A headlight is being constructed in the shape of a paraboloid with depth 4 inches and diameter 5 inches. Determine the distance that the bulb should be from the vertex in order to have the beam of light shine straight.

In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ? x - 36

Give the functions f(x) = |x + 2| - 3, what is the domain? a, b,c, or d all real numbers x > 2 x < -2 all real numbers and x cannot equal to 2

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?