Recall the double/half angle formulas:


We're given
, and since
is between π/2 and π, we expect
to be negative. So from the Pythagorean identity, we find

Also, we know
will fall between π/4 and π/2, so both
and
will be positive. Then we find


and it follows that

9514 1404 393
Answer:
f(x) = 6x +1
Step-by-step explanation:
Differences in x-values (first row) are 1, 1, 1.
Differences in y-values (second row) are 6, 6, 6.
The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.
Using the first point in the form ...
y = mx + b
we have ...
y = 6x + b
7 = 6·1 + b . . . . (x, y) = (1, 7)
1 = b . . . . . . subtract 6
Then the equation can be written ...
y = 6x +1
In functional form, this is ...
f(x) = 6x +1
The independent variables is the number of packages and the dependent variable is the price of the pens
Answer:
12 - 4
3 - 1
18 - 6
Step-by-step explanation:
This is simply a matter of pluggin in the method, so let's do it shall we?
It wants you to put the a third of each number, so you'll divide each number by three to get what the third is!
VISUAL REPRESENTATION:
12÷3 = 4
3÷3 = 1
18÷3 = 6
Answer:
Brand 2 is the better deal
Step-by-step explanation: