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Matthew B.
Senior Director at The Neola Group
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SAT
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Question:

$$n^{2} + 9n = 52$$ and $$n$$>0. What is the value of $$n$$?

Matthew B.

$$n$$ = 4 If you make the equation, $$n^{2} + 9n- 52 = 0$$, you can use the quadratic equation to find the answer. $$n = \frac {-9 \pm \sqrt{9^{2} -4(1})(-52)} {2(1)}$$ $$n = \frac {-9 \pm \sqrt{{81} -(-208)}} {2}$$ $$n = \frac {-9 \pm \sqrt{{289}}} {2}$$ $$n = \frac {-9 \pm {{17}}} {2}$$ The possible values of $$n$$ are therefore $$n = -13$$ or $$n = 4$$ and because $$n$$>0, the answer is 4

Political Science
TutorMe
Question:

What is the difference between an aristocracy and an oligarchy?

Matthew B.

In an aristocracy, power is held by the nobility of that society. The authority to rule typically passes from generation to generation. In an oligarchy, the power is held by a small group of people but not necessarily nobility. Inheritance of rule is not a contingency of an oligarchy and they often lead to oppressive and sometimes tyrannical governments.

ACT
TutorMe
Question:

Which one of these sentences is grammatically incorrect? “I go to the store.” “I have gone to the store.” “I had went to the store.”

Matthew B.

“I had went to the store.” The correct version of this sentence would be “I went to the store.”

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