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2 years ago

Determine points of a function that have horizontal or vertical tangent lines f(x)= (2x^3+3)/((x-1)

Mathematics

1 answer:

yan [13]2 years ago

6 0

Answer:

as x tends to infinity y=infinity

as x tends to 1 y=infinity

x=1 vertical asymptote

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Paul volunteered at the senior center for 3 9/10 hours on Saturday and 5 1/6 hours on Sunday. How many hours did Paul volunteer

AleksandrR [38]

Answer:

9 1/15 Hours

Step-by-step explanation:

First you must find the LCD of the two fractions. Then, you can add them together very easily. Last, just simplify.

Hope this helps!

8 0

2 years ago

Which set of lengths are not the side lengths of a right triangle? (A-28, 45, 53) (B-13, 84, 85) (C-36, 77, 85) (D-16, 61, 65) [

nikklg [1K]

Side lengths 16, 61, and 65 are not part of a right triangle.

A right triangle's sides should follow this formula, C being the largest number:

$a^{2} + b ^{2} = c^{2}$

$16^{2} = 256$

$61^{2} = 3721$

$65^{2} = 4225$

256 + 3721 = 3977

$3977 \neq 4225$

6 0

2 years ago

Recall Marginal Cost is the derivative of Total Cost, and Fixed Cost is the cost of producing zero units.

olga nikolaevna [1]

Answer:

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

Step-by-step explanation:

The Marginal Cost is given by the following function

$MC(q) = 200*(q+9)^{-5}$

The total cost function is the integrative of the marginal cost function. So:

$TC(q) = \int {MC(q)} \, dq$

$TC(q) = \int {200*(q+9)^{-5}} \, dq$

$TC(q) = -50*(q+9)^{-4} + K$

In which K, the integrative constant, is the fixed cost. So $K = 4000$ .

1. Find the total cost of producing 91 units of ACME rocket fuel.

This is TC(91).

$TC(91) = -50*(91+9)^{-4} + 4000 = 3999.99$

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

8 0

3 years ago

30 POINTS PLEASE ANSWER CORRECTLY AND CLEARLY THANK YOU!

TiliK225 [7]

Answer:

Step-by-step explanation:

The investment grows by 12 percent every year. Therefore, if you multiply the 1500 by 0.12 you should get the value of the amount of extra money made in one year. If you substitute 2 into t you get the value increased by year 2 and so on.

5 0

2 years ago

Read 2 more answers

What is the value of y when x= -1 ?

stellarik [79]

Answer:

If y = x then when x = -1 then y = -1

Step-by-step explanation:

6 0

2 years ago