75. simplify the expression: -2x(4x^2 - 5x + 3)-8x^2 + 10x - 68x^3 - 10x^2 + 6x-8x^3 + 10x^2 - 6x-8x^3 - 5x + 3

-2x(4x² - 5x + 3)    Distribute/multiply -2x into (4x² - 5x + 3)

(4x²)(-2x) - (5x)(-2x) + (3)(-2x)

-8x³ + 10x² - 6x

Your answer is the 3rd option

the distance between point a and point b is 6 units

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.