<span>g(f(x)) = g(-5x+4) = 4(-5x+4) + 5 = 21-20x</span>
Answer:
a) Profit = 84000
b) at break even number of pens sold = 46
Step-by-step explanation:
Profit = Selling price - Cost price
Total revenue generated = 99 * 1000
Total revenue generated = 99000
Total cost on making the pen = 11 * 1000
Total cost on making the pen = 11000
Total cost including the initial cost = 11000 + 4000
Total cost including the initial cost = 15000
Profit = 99000 - 15000
Profit = 84000
Break even is when the cost are equal to Revenue thus no profit or loss
Revenue = total cost (break even)
9x = 1x + 4000
9x - x = 4000
8x = 4000
x = 500
At breakeven Revenue = 9 * 500
At breakeven Revenue = 4500
since one pen is sold at 99 therefore at break even number of pens sold = 4500/99 = 45.45( to 2 decimal place)
at break even number of pens sold = 46
Answer:
x^6y^3
Step-by-step explanation:
<u>Given polynomial:</u>
<u>Get prime factors:</u>
- 2*2*2*x*x*x*x*x*x*y*y*y*y*y - 3*x*x*x*x*x*x*x*x*y*y*y
<u>Common factors of the two terms:</u>
- x*x*x*x*x*x*y*y*y = x^6y^3
<u>So</u>
x^6y^3 is the GCF of this polynomial
Answer:
a. the number of people at Friday's, Saturday's, and Sunday's performances combined.
Step-by-step explanation:
The reason this information is needed to solve this problem is because we are looking to find the number of people who attended Saturday's performance. Without any information on Saturday's performance, there is no way to solve the problem. We are given the number of people on Friday and Sunday's performance, but are not given a total amount of people on all performances.
Answer:
X = 5
Y = 2
Step-by-step explanation:
y=2x-8
x-4(2x-8)=-3 -> x-8x+32=-3 -> -7x = -35 -> x=-35/-7 = 5
x=5 -> y=2x-8 -> y=2(5)-8=2