1. Multiply and simplify.
3.xy^4 z^2 . 5x²yx

a. 15(xyz)^11
b. 15x^4y^5z^2
c. 8x^4y^5z^2
d. 15x^2y^4z^2

2. simplify
4x^2 (5x^4 -3x^2 +x-2)
a. -20x^6 + 12x^4 - 4x^3 + 8x^2
b. -20x^8 + 12x^4 - 4x^2 + 8x
c. -20x^6 + 12x^4 + 4x^3 - 8x^2
d. -20x^6 - 12x^4 + 8x^3 -8x^2

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

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: