The number of cars produced when x dollars is spent on labor and y dollars is spent on capital invested by a manufacturer can be modeled by the equation 1 2 30xi y3 = 360. dy a. Find a formula in terms of x and y for dx dy dx dy at the point (27,8). dx b. Find the value of of Round to 4 decimal places. ||

Q: Drag the three points so they simultaneously follow both a LINEAR pattern and an EXPONENTIAL pattern

A: Consider the three points (0, 0), (1, 1) and (-1, -1). They follow the linear pattern y=x And also…

Q: It takes 15 minutes to preheat your oven to 325 degrees. For an oven preheated to 325 degrees, the…

A:

Q: Grayson and Claire are reading the same book. At the beginning of the month, Grayson was on page 40…

A: Given :  Initial condition,  At the start, Grayson is on page 40 Claire is on page 19 Grayson reads…

Q: According to 2010 census data, Houston was the fourth largest city in the US. In 2011, its…

A: Given :  Population in 2011 is 2145,000 which is increase of 2.2% compared to the 2010 Let…

Q: An antiquarian has just bought a cupboard at a price of €500. The sales value of the cupboard at…

A: here given that An antiquarian has just bought a cupboard at a price of €500 and The sales value of…

Q: The equation below best describes which role of health? T=8-TS=TW+T+ TH Oa. Health as a consumption…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is​…

A:

Q: Your new job guarantees you an eight percent raise for each year with the company. If your initial…

A: Initial salary is $42,200 with raise of 8% each year, After completing the first year, salary will…

Q: A computer costs $800. It loses 1/4 of its value every year after it is purchased. Write an…

A: In the first year, the value of computer is $800.  It looses 14th of its value every year. In the…

Q: The value of a piece of machinery depreciates linearly until it has been reduced to a value of zero.…

A:

Q: Sacred Heart’s yearbook committee is comparing prices from two different companies to print this…

A: given that  Company A: charges $5 000 for set up plus $4 per copy.Company B: charges $14 per copy…

Q: A $25,000 machine depreciates linearly to 0 over a 10 year period. What is the valye of the machine…

A:

Q: The number of hours of video uploaded to YouTube per minute is shown in the table below. Year # of…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: An important advance in ecological research is the Theory of Island Biogeography, which demonstrates…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: An important advance in ecological research is the Theory of Island Blogeography, which demonstrates…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Write an equation relating the variables in each of the following situations. a. The pay P for t…

A:

Q: A company is planning to manufacture mountain bikes. Fixed monthly cost will be $300,000 and it will…

A: Number of mountain bikes are x The variable cost of producing  each  mountain  bike is $ 200. So,…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.