Answer:
X=7.5
Step-by-step explanation:
Hello!
This is a question about multiplying to get a polynomial answer.
Here we can use two strategies, which will get you the same strategy.
One is using a Punnett Square, and the other would be FOILing.
I personally like Punnett Squares, but I will use FOILing for the sake of being online.
FOIL stands for First, Outside, Inside, Last, which describes how the terms should be multiplied.
Let's multiply the first terms.
(-d + e)(4e + d)
![-4de](https://tex.z-dn.net/?f=-4de)
The outside terms.
(-d + e)(4e + d)
![-d^2](https://tex.z-dn.net/?f=-d%5E2)
The inside terms.
(-d + e)(4e + d)
![4e^2](https://tex.z-dn.net/?f=4e%5E2)
The last terms.
(-d + e)(4e + d)
![de](https://tex.z-dn.net/?f=de)
Now you just add them together to find the polynomial.
![-d^2+4e^2-4de+de](https://tex.z-dn.net/?f=-d%5E2%2B4e%5E2-4de%2Bde)
![-d^2+4e^2-3de](https://tex.z-dn.net/?f=-d%5E2%2B4e%5E2-3de)
There are three terms in the product, and the product is degree 2, since the highest degree of the equation (the highest power any term is raised to) is 2.
Hope this helps!
Answer:
The mean monthly salary of these 100 graduates is $2388.5
Step-by-step explanation:
First, lets make all of the salaries a set, so:
S = {S1,S2,S3,S4,S5}
where
S1 = {1001-1400}
S2 = {1401-1800}
S3 = {1801-2200}
S4 = {2201-2600}
S5 = {2601-3000}
Each element S1,S2,..,S5 will have it's own mean, that will be the upper range + lower range divided by 2.
So
M(S1) = (1400+1001)/2 = 2401/2 = 1200.5
M(S2) = (1401+1800)/2 = 3201/2 = 1600.5
M(S3) = (1801+2200)/2 = 4001/2 = 2000.5
M(S4) = (2201+2600)/2 = 4801/2 = 2400.5
M(S5) = (2601+3000)/2 = 5601/2 = 2800.5
To find the approximate mean, now we calculate a weigthed mean between M(S1),M(S2),...,M(S5)
So the mean will be
M = (M(S1)+11*M(S2)+14*M(S3)+38*M(S4)+36*M(S5))/100
M = 238850/100
M = 2388.5
So the mean monthly salary of these 100 graduates is $2388.5
Answer: There are 45 miles that she have to travel to get to the next down.
Step-by-step explanation:
Since we have given that
1 inch = 15 miles
If there are given 3 inches.
We need to find the number of miles she have to travel to get to travel to get to the next town.
So, it becomes,
![\dfrac{1}{15}=\dfrac{3}{x}\\\\x=15\times 3\\\\x=45\ miles](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B15%7D%3D%5Cdfrac%7B3%7D%7Bx%7D%5C%5C%5C%5Cx%3D15%5Ctimes%203%5C%5C%5C%5Cx%3D45%5C%20miles)
Hence, there are 45 miles that she have to travel to get to the next down.