Answer:
When a quadratic equation's x^2 coefficient is positive, its graph is "U-Shaped" and has a minimum.
Of the equation's listed, the only equation that has a "U-Shaped" graph and would have a minimum is C or 3x^2 +2x -7.
Source: http://www.1728.org/quadr3.htm
Step-by-step explanation:
4(10n² - 2) - 5(8n² + 7) =
= 40n² - 8 - 40n² - 35 =
= 40n² - 40n² - 8 - 35 = -43 ← the end
Answer: No. You cannot multiply the matrices in any order. A*B is not defined. Also, B*A is not defined.
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Explanation:
Matrix A has 1 row, and 4 columns.
Matrix B has 3 rows, and 4 columns
In order for A*B to be possible, A has to have the same number as columns as B has rows. In other words, the inner dimensions have to match up. The '4' in '1x4' needs to match up with the '3' in the '3x4'. This match doesn't happen.
The same story happens with B*A, just things have been flipped.
B has 3 rows, 4 columns
A has 1 row, 4 columns
The "4 columns" of B does not match with "1 row" of A.
Answer:
Amount of retained earnings at the end of Year 1 was $8,550
Step-by-step explanation:
In Year 1
net income= $21,100
dividends = $12,550
In Year 2
Net income = $35,100
Paid dividends = $5,550
At the end of Year 1, the company had total assets of $161,000
At the end of Year 2, the company had total assets of $ $251,000
Retained Earning at the end of Year 1 = Opening balance + Net Income - Dividend paid
Retained Earning at the end of Year 1 = 0 + 21,100 - 12,550 = 8550
Answer:
simplifies to 
Step-by-step explanation:
Given expression 
We have to simplify the above expression,
Consider the given expression 
Multiply each term in brackets by
, we get,

Solving further, using
we get,

Thus,
simplifies to 