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Answers by Philip P.

Confusing question.  I think they want you to know that the independent variable, x, would be hours and the dependent variable, y, would be pay ($).  Range refers to the smallest to largest values of the dependent variable, so it would be A) or B) cause those are in the correct units,...

f(x) = (x2/2) - 3x - (1/2) df(x)/dx = x - 3   Mean Value Theorem: You want to find a point c in the interval [a,b] such that:   df(c)/dx = (f(b)-f(a))/(b-a)   In the interval [4,6]: c - 3 = (f(6)-f(4))/(6-4) c - 3 = (0 - -4)/(6-4) c - 3 = 2 c...

Your question is a bit vague, so it's hard to know what you're after.  Here's a link to a Wyzant study guide on geometric transformations, including rotations.   https://www.wyzant.com/resources/files/496649/geometric_transformations   Maybe it will help you with learning...

Yes,  you need a way to get an x2 into the numerator of the partial fraction so it's A/(x+2) + B/(x-2) + C.  To put the C over the common denominator, you'll multiply it by (x2-4) and get Cx2-4C, so C=1.  Then it reduces to a normal partial fraction with A = -B. ...

(x−5)(x+5)= (answer)

FOIL it out, Ma:   (x-5)(x+5) = x*x + 5x -5x + (5)(-5)   Can you finish it from here?    

y=√(4x-x2)   I don't think you want to simplify it, I think you want to put it into the standard form for a circle:        (x-h)2 + (y-k)2 = r2   Square both sides:        y2 = 4x - x2     ...

Pre Cal Problem (answer)

Use the distance formula to find the distance between the two points:   d = √((y2-y1)2+(x2-x1)2)   (x1,y1) = (-3,-7) (x2,y2) = (1,-3)   Plug the points into the distance formula above and compute the distance, d, which is the length of a side. ...

P(t) = P0·bt P(t) = population at time t in millions P0 = population in 1993 = 83 million b = growth rate t = years since 1993   P(t) = 83·bt   Now we'll use the two data points they gave us, (1993,83) and (2001,87), to find the value of b:   For...

Let g(x) be the transformed version of f(x).  The general transformations are:         g(x) = a·f(b(x-c)) + d a = vertical stretch.  If a<0, it flips f(x) across the x-axis b = horizontal stretch.  If b<0, it flips f(x) across...

angular velocity (answer)

Velocity = (angular velocity)*(radius) = (8pi/3 rad/min)*(125 ft) = _____ ft/min

Angular Velocity (answer)

You should do this one on your own Darcy just like the one I did for you  earlier.  One rotation = 2pi radians, 25 seconds = 25/60 = 5/12 of a minute.  Divide radians by minutes.

One rotation = 2pi radians 45 seconds = (3/4) minute   Angular velocity has units of radians per minute, so divide the radians by the corresponding minutes:   Angular Velocity = 2pi/(3/4) = 8pi/3 radians/minute