Answer:
- $2300000- max profit
- 5.77 years into operation - zero profit time
Step-by-step explanation:
<u>Given function:</u>
It is a quadratic function with general form of y = ax^2 + bx + c
It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a
<u>For the given function vertex is:</u>
<u>Maximum value of p is:</u>
- p(3) = -3*3^2 + 18*3 - 4 = -27 + 54 - 4 = 23 ($2300000)
<u>The time when profit is zero:</u>
- -3t^2 + 18t - 4 = 0
- 3t^2 - 18t + 4 = 0
- t = (18 ± √18² - 4*3*4)/2*3 = (18 ± √276)/6 = (18 ± 16.61)/6
- t = (18 - 16.61)/6 = 0.23 this is the time when company has just started to make profit, it is not applicable as is the past time
- t = (18 + 16.61)/6 = 5.77 years into operation, after this time there will be no profit
Answer:
6) Option B) distributive property is correct
Therefore 5+2(x-7)=5+2x-14 are equivalent by using distributive property
7) Option B) distributive property is correct
Therefore x+3(7-x)=x+21-3x are equivalent by using distributive property
Step-by-step explanation:
6) Given that the expressions 5+2(x-7) and 5+2x-14 are equivalent
To verify that the given expressions are equivalent by which property :
5+2(x-7)
=5+2(x)+2(-7) ( by using the distributive property a(x+y)=ax+ay )
=5+2x-14
Therefore 5+2(x-7)=5+2x-14 are equivalent by using distributive property
Therefore option B) distributive property is correct
7) Given that the expressions x+3(7-x) and x+21-3x are equivalent
To verify that the given expressions are equivalent by which property :
x+3(7-x)
=x+3(7)+3(-x) ( by using the distributive property a(x+y)=ax+ay )
=x+21-3x
Therefore x+3(7-x)=x+21-3x are equivalent by using distributive property
Therefore option B) distributive property is correct
It would be 
, or, in simplest form, 
.
You get this by adding all the marbles to find the total number of marbles. <em>10+7+12+9</em>, which equals <em>38</em>.
You have <u>10 red marbles out of 38 total</u>, so that is represented by !
Answer:
15
Step-by-step explanation:
3(9)=27
27-12=15
Answer:
Step-by-step explanation:
Hello,
hope this helps
