Answer:
a)
b) number of flowers.
c) 2830
Step-by-step explanation:
We are given the following in the question:
The number of flowers bloomed is given by the function:
where s is the s is the number of seeds she planted.
The number of seeds planted per week is given by
where w represents the number of weeks.
a) composite function that represents how many flowers Lily can expect to bloom over a certain number of weeks.
The composite function can be written as:
where f(w) gives the number of flowers that bloomed in w weeks.
b) units of measurement for the composite function
The composite functions gives the number of flower that will bloom in w weeks. Thus, the unit of measurement is number of flowers.
c) Number of flowers in 35 weeks.
We put w = 35 in the composite function.
2830 flowers will bloom in 35 weeks.
Thanks
Step-by-step explanation:
This is the concept of sinusoidal, to solve the question we proceed as follows;
Using the formula;
g(t)=offset+A*sin[(2πt)/T+Delay]
From sinusoidal theory, the time from trough to crest is normally half the period of the wave form. Such that T=2.5
The pick magnitude is given by:
Trough-Crest=
2.1-1.5=0.6 m
amplitude=1/2(Trough-Crest)
=1/2*0.6
=0.3
The offset to the center of the circle is 0.3+1.5=1.8
Since the delay is at -π/2 the wave will start at the trough at [time,t=0]
substituting the above in our formula we get:
g(t)=1.8+(0.3)sin[(2*π*t)/2.5]-π/2]
g(t)=1.8+0.3sin[(0.8πt)/T-π/2]
If two chords of a circle are congruent, then their intercepted arcs are congruent
7x-39 = 87
7x = 87 + 39
7x = 126
x = 126/7
x = 18
<span>f(x)=x^2+6x+3
=(1/2.6)^2=3^2=9
f(x)=(x2^+6x+9)+3-9
=(x+3)^2-6</span>