Answer:
The image is blurry...try fixing it so I can help you.
For this case, to find the roots of the function, we equate to zero.
![x ^ 3 + 2x ^ 2-x-2 = 0](https://tex.z-dn.net/?f=x%20%5E%203%20%2B%202x%20%5E%202-x-2%20%3D%200)
We rewrite how:
![x ^ 3 + 2x ^ 2- (x + 2) = 0](https://tex.z-dn.net/?f=x%20%5E%203%20%2B%202x%20%5E%202-%20%28x%20%2B%202%29%20%3D%200)
We factor the maximum common denominator of each group:
![x ^ 2 (x + 2) -1 (x + 2) = 0](https://tex.z-dn.net/?f=x%20%5E%202%20%28x%20%2B%202%29%20-1%20%28x%20%2B%202%29%20%3D%200)
We factor the polynomial, factoring the maximum common denominator![(x + 2):](https://tex.z-dn.net/?f=%28x%20%2B%202%29%3A)
![(x + 2) (x ^ 2-1) = 0](https://tex.z-dn.net/?f=%28x%20%2B%202%29%20%28x%20%5E%202-1%29%20%3D%200)
By definition of perfect squares we have to:
![a ^ 2-b ^ 2 = (a + b) (a-b)](https://tex.z-dn.net/?f=a%20%5E%202-b%20%5E%202%20%3D%20%28a%20%2B%20b%29%20%28a-b%29)
ON the expression![(x ^ 2-1):](https://tex.z-dn.net/?f=%28x%20%5E%202-1%29%3A)
![a = x\\b = 1](https://tex.z-dn.net/?f=a%20%3D%20x%5C%5Cb%20%3D%201)
So:
![(x ^ 2-1) = (x + 1) (x-1)](https://tex.z-dn.net/?f=%28x%20%5E%202-1%29%20%3D%20%28x%20%2B%201%29%20%28x-1%29)
Thus, the factorization of the polynomial is:
![(x + 2) (x + 1) (x-1) = 0](https://tex.z-dn.net/?f=%28x%20%2B%202%29%20%28x%20%2B%201%29%20%28x-1%29%20%3D%200)
![x_ {1} = - 2\\x_ {2} = - 1\\x_ {3} = 1](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%20-%202%5C%5Cx_%20%7B2%7D%20%3D%20-%201%5C%5Cx_%20%7B3%7D%20%3D%201)
ANswer:![x_ {1} = - 2\\x_ {2} = - 1\\x_ {3} = 1](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%20-%202%5C%5Cx_%20%7B2%7D%20%3D%20-%201%5C%5Cx_%20%7B3%7D%20%3D%201)
Answer:
1.33 x 10⁻⁸ seconds
Step-by-step explanation:
Assuming that the speed of light is 299,792,458 m/s, and that in order to bounce of Bill's forehead, hit the mirror and return back to his eyes, light must travel 4 meters (distance to the mirror and back) the time that it takes for light to travel is:
![t=\frac{4}{299,792,458} \\t=1.33*10^{-8}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B4%7D%7B299%2C792%2C458%7D%20%5C%5Ct%3D1.33%2A10%5E%7B-8%7D)
It takes 1.33 x 10⁻⁸ seconds.
Solve either equation for either variable. Since the second one has y on its own, the easiest choice is to solve that for y.
-5x + y = 13 ⇒ y = 5x + 13
Now substitute this into the other equation to eliminate y and rewrite it entirely in terms of x :
-3x + 3y = 3 ⇒ -3x + 3 (5x + 13) = 3
Simplify and solve for x :
-3x + 15x + 39 = 3
12x = -36
x = -3
Substitute this into either original equation to solve for y. Plugging x = -3 into the first equation would give
-3 (-3) + 3y = 3
9 + 3y = 3
3y = -6
y = -2
So the solution to the system of equations is (x, y) = (-3, -2).
Answer:
<u>Hey there the correct answer to this is Number line with open circle on 4 and shading to the right.
</u>
<u>Hope it helps to your question you are looking for! ;)</u>