If α and β are the zeros of the polynomials 3y²-8 y + 4, find a quadratic polynomial whose roots are 1/α and 1/β

4y² - 8y + 3 = 0

Step-by-step explanation:

given 3y² - 8y + 4 ← in standard form

with a = 3, b = - 8, c = 4

and that α and β are roots of the polynomial, then

α + β = - = , and

αβ = =

sum of new roots = +

                             =

                             = = 2

product of new roots =  ×

                                   = = =

Hence the required equation is

y² - 2y + = 0 ( multiply through by 4 )

4y² - 8y + 3 = 0

$18 was the price of the t-shirt

step-by-step explanation:

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: