Answers
a) We were told that relationship between the value of the car and its age is linear. This means that it can be represented with a linear equation such as
y = mx + c
y is the dependent variable and in this case, it is the value of the car, V
x is the independent variable and in this case, it is the age of the car, a
The above equation is the slope intercept form equation where
m represents slope
c represents y intercept
The formula for determining slope is expressed as:
m = (y2 - y1)/(x2 - x1)
We were told that a 5 year old car is worth 14000. This means that
When x1 = 5, y1 = 14000
Also, the same car is worth 11400 after 2 years. This means that the car is worth 11400 after 7 years. Thus,
when x2 = 7, y2 = 11400
Thus,
slope, m = (11400 - 14000)/(7 - 5) = - 2600/2
m = - 1300
We would find the y intercept, c by substituting m = - 1300, x = 5 and y = 14000 into the slope intercept equation. Thus,
14000 = - 1300 * 5 + c
14000 = - 6500 + c
c = 14000 + 6500
c = 20500
Thus, by substituting m = - 1300 and c = 20500 into the slope intercept equation, the linear equation representng this scenario is
y = - 1300x + 20500
By replacing with the given variables,
V = - 1300a + 20500
b) When the car was new, it means that a = 0. By substituting a = 0 into the equation, we have
V = - 1300 * 0 + 20500
V = 20500
The value of the car was $20500 when it was new
Related Questions
Jack earned $ 172,874 in 6 months. On an average, about how much did he earn each month?
Answers
Answer:
172,872÷6=28,812.33 I believe this is the answer
Choose the graph of the equation y=2.5x
Answers
Answer:
I think it's A( i edited)
Step-by-step explanation:
Bc at the end of the arrow on A it ends at 2.5 which fits the equation y=2.5x
Answer:
The answer is A.
Step-by-step explanation:
what is the greatest common factor of 12 and 26
Answers
Answer:
2
Step-by-step explanation:
The greatest common factor is 2
Answer:
2
Step-by-step explanation:
2 is the greatest number that will go into both 12 and 26.
Hope this helps
- Please mark brainliest :)
Jake is rolling two dice and then finding the sum of the two results. What is the theoretical probability that he will have a sum greater than or equal to 9?
Answers
what is 5x+10x-2x+1y
Answers
Answer: The answer is 13x+y
Step-by-step explanation:
I need help please, this is urgent
Answers
Answer:
Sin x=21/29, Cos x=20/29, Tan x=21/29. Sin Z= 20/29, Cos Z=21/29, Tan 20/21
Step-by-step explanation:
Okay so basically the formula for these trig functions are
Sin=opposite/Hypotenuse
Cos= adjacent/hypotenuse
Tan= opposite/adjacent
So identify the sides and plug them into the formula above, this can be used for any problem
hope this helps
Find the measure of the missing angle *
Answers
Answer:
≈ 49.9° and ≈ 71.0°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{17}[/tex] , then
? = [tex]sin^{-1}[/tex] ([tex]\frac{13}{17}[/tex] ) ≈ 49.9° ( to the nearest tenth )
----------------------------------------------------------------
Using the cosine ratio in the right triangle
cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14}{43}[/tex] , then
? = [tex]cos^{-1}[/tex] ([tex]\frac{14}{43}[/tex] ) ≈ 71.0° ( to the nearest tenth )
Pls need help thank you
Answers
Answer:
∠POM and ∠POR
Step-by-step explanation:
Step-by-step explanation:
angle POM and angle QRT
need to pass this class please help!
Answers
Answer:
a=65
Step-by-step explanation:
in a right angle theres 90 degrees.
90-25=65
25+a=90
a=65
Now to double check if the two angles add up to 90 degrees:
25+65=90
65 is the missing angle
The points (-1,r) and (11, -1) lie on a line with slope -3/4
Find the missing coordinate r.
Answers
Answer:
8
Step-by-step explanation:
y = (-3/4)x + c
Sub (11,-1) into the equtaion
-1 = (-3/4)(11) + c
c = 29/4
y = (-3/4)x + 29/4
when x = -1,
y = (-3/4)(-1) + 29/4
y = 8
r = 8
There are 32 females in a dance recital. This is the ratio men to women 3:8. How many men are at the dance recital????
Answers
Answer:
12
Step-by-step explanation:
Answer:
there are 12 men
Step-by-step explanation:
men:3×4=12
woman:8×4=32
solve for slope / y intercept and equation please
Answers
The slope is 0, so you don’t need to write the slope, and all that’s left is yintercept or 3
There are seven nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter.
Answers
Answer:
3/13
Step-by-step explanation:
Here is the full question
There are seven nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. Find the probability that both coins are nickels.
Because there is no replacement, after you pick the first coin, the number of coins in your pocket becomes 13 and the number of nickels in your pocket becomes 6
probability that both coins are nickels = probability that the first coin is a nickel x probability second coin is a nickel
7/14 x 6/13 = 3/13
One of the legs of a right triangle measures 6 cm and its hypotenuse measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Answer:
let base = 6cm
perpendicular =x cm
hypotenuse =10cm
by using Pythagoras law
hypotenuse ²=perpendicular ²+base²
10²=x²+6²
100-36=x²
x=√64=8cm
the measure of the other leg is 8cm
The measure of the other leg of the right triangle is equal to 8 cm.
Let the other leg of the right triangle be the opposite side.Given the following data:
Adjacent = 6 cmHypotenuse = 10 cmTo find the measure of the other leg, we would apply Pythagorean's theorem:
Mathematically, Pythagorean's theorem is given by the formula;
[tex]Hypotenuse^2 = opposite^2 + adjacent^2[/tex]
Substituting the given parameters into the formula, we have;
[tex]10^2 = opposite^2+6^2\\\\100= opposite^2+36\\\\Opposite^2=100-36\\\\Opposite^2=64\\\\Opposite=\sqrt{64}[/tex]
Opposite = 8 cm
Read more: https://brainly.com/question/14930619
Construct a circle through points
X, Y, and Z.
Answers
There are different ways to draw a circle. To construct a circle through points X, Y, and Z, one must:
Steps to Construct a Circle Through Points x, y, and zSetting up the Points by drawing your points A, B, and C in any given position of your choice, know if your points are noncollinear and then draw two line segments in the space between any two sets of points. Drawing Perpendicular Bisectors: This can be done by Drawing an arc centered at the first endpoint of the first line segment, then draw another arc at the center of the second endpoint, then Draw a line that links the intersections of the arc and lastly draw the perpendicular bisector of the second line segment. Draw the Circle: Through the use of a Set the compass width to the circle’s radius, move the compass in a 360 degrees and erase the line segments, arcs, and perpendicular bisectors.Learn more about constructing a circle from
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This is for algebra 1
Answers
Answer:
domain :- (-4, 1, 4,5)
Range:- (-3,0,0,2)
Step-by-step explanation:
Answer:
domain :- (-4, 1, 4,5)
Range:- (-3,0,0,2)
Hope this helps! :)
Helpppp pleaseeeee and could you put an explenation??? pleaseeee
Answers
Answer:
Step-by-step explanation:
The angles would be supplementary
45 + 5x + 35 = 180
5x + 80 = 180
5x = 100
x = 20
To find out why they are supplementary, refer to the transversal below
∠3 = ∠7 (corresponding angles)
∠8 = 180 - ∠7 (supplementary angles)
And since ∠7 = ∠3...
∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)
1) The base of a 10-ft ladder stands 6 feet from the base of a house. Will the ladder reach 7 feet
high? Justify your answer.
10 ft
6 ft
Answers
a^2 + b^2 = c^2
where c is the hypotenuse; angle between a and b is 90 degrees.
In this case, c = 10 ft
Say a = 6 ft
then find b
6^2 + b^2 = 10^2
b^2 = 100 - 36 = 64
b = 8 ft
So yes, it will reach over 7 feet
PLEASE HELP!! URGENT!! Rubi tosses a quarter off the Main Street bridge into the St. John's River. The distance, in feet, the quarter is above the water is modeled by the equation -16t^2+96t+112d ( t ) = − 16 t 2 + 96 t + 112, where t represents time in seconds. How much time does it take for the quarter to hit the water?
