DOES ANYONE KNOW HOW TO DO THIS? DUE AT 11 TONIGHT PLS HELP!
High demand cars that are also in low supply tend to retain their value better than other cars. The data in the table are for a car that won a resale value award.
Enter a function to represent the car's value over time, assuming that the car's value is linear for the first 5 years.
According to your model, how much did the car's value drop the day it was purchased and driven off the lot?
Do you think the linear model would still be useful after 10 years? Explain.
uppose you used months instead of years to write a function. How would your model change
Answers
Answer:
No because its -10 per year so after 10 years the car value will go below zero which makes it useless
Step-by-step explanation:
Step-by-step explanation:
Given the table of values where it represents the relationship between the change in value of a car and number of years.
Slope:Before we can establish the linear equation, we need to determine its slope by using two ordered pairs from the table.
Let (x₁, y₁) = (1, 84)
(x₂, y₂) = (3, 64)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (64 - 84)/(3 - 1)
m = -20/2
m = -10
Therefore, the slope of the linear function is -10.
1. Enter a function to represent the car's value over time, assuming that the car's value is linear for the first 5 years.Assuming that the car's depreciation in value is linear for the first 5 years, then we can establish the following function:
Next, using one of the given ordered pairs from the table, (1, 84), and the slope, m = -10, substitute these values into the slope-intercept form to solve for the value of the car at x = 0 (the y-intercept, b ):
84 = -10(1) + b
84 = -10 + b
Add 10 to both sides to isolate b:
84 + 10 = -10 + 10 + b
94 = b
Therefore, the linear function is f(x) = -10x + 94.
To verify whether this is the correct function to represent the given linear model, substitute the values for year 5, where the car's value is at 44%:
f(5) = -10(5) + 94
f(5) = -50 + 94
f(5) = 44 ⇒ This matches the value from the given table, where it implies that at year 5, the value of the car is 44%.
2. According to your model, how much did the car's value drop the day it was purchased and driven off the lot?Since the car's value is expressed in percentage (%), then it means that at year = 0, the car's value is 100%. The value of the car in year 1 is 84%.
Therefore, the car's value will decrease by 16% from the day it was purchased (at year = 0) through year 1.
To determine the value of the car the day it was purchased and driven off the lot:
Let x = 1 out of 365 days = 1/365 = 0.0027
f(0.0027) = -10(0.0027) + 94
f(0.0027) = -10(0.0027) + 94
f(0.0027) = -0.027 + 94
f(0.0027) = 93.973
The car's value at Day 1 is 93.97%, which means that it decreased by 6%.
3. Do you think the linear model would still be useful after 10 years? Explain.In order to determine whether the linear model would still be useful after 10 years, let x = 10:
f(x) = -10x + 94
f(10) = -10(10) + 94
f(10) = -100 + 94
f(10) = -100 + 94
f(10) = -6
The value of the car by the 10th year will be -6%, implying that it is no longer useful by year 10. The linear model is only useful up to the 9th year:
f(9) = -10(9) + 94
f(9) = -90 + 94
f(9) = 4 ⇒ The car's value by the 9th year is 4%.
4. Suppose you used months instead of years to write a function. How would your model change?Since in the original function, x represents the number of years, and there are 12 months in a year:
Let 12x = 12 months × 1 year
Substitute 12x as an input into the original function:
f(x) = -10x + 94
f(x) = -10(12x) + 94
f(x) = -120x + 94 ⇒ This represents the function that models linear relationship between the percentage value of a car relative to the number of months that the car is driven.
Related Questions
HELP NEED ANSWER 20 POINT NO LINKS
Answers
Answer:16 perhaps
Step-by-step explanation:
add 4 and 12. also i am sorry if this is incorrect. if its right mark me as brainliest please.
