Here are the basic steps to follow to simplify an algebraic expression:<span>remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
<span>combine the constants.</span></span>
1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2-2 = 4
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.
Let x be a random variable representing the length of a text messaging conversation, then
P(x > 3) = 1 - P(x < 3) = 1 - P(z < (3 - 2)/0.5) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275
Answer:
A. No, Should not in any way write the check today and neither record the expense or even write the check tomorrow.
B. The company will be affected if the check
was cut today and the expense was not recorded, which means that the net income of the current fiscal year will be increased by the amount of $2,000 while the net income of the next year will be reduced by the amount of $2,000 and this tend to happens due to some error.
Step-by-step explanation:
A. Based on accounting principle every debit entry must have a corresponding credit entry which means that in a situation where a check is been cut today for miscellaneous expense and for supplies the Miscellaneous expense account should be debited while the bank account should as well be credited based on the double entry principle because if not so the current year net income will wrongly shows and be higher with the amount of $2,000.
B. In a situation where the check was cut today and expense was recorded the following day or tomorrow it means that the current year financial statement net income will be increased by the amount of $2,000 while the amount shown in the balance sheet will decreased by the amount of $2,000.
Therefore I can issue a check today and as well record the expense the same day in which the check was issued.
SOH CAH TOA
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Sin D = 13 sqrt3/26 = 0.76
Sin E = 13/26 = 0.47
Cos D = 13/26 = 0.87
Cos E = 13 sqrt3/26 = 0.64
