2/8 = 1/4
as x increases four units, y increases one unit.
For addition, drag tiles onto the board. To form a group, place one tile on top of another. Use the integer tiles to evaluate the following expressions. 6 + 3 = 6+(-4) = 6+ (-6) = v
Answers
The addition of the numbers include:
6+ 3 = 9
6 + (-4) = 2
6 + (-6) = 0
How to compute the addition?It should be noted that the question is simply about the addition of the numbers given.
In this case, the following rules are applied:
= (-) × (-) = +
= (+) × (-) = -
In conclusion, the correct options are 9, -2, and 0.
Learn more about addition on:
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#SPJ1
Answer: -1
Step-by-step explanation:
Write an expression that represents the perimeter of the triangle.
Answers
Answer:
(3m - 2) + (2m + 7) + (5m - 3)
Step-by-step explanation:
Perimeter is found by combining all side measurements together to find the total measurement. In this case, combine the sides:
(3m - 2) + (2m + 7) + (5m - 3) is your answer.
If you need a simplified expression, simply combine all the like terms together. Like terms are terms with the same as well as same amount of variables:
(3m + 2m + 5m) + (7 - 2 - 3)
(10m) + (2)
10m + 2 is your answer.
~
Help please!!!
A radio telescope has a parabolic dish. Radio signals are collected at the focal point (focus) of the parabola.
The distance from the vertex of the parabolic dish to the focus is 20 feet. The vertex of the dish is located at a point 30 feet above the ground and 80 feet to the east of a computer that reads and records data from the telescope. The diameter of the dish is 120 feet
What is the depth of the parabolic dish?
Answer:
Answers
45 feet deep
Step-by-step explanation:
First the formula for Parabola is: 4py=x2, we will make it as if it were in the center of the graph.
Now P is the distance from the vertex to the focus or to the directrix which is equal to 20.
4(20)y=x2
80y=x2
Now we just have to use one knwon value of X in the maximum point of the dish, is the diameter of the dish is 120 feet that is the maximum x, and we know that 120 feet is te distance between the widest -x and x, so those would be: -60 and 60.
We will use 60 as our value:
[tex]80y=x^{2} \\80y=60^{2} \\80y=3600\\y=\frac{3600}{80} \\y=45[/tex]
So we know that the depth of the parabolic dish is 45 feet.
In this exercise we have to use the knowledge of depth to be able to calculate the depth that is being seen by the telescope, in this way we can say that:
[tex]45 \ feet \ deep[/tex]
First, knowing that the formula for the parabola is:
[tex]4py=x^2[/tex]
Now P is the distance from the vertex to the focus or to the directrix which is equal to 20, we can say that:
[tex]4(20)y=x^2\\80y=x^2[/tex]
Now we just should use individual knwon financial worth of X fashionable the maximum point of the dish, exist the measurement across object of the eating receptacle exist 120 extremities that is to say the maximum x, and we understand information that 120 extremities is heavy distance middle from two points the expansive -x and x, so those hopeful: -60 and 60.
[tex]80y=x^2\\80y=60^2\\80y=3600\\y=45[/tex]
See morea bout depth at brainly.com/question/694922
is -3/2 parallel to 2/3
Answers
Answer: The parallel slope of 2/3 is 2/3 . m=2/3
Step-by-step explanation: Parallel slopes have the same slopes.
If a slope is 2/3, the parallel slope will be the same. So, the parallel slope will also be 2/3.
Therefore, the answer is m=2/3
Answer:
No.
Step-by-step explanation:
Parallel lines have the same slope. Perpendicular lines have opposite reciprocal slopes. In this instance, -3/2 is perpendicular to 2/3, not parallel.
need help, im confused
Answers
Answer:
Part A: correct
Part B: $20
Step-by-step explanation:
Part B:The amount Vanessa pays for her printer and 2 cartridges is ...
$90 +2(25) = $140
The amount Tia pays for her printer and 2 cartridges (c=2) is ...
t = 80 +20(2) = 120 . . . . dollars
Then the difference in the amounts they pay is ...
$140 -120 = $20
A seed sprouted and grew 2/3 of a foot in 3 months. What was its rate of growth in feet per month?
Answers
Answer:
2.6 inches repeating per month
Answer:
2/9
Step-by-step explanation:
Pls answer questions 1-4 on this pic
(must include the math work)
i will give brainlist for the most helpful answer
Answers
#1
Breadth=
[tex]\\ \sf\longmapsto 1\dfrac{3}{4}in=\dfrac{7}{4}in=7(2)ft=14ft[/tex]
Length=
[tex]\\ \sf\longmapsto 1in=8ft[/tex]
#2.
