Victor was having a hard time deciding which new vehicle he should buy. He decided to make the final decision based on the gas efficiency of each car. A car that is more gas efficient gets more miles per gallon of gas. When he asked the manager at each car dealership for the gas mileage data, he received two different representations, which are shown below.
Answers
Answer:
Victor should buy Legend because it has a better unit rate
Step-by-step explanation:
See attachment for complete question.
To determine which car has more gas efficiency, we have to calculate the slope of each car.
Vehicle 1: Legend
Take any two corresponding points from the table
[tex](x_1,y_1) = (4,72)[/tex]
[tex](x_2,y_2) = (12,216)[/tex]
The slope is then calculated using;
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{216 - 72}{12 - 4}[/tex]
[tex]m = \frac{144}{8}[/tex]
[tex]m = 18[/tex]
This implies that this vehicle (legend) travels 18 miles per gallon of gas
Vehicle 2: Supreme
Take any two corresponding points from the graph
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (15,250)[/tex]
The slope is then calculated using;
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{250 - 0}{15 - 0}[/tex]
[tex]m = \frac{250}{15}[/tex]
[tex]m = 16.7[/tex]
This implies that this vehicle (supreme) travels 16.7 miles per gallon of gas
Base on the calculations above, Victor should buy Legend because it has a better unit rate
Related Questions
Y=-2x+9 answer to this question
Answers
Answer:
5.5
Step-by-step explanation:
The height of a firework shot upward from the ground with the initial velocity of 10meters per second is represented by the function h(t) = - 16t2 + 4t How long did it take the firework to reach the ground
Answers
Answer:
0.375 seconds
Step-by-step explanation:
In simple terms, to find the time it took to reach the ground, we need to find t from the equation.
If we differentiate h with respect to t we will get the velocity with which the fireworks is moving at.
[tex]h(t) = - 16t^2 + 4t.\\dh/dt =-32t +4[/tex]
We can now equate this to its velocity and solve for t
10 = -32t +4
t = 0.1875 ( time cannot be negative in value, so we ignore the negative sign)
Therefore, the time it took the fireworks to reach the ground is = 2 x 0.1875= 0.375 seconds.
(We need to account for the fact that the fireworks went up and came down)
The theory that Earth's crust is made up of large, moving pieces of solid rock is called:
O Extrusion
O Plate tectonics
O Intrusion
O Pangaea
Answers
Answer:
I'm pretty sure its plate techtonichs.
Step-by-step explanation:
(hope it helped)
At one gas station, gas costs $2.75 per gallon. Complete the equation that relates the total cost, C, to the number of gallons of gas purchased, g.
C = __
Answers
Answer:
C = 2.75
Step-by-step explanation:
it does not tell how much there for it is 1 gallon
URGENT!
How do you I know if there's 2 possible triangles for an ambiguous case?
Answers
Answer: ?Once you find the value of your angle, subtract it from 180° to find the possible second angle. Add the new angle to the original angle. If their sum is less than 180°, you have two valid answers. If the sum is over 180°, then the second angle is not valid??????
Step-by-step explanation:
If Mrs. Miller deposits $10,000 into a savings account for 5 years at 5% interest rate, what is the total amount of money she will make?
pleaseeeee helpppp
Answers
Answer:
9million
Step-by-step explanation:
What is the slope of the line that passes through the points M (4,-5) and N (0, -8)?
A.) -3/4
B.) 13/4
C.) -4/3
D.) 3/4
Answers
Answer:
D. 3/4
Step-by-step explanation:
using the y2-y1/x2-x1 to find the slop: -8--5/0-4 = 3/4
Answer:D
yee
Step-by-step explanation:
17q=476 Solve for q
Answers
Answer: The answer is q = 28.
are you smarter than a 7th grader get your answers by answering this question please please please please please
Answers
Answer:
F
Step-by-step explanation:
8 - (2-3) -1 = 8
6 - (-2) = 8
8-(2-3)-1=6-(-2)
PLEASE I NEED HELP ON THIS ONE TOO THANK YOU BRAINLY IF CORRECT TYSM PLEASE HELP
Which organization is a major part of the executive branch?
A. The House of Representatives
B. The U.S. Senate
C. The cabinet
D. The Supreme Court
Answers
Answer:
C. The cabinet
Step-by-step explanation:
The executive branch besides the president also includes the advisors that help the president make decisions.
The House of Representatives and U.S. Senate are part of the Legislative Branch (Law and Order).
The Supreme Court is the only organization that makes up the Judicial Branch.
Find the perimeter of the shaded region of this composite figure.
Answers
Answer:
perimeter of shaded region:
area of rectangle- area of semicircle
l×b‐(pie r²) diameter of circle‐6m; Radius‐3
8×6‐(3.14×3×3)
42— 28.26=13.74m
HOPE IT WILL HELP YOU
zora recently got an afterschool job to save money to buy a car. She opened a savings account and deposits a fixed amount each week so that she can quickly meet her savings goal. The table below shows the relationship.
Answers
Answer:
40
Step-by-step explanation:
The initial value of the function is 40, which represents the amount of money she deposits each week
Use inductive reasoning to predict the next number in the sequence.
7, 10, 13, 16, 19, ...
21
21
22
22
23
23
20
Answers
PLEASE HELP ME ASAP!!!! My entire grade depends on these questions and I need to show the work that go me there
I know it is a long one, but I am giving away all of my points!!! I know most of the answers, but for all exept the graphing questions the work needs to be shown!
Consider the quadratic function.
f(x)=-(x+4) (x-1)
(a) What are the x-intercepts and y-intercept?
(b) What is the equation of the axis of symmetry?
(c) What are the coordinates of the vertex?
(d) Graph the function on the coordinate plane. Include the axis of symmetry.
