What is the coefficient of x^2y^3 in the expansion of (2x+y)^5

The coefficient of x²y³ is 40.

Step-by-step explanation:

The binomial expansion is defined as

The expression is

Expand the binomial expansion.

Combination formula:

Therefore the coefficient of x²y³ is 40.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.