Answer:
3z+3x=2
Step-by-step explanation:
3z+8=12+3x-2
collecting like terms
3z-3x=12-2-8
3z-3x=2
3z=2+3x
divide through by three
z= ⅔+x
Answer:
y = -3
Step-by-step explanation:
So, first you need to plug in -4y-4 for x. So, 5(-4y-4) + 2y=34. Now, use the distributive property and now it will become -20y -20 + 2y = 34. Add like terms which would be -20y + 2y = -18y. Now the equation is -18y - 20 = 34. Now use inverse operations and add 20 to both sides. Then the equation will be -18y = 54. When you divide -18 on both sides, you get y=-3.
Hope this helps :)
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:
6/25
Step-by-step explanation:
0.24
24/100
12/50
6/25
Answer:
the answer is 5
Step-by-step explanation: