In exercises 18–20, determine whether or not the ivt applies to show that the given function takes on all values between f (a) and f (b) for x ∈ (a, b). if it does not apply, determine any values between f (a) and f (b) that the function does not take on for x ∈ (a, b). 18. f (x) = : x for x < 0 x2 for x ≥

Abag contains 4 red, 7 blue and 5 yellow marbles. event a is defined as drawing a yellow marble on the first draw and event b is defined as drawing a blue marble on the second draw. if two marbles are drawn from the bag, one after the other and not replaced, what is p(b|a) expressed in simplest form? a. 7/16 b. 7/15 c. 14/16 d. 14/15

Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?

Which verbal expression best describes the algebraic expression 3x ÷ 5? the quotient of three times some number and five the product of some number and five divided by three the quotient of three and some number times five the sum of three and some number divided by five