Answer:
a = - 2, b = - 6
Step-by-step explanation:
Substitute the values of the zeros into the polynomial and equate to zero.
x² +(a + 1)x + b
x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is
4 - 2a - 2 + b = 0
2 - 2a + b = 0 ( subtract 2 from both sides )
- 2a + b = - 2 → (1)
x = 3 → 3² + 3(a + 1) + b = 0, that is
9 + 3a + 3 + b = 0
12 + 3a + b = 0 ( subtract 12 from both sides )
3a + b = - 12 → (2)
Subtract (1) from (2) term by term to eliminate b
5a = - 10 ( divide both sides by 5 )
a = - 2
Substitute a = - 2 into either of the 2 equations and evaluate for b
Substituting into (2)
3(- 2) + b = - 12
- 6 + b = - 12 ( add 6 to both sides )
b = - 6
Thus a = - 2 and b = - 6
Answer:
170 tickets.
Step-by-step explanation:
Write formulas for the question.
Then use substitution.
So number of $3 tickets sold is 230. But they ask for the tickets bought in advance (i.e. the tickets sold for $2). Use substitution again.
The answer is A) The original height of the plant was 4 mm
The break even point is the point where in the total cost and the total revenue of the business are of the same value which means there is no profit or no loss. It is would be the minimum point that a business to reach in order to be able to recover the costs without any loss. At this point selling cost is equal to the sum of the fixed cost and the variable cost. To determine the break even point in units, we do as follows:
SC = FC + VC
Px = FC + Vx
where x is the number of units, P is the price per unit and V is the variable cost per unit.
x = FC / P - V
x = 561000 / (8.00 - 0.50)
x = 74800 units
1/6 = 1 batch, 2/6 = 2 batches and so on
if the factory used 1/2, the factory used 3/6 of a barrel, which equals to 3 batches.
<em>hope it helps :)</em>
