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.
Answer:
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. ... All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.
Step-by-step explanation:
Answer:
When dividing by decimals, move the decimal point in the dividend the same number of places to the right as you move the decimal point in the divisor.Step-by-step explanation:
Answer:
y (x² + 1) (x² - 5)
Step-by-step explanation:
<h3>Factorization:</h3>
Take 'y' from each term.
x⁴y - 4x²y - 5y = y[x⁴ - 4x² - 5]
Now factorize x⁴ - 4x² - 5.
Sum = -4
Product = -5
Factors = -5 , 1
When we add (-5) + 1, it gives (-4) and when we multiply (-5)*1, gives (-5).
x⁴ - 4x² - 5 = x⁴ + x² - 5x² - 5
= x²(x² + 1) -5(x² + 1)
= (x²+ 1) (x² - 5)
x⁴y - 4x²y - 5y = y (x² + 1) (x² - 5)
