Every time x increases by 1,y decreases by 3,and when x is -6,yis-3.which function models the realation ship between x and y?
a)y= -6x-21
b)y= -6x-3
c)y= -3x-3
d)y= -3x-21

D.

Step-by-step explanation:

We have been given that every time x increases by 1,y decreases by 3. This means that slope of our given line is negative 3.

We will use slope-intercept form of equation to find the required function.

, where,

m = Slope of line,

b= The y-intercept.

Upon substituting and and in slope-intercept form of equation, we will get,

Upon substituting and in slope-intercept form of equation, we will get our required equation as:

Therefore, option D is the correct choice.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2