Length=
[tex]\\ \sf\longmapsto 2\dfrac{1}{4}in=\dfrac{9}{4}in=9(2)=18ft[/tex]
Breadth=
[tex]\\ \sf\longmapsto 2in=16ft[/tex]
#3
Length(Left side)
[tex]\\ \sf\longmapsto 2\dfrac{1}{4}+1+2\dfrac{3}{4}=\dfrac{9}{4}+1+\dfrac{11}{4}=6in=6(4)=24ft[/tex]
Length (right side)
[tex]\\ \sf\longmapsto 1\dfrac{3}{4}+2+3\dfrac{1}{4}=6in=24ft[/tex]
Breadth
[tex]\\ \sf\longmapsto 1\dfrac{3}{4}+2\dfrac{1}{4}4in=16ft[/tex]
___________
[tex]\:[/tex]
Answer in the picture.
A soccer player runs a total of 12 miles during a 4 hour game.
What is the unit rate?
Answers
Answer:
3
Step-by-step explanation:
12 divited by 4 =3
Write numbers least to greatest
Answers
Answer:
[tex]-6,-pi,-0.5,\frac{5}{8} ,\frac{2}{3}[/tex]
What are two different ways to show which is bigger ether 3/4 or 2/3
Answers
Answer:
Either through decimals or finding common denominators.
Step-by-step explanation:
When you get decimals you can clearly see which is bigger and with common denominators, you can just cancel out the denominator and see which is bigger. If you'd like me to provide an example just let me know :)
Abigail has been saving her earnings from her lemonade stand. Abigail has 30 dollars to spend. If she buys a new hat for 15 dollars, how many ribbons can she buy with the remaining money if they cost 4 dollars each?
Answers
x + 3 ? 3 = x what factor do I use in between 3 and 3
Answers
Answer:
1 or 3
Step-by-step explanation:
factors of 3 r 1 and 3
that's why 3 is a prime number
Simon is driving his car on a highway at a constant speed. The below table shows the relationship between the amount of
gasoline left in his car and the distance traveled on the highway.
Answers
Answer:
ccccccccccccccccccccccccccc
if a shirt is 50$ and is on sale for 20% off how much wil you pay with 6% sales tax
Answers
Answer:
42.4 is the correct answer to this question
A paint store makes two batches of a color called Ocean Teal using the recipe shown.
Each batch contains a different amount of paint.
Drag numbers to show how much of each color should be used in each batch of Ocean Teal.
Answers
Answer: third part of the batch 1 :1/2 gallon of yellow Second batch part 1: 4
Step-by-step explanation:
third part of the batch 1 explanation
Since we know that there should be the same amount of yellow and green (they are each 1/4 of the recipe) and there is a half a gallon of green there should same amount the yellow. Hence, the answer is 1/2 gallon.
For the second part of the question, we know that 2 gallons is 1/4 of the recipe, and we know that 1/4 * 2= 1/2 (2/4) we just have to multiply 2 by 2 and get 4, our answer. If the answer is valid please award me the brainiest! It would be much appreciated! :)
Answer:
Step-by-step explanation:
Select all the expressions that are equivalent to -72/12
Answers
Answer:
The correct answers are B and C
Find the perimeter of the rectangle
Answers
= 2(2 + 3) units
= 2 × 5 units
= 10 units.
Answer:The perimeter of the rectangle is 10 units.
Hope it helps.
Do comment if you have any query.
Write an equation that could be used to convert X miles into Y inches.
Answers
Answer:
y = 63360x
Step-by-step explanation:
we know 1 mile = 63360 inches
So: y = 63360x
x mile
& y inch
Write the number for six million fifty thousand.
Answers
Answer:
6,050,000
Step-by-step explanation:
Answer:
6,500,000
Step-by-step explanation:
If m<1=76 then m<3=?
Answers
Answer:
228
Step-by-step explanation:
76*3=228
I WILL MAKE BRAINLISEST
In the given figure, ABC = AED = 90° and BD = DE.
(i) Name the locus of the points which are equi-distant from AB and AC.
(ii) If ACB = 40° , what are the magnitudes of BÂD and CÂD ?
Answers
Answer:
(i) ∠A=∠A (common angle for both triangles)
∠ACB=∠ADE [given]
Therefore, △ABC∼△AED
(ii) from (i) proved that, △ABC∼△AED
So, BC/DE=AB/AE=AC/AD
AD=AB−BD
=6–1=5
Consider, AB/AE=AC/AD
6/3=AC/5
AC=(6×5)/3
AC=30/3
AC=10cm.
Step-by-step explanation:
Step-by-step explanation:
As per given details we can state:
ΔABD ≅ ΔAEDBecause:
AD is common hypotenuse and BD = DETherefore:
∠BAD ≅ ∠EAD or ∠BAD ≅ ∠CADi) The locus of the points which are equidistant from AB and AC is the line AD as it is the angle bisector of ∠BAC.
The point equidistant from AB and AC is point D
ii) ΔABC is a right triangle, find angle measure of ∠BAC:
m∠BAC = 90° - 40° = 50°Find the magnitudes of BÂD and CÂD:
m∠BAD = m∠CAD = (1/2)m∠BAC = (1/2)(50°) = 25°I can use structure to decide where to place the first digit in a quotient. A strongly agree B. agree C. disagree qD. strongly disagree
Answers
Answer: For this question, it's just like a self-survey. If you understand this concept strongly or not really, you go with that answer like strongly agree, agree, etc.
