Answer:
<h2>
x
- x - 6</h2><h2 />
Step-by-step explanation:
![(x + 2)(x - 3)](https://tex.z-dn.net/?f=%28x%20%2B%202%29%28x%20-%203%29)
Multiply each term in the first parentheses by each term in the second parentheses ( FOIL)
![x(x - 3) + 2(x - 3)](https://tex.z-dn.net/?f=x%28x%20-%203%29%20%2B%202%28x%20-%203%29)
Calculate the product
![{x}^{2} - 3x + 2x - 6](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20%2B%202x%20-%206)
Collect like terms
![{x}^{2} - x - 6](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%20x%20-%206)
Hope this helps..
Best regards!
Answer:
n= 100
Step-by-step explanation:
Product is the answer when two numbers are multiplied together. So, n×-6=600.
100×-6=-600
In this type of calculations, we decompose 13 by checking the lowest powers of the base, that is 40. for example we check 40^2, or 40^3 and compare it to 85
Notice
40*40*40=64,000
so we check how many time does 85 fit into 64,000:
64,000/85=752.94
85*753=64,005; 64000-64,005=-5
this means that
![40^{3} =-5\pmod{85}](https://tex.z-dn.net/?f=40%5E%7B3%7D%20%3D-5%5Cpmod%7B85%7D)
thus
![40^{13} =40^{3*4+1}={(40^{3})}^{4}*40=(-5)^{4}*40 \pmod{85}=\\\\625*40\pmod{85}=(7*85+30)*40\pmod{85}=30*40\pmod{85}\\\\=1200\pmod{85}=(14*85+10)\pmod{85}=10\pmod{85}](https://tex.z-dn.net/?f=40%5E%7B13%7D%20%3D40%5E%7B3%2A4%2B1%7D%3D%7B%2840%5E%7B3%7D%29%7D%5E%7B4%7D%2A40%3D%28-5%29%5E%7B4%7D%2A40%20%5Cpmod%7B85%7D%3D%5C%5C%5C%5C625%2A40%5Cpmod%7B85%7D%3D%287%2A85%2B30%29%2A40%5Cpmod%7B85%7D%3D30%2A40%5Cpmod%7B85%7D%5C%5C%5C%5C%3D1200%5Cpmod%7B85%7D%3D%2814%2A85%2B10%29%5Cpmod%7B85%7D%3D10%5Cpmod%7B85%7D)
Answer: 10 (mod85)
Remark, the set of all solutions is:
{......-75, 10, 95, .....}, that is 85k +10
Find the Vertex Form
y = -(x-3)^2-1