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Questions and Answers
What are the zeros of the quadratic function 𝑓(𝑥) = 2𝑥^2 − 𝑥 − 3?
What are the zeros of the quadratic function 𝑓(𝑥) = 2𝑥^2 − 𝑥 − 3?
- 𝑥 = 2 and 𝑥 = -1 (correct)
- 𝑥 = 1 and 𝑥 = -2
- 𝑥 = 3 and 𝑥 = -2
- 𝑥 = -3 and 𝑥 = 1
For a Fitness Health Club, if the demand equation is 𝒒 = -0.06𝑝 + 84, what does 'p' represent in the equation?
For a Fitness Health Club, if the demand equation is 𝒒 = -0.06𝑝 + 84, what does 'p' represent in the equation?
- Number of quantities produced
- Price of a unit of goods produced
- Annual membership fee (correct)
- Total cost
What does the total cost function 𝑪(𝑄) = 𝒎𝑄 + 𝒃 represent?
What does the total cost function 𝑪(𝑄) = 𝒎𝑄 + 𝒃 represent?
- Fixed cost (correct)
- Variable cost
- Number of quantities produced
- Total revenue
In the context of quadratic functions, what does the total profit function 𝝅(𝑄) represent?
In the context of quadratic functions, what does the total profit function 𝝅(𝑄) represent?
If the total revenue function is given by 𝑅(𝑄) = 𝑃𝑄, what does 'P' represent?
If the total revenue function is given by 𝑅(𝑄) = 𝑃𝑄, what does 'P' represent?
What are the turning points of the quadratic function 𝑓(𝑥) = 2𝑥^2 − 𝑥 − 3?
What are the turning points of the quadratic function 𝑓(𝑥) = 2𝑥^2 − 𝑥 − 3?
What is the equation of a quadratic function?
What is the equation of a quadratic function?
When is a graph of a quadratic function concave?
When is a graph of a quadratic function concave?
What is the formula to find the value of $x$ at the maximum or minimum point of a quadratic function?
What is the formula to find the value of $x$ at the maximum or minimum point of a quadratic function?
Which method can be used to solve a quadratic equation?
Which method can be used to solve a quadratic equation?
For the equation $3Q^2 - 2Q + 1 = 0$, what is the correct way to find the solution?
For the equation $3Q^2 - 2Q + 1 = 0$, what is the correct way to find the solution?
In drawing the graph of a quadratic function, what should you do after finding the $x$-intercepts?
In drawing the graph of a quadratic function, what should you do after finding the $x$-intercepts?
What is the formula for annual revenue as a function of the membership price?
What is the formula for annual revenue as a function of the membership price?
What is the formula for the annual cost function?
What is the formula for the annual cost function?
What does the profit function represent in this scenario?
What does the profit function represent in this scenario?
At what price should the annual membership fee be set to obtain maximum revenue?
At what price should the annual membership fee be set to obtain maximum revenue?
What is the maximum possible revenue that can be obtained?
What is the maximum possible revenue that can be obtained?
At what price should the annual membership fee be set to obtain maximum profit?
At what price should the annual membership fee be set to obtain maximum profit?
What is the formula for the cost of operating George's shop per day?
What is the formula for the cost of operating George's shop per day?
What does George need to find to minimize his shop's operating cost?
What does George need to find to minimize his shop's operating cost?
What is the minimum cost of operating George's shop per day?
What is the minimum cost of operating George's shop per day?
What is the formula for the average daily cost per batch of sandwiches as a function of x?
What is the formula for the average daily cost per batch of sandwiches as a function of x?
What is the average daily cost per batch of sandwiches when 7 batches are produced?
What is the average daily cost per batch of sandwiches when 7 batches are produced?
For the first trial example, what is the total cost function if x products are demanded in a particular week?
For the first trial example, what is the total cost function if x products are demanded in a particular week?
In the second trial example, what is the firm's total revenue function given a constant selling price of GH¢60?
In the second trial example, what is the firm's total revenue function given a constant selling price of GH¢60?
In the second trial example, what is the profit function for the firm with a fixed cost of GH¢450 and variable cost of GH¢35?
In the second trial example, what is the profit function for the firm with a fixed cost of GH¢450 and variable cost of GH¢35?
Express the firm's total cost (TC) as a function of output (x) given a fixed cost of GH¢125,000 and variable cost of GH¢685 per item manufactured.
Express the firm's total cost (TC) as a function of output (x) given a fixed cost of GH¢125,000 and variable cost of GH¢685 per item manufactured.
In Ms. Tilden's pie shop scenario, how many units of pies must be sold to maximize profit if the profit function is given by 𝑃(𝑥) = 120𝑥 − 𝑥?
In Ms. Tilden's pie shop scenario, how many units of pies must be sold to maximize profit if the profit function is given by 𝑃(𝑥) = 120𝑥 − 𝑥?
What is the maximum possible profit (in dollars) for Ms. Tilden's pie shop if the profit function is 𝑃(𝑥) = 120𝑥 − 𝑥?
What is the maximum possible profit (in dollars) for Ms. Tilden's pie shop if the profit function is 𝑃(𝑥) = 120𝑥 − 𝑥?
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