Answer:
Step-by-step explanation:
x³+6x²-3x-5)-3x⁵+11x⁴+33x³-26x²-36x-6(-3x²+29x-150
-3x⁵-18x⁴+9x³+15x²
-------------------------------
29x⁴+24x³-41x²-36x-6
29x⁴+174x³-87x²-145x
------------------------------------
-150x³+46x²+109x-6
-150x³-900x²+450x+750
--------------------------------------
946x²-341x -756
Therefore
-3x⁵+11x⁴+33x³-26x²-36x-6=(x³+6x²-3x-5)(-3x²+29x-150)+ 946x²-341x -756
Answer:
$50
Step-by-step explanation:
Interest = PRT/100
Principal P = $500
Rate R = 5%
Time T = 2years
Get the interest
Interest = 500*5*2/100
Interest = 5 * 5 * 2
Interest = $50
Hence the interest eaned after 2years is $50
9514 1404 393
Answer:
B) -3
Step-by-step explanation:
There are methods for finding only c. Cramer's rule is one of them. It involves finding two determinants and taking their ratio. Here, we choose a more <em>ad hoc</em> approach. It appears that the value of b can be found by combining the last two equations.
(1/2)(2a +4b -2c) -(a -3b -c) = (1/2)(12) -(-4)
5b = 10
b = 2
Now, we can substitute this value into the first two equations. This gives ...
5a +c = -8
a - c = 2
Subtracting 5 times the second from the first gives ...
(5a +c) -5(a -c) = (-8) -5(2)
6c = -18 . . . . simplify
c = -3 . . . . . . divide by 6
The value of c is -3.
Answer:
61
Step-by-step explanation:
The sum of all the angles in any triangle is 180.
To find x, just add the other two angles and subtract the sum from 180.
37 + 82 = 119
180 - 119 = 61.
Therefore, the answer is 61 degrees.