Answer: Equation: 3x+4=12x-14
x=2
Step-by-step explanation:
3x+4=12x-14
18x=9
x=2
in triangle abc it is given that AB =9 cm Bc=6cm and Ca = 7.5 cm also
triangle def is given that ef =8 cm and triangle def similar to triangle abc then perimeter of triangle def is
Answers
Answer:
Make me as brain liest plz
The perimeter of triangle DEF is; 30 cm
Similar TrianglesWe are given dimensions of Triangle ABC as;
AB = 9 cmBC = 6 cmCA = 7.5 cmThus;
Perimeter of Triangle ABC = 9 + 6 + 7.5 = 22.5 cm
We are told that Triangle DEF is similar to Triangle ABC.
This means that the ratio of corresponding sides must be equal to the ratio of their perimeter.
Side EF corresponds to side BC. Thus;
Perimeter of Triangle DEF/22.5 = 8/6
Cross multiply to get;
Perimeter of Triangle DEF = (22.5 × 8)/6
Perimeter of Triangle DEF = 30 cm
Read more on similar triangles at; https://brainly.com/question/14285697
8.(Extra Credit)Knowing the value of x determine the numerical value of all the dimensions on the model.Label them accordingly.
ANYONE PLEASE HELP ME WITH MY MATH HOMEWORK I REALLY NEED THE ANSWER RIGHT NOW I HOPE Y’ALL CAN HELP ME:(
Answers
Answer:
is there a picture
Step-by-step explanation:
A grocery store sells three different quantities of sugar. A 1-pound bag costs $1.04, a 2-pound bag costs $1.90, and a 3-pound bag costs $2.82. Enter the unit cost in price per pound for each. Complete the description about how the unit cost changes as the quantity of sugar increases.
Answers
Answer:
Step-by-step explanation:
1.04
.86
.92
*I need help on number 5 :(
Answers
Answer:
1000
Step-by-step explanation:
we have formula total /100* percentage of sand dollars
Select the correct answer. Which equation represents a function? A. B. C. D. E.
Answers
Answer:
2y = 12 is a function
Step-by-step explanation:
In the graph of a function, the value of the x-value in an ordered pair can not be use only once. The graph in the other problems shows that the same x-value was used more than one time.
Find the measures of the interior angles of the triangle.
Answers
Answer:
∠ A = 59°, ∠ B = 48° , ∠ C = 73°
Step-by-step explanation:
The interior angles of a triangle sum to 180°
sum the 3 angles and equate to 180
x + x - 11 + 73 = 180
2x + 62 = 180 ( subtract 62 from both sides )
2x = 118 ( divide both sides by 2 )
x = 59
Then
∠ A = x = 59°
∠ B = x - 11 = 59 - 11 = 48°
∠ C = 73°
Answer:
<A = 149*
<B = 138*
<C = 73*
Step-by-step explanation:
There are 360* total inside a triangle.
We subtract 73 from 360 to find the combined number of both angles a and b.
360-73 equals 287, so we know that both angles a and b add up to equal 287.
Since angle a equals x and angle b equals x - 11, we would combine the two expressions to find x. When we find x, it will allow us to know what both angles a and b equals to. So we combine x and x- 11, set it equal to 287, and solve for x.
x + x - 11 = 2x-11.
287 = 2x - 11
(Add eleven to both sides)
298 = 2x (divide both sides by two)
X = 149
Since angle a equals x, we know that angle a Is 149*.
And since angle b is x - 11, we take 149, subtract it by 11, and we get 138.
Hanna simplified the following math statement. What did she do wrong? Show the correct answer and explain your reasoning.
(6m^3y^2)^4 = 24m^7y^8
Answers
Answer:
y=0
Step-by-step explanation:
What is 5/8 of 4/5 I don't really understand how to do this.
Answers
Answer:
20/40 = 1/2
Step-by-step explanation:
5/8 * 4/5
multiply the numerator with the numerator and denominator with the denominator
you get 20/40 or 1/2
Answer: 0.5 or 1/2
Step-by-step explanation:
Last year, a gardening store ordered 530,570 potted plants. This year, they ordered 424,456 potted plants. What is the percent of decrease in the number of potted plants ordered annually?
Answers
Answer:
last year = 530570
this year = 424456
decreased plants = 530570-424456 = 106114
decreased percent = 106114÷530570×100%
= 20%
therefore 20% is the decrease precent in the number of potted plants ordered anually
5 to the third power -2(5-2)
Answers
5^3 is 125, 125 x -2= -250
-250(5-2)
-250 x 3 = -750
please help me out, thank you
Answers
Answer: 24
Step-by-step explanation: 180-114=66
66+90=156
180-156=24
Will mark brainliest...no guessing please :)
Answers
Answer:
A
Step-by-step explanation:
We can calculate the equation of the lines based on two points. First line m:
y = ax +b
where a is the slope and b is the y-intercept. To find the slope we use the x and y of the points as:
a = [tex]a = \frac{y_1-y_2}{x_1-x_2} = \frac{4- -32}{2- -4} = \frac{36}{6} = 6.[/tex]
So:
y = 6x + b
we can find the y intercept by substituting the x and y for one of the points:
solving for b:
b=-32-(6)(-4)= -8.
So the equation is:
y = 6x - 8.
We can change it to:
y + 8 = 6x
8 = 6x - y.
So it’s (A).
Hope that helps!
Answer:
B I think
Step-by-step explanation:
what is the sum to 5.3x10^5 and 3.8x10^4
pls help
Answers
Answer:
5.68*10⁵
Step-by-step explanation:
you can factor 10⁴ at the beginning too but I found it easier to explain what happens this way
Which of the following represents the factorization of the trinomial below?
x2 - 6x +9
A. (x+2)(x-3)
B. (x - 3)2
C. (x+3)?
D. (x-2)(x-3)
SUBMIT
Answers
Answer:
B. (x-3)^2
Step-by-step explanation:
x^2-6x+9 = (x-3)^2
(a-b)^2=a^2-2ab+b^2
(a+b)^2=a^2+2ab+b ^2
four times the sum of a number and 9 is 16
Answers
Answer:
Step-by-step explanation:
four times the sum of a number and 9 is 16
4 *(x + 9) = 16
4x + 36 = 16
4x = 16 - 36
4x = -20
x = -5
---------------
4 * (-5 + 9) = 16
16 = 16
true
Select the number that would make this statement true: 344 ÷ ________ = 34.4
Question 2 options:
104
103
102
101
Answers
Answer:
103
Step-by-step explanation:
I think
abdul rahman went to fidh market to buy two typesof fish.cost of one type of fish is 95 dollars per kg and the second type of fish costs 130 dollors per kg. can he buy two kilograms of each with 800 dollors.
Answers
Answer:
Yes
Step-by-step explanation:
95 multiplied by 2 is 190
130 multiplied by 2 is 260
190+260 is 450
Answer:
95 x 2=190
130 x 2= 260
260+190= 450
he can and will still have some change
800-450=350
Step-by-step explanation:
hope this helps if not then sorry good luck and bye
HELP PLSSS!!!
What is the equation of the line?
A: y=2x+2
B: y= 1/2x -4
C: y=1/2x + 2
D: y=2x-4
GIVING BRAINLY TO CORRECT ANSWER
Answers
Step-by-step explanation:
(x1,y1) = (-4,0)
(x2,y2) = (0,2)
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y - 0)/(2 - 0) = (x + 4)/(0 + 4)
y/2 = (x + 4)/4
4y = 2(x + 4)
2y = x + 4
y = x/2 + 2
Option → C
find the value of a b and c.
Answers
Answer:
a= 90
2a= 135
b=45
c= 45
I think x
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ASAP I WILL GIVE 30 POINTS AND MARKED AS BRAINLIEST
Answers
Answer:
it's the middle one
Step-by-step explanation:
4 boxes of pasta at $1.25 each
Answers
Answer:
4 * 1.25 = 5
Step-by-step explanation:
4 boxes of pasta (4) at 1.25 (1.25) 'each' (*)
Sketch the graph of y = (x - 2)2 - 16, then select the graph that corresponds
to your sketch.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Answer:
B) Graph B
Step-by-step explanation:
The quadratic equation in vertex form is represented by: y = a(x - h)² + k, where:
(h, k) = vertex
x = h : axis of symmetry
a = indicates a reflection in the x-axis; it also determines the graph's vertical stretch or shrink.
a > 0 the graph opens up.a < 0: the graph opens down.h = indicates a horizontal translation.
k = indicates a vertical translation.
Given the given quadratic equation, y = (x - 2)² - 16:
The vertex occurs at point, (2, -16), and a = 1. Since the value of a is positive, then it implies that the graph opens upward, and the vertex is its minimum point. The axis of symmetry occurs at h = 2.
To determine another point to use as a reference (and also for graphing) is solving for the equation's y-intercept, which is the point where it crosses the y-axis (where x = 0).
Y-intercept: set x = 0:
y = (x - 2)² - 16
y = (0 - 2)² - 16
y = (-2)² - 16
y = 4 - 16
y = -12
Therefore, the y-intercept is (0, -12).
Therefore, the graph that matches these given descriptions is Graph B.
Attached is the graphed quadratic equation where it shows the vertex, y-intercept, and the axis of symmetry.
I got this question wrong and I’m trying to correct it but i don’t know how it’s wrong or what the right answer is.
Question: The triangles shown ARE similar. Explain how the triangles are similar and identify the similarity theorem: AA, SSS, or SAS
Triangle ABC~ Triangle AFG
Answers
Answer:
SAS
Step-by-step explanation:
The triangles are similar by SAS. Two side lengths are given, and we know that vertical angles are congruent.
It is not SSS because we do not know the side lengths of FG and BC.
It is not AA because we do not know two angle measurements.
Find the missing length.
60
36
X
Answers
The missing length of the given triangle divided into two right-angled triangle is 24.
The ratio 60:36:x is a ratio of 2:1:x. This means that the ratio of the lengths of the three segments is 2:1:x. The first segment has a length of 60, so the second segment must have a length of 1/3 * 60 = 24.
Here is the solution in more detail:
The ratio 60:36:x can be written as 2:1:x.
This means that the ratio of the lengths of the three segments is 2:1:x.
The first segment has a length of 60, so the second segment must have a length of 1/3 * 60 = 24.
Therefore, the missing length is 24.
To learn more about length here:
https://brainly.com/question/32060888
#SPJ2
What is the the correct equation to find the value of X?
Answers
Answer:
The first blue option or 8x - 17 = 5x + 19
Step-by-step explanation:
They are vertical angles, so they will be set equal to each other.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
please answer quick
10 points
Answers
Answer:
Cleo is: 25 years old
Range of their ages: 7 years
Step-by-step explanation:
Supposing that they are all around roughly the same age, say, Ahmed was 18 and Beth was 20. The mean/average, is taking both ages, and dividing it by how many people there were. Which was just two. So, 18+20=38. 38/2 gets you 19. To get Cleo's age, we would do,
18+20+ Cleo's age. to get a number, divide it by 3, and get 21. Saying that the mean/average is 21, he would definetly be older. So plug in ages. 24+20+18=62. 62/3 gets you 20.67. 25+20+18=63. 63/3 gets you 21. Therefore, he must be 25.
The range is calculated by subtracting the largest number, by the smallest number. And, given that the median, or, middle is 20, we can know that the previous answer is correct. 25-18 to get 7 as the range.
Solve the problem.
If f(x) = [tex]x^{2}[/tex] and g(x) = -1 + 5x, find (f ∘ g)(x) and find the domain of (f ∘ g)(x).
Answers
Answer:
Domain is 5
Step-by-step explanation:
f * g divided by its powers times its x
A board that is
16
feet long is cut into three pieces. If the length of the first piece is
3
5
6
feet and the length of the second piece is
4
5
6
feet, how long is the remaining piece of board?
Answers
help me with #29 please
Answers
Answer:
which one is 29???
Step-by-step explanation:
