Answer:the binomial that is not a factor is x - 4
Step-by-step explanation:
The given polynomial is expressed as
P(x) = 3x^3 + 5x^2 - 4x - 4
The first step is to equate the polynomial to zero. It becomes
P(x) = 3x^3 + 5x^2 - 4x - 4 = 0
We would substitute each value of x into the polynomial. If the result is zero, then it is a factor.
1) x - 4 = 0, x = 4
Therefore,
3×4^3 + 5 × 4^2 - 4 × 4 - 4 = 0
384 + 80 - 16 - 4 = 444
2) x + 2 = 0, x = - 2
Therefore,
3 × -2^3 + 5 × -2^2 - 4 × -2 - 4 = 0
- 24 + 20 + 8 - 4 = 0
3) x = 1
Therefore,
3 × 1^3 + 5 × 1^2 - 4 × 1 - 4 = 0
4) 3x + 2 = 0
3x = - 2
x = - 2/3
Therefore
3 × (-2/3)^3 + 5 × (-2/3)^2 - 4 × (-2/3) - 4 = 0
You have it right because the negative sign is outside of the absolute value, still making it negative.
Answer:
Length = 34
Step-by-step explanation:
Perimeter of rectangle = a+a+b+b = 2(a+b)
Let a = length = 2b - 4
Let b = width
Therefore
(2b-4) + (2b-4) + b + b = 106 cm
Bracket off
2b-4+2b-4+b+b = 106cm
Collect like terms
2b+2b+b+b-4-4 = 106cm
6b-8 = 106
6b = 106+8
6b = 114
b = 114÷6
b = 19
To get a
2b - 4
2(19) - 4
38-4
= 34
Answer:
Step-by-step explanation:
A. The steady state probability vectorπ= (π1, π2, π3, π4, π5, π6, π7) satisfies the system ofequations:πP=π,7Xi=1πi= 1which has solutionπ= (π1, π2, π3, π4, π5, π6, π7) = (0.1389,0.1389,0.1390,0.1383,0.1411,0.1302,0.1736)
(B) At any time period, an emergency delivery will be needed ifXn= 1 and the demands either 2 or 3, or ifXn= 2 and the demand is 3. The long-run proportion of time the chain will be in state 1 isπ1 and in-state 2π2.
Answer:
y = x+7
Step-by-step explanation:
Assuming all of these numbers are ordered pairs (coordinates) when x is 1 y is 8, when x is 2 y is 9 and so on. If you notice y is going up by 1 every time so it follows that the starting point (y intercept) must be 7. Therefore, our equation will be y = x + 7.
Test it out:
Let x =2
y = 2 + 7 = 9 This matches our coordinate (2,9) so it's correct.
Let x =4
y = 4 + 7 = 11 This matches our coordinate (4,11) so it's correct.
Feel free to try out the rest of the coordinates, but usually 2 is enough to confirm that your equation is correct.
