Consider the inequality cos(2x) < 0; period [0,*). Milan wants to find the solution set for the inequality. She begins by finding the zeros for cos(2x) : x = 4.x = **.
and x =
Then, she studies the intervals (0,4),(4, 34), and (**), and determines where cos(2x) <0 or cos(2x) > 0 by
picking a value for x from each interval. She finds the following.
cos(2x) > 0 from 0 to 4
cos(2x) < 0 from to
cos(2x) > 0 from * to
Finally, Milan concludes that cos(2x) < 0 on the interval [4, 34).
Part A: Which answer choice shows the correct analysis of Milan's work?
Part B: What is the domain of the inequality?
Part C: What is the solution set for the inequality?
Select one answer for Part A, one answer for Part B, and one answer for Part C.

hello from mrbilldoesmath!

answer:

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

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

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

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

12r - 8 - 12

you have to combine like terms. below i have bolded the like terms:

12r - 8 - 12

together it combines to:

12r - 20

hope this !

in 2010, the population of the state of california is 37.29 × 10⁶

step-by-step explanation:

population of los angeles = 3.79 × 10⁶

population of california = 9.84 × population of los angeles

                                        = 9.84 × 3.79 × 10⁶

                                        = 37.2936 × 10⁶

                                        = 37.29 × 10⁶

∴ in 2010, the population of the state of california is 37.29 × 10⁶

the correct answer is b.

this is because an open circle means < or > & since the line goes left it is < -3.

the next one has a filled circle so it can only be ≥ or ≤ and since the line goes right from 1 it is ≥ 1

hope that