If the product of the two roots of the equation : (k - 2) x2 - 6 X + 12 = 0 is 3, then k = (a) zero
(b) 4
(c) 6
(d) 38

(c)

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0

Then the product of the roots =

(k - 2)x² - 6x + 12 = 0 ← is in standard form

with a = k - 2 and c = 12 , thus

= 3 ( multiply both sides by (k - 1) )

12 = 3(k - 2) = 3k - 6 ( add 6 to both sides )

18 = 3k ( divide both sides by 3 )

6 = k → (c)

answer: 800

step-by-step explanation:

a. (14,375+570)(5.3) b. 158,417$

step-by-step explanation:

a. you are basically just setting up the equation. f= amount of debt hence 14,375. g= how much she is borrowing from her parents weekly hence 570 and t= the interest on her debt. creating the equation.

b.   14,375+570= 14,945

      14,945 x 5.3 = 79,208.5

      79,208.5 x 2(years) = 158,417(answer)