Which ordered pair maximizes the objective function p = 3x 8y?(0, 0)(2, 7)(5, 6)(8, 1)
2 answers:
You might be interested in
Answer: 3 and 6 will be the first and second term of the given series respectively.
Explanation: since it is given- and
so, by replacing n by 4, we will get- ⇒870=
⇒
after solving this equation we will get, and 30.
If , but it is not a whole number.
Thus, will be the value of third term of the given series.
Again, by applying the given condition ,
or -5 (not possible), so,
will be the second term.
Similarly, or -2 but we will go to the whole number.
Thus, will be the first term.
Answer: Choice B. sqrt(2)
Draw out a right triangle in quadrant IV as you see in the attached image below. The horizontal and vertical legs are both 1 unit long. To ensure that the signs are properly set up, I am making the vertical leg BC have a label "-1" to mean this is below the x axis. Note how
tan(theta) = opposite/adjacent = BC/AB = -1/1 = -1
Use the pythagorean theorem to find that the hypotenuse AC is sqrt(2) units long
a^2 + b^2 = c^2
(1)^2 + (1)^2 = c^2
2 = c^2
c^2 = 2
c = sqrt(2)
The secant of theta is the ratio of the hypotenuse over the adjacent side, so we end up with
sec(theta) = hypotenuse/adjacent
sec(theta) = AC/AB
sec(theta) = sqrt(2)/1
sec(theta) = sqrt(2) which is why choice B is the answer
