Y’’(x)= 6x + 1
y’(x)= 3x^2 + x + 2
y(x)= x^3 + 1/2x^2 + 2x + 5
Answer:
27 and 23
Step-by-step explanation:
We can solve this problem as a system of equations. X is the first number and Y is the second number.
The first equation is x+y = 50 and the second equation is x-y=4
Now we solve the system, using elimination method:
x+y=50
x-y=4
2x = 54
x = 54/2
x = 27
And from any of the equations we can find Y
27 + y = 50
y = 50 - 27
y = 23
Answer: A (-2, 1)
see image explanation attached
5:3. Simply by the common factor which is 6. 30 divided by 6 is five. 18 divided by 6 is 3. Therefore the simplest form is 5:3
The total number of ways by words are formed is 35 ways.
According to the statement
We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.
And we have to find the possible ways.
So, The given words are:
TEXAS and MEXICO
Here X = 2 and E = 2 and all other words are one time used words.
We can find possible ways by use of combination and permutation.
So,
Total number of ways = ![3C_{1} ^{5} + 2C_{2} ^{5}](https://tex.z-dn.net/?f=3C_%7B1%7D%20%5E%7B5%7D%20%2B%202C_%7B2%7D%20%5E%7B5%7D)
here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.
So,
Total number of ways = ![3C_{1} ^{5} + 2C_{2} ^{5}](https://tex.z-dn.net/?f=3C_%7B1%7D%20%5E%7B5%7D%20%2B%202C_%7B2%7D%20%5E%7B5%7D)
Total number of ways = ![3(\frac{5!}{1!} ) + 2(\frac{5!}{2!*3!} )](https://tex.z-dn.net/?f=3%28%5Cfrac%7B5%21%7D%7B1%21%7D%20%29%20%2B%202%28%5Cfrac%7B5%21%7D%7B2%21%2A3%21%7D%20%29)
Total number of ways = ![3(5) + 2(10)](https://tex.z-dn.net/?f=3%285%29%20%2B%202%2810%29)
Total number of ways = 15 + 20
Total number of ways = 35.
So, The total number of ways by letters are formed is 35 ways.
Learn more about combination and permutation here
brainly.com/question/11732255
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