Lily is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 30 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 40w represents the number of seeds she plants per week, where w represents the number of weeks. Part A: Write a composite function that represents how many flowers Lily can expect to bloom over a certain number of weeks. Part B: What are the units of measurement for the composite function in Part A?

Part C: Evaluate the composite function in Part A for 35 weeks.

f(w) = 80w+30

The units of measurement for the input is the number of weeks and for the output is the number of flowers that bloomed

Step-by-step explanation:

f(s) = 2s + 30

s(w) = 40w

Replace s in the first function with s(w)

f(w) = 2(40w) + 30

     = 80w+30

The units of measurement for the input is the number of weeks and for the output is the number of flowers that bloomed

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)