Answer:
![(x-5)(x+8)=x^2+3x-40](https://tex.z-dn.net/?f=%28x-5%29%28x%2B8%29%3Dx%5E2%2B3x-40)
Step-by-step explanation:
So we have the expression:
![(x-5)(x+8)](https://tex.z-dn.net/?f=%28x-5%29%28x%2B8%29)
To multiply, distribute the left to the terms on the right:
![=(x-5)(x)+(x-5)(8)](https://tex.z-dn.net/?f=%3D%28x-5%29%28x%29%2B%28x-5%29%288%29)
Distribute:
![=(x^2-5x)+(8x-40)](https://tex.z-dn.net/?f=%3D%28x%5E2-5x%29%2B%288x-40%29)
Combine like terms:
![=(x^2)+(-5x+8x)+(-40)](https://tex.z-dn.net/?f=%3D%28x%5E2%29%2B%28-5x%2B8x%29%2B%28-40%29)
Simplify:
![=x^2+3x-40](https://tex.z-dn.net/?f=%3Dx%5E2%2B3x-40)
Therefore:
![(x-5)(x+8)=x^2+3x-40](https://tex.z-dn.net/?f=%28x-5%29%28x%2B8%29%3Dx%5E2%2B3x-40)
Answer:
Negative thirty
Step-by-step explanation:
There is a 3% chance of each light bulb being defective, and we only want 5 of them to be defective. The chance is then:
![3\%^5*97\%^{25}](https://tex.z-dn.net/?f=3%5C%25%5E5%2A97%5C%25%5E%7B25%7D)
Or this really small number: 1.13474853e-8
Answer:
(2,0), (0,3), (1 3/5)
Step-by-step explanation: