answer.
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
suter [353]
2 years ago
6

For the given cost function C(x), find the oblique asymptote of the average cost function C(X), C(x)=14,000+94x+0.03x^2

Mathematics
1 answer:
marusya05 [52]2 years ago
5 0
Answer: y = 0.03x + 94

--------------------------------------

Explanation:

Lets define A(x) to be the average cost function where 
A(x) = C(x)/x
basically you divide the given cost function C(x) by the number of units produced (x)

Dividing C(x) over x leads to:
A(x) = C(x)/x
A(x) = (14000+94x+0.03x^2)/x ... substitution
A(x) = (0.03x^2+94x+14000)/x ... rearrange terms
A(x) = (0.03x^2)/x+(94x)/x+(14000)/x ... break up the fraction
A(x) = 0.03x + 94 + (14000/x) ... simplify

If x were to head off to infinity, then the portion 14000/x approaches 0. 

So this is why the oblique asymptote is y = 0.03x + 94

Basically, in the long run, the average cost will approach y = 0.03x + 94

You might be interested in
Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°
tester [92]

Answer:

Since angle G is  

✔ the largest

 angle, the opposite side, JH, is  

✔ the longest side

. The order of the side lengths from longest to shortest is  

✔ HJ, GH, and GJ

.

Step-by-step explanation:

5 0
1 year ago
Read 2 more answers
Which mathematical concepts were the result of the work of René Descartes? Check all that apply. theory of an Earth-centered uni
Tanzania [10]
The appropriate response is the third one. A Cartesian organize framework is an arrange framework that determines each point exceptionally in a plane by a couple of numerical directions, which are the marked separations to the point from two settled opposite coordinated lines, measured in a similar unit of length. Each reference line is known as an organize pivot or only hub of the framework, and the point where they meet is its birthplace, as a rule at requested combine (0, 0).
4 0
2 years ago
Read 2 more answers
What number would you divide by to calculate the mean of 3, 4, 5, and 6?
Mademuasel [1]

Answer:

4

Step-by-step explanation:

Mean = sum of scores /number of scores

We have four scores given ,so, the sum of the scores given will be divided by the number of scores which is 4

4 0
2 years ago
Read 2 more answers
Rachel measures the lengths of a random sample of 100 screws. The mean length was 2.6 inches, with a standard deviation of 1.0 i
olga_2 [115]

Answer:

Step-by-step explanation:

Using the alternative hypothesis (µ < µ0),

To find the p-value with test statistic -1.25 and assuming a standard level of significance of 0.05, using a p value calculator, the p-value is 0.1057 which is great that 0.05. Thus, the results is not significant.

Using the p value calculation.

1. Check the left tailed z table as the test statistic is negative,

2. Then find the probabilitythat z is greater than your test statistic (look up your test statistic on the z-table- the value under 1.2 and 0.05 which is 0.8944

3. Then, find its corresponding probability, and subtract it from 1 to get your p-value- 1-0.8944 = 0.1056.

4 0
2 years ago
The first three terms of a geometric sequence are shown below. x+3,-2x2-6x,4x3+12x2,.... What is the eighth term of the sequence
nika2105 [10]
So hmm is a geometric sequence, meaning, the next term is found by multiplying it by "something", namely the "common ratio"

now, if the next term is the product of the common ratio and the previous term, that means, if we divide the previous term by the next term, the quotient will then be the "common ratio", let's do that then

let's divide the 2nd term by the 1st term then

\bf \cfrac{-2x^2-6x}{x+3}\implies \cfrac{-2x\underline{(x+3)}}{\underline{(x+3)}}\implies \boxed{-2x}\impliedby \textit{common ratio}\\\\&#10;-----------------------------\\\\

\bf n^{th}\textit{ term of a geometric sequence}\\\\&#10;a_n=a_1\cdot r^{n-1}\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{value of first term}\\&#10;r=\textit{common ratio}\\&#10;----------\\&#10;a_1=x+3\\&#10;n=8\\&#10;r=-2x&#10;\end{cases}&#10;\\\\\\&#10;a_8=(x+3)(-2x)^{8-1}\implies a_8=(x+3)(-2x)^7&#10;\\\\\\&#10;a_8=(x+3)(-2^7x^7)\implies a_8=(x+3)(-128x^7)&#10;\\\\\\&#10;a_8=-128x^8-384x^7
8 0
2 years ago
Read 2 more answers
Other questions:
  • zacharias is using the quadratic formula to solve the equation 0 = –2x2 5x – 3. he begins by substituting as shown. quadratic fo
    7·2 answers
  • nia has number cards for 2,3,8,9, and 5. what are all the different ways nia can arrange the cards to show only even numbers whi
    12·1 answer
  • In the data set below what is the mean absolute deviation 41,56,38,45,55,51,52
    5·1 answer
  • Triangle Z Y X is shown with its exterior angles. Line Z X extends through point N. Line X Y extends to point M. Line Y Z extend
    15·2 answers
  • You simultaneously flip a pair of fair coins. Your friend gives you one dollar if both coins come up heads. You repeat this ten
    6·1 answer
  • A=170 rounded to the nearest 10<br> b=93.2 rounded to 1 DP<br> Find the minimum (to 2 DP) of a÷b
    15·1 answer
  • harold collected data on the daily high temperature in two cites over a period of one week . he analyzed the data and found the
    12·1 answer
  • which of the following expressions is equivalent to 3a-2ax4a+6a? (a) 4a^2+6a (b)3a-20a^2 (c) 9a-8a^2 (d) a^2
    8·1 answer
  • Mary is paid $12 per hour at her weekend part-time job. She earns an average of $132 each weekend, but her earnings can vary by
    8·1 answer
  • Drew earns money washing cars for his neighbors on the weekends. Drew charges a set rate for each car he washes.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!