Answer:
10+5=15
Step-by-step explanation:
First, we use the rational root theorem to determine any solutions of p(x). <span>= x3 + 4x2 + x − 6</span>
Factoring -6:
1
-1
2
-2
3
-3
6
-6
<span>x = 1 </span>
<span>p(1) = 1^3 + 4 * 1^2 + 1 - 6 = 6 - 6 = 0 </span>
<span>x = 1 is a solution. </span>
(x^3 + 4x^2 + x - 6) / (x - 1) =
x^3 / x = x^2
x^2 * (x - 1) = x^3 - x^2
x^3 + 4x^2 - x^3 + x^2 = 5x^2
5x^2 / x = 5x
5x * (x - 1) = 5x^2 - 5x
5x^2 + x - 5x^2 + 5x = 6x
6x / x = 6
6 * (x - 1) = 6x - 6
6x - 6 - 6x + 6 = 0
<span>(x - 1) * (x^2 + 5x + 6) </span>
x^2 + 5x + 6 factors to (x + 3) * (x + 2)
Factors:
<span>(x - 1) </span>
<span>(x + 2) </span>
<span>(x + 3) </span>
<span>roots: </span>
<span>x = 1 </span>
<span>x = -2 </span>
<span>x = -3</span>
Two lines are parallel if they have the same slope. Two likes are perpendicular if they have opposite reciprocal slopes.
-3x + 7y = 5
7y = 3x +5
slope = 3/7
3y = -7x +15
Slope = -7/3
So, these lines are perpendicular.
Hope this helps!
Answer:
Decimal: 1.82. Percent: 182%
Step-by-step explanation:
<span>D: a and b are odd that should be the answer </span>