Answer:
D
Step-by-step explanation:
When a polynomial f(x) is divided by (x - a) then remainder is f(a)
A
divided by (x + 4 ), then a = - 4
- 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20
B
divided by (x - 2), then a = 2
3(2)³ + 7(2)² + 5(2) + 2
= 3(8) + 7(4) + 10 + 2
= 24 + 28 + 12 = = 64 ≠ 20
C
divided by (x + 5) , then a = - 5
(- 5)³ + 5(- 5)² - 4(- 5) + 6
= - 125 + 125 + 20 + 6 = 26 ≠ 20
D
divided by (x - 2), then a = 2
3
- 5(2)³ + 5(2) + 2
= 3(16) - 5(8) + 10 + 2
= 48 - 40 + 12 = 20 ← Remainder of 20
Step-by-step explanation:
The domain of the function is the range of x-values, which is -5 <= x <= 5. (D)
28 + vector b = -12
vector b = -40
vector b has magnitude 40 units in the negative y direction.
Answer: the cost of a cheeseburger is $4
Step-by-step explanation:
Let x represent the cost of one cheeseburgers.
Let y represent the cost of one Soda.
The patriot diner sells 2 cheeseburgers and one soda for $11.00. It means that
2x + y = 11 - - - - - - - - - - - 1
She also sells 3 cheeseburgers and 2 sodas for $18.00. It means that
3x + 2y = 18 - - - - - - - - - - -2
Multiplying equation 1 by 3 and equation 2 by 2, it becomes
6x + 3y = 33
6x + 4y = 36
Subtracting, it becomes.
- y = - 3
y = 3
Substituting y = 3 into equation 1, it becomes
2x + 3 = 11
2x = 11 - 3 = 8
x = 8/2 = 4
The answer would be $89,790. You take 164+328. To get 492. The you divided 492 by 2. To get 246. This is the average hamburgers made in a day. The you take that time 365. to get how much money is made in a year.
