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Matthew B.
Senior Director at The Neola Group
Tutor Satisfaction Guarantee
SAT
TutorMe
Question:

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

Matthew B.
Answer:

$$n$$ = 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.
Answer:

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.
Answer:

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

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