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DIA [1.3K]
3 years ago
8

Give a direct proof that the sum an even integer and an odd integer is odd.

Mathematics
1 answer:
mina [271]3 years ago
5 0
Even integer: 2 x a, where a is a  natural number without 0;
Odd integer : 2 x b + 1 , where b is a natural number;
So, 2 x a + 2 x b+ 1 = 2 x ( a + b ) + 1, which is an odd integer.
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A small business produces and sells balls. The fixed costs are $20 and each ball costs $4.32 to produce. Each ball sells for $8.
Gemiola [76]

Part 1:

Fixed Cost, f = $20

number of balls = n

Cost of each ball, c = 4.32

Price of each ball, p = 8.32

Equation for total cost:

Total Cost of balls will come by adding the cost of all balls and the fixed cost

Total Cost = number of balls made × Cost of each ball + fixed cost

<em>C = 4.32n + 20</em>

Equation for revenue:

Revenue  = Number of balls made × price of each ball

<em>R =  8.32n </em>

Part 2:

Use the graphing method to determine how many balls must be sold to break even

Breakeven means Revenue =  total Cost

This happens at a point (5,41.6) where n = 5 is the number of balls sold

and C = 41.6 is the total cost

When 5 balls are sold there will be breakeven

R = 4n - 20  

C = 4.32n + 20

Red line represent Cost

Black line represent Revenue

5 0
4 years ago
What is the minimum value for g(x)=x2−10x+16 ?
mr_godi [17]
G(x)=x^2-10x+16
g(x)=x^2-10x+25-25+16
g(x)= (x-5)^2-9
minimum value is -9
3 0
3 years ago
;-; hehehehehehehehehe
iogann1982 [59]

Answer: hahahahahaha

Step-by-step explanation:

Hahahahaha mines more cringe ;)

8 0
3 years ago
Read 2 more answers
What is the mean of the values in the dot plot?<br><br><br><br> Enter your answer in the box.
marissa [1.9K]

Answer:

the mean is 46.

Step-by-step explanation:

The total is 460 and divided by the amount of numbers(10) is 46.

4 0
3 years ago
What is the value of the function f(x) = 1.5x + 7.6 when x = 1.1?
Triss [41]
So the equation is 1.5(1.1) +7.6


1. Multiply 1.5* 1.1 = 1.65

2. Add 1.65 +7.6= 9.25


I would have to say the answer is 9.25
7 0
4 years ago
Read 2 more answers
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