A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is f(w)=50w+25 and the number of flowers for 30 weeks is 1525.
Given that:
f(s)=2s+25
s(w)=25w
The number of flowers to bloom over w weeks is calculated using the following composite function: f(w)
f(s)=2s+25
Replace s with s(w)
f(s(w))=2(s(w))+25
Substitute (w)=25w
f(s(w))=2(25w)+25
f(s(w))=50w+25
Hence:
f(w)=50w+25
The units of the measurement of f(w) are flowers
The number of flowers for 30 weeks means:
w=30
So, we have:
f(w)=50w+25
f(30)=50 * 30+25
f(30)=1525
Hence, the number of flowers for 30 weeks is 1525
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Answer:
The value of y is -5
Step-by-step explanation:
we have
------> equation A
------> equation B
we know that
If x and y satisfy both equations, then (x,y) is the solution of the system of equations
Using a graphing tool
Remember that
The solution of the systems of equations is the intersection point both graphs
The intersection point is (2,-5)
therefore
The solution of the system of equations is the point (2,-5)
The value of y is -5
Answer:
Step-by-step explanation:
area of kite=product of diagonals ÷2=(30×4)÷2=120/2=60 ft²
The river will not reach a level of 7 ft. after 5 hours.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the height of the water level after x hours.
Since the river is 1 ft below its average water level and begins to rise by a constant rate of 1.5 ft per hour. Hence:
b = -1, m = 1.5. The equation becomes:
y = 1.5x - 1
To reach a level of 7 ft. That is y = 7:
7 = 1.5x - 1
1.5x = 8
x = 5.3 hours
The river will not reach a level of 7 ft. after 5 hours.
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