U need help ASP .f(x)=1-3X and g (x)=x+4 calculate gf(-2)
1 answer:
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Answer:
<u>274.6 inches</u> more snowfall Michigan received during the winter of 1978-79 than in 1930-31.
Step-by-step explanation:
Given:
The state of Michigan recorded an all time high snowfall of 355.9 inches during the winter of 1978-79.
Its lowest snowfall of 81.3 inches was recorded during the winter of 1930-31.
Now, to find how much more snowfall did Michigan received during the winter of 1978-79 than in 1930-31.
The snowfall in 1978-79 = 355.9 inches.
And, the snowfall in 1930-31 = 81.3 inches.
So, to get the how much more snowfall in 1978-79 than 1930-31 we subtract:
Snowfall in 1978-79 - Snowfall in 1930-31.
Therefore, 274.6 inches more snowfall Michigan received during the winter of 1978-79 than in 1930-31.
Answer:
see explanation
Step-by-step explanation:
(4)
consider the left side
factor the numerator
cosx - cos³x = cosx(1 - cos²x)
cancel sinx on numerator/denominator
= cosxsinx =right side ⇒ verified
(5)
Consider the left side
expand the factors
(1 + cotΘ)² + (1 - cotΘ)²
= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ
= 2 + 2cot²Θ
= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ
= 2cosec²Θ = right side ⇒ verified
(6)
Consider the left side
the denominator simplifies to
cosxtanx = cosx × = sinx
= sinx( +
)
= +
= tanx + 1 = right side ⇒ verified