List the following rational numbers in order from least to greatest -1/2, 2.5, -8 1/4, 1 1/2,-1.5,3

-8, -1.5, 1/2, 1/4, 1/2, 1, 2.5, 3

Step-by-step explanation:

-8, -1.5 , -1/2 , 1/4 , 2.5, 3 , 11/2 (if is not 11/2 but 1  and 1/2) the answer is : -8, -1.5 , -1/2 , 1/4 , 1/2, 1 , 2.5, 3

Step-by-step explanation:

First of all we have to express the decimal numbers with a fraction

2.5 = 25/10 = 5/2

-1.5 = -15/10 = -3/2

now we have to express al numbers with a fraction with the same denominator. In this case the value that help us the most is 4

-1/2 = -2/4

5/2 = 10/4

-8 = -32/4

1/4 = 1/4

11/2 = 22/4

-3/2 = -6/4

3 = 12/4

now we have to check only the numerators for discover the order of the numbers. So from the least to the greatest we have:

-32/4 ; -6/4 ; -2/4 ; 1/4 ; 10/4 ; 12/4 ; 22/4

the final step is rewrite the original numbers in this order

-8, -1.5 , -1/2 , 1/4 , 2.5, 3 , 11/2

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: