TutorMe homepage
Subjects
PRICING
COURSES
SIGN IN
Start Free Trial
Ann S.
Tutor for Five Years
Tutor Satisfaction Guarantee
SAT II Mathematics Level 2
TutorMe
Question:

If $$(x+1)$$ is a factor of $$x^3+kx^2+11x+6$$ what is $$k$$ equal to?

Ann S.
Answer:

To answer this question you must consider what $$(x+1)$$ is a factor means conceptually. What is means is that when $$x=-1$$ the above function is equal to zero. Therefore $$(-1)^3+k(-1)^2+11(-1)+6$$ $$-1+k-11+6=0$$ $$k=6$$

Pre-Calculus
TutorMe
Question:

Determine the equation a circle in standard form that has a radius of 7 and is centered at (-4,7).

Ann S.
Answer:

The equation of a circle in standard form, centered at (a,b) with a radius r, is $$(x-a)^{2}+(y-b)^{2}=(r)^{2}$$. If we are to substitute the values suggested: If we substitute a and b for the center suggested (-4,7) $$(x+4)^{2}+(y-7)^{2}=(r)^{2}$$ Then if we substitute 7 for the radius we finish the problem with a solution of $$(x+4)^{2}+(y-7)^{2}=(7)^{2}$$

ACT
TutorMe
Question:

A grocer buys a rectangular prism-shaped melon container. The height of the melon container is one-third of the length, and the width is twice the length. If the container can hold 144 melons that take up one square foot each, how tall can the container be?

Ann S.
Answer:

When looking at a problem like this, the most important thing to recognize is that the ratio based relationships between the dimensions of the box are key to getting an answer. After recognizing this, the next step is to set up each of these values in terms of each other. (i.e) Step 1: H=(1/3)L W=2L Step 2: 6H=2L W=2L Step 3: 6H=2L=W Step 4: Determining the maximum volume (There's a Formula!!!! LxWxH) V=LxWxH V=3HxWxH (from step 2 6H = 2L, so 3H = L) V=3Hx6HxH (from step 3 W=6H) 144 = 18H^3 8 = H^3 2 = H

Send a message explaining your
needs and Ann will reply soon.
Contact Ann
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.