The Purplemath Forums

Solving for just b , do these first: *Add +bx to both sides, *Multiply both sides by (1/x) That will give you b as a function of x , which seems to be a variable, possibly of two complex numbers. If these values for x are to be in the form, a 1 +a 2 i, then you want a 2 =0, since you specified wanti...

More efficient to multiply numerator and denominator by the lowest common denominator, .

The simplification process is a little easier.

You must measure the summand vectors, but you can then measure the resulting vector to check your work.

spellbinder2050 asks this: Is graphing an accurate depiction of the new magnitude important? If so, I need an explanation of how it is done. My book does not explain how accurate my graph has to be. Yes, graphing a vector, including operations on vectors, is important; at least for the learning proc...

Could you express the formula for the Chain Rule?

Starting specifically with f(x)=3sin^3(x^2), or 3sin³(x²), you have h(x)=x², and g(x)=3sin³(x)
You have the composition, g(h(x)). You are interested in the derivative of g(h(x)) with respect to x.

It's a function y, of the independent variable, x. The function is in factored form. If you have that y=0,
then the resulting quadratic equation is 0=(2x+5)(3x-7), obviously still in factored form. This may be overly picky.

A somewhat less refined but logical approach is to fill this with possibilities to test:

Code: Select all

(2a + ___)(a + ___)

...but will anything work? Your only choices to make product of 1 are 1 X 1.

A good set of lessons for combinations and permutations on purplemath site would be great. One of my old Intermediate Algebra books has a couple of sections on these and although good, is not very deep. An old College Algebra book or two here also has some sections on combinations and permutations, ...

You can solve for y, but you can't find a value for y. Your equation has two variables, and neither is given a value. Can you solve for y? The WAY to solve it,....Three steps. Focus on "y". The given equation: 2x + [24-2 (y)] = 20 What is the first thing you see that is done to y? What is ...

"Velocity relative to the air," is not too comfortable wording. Maybe this is just difficult to interpret. The way I can make sense of the description and question is, the jet is 500 m/h pointing downward (south), the wind vector80 m/h, is 135 degrees to the left relative to the jet's dire...