Answer:
k = 5
Step-by-step explanation:
I will assume that your polynomial is
x^2 - 3x^2 + kx + 14
If x - a is a factor of this polynomial, then a is a root.
Use synthetic division to divide (x - 2) into x^2 - 3x^2 + kx + 14:
2 / 1 -3 k 14
2 -2 2k - 4
-------------------------------------
1 -1 (k - 2) 2k - 10
If 2 is a root (if x - 2 is a factor), then the remainder must be zero.
Setting 2k - 10 = to zero, we get k = 5.
The value of k is 5 and the polynomial is x^2 - 3x^2 + 5x + 14
Answer:
Step-by-step explanation:
Time varies inversely with speed if the distance is constant. This means that if speed increases, the time it will take to cover the same distance will reduce
t = k/s
Where t = time
k = constant of inverse proportionality
s = speed
It takes James 4 hours to get to his destination when he travels at 65 miles per hour
4 = k/65
k = 65×4 = 260
t = 260/s
If he drove 15 miles/ hour faster, the new speed is 65 + 15 = 80miles/hour.
The time it will take him is
t = 260/s
t = 260/80 = 3.25 hours
The amount of time he would save is
4 hours - 3.25 hours = 0.75 hours
Converting 0.75 hours to minutes, we multiply by 60
Amount if time saved in minutes = 0.75×60 = 45 minutes
Answer:
Step-by-step explanation:205
Answer:
(- 3, 2 )
Step-by-step explanation:
To determine which ordered pair is a solution, substitute the x and y- coordinates of the given points into the left side of the equation.
If the result is equal to the right side then the pair is a solution.
(2, - 2)
- 6(2) - 7(- 2) = - 12 + 14 = 2 ≠ 4 ← not a solution
(- 2, 2 )
- 6(- 2) - 7(2) = 12 - 14 = - 2 ≠ 4 ← not a solution
(- 3, 2 )
- 6(- 3) - 7(2) = 18 - 14 = 4 = right side ← a solution
(2, - 3 )
- 6(2) - 7(- 3) = - 12 + 21 = 9 ≠ 4 ← not a solution
(- 3,2 ) is a solution of the equation