Answers
Answer:
5
Step-by-step explanation:
Determine the number of solutions for this system of equations by inspection only. 3x+4y=17
21x+28y=109
Answers
Answer:
no solutionStep-by-step explanation:
to understand thisyou need to know about:system of linear equationtips and formulas:a system of linear equation has no solution if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}[/tex]let's solve:according to the question
[tex] \frac{3}{21} = \frac{4}{28} \neq \frac{17}{109} \\ \frac{1}{7} = \frac{1}{7} \neq \frac{17}{109} [/tex]
therefore
the system of linear equation has no solution
Nirvany went on a 65,000 m hike. She divided the distance traveled evenly over 5 days. Approximately how many miles did Nirvany walk each day?
Answers
Answer:
13000m
Step-by-step explanation:
Given data
Total distance travelled= 65,000
Number of days= 5 days
Hence the distance covered per day is
= 65,000/5
=13000m
Therefore the distance covered per day is 13000m
A group of friends went to lunch. The bill, before sales tax and tip was $35.55. A sale tax of 6% was added. The group then tipped 15% on the amount after the sales tax was added. What was the amount, in dollars, of the total cost?
Answers
Answer:
about $43.34 rounded to the nearest tenth
Step-by-step explanation:
First add 6% of 35.55 to 35.55
35.55x1.06=37.683
This is the price after tax
Next add the percentage of tax to 37.683
37.683x1.15=43.335
Rounded to the nearest cent and your final answer is $43.34
Worth lots of points
What is the rule for the following geometric sequence? 64, -32, 16, -8
A: an=32(-1/2)^n-1
B:an=32(2)^n-1
C:an=32(1/2)^n-1
D:an=32(-2)^n-1
Answers
Correct answer: aₙ = a₁ · 2ⁿ⁻¹
Step-by-step explanation:
Given: Geometric sequence
64, 128, 256, 512, .....
First term a₁ = 64
Second term a₂ = a₁ · 2 = 128
Third term a₃ = a₂ · 2 = a₁ · 2² = 256
Fourth term a₄ = a₃ · 2 = a₁ · 2³ = 512
...................................................
n - th term aₙ = a₁ · 2ⁿ⁻¹
God is with you!!!
Nora is a high school basketball player. How many points would Nora score in a game if she made 4 free throws (worth one point each) and 2 three point shots? How many points would Nora score in a game if she made x free throws and y three point shots?
Answers
Answer:
10
Step-by-step explanation:
4(1)+2(3)=10
Nora would score 10 and for x free throws and y three point shots x + 3y.
What is linear Equation?When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.
One-variable linear equations and two-variable linear equations exist.
Given
points on free throws = 1
points on 4 free throws = 4x1 = 4
and points on 2 three point shot = 2x3 = 6
total points are 4 + 6 = 10
and if she made x free throws then points are = 1x
and for y three point shots = 3y
total points for x free and y three point shots
x + 3y
Hence the points are 10 and x + 3y.
Learn more about linear Equation;
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Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $3 per mile. The total fare was $33.20, not including the tip
Answers
Answer: 10 miles
Step-by-step explanation:
You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:
3.20 + 3x = 33.20
If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:
3x = 30.00
and then divide both sides by 3:
x = 10
So she traveled 10 miles.
The Taxi ride was 10 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:
3.20 + 3x = 33.20
If we solve for x we will find out the miles she traveled.
Then subtract 3.20 from both sides:
3x = 30.00
then divide both sides by 3;
x = 10
Therefore, she traveled 10 miles.
Learn more about equations here;
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What is the solution of the system?
2x + 5y = 14
2 + 3y = 16
pls help
Answers
Answer:
x=-14/3,y=14/3 but if there is x at the second wan.then,x=19/2,y=-1
HELP ME PLSS BRAINIEST
Answers
Explaination: it’s the answer trust me on this one :D
which function represents the data
Answers
Which section of the graph is decreasing?
Answers
Answer:
I would go with answer B
Step-by-step explanation:
The starting of the decreasing is B and slowly decreases down to C
You earn 5000 with a annual raise of 250, how much will you earn in 3 years?
Answers
Answer:
5750
Step-by-step explanation:
5000+250=5250
5250+350=5500
5500+250=5750