Answer:
.0000214
Step-by-step explanation:
i think its wrong but hope it helps
First find all possible rational roots. To do this, find all the factors of the lowest order coefficient and the highest order coefficient. For #1, the highest order coefficient is 1 because the x^3 doesn't have a number in front of it. The lowest order coefficient is 30.
Here are all the factors:
Factors of 1 are: 1
Factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Now divide each factor of 30 (positive and negative), and divide them by each factor of 1.
All possible rational roots are:
-1, 1, -2, 2, -3, 3, -5, 5, -5, 6, -10, 10, -15, 15, -30, 30
Now we perform synthetic division like you have started to do. Try dividing the polynomial by each possible root. If the result has a remainder, that possible root does NOT work. Try another possible root. If there is not a remainder, you have found one of the roots.
For example, when dividing x^3 - 4x^2 -11x + 30 by the possible root 2, we get x^2 - 2x - 15 without a remainder. That means 2 is a root. From here we can factor the result to (x-5)(x+3).
So the roots for #1 are x = -3, 2, and 5.
Let me know if you need help with the others :)
you have 10 fish and 3 died (must not have been taking very good care of them ?), but it didnt say that you cleaned them out ...
so you still have 10 fish in the tank
8 more got put in, so 10 + 8 = 18 fish
2 died but you STILL didnt take them out, so you have 18 fish in the tank now.
Answer:
∠ A = 35°, ∠ B = 70°, ∠ C = 75°
Step-by-step explanation:
let ∠ A be x then ∠ B is 2x ( twice as large as A ) and
∠ C is 2x + 5 ( 5 more than B )
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 2x + 2x + 5 = 180, that is
5x + 5 = 180 ( subtract 5 from both sides )
5x = 175 ( divide both sides by 5 )
x = 35
Thus
∠ A = x = 35°
∠ B = 2x = 2 × 35° = 70°
∠ C = 2x + 5 = 70 + 5 = 75°
