Step-by-step explanation:
Using the Intermediate Value Theorem, the following is applied:
"If f(x) is a continuous on interval [a,b] and we have two points f(a) and f(b) then there must be some value c such that f(a)<f(c)<f(b).
So here there must be a c such that
![f(0) < f(c) < f(1)](https://tex.z-dn.net/?f=f%280%29%20%3C%20f%28c%29%20%3C%20f%281%29)
Note: F(c)=0, the questions that the function have a solution between 0 and 1, so that means we must have some value, c such that f(c)=0 that exists
Next, plug in the x values into the function
![f(0) = - 4](https://tex.z-dn.net/?f=f%280%29%20%20%3D%20%20-%204)
![f(1) = {1}^{3} + 7(1) - 4 = 4](https://tex.z-dn.net/?f=f%281%29%20%3D%20%20%7B1%7D%5E%7B3%7D%20%20%2B%207%281%29%20-%204%20%3D%204)
Since cubic functions are continuous and -4<0<4, then there is a solution c that lies between f(0) and f(1)
(f - g)(x) = (3x² + 1) - (1 - x)
= 3x² - x
OR
= x(3x - 1)
The answer is 40 miles around it
<span>5.5*10^5 = 550,000 tons
</span><span>$23,000 per ton
</span>
23,000 x 550,000 = <span>$12,650,000,000 (total value)
</span>Now to convert to scientific notation.
<span>1.265 x 10^10
</span>
Hope that was useful :)