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Aloiza [94]
2 years ago
10

How can we use the distributive property to find an expression equivalent to

Mathematics
2 answers:
koban [17]2 years ago
7 0

Answer: multiply 10 to both terms and subrtact products

Step-by-step explanation:

10(5 - 2x)

multipy 10 to both terms

50  20x

subtract products

50 - 20x

nordsb [41]2 years ago
4 0

Answer:

1. subtract 2×from get 3.×= 682+ 4672

<h2><em><u>pls</u></em><em><u> </u></em><em><u>like</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>follow</u></em><em><u> </u></em><em><u>me</u></em><em><u> </u></em><em><u>you</u></em><em><u> </u></em><em><u>bye</u></em><em><u> </u></em></h2>
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sergij07 [2.7K]
You can use any data set in this table (except the row with x) to get the ratio.

so 20/196 is the ratio which equals about .102041

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------------------------

Step-by-step explanation:

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1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3

Recall that m\log_b(n)=\log_b(n^m), so

ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3

Condense the left side by using sum and difference properties of logarithms:

\log_b(m)+\log_b(n)=\log_b(mn)

\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)

Then

ln(2/3 <em>x</em> ¹ʹ³) = 3

Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)

exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)

Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to

2/3 <em>x</em> ¹ʹ³ = exp(3)

Now solve for <em>x</em>. Multiply both sides by 3/2 :

3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)

<em>x</em> ¹ʹ³ = 3/2 exp(3)

Raise both sides to the power of 3:

(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³

<em>x</em> = 3³/2³ exp(3×3)

<em>x</em> = 27/8 exp(9)

which is the same as

<em>x</em> = 27/8 <em>e</em> ⁹

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