Answer:
3/8
Step-by-step explanation:
1/8+1/4=1/8+2/8=3/8
Answer:
-51 (no options are matching)
Step-by-step explanation:
Given: (–2)2 + (–42) + (18 – 23).
we know, 2*2 = 4, and in integer multiplication if any negative integer is multiplied with positive integer, then the result will have a negative sign.
= -4 + (-42) + (18 – 23)
Here, we have open the brackets, and written the respective signs with the integers,
= - 4 - 42 - 5
now, we will perform the integer addition. Adding all the positives together & he negative numbers together
= -51
PS: It happens to be that none of the given options match with the correct answer. But, i have solved taking the expression, i hope it helps
The answer is 15 or 1/4
I hope this helps you
Answer:
Step-by-step explanation:
You need to complete the square.
C(x) = 0.02(x^2 - 1000x ...) + 11000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000
C(x) = 0.02(x - 500)^2 + 6000
Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000
There is a flow to this question that you may have trouble understanding.
First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.
Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.
500^2 = 250000
0.02 * 250000 = 5000
So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.
So what you have outside the brackets is 11000 - 5000 = 6000
The rest is just standard for completing the square.