The smallest root is -5. The other is 3.
You can get these by factoring. The easiest way to do so is by pulling out a 4 first and then using your normal factoring patterns.
Answer:
Each CD cost $20.50
Step-by-step explanation:
You would divide the cost of the DVDs by 4: 164÷4=41
Now the CDs are half the cost of the DVDs so you would divide 41 by 2: 41÷2=20.50
Your answer would be $20.50
Answer:
Step-by-step explanation:
We need to expand cos(a+b) using the cos addition formula.
We know that we also need to use Euler's formula for sin, which is:
(you can get this from a similar way of getting the first result, of simply just expanding and seeing the necessary result)
We can now substitute our cos's and sin's for e's
Now lets multiply out both of our terms, I'm using the exponent multiplication identity here ()
Now we can subtract these two terms.
This is starting to look a lot tidier, let's cancel the 2
Answer:
2160
Step-by-step explanation:
The correct answer is C. Mark’s method is correct because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.
Explanation:
To begin Mark should determine the rate of delivery (number of houses the carrier can deliver in 1 minute). This can be found by dividing the houses by the minutes (36 / 30 = 1.2 houses per minute). This means the 1.2 rate found by Mark is correct; also, in this case, it is important to clarify, the carrier will not deliver to 1.2 houses at the same time, but this is the delivery rate or number used to understand the relationship between the number of houses, and the time.
Moreover, you can use this rate, and multiply it by 7.5 and this will show you how many houses the carrier can deliver in this time (7.5 (minutes) x 1.2 (delivery rate) = 9 houses). Thus, the method is correct, and in it, 1.2 represents the unit rate, this is why even when it is not possible to deliver to 1.2 houses all the process is correct.