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Liula [17]
3 years ago
5

3 true conjectures that students may make concerning even and odd numbers

Mathematics
1 answer:
Elza [17]3 years ago
6 0
Even numbers are divided by two

Even numbers are easier to cope with in math problems

There are only odd prime numbers
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yes

Step-by-step explanation:

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The weight of 1000 identical samples of a substance is 0.1 pound. what is the weight of 10,000 samples
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A pair of shoes that normally sells for $74.88 goes on sale for 25% off. What is the sale price?
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The area of this rectangle is 165 sq meters the width is 22 meters what’s is the perimeter?
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Step-by-step explanation:

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7 0
3 years ago
A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.
serg [7]

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.


b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

6 0
3 years ago
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