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NeX [460]
3 years ago
10

Mark all the integers below. 2 2/3 1 -2 6.78 -25

Mathematics
2 answers:
Alja [10]3 years ago
8 0
The integers are 1, -2, and -25
frutty [35]3 years ago
7 0
Answer:
1, -2 and -25 are integers

Explanation:
Integers are defined as whole numbers (no decimals or fractions are included).
Integers include:
set of positive numbers {1,2,3,4,.....etc}
zero {0}
set of negative numbers {-1,-2,-3,-4,....etc}

Now, applying this to the given choices, we will find that the only three whole numbers are 1, -2 and -25. Therefore, these are the only integers.

As for other choices:
2 2/5 is a mixed number (has a fraction), therefore, not an integer
6.78 is a decimal, therefore, not an integer

Hope this helps :)
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5 0
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a soft drink vendor at a popular beach analyzes his sales recods and finds that if he sells x cans of soda pop in one day, his p
ZanzabumX [31]

Complete Question:

A soft-drink vendor at a popular beach analyzes his sales records, and finds that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x) = -0.001x² + 3x - 1800.

a. What is his maximum profit per day?

b. How many cans must be sold in order to obtain the maximum profit?

Answer:

a. $450

b. 1500 cans

Step-by-step explanation:

Given the following quadratic function;

P(x) = -0.001x² + 3x - 1800  ......equation 1

a. To find his maximum profit per day;

Since P(x) is a quadratic equation, P(x) would be maximum when x = \frac {-b}{2a}

Note : the standard form of a quadratic equation is ax² + bx + c = 0  ......equation 2

Comparing eqn 1 and eqn 2, we have;

a = -0.001, b = 3 and c = -1800

Now, we determine the maximum profit;

x = \frac {-b}{2a}

Substituting the values, we have;

x = \frac {-3}{2*(-0.001)}

Cancelling out the negative signs, we have;

x = \frac {3}{2*0.001}

x = \frac {3}{0.002}

x at maximum = 1500

Substituting the value of "x" into equation 1;

P(1500) = -0.001 * 1500² + 3(1500) - 1800

P(1500) = -0.001 * 2250000 + 4500 - 1800

P(1500) = -2250 + 2700

P(1500) = $450

b. Therefore, the soft-drink vendor must sell 1500 cans in order to obtain the maximum profit.

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Answer:

Y = 18

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Step-by-step explanation:

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