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Elis [28]
3 years ago
7

How do you know that a system has no solution?

Mathematics
1 answer:
stepan [7]3 years ago
4 0

Answer:

A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

Step-by-step explanation:

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A manufacturer has a monthly fixed cost of $22,500 and a production cost of $6 for each unit produced. The product sells for $9/
Valentin [98]

Answer:

Step-by-step explanation:

Profit is expressed as Revenue - Cost. Therefore

P = R - C

P(X) = R(x) - C(X)

Let x represent the number of units produced and sold.

a) A manufacturer has a monthly fixed cost of $22,500 and a production cost of $6 for each unit produced. This means that the cost function would be

C(x) = 22500 + 6x

b) The product sells for $9/unit. This means that the revenue function would be

R(x) = 9x

c) The profit function would be

P(x) = R(x) - C(x) = 9x - (22500 + 6x)

P(x) = 9x - 22500 - 6x

P(x) = 3x - 22500

d) when x = 6000,

P = 3 × 6000 - 22500 = 18000 - 22500 = -$4500. loss is made

when x = 9000,

P = 3 × 9000 - 22500 = 27000 - 22500 = $4500. profit is made

5 0
4 years ago
Round of 94136 to the nearest whole number
marta [7]

Answer:

94136

Step-by-step explanation:

It would just be the same thing because their is no decimal or fraction after the number and 94136 is already a whole number

3 0
3 years ago
Find the value of each expression. Show all of your work, including the order of the steps that you are using to solve the expre
konstantin123 [22]
The answer is:  "1.44<span>" .
</span>_______________________
Explanation:
_______________________

(1.2)² = (1.2) * (1.2) = 1.44 .
______________________
7 0
4 years ago
The product of two positive consecutive odd integers is 2703. What are the positive numbers?
liberstina [14]

Answer:

The positive numbers are 51 and 53

Step-by-step explanation:

Let first odd integer be x and another odd integer is (x+2).

According to the given condition,

The product of two positive consecutive odd integers is 2703 i.e.

x(x+2) = 2703

x^2+2x-2703=0

It is a quadratic equation. It can be solved as follows :

x = 51 and x = -53

Neglecting negative sign,

The first number = 51

Another number =(51+2) = 53

Hence, the positive numbers are 51 and 53.

7 0
3 years ago
A hockey season ticket holder pays $88.56 for her tickets plus $5.00 for a program each game. A second person pays $19.76 for a
Aleksandr-060686 [28]

Answer: x = 6

Step-by-step explanation: If you take 88.56 + 5x = 19.76x, an equation, you should first rearrange the variables to the left side of the equation: 5x - 19.76x = -88.56.

Next, you should combine your like terms. So, -14.76 = -88.56.

Then, divide both sides of the equation by the coefficient of variable. So, x = -88.56 / -14.76./

Lastly, calculate. Determine the sign for multiplication or division, so x = 88.56 / 14.76. Multiply both the numerator and denominator with the same integer. So, x = 8856 / 1476. Cross out the common factor, then you get your answer of x = 6

5 0
2 years ago
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