What is the fifth term in the binomial expansion of (x + 5)8?

Step-by-step explanation:

Given:

It is binomial expansion. It has two term with power 8.

Formula:

If then

This is general formula of the expansion.

For fifth term, T₅

So, r=4

Put r=4 and n=8, a=x, b=5 into formula and we get

Hence, The fifth term of the given binomial is 43750x⁴

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

the answer is 21%.