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vazorg [7]
3 years ago
11

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

given equation. Using this equation, find out how much the widgets would have to be sold for, to the nearest cent, in order for the company to break even. Only enter one possible price. y=-8x^2+348x-1705
Mathematics
1 answer:
defon3 years ago
7 0

Answer:

Price of widget to break even= $37.9

Step-by-step explanation:

We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;

y = -8x² + 348x - 1705

Now, the company will break even when it has made no profit. That is when, y = 0

Thus;

0 = -8x² + 348x - 1705

Rearranging,

8x² - 348x + 1705 = 0

Using quadratic formula ;

x = [-b ± √(b² - 4ac)]/2a

x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)

x = $5.63 or $37.87

We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.

We are told to approximate to nearest cent. Thus,

Price of widget = $37.87 ≈ $37.9

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Answer:

<u>The correct answer is 58 1/2 feet. See below to understand the difference of both methods.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the question using both methods:

Area of each student = 4 1/2 square feet

Number of students = 13

2. Let's use the first method to solve the question:

4 1/2 = 9/2 (Improper fraction because the numerator, 9 is bigger than the denominator, 2)

9/2 * 13 = 117/2

<u>117/2 = 58 1/2 square feet</u>

3. Let's use the second method to solve the question:

4 1/2 = 4 + 1/2 (Using addition to rewrite the fraction)

(4 + 1/2) * 13 = (4 * 13) + (1/2 * 13) (Distributive property of the multiplication)

(4 * 13) + (1/2 * 13) = 52 + 13/2 = 52 + 6 1/2

<u>52 + 6 1/2 = 58 1/2 square feet</u>

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3 years ago
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kkurt [141]

Answer:

C.

Step-by-step explanation:

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Which option below demonstrates the correct interval notation for a
Vladimir [108]

The correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

<h3>What is interval notation?</h3>

It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close bracket the close the brackets means the value is at the close bracket also included, and open bracket means the value at the open bracket does not include.

We have:

Continuous set of all numbers between 5 and 6, including 5, but not including 6.

From the above statement we can represent the number in the interval notation:

The numbers are between 5 and 6.

(5, 6)

As it is mentioned that 5 is included and 6 is not included, then:

[5, 6)

Thus, the correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

Learn more about the interval notation here:

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