Substitute 5 for g so...
5 times 11 =55
Answer:
A. 1
Step-by-step explanation:
I see only one red function line in the graph. this line represents the simple function y = 1, for x in the interval [-2,1].
the domain of a function defines the possible values for x, and the range of a function defined the possible values for y.
this function has only one possible value for y : 1
so, only A applies.
Substitute the number 21 for all the letter d's:
(21-10) + (21/3) = ?
11 + 7 = 18
Answer:
Square Root 34
Step-by-step explanation:
To begin with, we can simplify <em>y</em> using the Pythagorean identity:
<em>y</em> = 2 cos²(<em>x</em>) + 3 sin²(<em>x</em>) + 5
<em>y</em> = 2 (cos²(<em>x</em>) + sin²(<em>x</em>)) + sin²(<em>x</em>) + 5
<em>y</em> = 2 + sin²(<em>x</em>) + 5
<em>y</em> = sin²(<em>x</em>) + 7
Next, we can further rewrite this using the half angle identity for sine:
<em>y</em> = (1 - cos(2<em>x</em>))/2 + 7
<em>y</em> = 15/2 - 1/2 cos(2<em>x</em>)
Now, since cos(<em>x</em>) is bounded between -1 and 1, we have
max(<em>y</em>) = 15/2 - 1/2×(-1) = 15/2 + 1/2 = 8
and
min(<em>y</em>) = 15/2 - 1/2×1 = 15/2 - 1/2 = 7
Then the sum of the maximum and minimum is 8 + 7 = 15.
