TutorMe homepage

SIGN IN

Start Free Trial

Crystal P.

Personalized lessons in LSAT, ACT, SAT, Math, Reading & More

Tutor Satisfaction Guarantee

SAT

TutorMe

Question:

0 = (2x +4)(3x - 9) Let x= a and x=b be the solutions to the equation above. What is the value of (a)(b)?

Crystal P.

Answer:

Answer: -6 For 0 = (2x +4)(3x - 9), we can find the solutions by setting (2x +4) and (3x - 9) equal to 0. 2x +4 = 0 2x = -4 x = -2 This is one solution 3x - 9 = 0 3x = 9 x = 3 This is another solution We are told to let a and b be the solutions, meaning a and b are -2 and 3. The order does not matter, because we are multiplying. The questions asks to multiply a and b together. -2 x 3 = -6 This is our final answer

LSAT

TutorMe

Question:

There are only two candidates in tomorrow's elections, and one of them must be elected. If the first candidate is elected, then taxes will be raised in order to build the bridge that he has promised to construct. If the the second candidate is elected, then she will not be able to increase the school's budget without increasing taxes. Furthermore, if she is elected, she will increase the school's budget. Therefore, after tomorrow's elections__________________. Which one of the following most logically completes the argument?

Crystal P.

Answer:

Correct Answer: taxes will be raised. This is the correct answer, because it is the only thing that will be true, regardless of who wins the election. There are only two scenarios available. Either the first candidate wins, or the second one does. In the first scenario, the taxes end up being raised. The reason is irrelevant. In the second scenario, we are told that the person elected "will not be able to increase the school's budget without increasing taxes." This means that increasing taxes is a NECESSARY CONDITION for increasing the school's budget. In other words, IF the school budget is increased, THEN the taxes were raised. Furthermore, we are told that IF this candidate wins, THEN the school budget will in fact be raised. If we follow this chain of conditional statements, then the second scenario will result in taxes being raised as well. Therefore, of the two possible scenarios, BOTH lead to increased taxes. Hence, the taxes must be raised.

ACT

TutorMe

Question:

The product (3x^-5)(4x^-5) is equal to which of the following? A. 12 B. 12x C. 12/x^10 D. 1/12x^10

Crystal P.

Answer:

Correct Answer: C In order to multiply these terms together, start off by multiplying the coefficients (3 x 4 = 12) (3x^-5)(4x^-5) = 12(x^-5)(x^-5) When multiplying exponents with the same bases, we add the exponents and keep the base. (-5 + -5 = -10) 12(x^-5)(x^-5) = 12x^-10 We don't like having negative exponents, so we must rewrite this. (Remember: x^-1 = 1/x^1) The 12 stays on top, because we are only moving the number with the exponent. 12x^-10= 12/x^10 <----Final Answer

Send a message explaining your

needs and Crystal will reply soon.

needs and Crystal will reply soon.

Contact Crystal

Ready now? Request a lesson.

Start Session

FAQs

What is a lesson?

A lesson is virtual lesson space on our platform where you and a tutor can communicate.
You'll have the option to communicate using video/audio as well as text chat.
You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.

How do I begin a lesson?

If the tutor is currently online, you can click the "Start Session" button above.
If they are offline, you can always send them a message to schedule a lesson.

Who are TutorMe tutors?

Many of our tutors are current college students or recent graduates of top-tier universities
like MIT, Harvard and USC.
TutorMe has thousands of top-quality tutors available to work with you.

Made in California

© 2018 TutorMe.com, Inc.