Quickly what is the binomial expansion of (x + 2)4? a. x4 + 4x3 + 6x2 + 4x + 1 b. 8x3 + 24x2 + 32x c. x4 + 8x3 + 24x2 + 32x + 16 d. 2x4 + 8x3 + 12x2 + 8x + 2

Write out the 5th row of Pascal's triangle as a sequence:

1,4,6,4,1

Write out the powers of 2 from 24 down to 20:

16,8,4,2,1

Multiply the two sequences together to get:

16,32,24,8,1

These are the coefficients of the binomial expansion:

(2+x)4=16+32x+24x2+8x3+x4

Step-by-step explanation:

USe pascals triangle

WE need to 5th row in pascals triangle because we have exponent 4 (1, 4,6,4,1)

where i ranges from 0 to 4

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.