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nataly862011 [7]
3 years ago
7

For fx) = 3x+1 and g(x) = х2 - 6, find (f- g)(x).

Mathematics
1 answer:
sasho [114]3 years ago
4 0

(f-g)(x) is x² - 3x - 7

Step-by-step explanation:

  • Step 1: Given details are f(x) = 3x + 1, g(x) = x² - 6
  • Step 2: Calculate (f-g)(x) by using the formula (f-g)(x) = f(x) - g(x)

⇒ (f-g)(x) = (3x + 1) - (x² - 6)

⇒ (f-g)(x) = -x² + 3x + 1 + 6

⇒ (f-g)(x) = x² - 3x - 7

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Marketing Addis prepares marketing plans for growing businesses. For 2017, budgeted revenues are $1,500,000 based on 500 marketi
Olegator [25]

Answer:

1. Break even points = 400 units

margin of safety = $100

Explanation:

Given data:

budget revenue in 2017 = $1,500,000

Fixed cost =$400,000

total marketing plan = 500

take contribution margin/unit =  Revenue - variable cost

                                                = 3000 - 2000

contribution margin/unit = $1000

take break even sales $400

break even point    

Break even point  

margin of safety is calculated as

margin of safety  = total quantity to be sold - break even sales

                            = 500 - 400 = $100

2. A.

(1)  

 

Break even in marketing plan = 400

(2) Break-even in dollars:

= Break-even in marketing plan × Average rate per plan

= 400 × 3,000

= 1,200,000

(3) Margin of safety = Actual sales - Break-even sales in dollars

                               = 1,500,000 - 1,200,000

                               = 300,000

 

 

                                            = 20%

B.

(1) Contribution margin per marketing plan = Sales - Variable cost

                                                                  =  $4,000 - $2,000

                                                                  = $2,000

 

 

Break even in marketing plan = 200

(2) Break-even in dollars:

= Break-even in marketing plan × Average rate per plan

= 200 × 4,000

= 800,000

(3) Margin of safety = Actual sales - Break-even sales in dollars

                               = 1,500,000 - 800,000

                               = 700,000

 

 

                                            = 47%

Therefore, option (a) would achieve the margin of safety ratio more than 45%.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Let first number be x and another number is y.

A rational number is a fraction that can be expressed in the form of x/y.

A rational number between x and y is given by :

R=\dfrac{x+y}{2}

So,

If x and y are two rational numbers such that x < y , then \dfrac{x+y}{2} is a rational number in between x and y.

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