Answer:
![(x^2+1)(x-2)](https://tex.z-dn.net/?f=%28x%5E2%2B1%29%28x-2%29)
Step-by-step explanation:
The polynomial given is: ![x^{3}-2x^{2}+x-2](https://tex.z-dn.net/?f=x%5E%7B3%7D-2x%5E%7B2%7D%2Bx-2)
<em><u>Grouping the first 2 terms together and the last 2 terms together and taking common, we have:</u></em>
![x^3-2x^2+x-2\\=(x^3-2x^2)+(+x-2)\\=x^2(x-2)+1(x-2)\\=(x^2+1)(x-2)](https://tex.z-dn.net/?f=x%5E3-2x%5E2%2Bx-2%5C%5C%3D%28x%5E3-2x%5E2%29%2B%28%2Bx-2%29%5C%5C%3Dx%5E2%28x-2%29%2B1%28x-2%29%5C%5C%3D%28x%5E2%2B1%29%28x-2%29)
This is the complete factorization.
Answer:
The ribbon cost is $77
Step-by-step explanation:
Firstly, we need to get the 3rd side of the triangle
This represents the hypotenuse since we have 2 legs, we need the side connecting the legs
To get this, we use Pythagoras’ theorem
This states that the square of the hypotenuse equals the sum of the squares of the two other sides
Let the hypotenuse be marked x
Thus;
x^2 = 56^2 + 33^2
x^2 = 3136 + 1089
x^2 = 4225
x = square root of 4225
x = 65 feet
So the length of all the sides will be;
56 + 33 + 65 = 154 feet
So the cost of the ribbon will be;
154 feet. * 0.5
= $77
The maximum percentage of individuals who own a bike is <span>21.5%</span>
To answer this question, substitute the number of tickets sold for the x value.
y = 3.4(15) + 43
Solve the equation by first multiplying the 3.4 and the 15.
3.4 x 15 = 51
This leaves your equation looking like this:
y = 51 + 43
The final step is to add he two integers together.
51 + 43 = 94
So the final answer is y = 94