What is the product of 6+5i and 4+7i?

-11+62i

Step-by-step explanation:

(6+5i)(4+7i)

Use the Distributive Property

24 + 42i + 20i + 35i²

Combine like terms

24+62i+35i^2

i^2 = -1

24+62i+35(-1)

24+62i+(-35)

24+(-35)= -11

-11+62i

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.

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72