Ab=81, a=81/b
s=a+b using a from above in this we get:
s(b)=81/b +b
s(b)=(81+b^2)/b
ds/db=(2b*b-81-b^2)/b^2
ds/db=(2b^2-81-b^2)/b^2
ds/db=(b^2-81)/b^2
d2s/db2=(2b^3-2b^3+81)/b^4
d2s/db2=81/b^4 since b is positive we know that the acceleration is positive so that when ds/db=0 it is a minimum for s(b)
ds/db=0 only when b^2-81=0, b^2=81, b=9
The two positive numbers are 9 and 9.
Answer:
The single equation is 
Step-by-step explanation:
We are given the following system of equations:
From the first equation:
Replacing in the second equation:
The single equation is
Answer:
Step-by-step explanation:
So he has $100 and you want to see how many golf balls he can purchase well we know he spends $75 on the clubs so
75
-100
--------
25
John now has 25 dollars left. One ball is $1.50 so we keep adding or multiplying till we finish 25 dollars
1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 = 24
or
1.50
x 16
----------
24
he can purchase 16 golf balls
and the reason why it's 16 is that 16 golf balls are equal to 24 dollars and he can't purchase 17 golf balls or else that would be $25.50 which is more money than he has.
Hope that helped!
The answer is 350.
<em>
m= minutes</em>
Plan 1: 9+0.13<em>m</em>
Plan 2: 23+0.09<em>m</em>
9+0.13<em>m</em> = 23+0.09<em>m</em>
-9 -9
0.13<em>m</em> = 14+0.09<em>m</em>
-0.09<em>m</em> -0.09<em>m</em>
0.04<em>m</em>= 14
14÷0.04= 350
<em>m</em>= 350
Answer:
0.0599
Step-by-step explanation:
There are four aces in a standard 52-card deck. If X=5, the first ace must be drawn exactly at the fifth pick, which means that the probability of X=5 is the probability of not getting an ace in the first four picks and getting an ace in the fifth pick:
The probability that X=5 is 0.0599
