Answer:
D) 24x + 52
Step-by-step explanation:
The perimeter of the purple rectangle is
P =2(l+w)
=2 (4x+5 + 2x+7)
Combine like terms
=2 (6x+12)
Distribute
= 12x +24
The perimeter of the white rectangle is
P =2(l+w)
P =2(3x+14 +3x)
Combine like terms
=2(6x+14)
Distribute
12x +28
Add the perimeters
12x +24 + 12x +28
24x +52
Answer:

Step-by-step explanation:
Because we have to rewrite this equation in the format
, we have to divide, or factor to find basic terms,
Expanding the value of k(x), we have
. We see that each term can be divisible by 4, so we can factor out 4 to get

Now, we have two different terms getting multiplied. We can separate the two to get 
Because we are multiplying 4 by the other term, this is represented by 
Now, we can just set f(x) and g(x) to these functions:

Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.
Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).
Answer:
M- 300
N- 225
Step-by-step explanation:
525 - 75 = 450
450/2= 225
225 + 75 = 300
Total surface area of the triangular prism is 81.6 square m.
Step-by-step explanation:
= 3 × 2.6 + 8.2 ×9
= 7.8 + 73.8
= 81.6
- Total surface area of the triangular prism is 81.6 square m.
Answer:
8
Step-by-step explanation:
Using the equation in the directions (100-2x=84), we can find out how many questions Trevor got wrong on his Science test. First, we need to subtract 100-84=16 to find out how many points he lost. Trevor lost 16 points. Now we can divide 16/2=8, to find out how many questions he got wrong. Trevor got 8 questions wrong on his test.
Hope this helps!