PLEASE SHOW YOUR WORK AND HOW YOU GOT IT Valerie swam one lap in S seconds, faster than Peter by 4 seconds. Which of the following represents the average lap time of the two swimminers? (A) S + 2
(B) S-2
(C) S-1
(D) S +4
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Rewrite the following quadratic functions in intercept or factored form. show your work. y = 4x^2 - 19x- 5

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?

Solve 2 - 3 cos x = 5 + 3 cos x for 0° ≤ x ≤ 180° a. 150° b. 30° c. 60° d. 120°