Solve the absolute value equation. │4x + 3│= 3
A. x = 0 or x = negative three over two
B. x = 0 or x = 3 over 2
C. x = 1 or x = negative three over two
D. x = 1 or x = 3 over 2

A

Step-by-step explanation:

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |4x+3|

For the Negative case we'll use -(4x+3)

For the Positive case we'll use (4x+3)

-(4x+3) = 3

    Multiply

     -4x-3 = 3

    Rearrange and Add up

     -4x = 6

    Divide both sides by 4

     -x = (3/2)

    Multiply both sides by (-1)

     x = -(3/2)

    Which is the solution for the Negative Case

(4x+3) = 3

    Rearrange and Add up

     4x = 0

    Divide both sides by 4

     x = 0

    Which is the solution for the Positive Case

x=-3/2

x=0

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: