They are called identities because:
w-x = 0
w = x (carry x to the other side) is the same as x = w
in the other case:
wx-x = w / divide by w on both side
x -x = 0
x = x (carry x to the other side)
In both cases the equations are the same.
Answer:
The answer in each numeral is:
- <u>f(4) = 28</u>
- <u>f(10) = -19</u>
- <u>f(-5) = -33</u>
- <u>f(9) = -9</u>
Step-by-step explanation:
To obtain the result in each case, you must replace the variable (n) by the value that appears in the second case, I'll explain it with the first exercise:
- 1. f(n) = 5n + 8
- f(4) = ?
As you can see, in the second doesn't appear f(n), but f(4), that means you must replace the "n" in the equation by 4, if we do this, we obtain:
- 1. f(4) = 5*(4) + 8
- f(4) = 20 + 8
- <u>f(4) = 28</u>
The first answer is 28, now we'll continue with the next exercises:
- 2. f(n) = -2n + 1
- f(10) = -2*(10) + 1
- f(10) = -20 + 1
- <u>f(10) = -19</u>
- 3. f(n) = 6n - 3
- f(-5) = 6*(-5) - 3
- f(-5) = -30 - 3
- <u>f(-5) = -33</u>
- 4. f(n) = -n
- <u>f(9) = -9</u>
In this form, <u><em>you can prove the answers are: 28, -19, -33, and -9 respectively</em></u>.
We get 1.45 dollars per pound when we convert 3.2 Euros per kilogram to dollar per pound.
According to the question,
We have the following information:
3.2 Euros per kilogram
We need to convert its units into dollars per pounds.
We know that 1 Euro is approximately equal to 1 US dollar and 1 kilogram of weight is equal to 2.205 pounds.
(Note that there are various conversions from Euro to dollars which have 1 Euro equal to 1.00755 and many other values. In this case, we have rounded it off to 1 to avoid any confusion.)
(We know that per means the unit given is in divide.)
So, we have:
(3.2*1)/(1*2.205)
3.2/2.205
1.45 dollar per pounds
Hence, the conversion to dollars per pounds is 1.45 dollar per ponds from Euros per kilogram.
To know more about dollars here
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Answer:
Dependent.
Step-by-step explanation:
You did not return the name into the hat, so there is technically a "higher" probability to obtain the next name.
For example, if there were 5 names inside the hat, each one technically would have a 20% chance of obtaining a name.
If you did not return the name into the hat, there would only be 4 names left, which means that it would increase to a 25% chance of obtaining a name that is still inside the name.
The chance of obtaining the other name's chance, therefore, is dependent on the first one being taken out.
Answer:
-3 -2.5 -1 2 5
Step-by-step explanation:
In order to do this you can look on a number line or you could look at the numbers carefully and the biggest number with a minus is what you start with and end it with a positive number.
