Solve 3(x + 1) = −2(x − 1) − 4
-1
1
-3
5

x = -1

Step-by-step explanation:

3(x + 1) = -2(x - 1 ) - 4

use the distributive property to get rid of the parentheses. on -2 and -1 they cancel each other out so it becomes + 2. now you have:

3x + 3 = -2x + 2 - 4 (+2 and -4 are like terms so they become -2. so technically its 3x + 3 = -2x -2)

get +3 on the other side by subtracting it from itself and then subtracting it from -2 so it becomes -5.

3x = -2x - 5

get -2x on the other side by adding 2x to itself then adding 2x to 3x so it becomes 5x

5x = -5

divide 5 from -5 and you get x = -1

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.