1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gladu [14]
3 years ago
15

A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges

$9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.

Mathematics
1 answer:
lord [1]3 years ago
7 0

Answer:

A)  F(x) = 50 + ( x - 10 )*9  

B) Graph

C) lim ( x ⇒ 10) F(x) = 50

Step-by-step explanation:

A) F(x) = 50 + ( x - 10 )*9       since the first 10 hours are included in initial fee

B) In Annex

C) lim (x ⇒ 10) F(x) = 50 + ( 10 -10)*9

lim ( x ⇒ 10) F(x) = 50 + 0

lim ( x ⇒ 10) F(x) = 50

You might be interested in
Round 149,640 to the nearest thousand.
love history [14]
150,000 I believe is the answer
6 0
3 years ago
Read 2 more answers
Find the perimeter of triangle ABC. Approximate to the nearest whole unit.​
kolbaska11 [484]

Answer: 16 units

Step-by-step explanation: adding the perimeter sides to get the perimeter of triangle ABC would be 4.1+6.1+5.8 = 16

7 0
2 years ago
Read 2 more answers
If ΔEFG ~ ΔLMN with a ratio of 2:1, which of the following is true?
strojnjashka [21]

Answer:

  segment EF over segment LM equals segment FG over segment MN

Step-by-step explanation:

The triangles are similar, not congruent, so any answer choice with the word "congruent" can be ignored.

The sequence of letters in the triangle name tells you the corresponding segments:

  • EF corresponds to LM
  • EG corresponds to LN
  • FG corresponds to MN

Corresponding segments have the same ratio, so ...

  EF/LM = FG/MN . . . . . . matches the first answer choice

  EF/LM = EG/LN . . . . does not match the 3rd answer choice

7 0
3 years ago
A study conducted to determine the relationship between the age, x, in years of a certain brand of motorcycle and its value, y,
kirza4 [7]

Based on the equation, y = -750·x + 8500, the estimated value of a

motorcycle that is 5 years old is <u>$4,750</u>.

<h3>How can the given equation help to estimate the value of the motorcycle?</h3>

The regression equation that models the data is; y = -750·x + 8500

Where;

y = The value of the brand of motorcycle in dollars

x = The age of the motorcycle

When the motorcycle is 5 years old, we have;

x = 5

y = -750 × 5 + 8500 = 4750

Based on the equation, the estimated value of a motorcycle that is 5 years old, y =<u> $4,750</u>

Learn more equations here:

brainly.com/question/20475360

4 0
2 years ago
A family on vacation records the time in hours) and the distance (in miles) that they travel. The data are shown in the scatter
nata0808 [166]

Answer:

In the first 3.5 hours, the family travelled 175 miles.

Step-by-step explanation:

We have the table:

time (hours)              distance ( miles)

      0                                   0

      1                                   50

       2                                 100

      3                                  150

      4                                 200

      5                                 250

      6                                 300

      7                                 350

      8                                 400

      9                                 450

This seems like a linear relationship, let's write the general line:

y = a*x + b

That represents this situation, y is the distance in miles and x is the time in hours.

In the line equation, a represents the slope and b the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)

So if we use the first two (0, 0) and (1, 50)

the slope is:

a = (50 - 0)/(1 - 0) = 50

Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:

a = (250 - 200)/(5 - 4) = 50/1 = 50

So we can conclude that the slope of the equation is a = 50

Then the equation is something like:

y = 50*x + b

To find the value of b, we can use any of the points of the line, for example (0, 0)

This means that when x = 0, y also must be 0, then:

0 = 50*0 + b

0 = b

Then the equation is:

y = 50*x

Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:

y = 50*3.5 = 175

In the first 3.5 hours, the family travelled 175 miles.

6 0
2 years ago
Other questions:
  • Give an example of a real-world situation that could be represented by an algebraic expression
    11·1 answer
  • I need the answers to these math problems
    8·2 answers
  • There were 56 packages in a delivery truck.3/4 of the packages have been delivered. How many packages were delivered?
    9·1 answer
  • In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step
    10·2 answers
  • Choices.
    13·1 answer
  • Identify the polygon and classify it as regular or irregular
    6·1 answer
  • Can somebody solve this?
    14·2 answers
  • A line graph would be useful for:
    8·1 answer
  • The question is 2pX3qX5r
    14·1 answer
  • Provide the missing reasons for the proof. <br><br> Given: AB = CB<br> EB DB<br> Prove: ABC ~ EBD
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!