Answer:
m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9
Step-by-step explanation:
The given points are the y-intercept and the x-intercept, so they can be used directly in the intercept form of the equation of a line.
x/(x-intercept) +y/(y-intercept) = 1
x/3 +y/9 = 1
Multiplying by 9 gives ...
3x +y = 9
This can be rearranged to the slope-intercept form ...
y = -3x +9
_____
The answer selection shown above is the only one that matches the slope and y-intercept of the line through the given points.
If you expand out the brackets you get this,
(4+5i)(a+2i) = 4a + (5a)i + 8i - 10
The -10 comes from 5i * 2i.
Squaring i becomes -1.
Let's group the real stuff together,
and imaginary separately,
(4a - 10) + (5a + 8)i
For this to be purely imaginary,
the real part needs to be zero.
Therefore 4a - 10 = 0
Solve for a.
Answer:
36 minutes
2 rounds for Priya
3 rounds for Ravish
Step-by-step explanation:
The answer is the LCM (least common multiple) of 12 and 18.
12 = 2^2 x 3
18 = 3^2 x 2
=>LCM of 12 and 18 = 2^2 x 3^2 = 4 x 9 = 36
=> After 36 minutes they meet again at the starting point
=> At that time, Priya has completed: 36/18 = 2 rounds
=> At that time, Ravish has completed: 36/12 = 3 rounds
Economic Order Quantity
The economic order quantity, that is, the order quantity that minimizes the inventory cost is:
300 cases of tennis balls
Data and Calculations:
Sales of tennis balls for the coming year = 10,000 units
Carrying (holding) costs per case = $10
Cost of placing orders with the manufacturer = $45 per order
Economic Order Quantity (EOQ) = square root of (2 * Annual Demand/Sales * Ordering cost)/Carrying cost per case
= square root of (2 * 10,000 * $45)/$10
= square root of 90,000
= 300 tennis balls
This implies that the distributor will place about 33 orders in the coming year. With each order, the quantity placed is 300 units. This is the economic order quantity that will minimize its inventory cost for the year.
So, basically ..you just multiply
9*9*9*9
6561
