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Karo-lina-s [1.5K]
3 years ago
10

One number is nine more than another number. If the sum of the numbers is 65 find both numbers

Mathematics
1 answer:
velikii [3]3 years ago
6 0

Answer:

THEY ARE 37 AND 28

Step-by-step explanation:

LET THE NUMBERS BE X AND Y

X = 9 + Y

X - Y = 9 ........1

X + Y = 65 .....2

ADDING 1 AND 2

2X = 74

DIVIDING BY 2

2X/2 = 74/2

X = 37

AND X = 9 + Y

: Y = X - 9

PUTTING X = 37

Y = 37 - 9

Y = 28

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Answer:

R(x) =300·x - 2·x²

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Step-by-step explanation:

Given that the price function P(x) = 300 -2·x

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The revenue function R(x) is given by  bike price × total number of bikes manufactured and sold

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∴ C(x) = £5000 + £40 × x

The break even point is given by the relation;

Total revenue - total cost = 0

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300·x - 2·x² - (5000 + 40·x) = 0

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Factorizing, we have;

(x - (65 -5√69))(x - (65 +5√69))

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