Answer:
4x² -20x +61
Step-by-step explanation:
the quadratic equation can be written as (x-root1)(x-root2)
(x-(5/2) -3i) (x-(5/2)+3i), distribute
x² -(5/2)x +3xi -(5/2)x + 25/4 -(15/2)i -3xi +(15/2)i -9i², simplify
x² -(5/2)x -(5/2)x + 25/4 -9i², use the fact that i² =(√-1)² = -1 and substitute i²
x² -(5/2)x -(5/2)x + 25/4 +9, combine like terms and rewrite 9 as 36/4
x² -(10/2)x +25/4 + 36/4, combine like terms and simplify
x² -5x +61/4 is the quadratic expression yet it does not have integer coefficients so multiply by 4 to have all coefficients integers
4x² -20x +61
to find the volume you would multiply length width and height
Answer:
x³+3x²+3x+1
Step-by-step explanation:
=(x+1)(x+1)(x+1)
=(x+1)(x²+x+x+1)
=(x+1)(x²+2x+1)
=(x³+2x²+x+x²+2x+1)
=x³+3x²+3x+1
Answer:
Option 4
Step-by-step explanation:
It's a geometric progression.
After t years,
500(1.1^t)
After 6 years,
500(1.1⁶) = 885.7805
Answer:
7/8
Step-by-step explanation:
1/2+1/4=3/4
3/4 + 1/8=7/8
