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A way to check your answer, which is correct from Kevin S., is to multiply both the numerator and denominator by the original denominator (x+2).  As shown: (4x^2 - 1) / 1 * (x + 2) / (x + 2)  (doing this step is effectively multiplying your answer by "1") (4x^2...

Constants are simply a number.  A value that is considered constant.  example 1, 2, or 3. As an example: Variables are symbols for values that can change, such as y = x^2, where we have two variables x and y.  x isn't defined as a specific number or value, so it can change...

Let's start with the -1 exponent that is in the denominator.  We should move this to the top.  At the same time move the -3 and -5 exponents on top to the bottom.  The equation is flipped.  Rewrite: (s^2*t^3) / (s^3*t^5)  (now we can simplify b dividing like terms.) answer:...

first simplify:  4x^2 - 15x + 19 Since this doesn't look to be easily factored, we should use the quadratic equation: (-b +or- sqrt(b^2 - 2ac))/2a a, b, c are the coefficients in front of each "chunk" of this equation. a = 4, b = -15, c = 19  (now plug...

Solve for X and Y: Since we're dealing with 3 equations that are all equal to each other we can write them either together, side by side, or separately in a series. -6x + 5y = -10 16x + 4y = -10 We need to isolate one of the variable so we can then solve for the other variable...

With questions like this, there is usually a probably associated with each stage of the economy, such as a 25% chance of the economy being "down."  This would then entail there's a 75% change of the economy being "up."  Since there are no probabilities associated...

Polynomials usually higher than 3 degrees is usually solved with synthetic division.  This is usually a trial and error method given the factors that can be multiplied together to form either the beginning and ending coefficients 4 and 35 respectively.  Both negative and positive values...

Manipulating functions word very similarly to manipulating variables or other numbers.  We can add them, subtract, multiply, divide, etc.  You just have to keep in mind that the function is a whole "chunk" of information, not just a single number or variable in most cases. Subtracting...

I guess you could ask yourself the question of what do you want to do with your life?  Regardless of your answer, you'll use some form of math on a daily basis.  Higher end math might help you develop a new website or web search algorithm, figure out the design specifications to crating...

TRILLION,BILLION,MILLION,THOUSAND,HUNDRED each grouping has 000's 789 Trillion would entail that is has 4 sections of 3 zeros behind it.  4*3 = 12 So, 789 with 12 following zeros grouped in 3's.  789,000,000,000,000

To minimize a cost function (or any other function that deals with minimums or maximums) we need to find the first derivative of the cost function and set it equal to zero (no slope): First to translate the cost function described in the question into an equation: x = 29,720 per case of...