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Answer:
f(x) = x³ +3x² -6x -18
Step-by-step explanation:
In order for there to be a root of √6, there must be a factor of (x-√6). In order for there to be rational coefficients, there needs to be another factor of (x+√6) in the minimal polynomial. Then the minimal polynomial with the required roots is ...
f(x) = (x +3)(x -√6)(x +√6) = (x +3)(x² -6)
f(x) = x³ +3x² -6x -18
Answer:
1/30 of a scale.
Step-by-step explanation:
Multiply the 20 by 12 to convert it to inches. Then divide the answer by 8 to get the scale.
The ratio of the shortest sides is 12/5. Multiplying the other two sides of the smaller triangle by that ratio gives 15 and 18, so the ratios of all sides are the same. The triangles are similar.
ABC ~ ZYX
The largest/smallest scale factor is 12/5 = 2.4.
The total amount of cash money that Korey have is the summation of his savings and his inheritance which is equal to Korey cash = $8500 + $25,000.
To identify the amount needed to be funded by loans or investors, we need to know first the total of expenses plus set-up plus operation expenses and other expenses to operate the bookstore subtracted by his savings.
Thus, let "AL" be the amount needed through loans while letting "TE" for total expenses.
AL=TE-($8500+$25000)
AL=TE-$33,500
This is the equation needed to determine the amount needed.
