For this case we have that by definition:
![(fg) (x) = f (x) * g (x)](https://tex.z-dn.net/?f=%28fg%29%20%28x%29%20%3D%20f%20%28x%29%20%2A%20g%20%28x%29)
So:
![(fg) (x) = (3x ^ 2 + 5) (x-2)](https://tex.z-dn.net/?f=%28fg%29%20%28x%29%20%3D%20%283x%20%5E%202%20%2B%205%29%20%28x-2%29)
We apply distributive property that states that:
![(a + b) (c + d) = ac + ad + bc + bd](https://tex.z-dn.net/?f=%28a%20%2B%20b%29%20%28c%20%2B%20d%29%20%3D%20ac%20%2B%20ad%20%2B%20bc%20%2B%20bd)
In addition, we take into account that:
![+ * - = -](https://tex.z-dn.net/?f=%2B%20%2A%20-%20%3D%20-)
![(fg) (x) = 3x ^ 3-6x ^ 2 + 5x-10](https://tex.z-dn.net/?f=%28fg%29%20%28x%29%20%3D%203x%20%5E%203-6x%20%5E%202%20%2B%205x-10)
Answer:
![3x ^ 3-6x ^ 2 + 5x-10](https://tex.z-dn.net/?f=3x%20%5E%203-6x%20%5E%202%20%2B%205x-10)
Option B
The graph of the function y=f(x-a)+b (a>0, b>0) is obtained from the graph of the function y=f(x) by translating right a units and up b units.
The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down).
Answer: correct choice is A.
So let's see here...
6:00 A.M. temperature is 33°F.
12:00 P.M temperature increased by 10°F making it 43°F.
3:00 P.M. temperature increased by another 12°F making it 55°F.
At 10:00 P.M it would decrease by 15°F making it 40°F.
The temperature would need to fall (or decrease) by 7°F to reach the original temperature of 33°F
Hope this helped!
0.7777777778
there you go your welcome
Answer:
Step-by-step explanation:
(3p+6)/(7p-9)