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Shelly,   1/(2x=1) is not the equation of a line, but of an hyperbola.

Break even means (C)ost = (R)evenue   If c = 72 + 16x and r = 19x then 72+16x = 19x therefore 3x = 72 or   x = 24 skateboards

An extraneous solution is a slolution to the equation that does NOT work when you plug it into the equation. 8x+4-10=-3 so 8x -6 = -3 and therefore 8x = 3 then x = 3/8. Now pllug 3/8 into the equation for x and we get 8(3/8) + 4 -10 = -3  or  3 +4 -10 = -3 which is...

2x2-3x-5 is the equation of a parabola.  Where the parabola cuts or touches the x axis are the 'roots'. we can find these roots if they exist by 3 methods. 1. factoring the equation 2. completing the square 3. using the quadratic formula by factoring we arrive at (2x-5)(x+1)=0...

I have been tutoring students in algebra for over 20 years. MY METHODOLGY & TUTORING GOALS: Mathematics can be intimidating to students who MUST take the classes but see no practical benefit to their future plans and goals. Teaching mathematic subjects should be brought to a level...

In your text book, there is a section showing that (a+b)(a-b) = a2 - b2. (the middle term cancels out.) Applying this knowledge (ab+7)(ab-7) = (ab)2 - 72 so the answer is (ab)2 - 49    or a2b2 -49  they are the same.

The Real Numbers are ALL numbers (including counting numbers, positive and negative whole numbers, fractions, decimals roots of numbers, logarithms of numbers etc). the only thing not included in the real numbers are the Complex (imaginary numbers). Think of  the set of all real numbers...

From the online free dictionary, PROVE means   4. Mathematics a. To demonstrate the validity of (a hypothesis or proposition). b. To verify (the result of a calculation).

You must remember that logbx=y  implies by = x. so log(x+2)16 = 2 implies (x+2)2=16. Next (x+2)2 = x2+4x+4 So x2+4x+4-16 = 0 Then x2+4x-12 = 0. Using the quadratic formula (-b+√b2-4ac) / 2a  gives us -6 and +2. Therefore...

first, you must know the rules of exponents. next you should change the radical to exponential form. then you can multiply. then you can change back to radical form.   Example:   ³√x2 = x2/3                 5√x3...

The reason is that the inverse of x2 is NOT a function.  But in can be split up into two functions! we could have y =Sqrt x and y = -sqrt of x.

let's just call the number 'x'.  7 time  s is written 7x.  4 times that same number ('x') is written 4x. so we would have 7x - 4x . That's it!

106 = 1,000,000. therefore 2.134 * 106= 2,134,000 The answer is b

Lets start by looking at the denominators. we will call them 1 2 and 3 1) x+6 2) 3x-18 which will factor to 3(x+6) 3) 4x+24 which will factor to 4(x+6) Notice: x+6 is in each denominator.  therefore (x+6) * 3*4 will be LCM An excluded solution will...

18/24             divide both top and bottom by 6 to get 3/4 the factors would be 18 = 2*3*3        24 = 2*3*4 notice we have 2*3 in both numerator and denominator, therefore 6 would be common and the greatest common divisor. __________________ 7rs3/21r2s take...

It appears that you are looking for a test taker.  A good tutor wants to teach the student who really wants to learn the subject. This problem is easy and I a sure someone will answer it for you.

THE SHORT ANSWER IS YES.   BUT.... YOU SHOULD LEARN (MEMORIZE) THE DOUBLE ANGLE FORMULAS AND THE 1/2 ANGLE FORMULAS TO EASILY SOLVE YOUR EXAMPLE. For cosΘ = 1 is just at what angle is the cosΘ = 1 or arccos 1 =Θ If you remember the unit circle then the cos = x/r which will happen...

The answer is  B. a = 3b2 +2.  so if ii take b and square it then multiply by 3 then add 2, I got it. REMEMBER YOUR ORDER OF OPERATIONS!  PEMDAS!