Answer:
Step-by-step explanation:
Part A
In applying the synthetic division, the polynomial would be fully expressed as
2x³ + 0x² + 5x - 6
The coefficients are 2, 0, 5 and - 6
The working becomes
2| 2 0 5 -6
4 8 16
2 4 13 10
The student that correctly used synthetic division to find f(2) is Claudia
Part B
The value of f(2) is
2(2)^3+5(2) - 6
= (2 × 8) + 10 - 6
= 16 + 10 - 6 = 20
Part C
x - 2 is not a factor of 2x³ + 5x - 6 because there is a remainder of 20.
Part D
The methods that can be used to find out if x - 2 is a factor of 2x³ + 5x - 6 are synthetic division, long division, remainder theorem
The answer to the question above as to which system of equations can be used to model the situation of Graham and Hunter when a cable lifts Graham into the air at a speed of 1.5 ft/s and Hunter throws the ball from a position of 5 ft. above the ground with an initial velocity of 24 ft/s. the equation will be : H = 18t + 1.5t - 16t ^ 2
H = 5 + 24t - 16t ^ 2
Answer:
a) 0.064
b) 0.002
Step-by-step explanation:
a) Assuming that the batteries' voltage levels are independent
Probability = 0.8 * 0.8 = 0.64
b) batteries' voltage levels are dependent
20/19 (0.064)^19 *0.036 + 20/20 (0.064)^20 *0.036^0
= 0.002
$32,750 + $375 = 33125
$33,125 * .06= 1987.50
$33,125+$1987.50= $35,112.50
$35,112.50+$50=$35,162.50
A. $35,162.50
