Answer:
-2.4-(-7) has the same result as -2+7 because the negative sign and the minus sign cancel each other out. Think of it like this. If you cross the negative sign and the minus sign together, then it makes a plus sign.
Step-by-step explanation:
I gave a basic answer. You might have to elaborate more on this.
![(2.6\times10^2) \times (3.9\times10^{11}) = 1.014\times10^{14}](https://tex.z-dn.net/?f=%20%282.6%5Ctimes10%5E2%29%20%5Ctimes%20%283.9%5Ctimes10%5E%7B11%7D%29%20%3D%201.014%5Ctimes10%5E%7B14%7D%20)
![1.014\times10^{14}](https://tex.z-dn.net/?f=1.014%5Ctimes10%5E%7B14%7D%20)
<---How much is produced by all the trees in a year.
They want how much each day so divide by 365
![\frac{1.014\times10^{14}}{365} = 2.77808\times10^{11}](https://tex.z-dn.net/?f=%5Cfrac%7B1.014%5Ctimes10%5E%7B14%7D%7D%7B365%7D%20%3D%202.77808%5Ctimes10%5E%7B11%7D)
![2.77808\times10^{11}](https://tex.z-dn.net/?f=2.77808%5Ctimes10%5E%7B11%7D)
<---answer per day
Answer:
Minimum average cost = 743.75
Number of dvds to achieve the cost = 62.5
Step-by-step explanation:
Given the cost equation
C = 0.04x² − 5x + 900
To Obtian the minimum average cost ;
Find dc/dx = 0
Diffentiate cost, c it ith respect to x
dc/dx = 2(0.04x) - 5
dc/dx = 0.08x - 5 = 0
0.08x = 5
x = 5 / 0.08
x = 62.5
Substitute the value of x into C to obtain the minimum average cost
C = 0.04(62.5)² - 5(62.5) + 900
C = 743.75
In mathematics, a polynomial is an algebraic expression containing more than two terms. When the polynomial could not be reduced to a lower degree, it is classified as a prime polynomial. Just like whole numbers, a prime polynomial cannot be broken down into factors except 1 and by the number itself. Take for example, the polynomial x² + 5x + 6. It can be reduces to its factors x=-2 and -3. That would be expressed to x² + 5x + 6 = (x+2)(x+3). But if the polynomial is, say, x² + 5x + 7, there is no roots that are whole numbers. Therefore, it can't be reduced into factored groups because it is a prime polynomial.