Answer:
A
Step-by-step explanation:
440 percent is the same thing as 4.4
Answer: 4
Step-by-step explanation:
North team score is n, south team score is s.
first game equation:
n = (2/3)s
second game equation:
s - 7 = n + 7 - 3
So we have 2 equations and 2 unknowns to solve:
<span>n = (2/3)s
</span><span>s - 7 = n + 7 - 3
</span>lets substitute the first into the second:
s -7 = <span>(2/3)s + 7 - 3
multiply all equation by 3 to eliminate fraction:
3s - 21 = 2s + 21 - 9
s = 21 + 21 - 9
s = 32
that is the souths score of the first game, now substitute in the first equation:
</span><span>n = (2/3)s
</span>n = (2/3)(<span>32)
</span>n = 64/3
n = 21
that is the score of the norths in the first game.
For the second game the norths increased the score by seven that is 21 + 7 = 28
While the souths decreased the score by 7, 32 - 7 = 25
60+90=150
180-150=30 so x=30
90+30=120
180-120=60
60+90=150
180-150=30 so y=30
Given that:
c(x) = 3x2 − 10x + 200<span>
and
r(x)=</span><span>−2x2 + 100x + 50
Profit is given by:
P(x)=r(x)-c(x)
P(x)=(</span>−2x2 + 100x + 50)-(3x2 − 10x + 200)
P(x)=-5x^2+110x-150
thus:
at maximum profit P'(x)=0
thus:
P'(x)=-10x+110=0
hence:
x=11
thus the number of units required for one to make profit is 11 units
