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Ne4ueva [31]
3 years ago
5

The profit function for a new product is given by p(x) = -4x^2+28x-40, where x is the number sold in thousands. How many items m

ust be sold for the company to break even?
Mathematics
1 answer:
Ivenika [448]3 years ago
3 0
The break even point is when profit is equal to zero, or in this case when p(x)=0

4x^2-28x+40=0

4(x^2-7x+10)=0

4(x^2-2x-5x+10)=0

4(x(x-2)-5(x-2))=0

4(x-5)(x-2)=0

So the break even points are when x=2 and 5, which is when 2000 and 5000 units are sold.
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Rolling a Red and Yellow Dice
grandymaker [24]

Answer:

Option C 5/12 is correct option

Step-by-step explanation:

We have to find the probability that shows yellow dice has a larger value than the red dice.

Probability= total no of favorable outcomes / total no of outcomes

in our case, considering the data set, we have to find those pair where value of yellow die is greater than the red die. Where (1,2) represents 1 on the red die and 2 on the yellow die

(1,2) (1,3) (1,4) (1,5) (1,6)

     (2,3) (2,4) (2,5) (2,6)

              (3,4) (3,5) (3,6)

                       (4,5) (4,6)

                                (5,6)

These are the possibilities where yellow die has greater value than red die.

total no of favorable outcomes = 15

total no of outcomes = 36

probability that yellow die has greater value than red die = 15 / 36

                                                                                                = 5/ 12

Option C 5/12 is correct option

3 0
3 years ago
Find the area of triangle GHJ
iogann1982 [59]

Answer:

The area of this triangle would be 24.

Step-by-step explanation:

In order to find this, we need to first determine what to use as the base of the triangle. Since when we draw it, the line between G and H is a flat line, it is the easiest to use as a base. Finding the length of the base is easy because we are simply looking for the difference in the x values.

6 - -2 = 8 = base

Now that we have the base, we need to find the height. The height is always the perpendicular line from the 3rd point to the base line. In this case, this would just be the change in y from the other two.

5 - -1 = 6 = height

Now that we have those two distances, we can just use the triangle formula.

A = 1/2bh

A = 1/2(8)(6)

A = 24

5 0
3 years ago
Which properties are used to simplify 4/5y+3(2/5x+7/5y) to 5y+6/5x
SSSSS [86.1K]
4/5y + 3(2/5x + 7/5y)...distribute thru the parenthesis
4/5y + 6/5x + 21/5y ...combine like terms
25/5y + 6/5x.....reduce
5y + 6/5x
8 0
3 years ago
How do you turn 3/5 to a decimal​
Simora [160]

Answer:  the answer is 0.6

Step-by-step explanation:

you divide 3 by 5

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3 years ago
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Sauron [17]

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