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the
development of a recreational park on the west side of town. A community action group interested in
preserving the environment claims that 45% of the town’s residents favor the development of a recreational
park.
To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the
simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population?
(b) The margin of error of the population proportion is found using an estimate of the standard deviation.
What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using the half the range.
What is the interval estimate of the true population proportion?
(d) Is the community action group’s claim likely based on either interval estimate of the true population
proportion? Explain.
Solve the system of equations. Show your work.
y=x^2-3x+4
x+y=4
Answers
Answer:
Answers are in bold
Step-by-step explanation:
Part 1A
Use the Zero Product Property to find the x-intercepts:
0=-(x+4)(x-1)
0=(x+4)(x-1)
0=(x+4)
-4=x
x=-4
0=(x-1)
1=x
x=1
So the x-intercepts are x=-4 and x=1 which is also (-4,0) and (1,0)
For the y-intercepts, plug in x=0:
f(x)=-(0+4)(0-1)
f(x)=(-4)(-1)
f(x)=4
So the y-intercept is y=4 which is also (0,4)
Part 1B
In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k
For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:
f(x)=-(x+4)(x-1)
f(x)=-(x^2+3x-4)
f(x)=-x^2-3x+4
So now we know a=-1 and b=-3, therefore we can plug them in:
x=-b/2a
x=-(-3)/2(-1)
x=3/-2
x=-3/2
x=-1.5
So the equation of the axis of symmetry is x=-1.5
Part 1C
We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:
f(x)=-(-1.5+4)(-1.5+1)
f(x)=-(2.5)(-0.5)
f(x)=-(-1.25)
f(x)=1.25 <-- y-coordinate
So the coordinates of the vertex are (-1.5,1.25)
Part 1D
See the image below
I'll let someone else do the last 4 questions as I am unable to answer them.
Solve the following system
algebraically:
Answers
Answer: A (8,4)
Step-by-step explanation:
X=8
2x+y=20
2(8)+y=20
16 +y = 20
Y= 4
(8,4)
I need help please
Answers
Answer: SAS
Explanation: There are two sides that are congruent and there is one vertical angle between them which are always congruent.
Prove that (x+y)(x-y)+(y+z)(y-z)+(z+x)(z-x)=0
Answers
Answer:
x=0 x=y=z. with these presumed variable amounts, one can conclude that the equation you asked is equivalent to 0
Answer:
Step-by-step explanation:
(x+y)(x-y)+(y+z)(y-z)+(z+x)(z-x)
=x²-y²+y²-z²+z²-x²
=0
HELP HELP PLEASE IM BEGGING YOUUU
Answers
Answer:
Area=615.75
Step-by-step explanation:
A=πr2
Seriously I have helped you twice in 5 minutes.
Simplify the following equation (2^3)^-2
Answers
3 * -2 = -6
It would be 2^-6
Format: a^-b = 1/a^b
1/2^6 = 1/64
The solution is 1/64
SOMEONE PLEASE HELP ME ASAP
Answers
Answer:
its 2
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
9 + -13= -4
add nine on both sides
then subtract -13 from 9
and you will get -4
PLZ help me i will give you ten points for it and for helping me on the rest of the 6 problems PLZ HELP!!
Answers
Answer:
Yes, I believe so.
Step-by-step explanation:
When you look at this equation on a graphing table, it is a straight line that goes directly through the 0,0 cords.
I hope this helped!
If it's wrong I'm very sorry!
does 3,34 satisfy the equation y= 8x + 10
Answers
24+10=34
34=34
It does
Answer:
Let y=34 and x=3
Step-by-step explanation:
y = 8x + 10
34 = 8 (3) + 10
34 = 24 + 10
34 = 34
Hence,3 and 34 satisfies this equation.
What is the x- intercept of y+ 12 =3 (x-9)?
Answers
Answer:
13,0
Step-by-step explanation:
12=3(x-9)
divide both sides by three
4=x-9
add 9 to both sides
x=13
so, the x intercept is (13,0)
Answer:
x-intercept: (13,0)
y-intercept: (0,-39)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x .
To find the y-intercept, substitute in 0 for x and solve for y .
help me im not mentally gifted in math.
Answers
Answer:
Not sure 737
Step-by-step explanation:
Answer: It's 3 x 3 x 5 x 13 = 585
Step-by-step explanation:
HOPE THIS HELPS!!!! : )
Dinner at your grandfather's favorite restaurant now costs $25.25 and has been increasing steadily at 4% per year. How much did it cost 35 years ago when he was courti
your grandmother?
Answers
Solve for x
Please show the steps
The answer is 10
Answers
Answer:
x = 10
Step-by-step explanation:
Since ΔCDE ~ ΔQRS, we can find the actual length of x + 8 first before finding the value of x.
Length of x + 8 = [tex]\frac{12}{20}[/tex] × 30
= 18
x + 8 = 18
x = 18 - 8
x = 10
Does anyone else need to do Ed.genuity?
Answers
No, if you don’t mind what is that?
9y - 1 = -10y + 227
Answers
Answer: y=12
Step-by-step explanation:
WHOEVER ANSWERS IT WILL GET BRAINIST ASAP DUE IN 5 MINUTES
Answers
Answer:
D
Step-by-step explanation:
What is the initial value in this question y=8x+6 8 or 6?
Answers
Answer:
it should be an 8
Step-by-step explanation:
The initial value in this question y = 8x+6 will be 8 .
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The equation is given as;
y = 8x+6
We can see that the equation contains two terms that are 8x and 6.
The initial value is the first number of the first term in the equation.
Here, the first term is 8x.
Hence, the initial value in this question y = 8x+6 will be 8 .
Learn more about equations here;
https://brainly.com/question/10413253
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