Answer:
D
Step-by-step explanation:
Roots into factors:
x = -4 ----> (x + 4)
x = i -----> (x - i)
x = 5 -----> (x - 5)
(x + i)(x - 4)(x + 5)
(x - i)(x² - 4x + 5x - 20)
(x - i)(x² + x - 20)
x³ + x² - 20x - (ix² + ix - 20i)
x³ + (1 - i)x² - (20 + i)x + 20i
Daniela invested a total of $50,00, some in a certificate of deposit (cd) and the reminder in bonds. The amount invested in bonds was $5000 more than twice the amount she put into cd. How much did she invest in each account ?
1) expand the brackets
6(-3 - x) - 2x = 14
-18 - 6x - 2x = 14
simplify
-18 - 8x = 14
then add 18 to both sides to get the x's on there own
-8x = 32
then divide by -8
x = 32/-8
x = -4
2) multiply everything by 7x
2 + (6 x 7x) + ( 17x × 7x) = 18 x 7x
2 + 42x + 119x^2 = 126x
put everything on one side
119x^2 - 84x + 2 = 0
then use quadratic equation to solve
x = 0.024671849 or 0.6812105039
Answer:
Major arc
Step-by-step explanation:
Minor arcs measure less than the semicircle
Major arcs measure more than the semicircle
