3. Leslie is driving 850 miles home from vacation. She drives a constant speed of 65 miles per hour. She wants to stop for the night when she is no more than 300 miles from home. How many hours will she need to drive? 4. Steve earns $16 per hour plus $150 in bonuses. Carly earns $14 per hour and $200 in bonuses. After how many hours will Steve's pay be more than Carly's?

5. The science club is going on a field trip to the science museum. The club has at most $800 to spend on the trip. The bus for the trip costs $100, and meals at the museum cost $4.50 per student. If admission to the museum is $12 per student and $16 per adult, and there are six chaperones attending, how many students can go on the trip?

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

because i took test

something over 10 so ? /10

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)