For fog or f(g(x)), plug g(x) into f(x):
2(3x+2)²+x
Then simplify:
2( (3x+2)(3x+2) )+x
2( 9x²+12x+4 )+x
18x²+24x+8 +x
18x²+25x+8
Then you can simplify this further using factoring methods to:
(2x+1)(9x+8)
Hope this helps!! :)
Answer:
b. 
a. ![\displaystyle [8x + 12y]^2 + [6x + 9y]^2 = [10x + 15y]^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B8x%20%2B%2012y%5D%5E2%20%2B%20%5B6x%20%2B%209y%5D%5E2%20%3D%20%5B10x%20%2B%2015y%5D%5E2)
Step-by-step explanation:
b. 
a. ![\displaystyle [8x + 12y]^2 + [6x + 9y]^2 = [10x + 15y]^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B8x%20%2B%2012y%5D%5E2%20%2B%20%5B6x%20%2B%209y%5D%5E2%20%3D%20%5B10x%20%2B%2015y%5D%5E2)
The two expressions are identical on each side of the equivalence symbol, therefore they are an identity.
I am joyous to assist you anytime.
Answer:
80 square meters
Step-by-step explanation:
A rectangle that is partitioned into two rectangles; rectangle A and rectangle B
Rectangle A:
Top = 5 meters
Side = 8 meters
Area of rectangle A = length × width
= 5 meters × 8 meters
= 40 meters ²
Rectangle B:
Top = 5 meters
Side = 8 meters
Area of rectangle B = length × width
= 5 meters × 8 meters
= 40 meters ²
Total area of the partitioned rectangle = area of rectangle A + area of rectangle B
= 40 meters ² + 40 meters ²
= 80 meters ²
40 miles an hour and yeah..
Answer:
234 hours
Step-by-step explanation:
To find the miles per hour, divide 72 by 2 and that equals 36. So 36 miles every hour. So then do 36 × 6 which equals 216. So this is 216 miles in 6 hours, but you still need 0.5 of an hour, so to find how far she travels in 0.5 of an hour, divide the amount she travels in one hour by two. So 36 ÷ 2 which equals 18. So she travels 18 miles every 0.5 of an hour. Then add 18 to the 216 which equals 234.
Hope This Helps!!!