Need quick! u dont have to give me the answer, giving me the equation to use would be just fine and greatly appreciated! rachel can make 3 bracelets in an hour. oliver can make only 2 bracelets in an hour, but he already has 5 completed bracelets. explain to rachel how she can use a system of equations to determine when she will have the same number of bracelets as oliver. use complete sentences. if i could get the equation(s) to use for this problem, that would be v .

So for this we will be writing two equations: one representing rachel and the other with oliver. I'll be using the slope-intercept form, which is y = mx + b (m = slope, b = y-intercept). The slope is considered the constant rate of the equation, which in this case its "3 bracelets an hour" and "2 bracelets an hour". The y-intercept is considered the initial value, which in this case with Oliver "he already has 5 bracelets." Using the info above, these are our 2 equations:

Let x = # of hours and y = total bracelets

With these equations, thanks to the transitive property (if a = b and a = c then b = c) she can set 3x and 2x + 5 equal to each other and solve for the number of hours it would take for them to have the same amount of bracelets.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

its 4 because 2 times 2 is 4, if you double the number two you get four