F(x) = m1x + b1
g(x) = m2x + b2
f(g(x)) = f(m2x + b2) = m1(m2x + b2) + b1 = m1m2x + b2 + b1
a.) f of g is also a linear function.
b.) slope is m1m2
Answer:
20 days
Step-by-step explanation:
It takes 12 men 5 days to complete a job. Work out how many days it would take 3 men to complete the same job.
12 * 5 = 60
60/3 = 20
It will take 3 men 20 days to do the same job
<h3>
Answer:</h3>
For each birdhouse built, the total cost increases by $3.50.
<h3>
Step-by-step explanation:</h3>
Let's try some of the answers and see if they work.
The "initial cost" will be the cost when 0 birdhouses are built.
... f(0) = 3.5·0 +24 = 24 . . . . . clearly, not $3.50
Then increasing the number of birdhouses by 1, the cost is ...
... f(1) = 3.5·1 +24 = 27.5 . . . . . the cost has gone up (not down) by $3.50
Clearly the total cost to build 1 birdhouse is not $3.50. (It is $27.50.)
___
Our exploration of the formula leads us to conclude ...
... For each birdhouse built, the total cost increases by $3.50.
Solve by substitution


Just plug in y=-x-1 into y+x=3
So we get:

Simplify that:

And since that is not true, that means this system of equations has no solutions!
The answer is C to this question