The only restraints on profit result from the restriction on the domain which in turn place a restriction on profit.
0≤k. Knives sold cannot be negative.
So the range of profit or p is:
p=[-500, +oo)
Profit increases as the number of knives sold increases. $200 more profit is gained by each sale of a knife.
4000=200k-500
4500=200k
k=22.5
Since k is for knives sold, it must be an integer value, so a $4000 profit is not possible. At 22, p=3900 and at 23, p=4100
Answer:
2 sqrt(2x-1)
Step-by-step explanation:
f(x) = sqrt( x+9)
g(x) = 8x-13
f(g(x))
place the function g(x) in for x in f(x)
f(g(x)) = sqrt(8x-13+9)
Combine like terms
f(g(x)) = sqrt(8x-4)
Factor out 4
f(g(x)) = sqrt(4*(2x-1)
2 sqrt(2x-1)
Answer:
1.41
Step-by-step explanation:
148.57-94 would equal 54.57
Answer:
The angles are vertical
Step-by-step explanation:
x+42+2x+1=180
put the like terms together i.e 2x+x+42+1=180
you get: 3x+43=180
Take 43 to th other side of 180 i.e 3x=180-43 i.e (180-43=137)
You get 3x=137
Divide both sides by 3
you get x=45.666666666667(Round off to get 45.67)
Substitute the value of x to the angles
x+42(45.67+42=87.67)
2x+1(2(45.67)+1=92.34
Add 87.67+92.34=180
THis shows that the angles are vertical
