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Evgen [1.6K]
3 years ago
7

Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the same number, enter it into bot

h blanks.) slader
Mathematics
1 answer:
DedPeter [7]3 years ago
3 0

Answer:

X = 8, y = 8

Step-by-step explanation:

This question is an optimization problem. Two equations are going to be needed here

n = x+y

P = xy

Such that 64 = xy

When we divide through by x we get:

y = 64/x

So that n becomes:

n = x + 64/x

n = x+64x^-1

We take derivative

n' = 1-64x^-2

When n' = 0 then a min|max occurs

0 = 1-64x^-2

Such that:

64/x² = 1

Divide through by x²

64 = x²

x = √64

x = 8

Remember y = 64/x

So,

Y = 64/8

Y = 8.

X = 8, y = 8

Thank you!

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Yakvenalex [24]

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Step-by-step explanation:

(a-6) = 0

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7 0
3 years ago
Translate the following words into an algebraic expression.
olganol [36]

Answer:

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You are probably very used to translating words into numerical expressions. Think about this...

We are used to seeing the words, plus, sum, difference, minus, product ...

The good news is that these very same words that we use to write numerical expressions are going to be used to write algebra expressions.

The difference between a numerical expression and an algebra expression is that we will be using variables when writing an algebraic expression. Instead of "8 plus 9" (with two given numbers), you would see, "a number plus 9".

We don't know exactly "what number", so we would use a variable to indicate that it can be any number.

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As, you can see from the red, bold words, the key words for addition are: sum, more than, plus, increase, add, older than.

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5 0
3 years ago
Read 2 more answers
-6(-4x + 3) = 2(10x + 3)
Naya [18.7K]

Answer:

x = -6/11

Step-by-step explanation:

-6(-4x + 3) = 2(10x + 3)

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-------   ------

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Arte-miy333 [17]
1 = 90
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have a merry christmas :)
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