When x=5, f(g(x)) would be (x-1/4)^2 - 3(x-1/4) + 3 which when you plug 5 in for x, you get 11.3125 as an answer
Using <span>De Moivre's formula
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if z = a ( cos x + i sin x ) ⇒⇒⇒ ∴ z^n = a^n ( cos nx + i sin nx)
Part (1)
∴ [ 3 (cos 27° + i sin 27°) ]⁵ = (3⁵) ( cos 5*27° + i sin 5*27°)
= 243 ( cos 135° + i sin 135°) ⇒⇒⇒⇒ Polar form
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Part (2)
The angle 135° in the second quadrant ⇒ sin is (+) and cos is (-)
and its reference angle = 180° - 135° = 45°
sin 45° = cos 45°= 1/√2 = (√2)/2
∴ sin 135° = (√2)/2 and cos 135° = -(√2)/2
∴ 243 ( cos 135° + i sin 135°) = 243 [ -(√2)/2 + i (√2)/2 ]
= - 243(√2)/2 + 243 (√2)/2 i ⇒⇒⇒⇒ standard form
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The correct answers are options (1) and (3)
option (1) ⇒⇒⇒ 243 ( cos 135° + i sin 135°) ⇒⇒⇒⇒ Polar form
option (3) ⇒⇒⇒ - 243(√2)/2 + 243 (√2)/2 i ⇒⇒⇒⇒ standard form
Answer:
This would shift the equation to the right by 5
Step-by-step explanation:
Answer:
Option C : 
is the correct answer.
Step-by-step explanation:
Given that:
Quantity of flour bought by Priya = x grams
Quantity of flour bought by Clara = 3/8 more than that
It means that Clara bought the amount bought by Priya plus an additional 3/8 of flour that was bought by Priya
Total bought = y
y = x + 
Hence,
Option C : is the correct answer.
