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FinnZ [79.3K]
3 years ago
6

The revenue for a company producing widgets is given by y = -10x2 - 25x + 125, where x is the price in dollars for each widget.

The cost of the production is given by y = 60x - 10. Determine the price that will allow the production of the widget to break even.
Mathematics
1 answer:
liraira [26]3 years ago
4 0

When they create 3.44 products and make a revenue of $76.027, they will break even.

Step-by-step explanation:

To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).

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Step-by-step explanation:

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How many solutions is in 8+4x=2x+8+2x
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Read 2 more answers
The average marks of the first 10 students are 17 and that of the next 15 students is 18. find the mean of 25 students?
Ray Of Light [21]

Answer:

The mean of 25 students is 17.6

Step-by-step explanation:

The formula of the mean (average) is mean (average) = \frac{S}{N} , where S is the sum of the data, and N is the number of the data

∵ The average marks of the first 10 students are 17

- That means the mean is 17 and the number of students is 10

∴ Average = 17

∴ N = 10

∵ Average = \frac{S}{N}

- Substitute average by 17 and N by 10

∴ 17 = \frac{S}{10}

- Multiply both sides by 10

∴ 170 = S

∴ The sum of the marks of the first 10 students is 170

∵ The average of the next 15 students is 18

∴ Average = 18

∴ N = 15

- Substitute average by 18 and N by 15

∴ 18 = \frac{S}{15}

- Multiply both sides by 15

∴ 270 = S

∴ The sum of the marks of the next 15 students is 270

Now to find the mean of 25 students and the two sums and divide the answer by 25

∵ S = 170 + 270

∴ S = 440

∵ N = 25

∴ Mean = \frac{440}{25}

∴ Mean = 17.6

The mean of 25 students is 17.6

3 0
3 years ago
For the function f(x) = 2x+2, what is the new function and reflection<br> for-f(x)?
OlgaM077 [116]

Answer:

Step-by-step explanation:

for inverse of f(x)=2x+2

x=2y+2

x-2=2y

(x-2)/2=y

therefore the inverse f(x)=(x-2)/2

4 0
3 years ago
The length of a rectangle is 2 units shorter than one-fifth of the width, x.
sergey [27]

Answer:

C. P=\frac{12x}{5} + 4

Step-by-step explanation:

Width = x

Length = one fifth of width minus 2

Length = \frac{1}{5}x-2

Perimeter is given by the formula

P=2(l+b)

P=2(\frac{1}{5}x-2+x)

P=2(\frac{x}{5}-2+x)

P=2\times \frac{x-2 \times 5+5 \times x}{5}

P=2\times \frac{x-10+5x}{5}

P=2\times \frac{6x}{5} - 2\times \frac{-10}{5}

P=2\times \frac{6x}{5} + 2\times \frac{10}{5}

P=\frac{12x}{5} + 4

5 0
3 years ago
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