Answer:

Step-by-step explanation:
Let the office charge = x
Amount paid by Medicare = ⅞x
Amount paid by Ross = ¼(⅞x) = $262.50
Solve for x

Check:

OK.
By the polynomial remainder theorem, because <em>x</em> = 2<em>i</em> is a zero of <em>f(x)</em>, we have no remainder upon dividing <em>f(x)</em> by <em>x</em> - 2<em>i</em>.
Computing the quotient yields

Then if the remainder term is 0, follows that <em>a</em> = -12.
Answer:
f(4) = 14
Step-by-step explanation:
f(x) = 3x+2
Let x=4
f(4) = 3(4)+2
= 12+2
= 14
The y-intercepts are
(0,0) and (5,0)
The equation of the quadratic function is
f(t) = at(t-5)
Solving for a
12 = a(3)(3-5)
a = -2
The equation of the quadractic function is
f(t) = -2t(t -5)
f(t) = -2t² + 10t<span />