Answer:
C
Step-by-step explanation:
(2x + 3)^5 = C(5,0)2x^5*3^0 +
C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5
Recall that
C(n,r) = n! / (n-r)! r!
C(5,0) = 1
C(5,1) = 5
C(5,2) = 10
C(5,3) = 10
C(5,4) = 5
C(5,5) = 1
= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5
= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243
= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243
= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243
Answer:
Step-by-step explanation:
<u>Perimeter is:</u>
- P = a + b + c
- P = 4x - 3 + x + 9 + 8 = 5x + 14
<u>Area is:</u>
- A = 1/2bh
- A = 1/2*8*3x = 12x
Correct choice is A
Answer:
Work Shown:
This can be rewritten into
Answer:
Step-by-step explanation:
Let's write a equation.
5 ft = 20 seconds
(five feet is reachable in 20 seconds)
Divide both sides by 5.
5/5=1
20/5=4
1 ft = 4 seconds
Let's say the destination is d and f is foot.
d = 4f