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3 years ago

Find the largest value of x that satisfies the equation |5x − 1| = x + 3.

Mathematics

1 answer:

Goshia [24]3 years ago

5 0

Answer:

Step-by-step explanation:

Since you are going for the largest value of x that satisfies the equation, you don't need to worry about negative numbers, and therefore don't need to worry about the absolute value.

5x-1=x+3

5x=x+4

4x=4

x=1

Hope this helps!

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How much longer do the turkey need to cook

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3 years ago

Read 2 more answers

If x+1/x= 3, then prove that m^5+1/m^5= 123

alina1380 [7]

9514 1404 393

Explanation:

We can start with the relations ...

$\displaystyle\left(x+\frac{1}{x}\right)^3=\left(x^3+\frac{1}{x^3}\right)+3\left(x+\frac{1}{x}\right)\\\\\left(x+\frac{1}{x}\right)^5=\left(x^5+\frac{1}{x^5}\right)+5\left(x^3+\frac{1}{x^3}\right)+10\left(x+\frac{1}{x}\right)\\\\\textsf{From these, we can derive ...}\\\\x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(\left(x+\frac{1}{x}\right)^3-3\left(x+\frac{1}{x}\right)\right)-10\left(x+\frac{1}{x}\right)$

$\displaystyle x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(x+\frac{1}{x}\right)^3+5\left(x+\frac{1}{x}\right)\right)\\\\x^5+\frac{1}{x^5}=3^5 -5(3^3)+5(3)\\\\=((3^2-5)3^2+5)\cdot3=(4\cdot9+5)\cdot3=(41)(3)\\\\=\boxed{123}$

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3 years ago

. A pack of baseball cards has 12 trading cards and 2 stickers. In a

erik [133]

Answer:
432 cards and 72 stickers
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3 years ago

What are the following numbers writen as powers? 243

puteri [66]

Answer:

$243=3^5$

Step-by-step explanation:

We have to write 243 as a power of some number.

So, if we factorize 243 we get,

243 = 3 × 3 × 3 × 3 × 3

Therefore, we can write 243 as a power of 3.

No other number can be written in powers of 243 because it do not contain any other factor than 3.

Hence, 243 can be written as :

$243=3^5$

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4 years ago

A performer expects to sell 5000 tickets for an upcoming concert. They plan to make a total of 311,000 in sales from these ticke

dybincka [34]

Answer:

62.2x=y

Step-by-step explanation:

cost/ticket (c)

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c = $62.20

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3 years ago