Mathematics, 19.10.2020 17:01 keesbre

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.

Answers: 1

Show answers

Answers

The piece wise definition of the cost f(x) for a month in which a member uses a car for hours is given by the equation, f(x)= 50+9(x-10) .

Given,

Membership plan is $\$50$ per month.

We have to write a piece wise definition of the cost f(x) for a month in which a member uses a car for hours.

Here, $\$$ $50 per month fees includes 10 hours of driving each month, so the cost for a month is given as,

f(x)= 50+9(x-10)

Here is the no. of additional hours for the month.

Further,

f(x)= 9x-40 .

Now at,

$lim _{x \to 10^+}f(x) = 9\times 10-40\\$

Or,

$f(x)= 90-40\\f(x)=50$

Similarly, at left limit,

$lim _{x \to 10^-}f(x) = 9\times (-10)-40$

Or,

f(x)=-90-40

f(x)=-130

Finally at x=10 , $f(x)=9\times10-40$

$f(x)=90-40\\f(x)=50$

Since $lim{x \to}10^+$ $\neq limx\to 10^-\neq f(x) (at x= 10)$

So the required function f(x) is discontinuous at x=10

Hence the piece wise definition of the cost f(x) for a month in which a member uses a car for hours is given by the equation, f(x)= 50+9(x-10) .

For more details on limit follow the link below:

link

Answer from: tamiawilliams3pe55hs

Answer and Step-by-step explanation:

Given:

Charges includes 10 hour per month = $50

Charges for additional hour = $9

Piecewise definition of cost F(x) for a month in which a member use a car for hours.

Find limits?

Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.

Lim x → 10- F(x) = 50$

Lim x → 10 [ 9x – 70] = 9( 10) – 70

= 90 – 70

= 20 > 10

Limit does not exist.

Lim x → 10+ F(x) = 50$

Lim x → 10+ F(x) = Lim x → 10+ [90x – 70]

= 90 – 70

= 20 > 10

Limit does not exist.

Lim x → 10 F(x) = 50$

An integer or an decimal.

The limit does not exist.

Answer from: Quest

maybe showing the graph would

step-by-step explanation:

-387129 iq

Answer from: Quest

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you

In the diagram below, and are tangent to o. what is the measure of e?

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 13:30, ctyrector

∠1 and ∠2 are complementary. ∠1=x°∠2=(3x+30)° select from the drop down menu to correctly answer the question. what is the value of x? . a.15 b.25 c.30 d.40 e.55

Answers: 1

continue

Mathematics, 21.06.2019 21:30, leo4687

The diagram represents the polynomial 4x2 + 23x – 72. what is the factored form of 4x2 + 23x – 72? (4x + 8)(x – 9) (4x – 8)(x + 9) (4x + 9)(x – 8) (4x – 9)(x + 8)

Answers: 2

continue

Mathematics, 21.06.2019 21:30, Diazvictoria

Worth 15 points handsome jack is buying a pony made of diamonds. the price of the pony is p dollars, and jack also has to pay a 25% diamond pony tax. which of the following expressions could represent how much jack pays in total for the pony? a= p = 1/4 b= p+0.25p c=(p + 1/4)p d=5/4p 0.25p choose 2 answers

Answers: 1

continue

Mathematics, 21.06.2019 22:20, noriega16

Factor and solve to find roots x squared -x - 90 =0

Answers: 1

continue

You know the right answer?

A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of dr...