F(x) = 3 - 2x
g(x) = 1/(x + 5)
(f/g)(x) = (3 - 2x) / 1/(x + 5) = (3 - 2x)(x + 5)
(f/g)(8) = (3 - 2(8))(8 + 5) = -13 x 13 = -169
Answer:
see explanation
Step-by-step explanation:
Using De Moivre's theorem
Given
[ 4(cos15° + isin15° ) ]³, then
= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]
= 64 (cos45° + isin45° )
= 64 (
+ i )
= 64 ( (1 + i) )
= 32
(1 + i)
= 32 + 32 i
Step-by-step explanation:
we can find the area of parallelogram by multiplying base and height i.e A = bh
Answer:B
Step-by-step explanation:
y - 26 = -19
y + 26 - 26 = -19 + 26
y=7
Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.
