Check the Wronskian determinant:

The determinant is not zero, so the solutions are indeed linearly independent.
Answer:
-5
Step-by-step explanation:
x² - 4x - 45 = 0
(x - 9)(x + 5) = 0
x = 9 or -5
x² - 25 = 0
(x + 5)(x - 5) = 0
x = 5 or -5
-5 is a common factor between both of them
Answer:
75.44 Square Inches
Step-by-step explanation:
The diagram of the problem is produced and attached.
To determine the area of the cleaned sector:
Let the radius of the larger sector be R
Let the radius of the smaller sector be r
Area of the larger sector 
Area of the smaller sector 
Area of shaded part =Area of the larger sector-Area of the smaller sector

From the diagram, R=10 Inch, r=10-7=3 Inch, 
Therefore, Area of the sector cleaned

<u>Answer:</u>
<u>Step-by-step explanation:</u>
- <em>When we listen to the word "quotient", it means the solution to a division problem. </em>
- <em>An unknown number that has been multiplied by 2 is in the numerator because it came before the 7 in the statement. </em>
- <em>The number "7" is in the denominator because it came after the 2x in the statement. </em>
- <em>The word "is" represents an equal sign.</em>
- <em>The solution to the division problem (quotient) is 20. </em>
<u><em>If we put these clues together, we get 2x/7 = 20 as our translated equation.</em></u>
<u>Hence, our algebraic statement is 2x/7 = 20. The key is to listen to the statement. </u>

The amount of money in your account is mathematically given as
x = $56
This is further explained below.
<h3>What is an account?</h3>
Generally, An account is a term used in accounting to refer to assets, liabilities, income, costs, and equity.
In bookkeeping, an account is represented by a single page in a ledger, and any changes in value are chronologically documented using debit and credit entries.
These entries, which are also known as posts, are added to a book of final entries or ledger and form a part of it.
In conclusion, the amount of money in your account will be
18 * 8 = 144
Therefore
x=200 - 144
x = $56
Read more about the account
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