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uysha [10]
3 years ago
8

X^4-100=0 solve the equation by factoring

Mathematics
1 answer:
timurjin [86]3 years ago
8 0
x^4-100=0 \\
(x^2)^2-10^2=0 \\
(x^2-10)(x^2+10)=0 \\
x^2-10=0 \ \lor \ x^2+10=0 \\
x^2=10 \ \lor \ x^2=-10 \\
x=-\sqrt{10} \ \lor \ x=\sqrt{10} \ \lor \ x=-\sqrt{-10} \ \lor \ x=\sqrt{-10} \\
\boxed{x=-\sqrt{10} \hbox{ or } x=\sqrt{10} \hbox{ or } x=-i\sqrt{10} \hbox{ or } x=i\sqrt{10}}
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The original price of the dress is $75
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2 years ago
180 students in a tenth grade high school class take a survey about which video game consoles they own.
Fantom [35]

Answer:

P(A) = 44.44%

P(B) = 50%

P(B|A) = 37.5%

P(B|A) different from P(B).

A and B are independent.

Step-by-step explanation:

If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%

If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%

If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%

To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%

P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.

5 0
3 years ago
-3.6,-5.4,-8.1,-12.15 arithmetic or geometric or neither.
Brums [2.3K]

Answer:

Geometric Sequence

Step-by-step explanation:

1. Check the difference.

The difference between the 1st and 2nd term

( - 5.4) - ( - 3.6) =  - 1.8

The difference between the 2nd and 3rd term

( - 8.1) - ( - 5.4) =  - 2.7

The difference is not the same. Therefore, it is not an arithmetic sequence.

2. Check the ratio

The ratio between the 1st and 2nd term

( - 5.4) \div ( - 3.6) = 1.5

The ratio between the 2nd and 3rd term

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The ratio is the same. Therefore, it is a geometric sequence.

8 0
3 years ago
The sum of two numbers is −24. One number is 104 less than the other. Find the numbers.
velikii [3]

Answer:

the answer is 80

Step-by-step explanation:

104-24

80

5 0
3 years ago
I’m not sure what this is asking me to do?
Molodets [167]

Answer:

Step-by-step explanation:

 -2 = 17

You need find what number that need to be in the blank spot

17 + 2 = 19

19 - 2 = 17

In the second question u need to find equal number

17 - 3 = 16 - 2

14             14

They need to be equal - =

19 - 6 = 18 - 5

13             13

3 0
3 years ago
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