Write the absolute value equations in the form x−b=c (where b is a number and c can be either number or an expression) that have the following solution sets:

A. Two solutions: x=2, x=13.

B. One solution: x=23.

C. Two solutions: x= 1/2 , x=− 1/3 .

D. One solution: x=−3.

E. One solution: x=−4.1.

F. All numbers such that x≥5.

G. All numbers such that x≤5.

H. All numbers such that x≤−14.

I. All numbers such that x≥−1.3.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

do you have an easier question cause this shh is hard like theheck

step-by-step explanation: