A little help with this one, please

The equation 5^x - 3/a = a, where a is a real non-zero number, is possible only if:

A) a > 0
B) a = 0
C) a < 0
D) a > 3^1/2
E) a < - 3^1/2

OA: A

Thank you.

Thanks Rich. I've tried this one again after practicing a lot of other absolute value questions and I got it. The most important concept for me was that |b - c| can be interpreted as the distance between b and c. Also, I've tried using values like you've mentioned and it worked. Thanks for that too!...

Need help with this question

At store A, the profit from the sale of x units of a certain product is given by the formula P = -50x² + 600x. What is the maximum profit that the store can have from the sale of that product?

A) 6
B) 12
C) 600
D) 1800
E) 3600

OA: D

Any help, please?

If |2x + 1| <= 0, then A) x must be less than or equal to - 1/2 B) x must be equal to - 1/2 C) x must be larger than - 1/2 D) x could be 1/2 E) x doesn't exist OA: B I can develop the inequality in order to reach x <= - 1/2 or x >= - 1/2. I just don't understand the official answer. Thanks, Fambrini

Can someone help with this one please?

Working alone, Sumio can mow a certain field in x hours. Yoko can mow 50% more field in the same time. When the two work together, they are paid m dollars each one. If Sumio decides to pay Yoko n dollars so they would have received the same compensation per field mowed, what is n in terms of m? A) 1...

Need a little help please

The bookstore at Union College buys used text-books from students and offers them for resale at a price that is a fixed percent of the original price of the book when it was new, regardless of the title of the book or its condition. If a new freshman chemistry book sells for $40, at what price shoul...

Thanks Rich. I wasn't familiar with the term station wagon since I'm not a native english speaker. I'll be aware when situations like this come up.

Thanks,
Fambrini

Need a little help please

A dealer owns a group of station wagons and motorcycles. If the number of tires (excluding spare tires) on the vehicles is 30 more than twice the number of vehicles, then the number of station wagons the dealer owns is

A) 10
B) 15
C) 20
D) 30
E) 45

OA: B