What are the solutions of the equation (x + 2)^2+ 12(x + 2)-14=0? Use u substitution and the quadratic formula to solve

Step-by-step explanation:

Obviously, we are letting u = x + 2. So what we have when we rewrite using this substitution is

and we plug that into the quadratic formula with

a = 1, b = 12, c = -14:

which can be simplified to

and a bit more to

and a tiny bit more to

and finally to

and plug back in for u:

x + 2 = -6 ± 5√2 and then subtract the 2 to get

x = -8 ± 5√2

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.