Answer:
g[f(n)] = -8n+3
Step-by-step explanation:
Given,
g(n) = 2n + 5 , f(n) = -4n-1
Find g(f(n)),
Solutions,
g[f(n)] = g[-4n-1]
= 2(-4n-1) + 5
= -8n–2+5
g[f(n)] = -8n+3
Final Answer = g[f(n)] = -8n+3.
Answer:
α ≈ 76°
Step-by-step explanation:
The vertices of a rectangle are right , that is 90°
Using the tangent ratio in right triangle ABC
tanα =
=
=
= 4, then
α =
(4) ≈ 76° ( to the nearest degree )
Answer:
625 metres
Step-by-step explanation:
Given the area function expressed as a(w)=-(w-25)^2+625.
The maximum area occurs at when da/dw = 0
da/dw = -2(w-25)
0 = -2(w-25)
-2(w-25) = 0
w - 25 = 0
w = 25
Substitute w = 25 into the modeled equation;
Recall a(w)=-(w-25)^2+625.
a(25)=-(25-25)^2+625
a(25) = 0+625
a(25) = 625
Hence the maximum area possible is 625 metres
Answer:72
Step-by-step explanation:
You multiply the amount of pies(4) by the amount of slices per pie(18) to get your amount of slices(72)