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3 years ago

A number to the fourth power decreased by 600 is 25

Mathematics

2 answers:

skad [1K]3 years ago

6 0

Answer:

The number is 5 or -5.

Step-by-step explanation:

A number: x

A number to the fourth power: x^4

A number to the fourth power decreased by 600: x^4 - 600

A number to the fourth power decreased by 600 is 25: x^4 - 600 = 25

x^4 - 600 = 25

Subtract 25 from both sides.

x^4 - 625 = 0

Factor as difference of two squares.

(x^2 - 25)(x ^2 + 25) = 0

Factor the left factor as difference of two squares.

(x - 5)(x + 5)(x^2 + 25) = 0

x - 5 = 0 or x + 5 = 0 or x^2 + 25 = 0

x^2 + 25 does not have real solutions.

x = 5 or x = -5

muminat3 years ago

4 0

Answer:

x=5

Step-by-step explanation:

A number to the fourth power decreased by 600 is 25

x^4-600=25

Step 1- Add To Both Sides

x^4-600=25

+600+600

A number to the fourth power decreased by 600 is 25

Step 2- Find square root

x^4=625

x=5

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2 years ago

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1/7 ÷ 2 =

e-lub [12.9K]

Hey there!

1/7 ÷ 2

= 1/7 ÷ 2/1

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3 years ago

In shop a crunchy peanut butter costs $325 for 250g

FinnZ [79.3K]

Answer:

shop b

Step-by-step explanation:

We can find for example how much 100 grams of peanut butter cost in each shop using a proportion

shop A 100 : 250 = x : 325

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3 years ago

There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches

Aliun [14]

<h3>Answer: 28</h3>

==========================================================

Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

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

Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

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

Method 3

Use the nCr combination formula with n = 8 and r = 2

$n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\$

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

7 0

2 years ago