When parents think about the key factors for academic success, they often look at standard pillars of solid education: (1) a collection of good educators, (2) a wealth of solid academic resources, and (3) a diligent routine of practice and study. These
components are certainly essential pieces of the puzzle, but they overlook the keystone underpinning that affects every aspect of learning:...
i'm from Michigan originally :). Anyway, here is how you graph an inequality:
1. Put the function into slope-intercept form:
-5x - 2y <= -8
-2y <= 5x - 8
y >= -(5/2)x + 4 (you flip the inequality symbol when you divide both sides by...
Working with high school students is very straightforward. Kids in their mid to late teens are often focused and self-motivated to learn and perform. They are thinking about college and beyond, and usually have some goals in mind that they would like to
achieve. Young children, however, are not as determined to plow through hours of mathematical tutelage as their older counterparts. They are...
Practice is the key to SAT mastery. No matter what preparatory course you take, what tutor you hire, or what study guides you purchase, all of your resources are for naught if you don’t devote significant time and effort towards practice exams.
Knocking out a healthy load of practice tests is particularly important for standardized exams. Why? Because standardization means that the test...
The important thing to remember with radicals is that they are essentially to be treated like variables. Let's multiply it out:
(24)(V11)2 + 32(V11)(V2) - 12(V2)(V11) - 16(V2)2
The important thing to remember is that what is inside the square roots can be...
Nailing an 800 on the math portion of the SAT can be a tricky feat, even if you are steadfastly familiar with all of the requisite formulas and rules. A difficult problem can overwhelm even the most prepared individual come test day. Time constraints,
test surroundings, and the overall weight of the exam can unnerve the most grounded students.
So what do you do when panic strikes and...
There are a few ways to solve this, but let me explain a way that makes a lot of sense. With problems like these, I begin by writing down known information. The rates for cleaning are (where J = Joey and M = mom):
J = 10 hours/room
M = 5 hours/room
This is a really cool question to answer. First, you would divide the regular calories by 3 (based on serving size listed at the top) to get the calories per cookie. That is:
53.3 calories per regular cookie
Then, divide the double stuffed by 2 to get the...
Sure, you need to solve this algebraically by isolating r. So:
-52 = 4(7 + 5r)
-52 = 28 + 20r
-80 = 20r
r = -4
Of all the important academic exercises, none are as critical to your success as routine reading. Throughout your education, teachers will assign mounds of textbook reading in social studies, English, the sciences, and beyond. While it is imperative that
you take your assignments seriously and blast through your requisite reading, that is simply the bare minimum. Your eventual goal should be...
First, the basic equations for conic sections are:
x2 + y2 = r2
x2 / a2 + y2 / b2 = 1
4px = y2
x2 / a2 - y2 / b2 = 1
Now, try and get these equations...
I will roll through the questions in the order posted:
1. The distance can be found using the distance formula (which is derived from the Pythagorean theorem):
\/ (x1 - x2)2 + (y1 - y2)2
Here's how you do it:
The person gets paid two different salaries: one for the first 36 hours, and another for the remaining 6 hours (42 - 36 = 6).
We can call these salaries x and y. Now we have an equation:
36x + 6y = 472.50
We need to isolate x like any algebraic equation:
4sin(x) = -1 + 2sin(x)
4sin(x) - 2sin(x) = -1
2sin(x) = -1
sin(x) = -1/2
x = sin-1(-1/2)
x = -.524
But since the answer must be between 0 and 2pi, you add 2pi to the answer to get it in the right...
With this information, you can set up two equations as follows:
1(sweater) + 4(shirts) = 53
5(sweaters) + 2(shirts) = 103
We can then solve this equation using a principle called substitution. It puts one variable in terms of the other, like so:
1. You basically have the square root of a2 and b5
This reduces to:
------ = ab-5/2
2. I'm not exactly sure what you've written here, but I think you do it like this:
You have 52 cards total. If you take out the clubs, you then have 39 cards remaining. Now of those 39, you need to remove all face cards from that subset. That means you must remove the Jack, Queen, and King from the other three suits. That's 9 cards,
leaving you with...
Here's how you can solve this problem. Let's start with a drawing:
The “silly mistake” is quite possibly the most mischievous and irksome of the math demons. It is a sly beast that lurks in the deepest recesses of your mind, emerging only periodically to sully your scores in a most disturbing way. Because of its crafty
nature, it is able to lull you into the false belief that your thorough understanding of mathematic concepts will keep you safe from its clutches...