2y^3 – 2y – 10y + 10 + y^2 – 1 < 0 [the terms are simply reorganized again]
factor 2y from the first two terms, -10 from the second two terms
2y (y^2 -1) – 10 (y-1) + y^2 – 1 < 0
2y (y+1)(y–1) – 10 (y-1) + (y+1)(y–1) < 0 [ because y^2 – 1 = (y+1)(y–1) ]
factor out (y-1) from all the terms
(y-1) [2y(y+1)-10+ y+1] < 0
(y-1) [(y+1) (2y+1) - 10] < 0
Let us simplify (y+1) (2y+1) - 10 < 0 now
(y-1) (2y^2+y+2y+1-10) < 0
(y-1) (2y^2 +3y -9 < 0
(y-1) (2y^2 +6y -3y - 9) < 0 [ because 3y = 6y -3y] j
Two vertical angles are formed. These angles are also equal to each other.
Answer:
8% out of 175 = ( 8 ÷ 100 ) × 175 = 14
175 cm - 14 = 161 cm
...............
Answer:
$541.63
Step-by-step explanation:
To find the balance of Gurindas, we need to break down our values.
Checking Balance = $532.14
Checks = $-46.19 + $-138.32 = $-184.51
Deposit = $200
Service Charge = $-6
Now to find her new balance, we simply add them all together.
New Balance = 532.14 + -184.51 + 200 + -6
New Balance = $541.63
