Mary paints wooden signs and sells them at craft fairs. The function s(t) approximates how many signs Mary paints per hour. The function w(h) represents how many hours per week Mary spends painting the wooden signs. What are the units of measurement for the composite function s(w(h))?

number of wooden signs per week.

Step-by-step explanation:

Given:

- denotes signs painted per hour.

-- denotes number of hours worked per week.

#In the function composition, if we have 2 functions and then implies applying then respectively to the results of function y.

-Given the function , we first apply which denotes hours/week and apply function s on the results of .

-Hence, the units of measurement will be number of wooden signs per week.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3