Use the chain rule:

We have


so we get

Alternatively, you can substitute <em>u</em> in the definition of <em>y</em> and differentiate with respect to <em>x</em> :

H(x) = 16 - x
plug -4 in as x
H(x) = 16 - (-4)
solve 16 - (-4)
H(x) = 20
your answer is A)20
Answer:
AE = 18 units
Step-by-step explanation:
Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is
=
, substitute values
=
( cross- multiply )
10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides
20x + 40 = 12x + 96 ( subtract 12x from both sides )
8x + 40 = 96 ( subtract 40 from both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Then
AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units
Answer:
5 rooms
Step-by-step explanation:
4 rooms = 9 hours
9 hours = 540 minutes
1 room = 540 ÷ 4 = 135 minutes
60 x 12 = 720 minutes (12 hours)
720 ÷ 135 = 5.33333
5.3333 estimated to nearest whole number = 5