The coefficient of the x-term is -3. Add the square of half of that.
.. (-3/2)² = 9/4 . . . . . . the number you need to add.
x² -3x +9/4 = (x -3/2)²
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If the x² term has a coefficient other than 1, you need to factor that out first and deal with the remaining binomial. For example,
.. 2x² -6x = 2(x² -3x)
For this you would need to add 9/4 inside parentheses to get
.. 2(x² -3x +9/4) = 2(x -3/2)²
Of course, to keep the original value, you would need to subtract 2*(9/4) outside parentheses.
.. 2x² -6x = 2(x -3/2)² -9/2
There are 4 queens in the deck, hence (4 choose 2) = 4!/(2! (4-2)!) = 6 ways of getting 2 queens.
The other 3 cards in the deck can be any of the remaining 48 non-queens; there are (48 choose 3) = 48!/(3! (48-3)!) = 17,296 ways of getting these.
In total, there are (4 choose 2)*(48 choose 3) = 103,776 total possible hands.
E(x) = 10x - 30
the y int is -30........that means her expenses for the week was $ 30
<span>I = 1832 </span>
<span>P = 16000 </span>
<span>T = 206/365 years </span>
<span>Rate of interest = [100*I] / [P*T] </span>
<span>= [100*1832] / [16000*206/365] </span>
<span>= 20.29% per annum</span>
Answer:
37 minutes
Step-by-step explanation:
