The table below shows two equations: equation 1 |4x − 3|− 5 = 4 equation 2 |2x + 3| + 8 = 3 which statement is true about the solution to the two equations? (1 point) a)equation 1 and equation 2 have no solutions. b)equation 1 has no solution, and equation 2 has solutions x = −4, 1. c)the solutions to equation 1 are x = 3, -1.5, and equation 2 has no solution. d)the solutions to equation 1 are x = 3, −1.5, and equation 2 has solutions x = −4, 1.

C.

Step-by-step explanation:

First, notice eqn 2 asks for a positive number to add to 8 and get 2. Eliminate all choices which claim eqn 2 has a solution.

Second, to eliminate A, add 5 to both sides and notice the absolute value isn't being asked to be negative.

To check, verify

|4 × 3 − 3|− 5 = 4

|4 × (-1.5) − 3|− 5 = 4

d

step-by-step explanation:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0