The quadratic function f(x) has a vertex at (9,8) and opens upward. if g(x) = 4(x - 8)^2 + 9, which statement is true?
a.
the maximum value of f(x) is greater than the maximum value of g(x).
b.
the maximum value of g(x) is greater than the maximum value of fx).
c.
the minimum value of rx) is greater than the minimum value of g(x).
d.
the minimum value of g(x) is greater than the minimum value of rx).

Achemist has 200 ml of a 10% sucrose solution. she adds x ml of a 40% sucrose solution. the percent concentration, y, of the final mixture is given by the rational function: the chemist needs the concentration of the final mixture to be 30%. how many milliliters of the 40% solution should she add to the 10% solution to get this concentration?

Ab and bc form a right angle at point b. if a= (-3,-1) and b= (4,4) what is the equation of bc?

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?