Answer: -13, -15
Step-by-step explanation:
If x is the smallest integer, then:
x + (x + 1) + (x + 2) = x - 27
3x + 3 = x - 27
2x = -30
x = -15
Integers: -15, -14, -13
First, let me show you some notation.
To show a matrix is an inverse of another matrix, we write

-1 is not an exponent. It just shows that a matrix is an inverse of another matrix.
For a 2x2 matrix, we can get the inverse by first making b and c negatives and swap the positions of a and d.
Then multiply each entry in the matrix by 1 divided by the determinant.
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]^{-1} = \frac{1}{ad - bc}\left[\begin{array}{ccc}d&{-b}\\{-c}&a\end{array}\right] = \\ \\ \\ \left[\begin{array}{ccc}d(\frac{1}{ad-bc})&{-b}(\frac{1}{ad-bc}) \\ {-c}(\frac{1}{ad-bc}) &a(\frac{1}{ad-bc}) \end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%5E%7B-1%7D%20%3D%20%0A%20%20%5Cfrac%7B1%7D%7Bad%20-%20bc%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dd%26%7B-b%7D%5C%5C%7B-c%7D%26a%5Cend%7Barray%7D%5Cright%5D%20%3D%20%20%5C%5C%20%20%5C%5C%20%5C%5C%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dd%28%5Cfrac%7B1%7D%7Bad-bc%7D%29%26%7B-b%7D%28%5Cfrac%7B1%7D%7Bad-bc%7D%29%20%5C%5C%20%7B-c%7D%28%5Cfrac%7B1%7D%7Bad-bc%7D%29%20%26a%28%5Cfrac%7B1%7D%7Bad-bc%7D%29%20%5Cend%7Barray%7D%5Cright%5D)
I hope this helped!
Answer:
= 
Step-by-step explanation:
To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3
/2]
Proof -
We know that,
Average value of f in the interval [a, b] is -
= 
Now,
Here a = 0, b =
, f(x) = 
Now,
= 
= 
= 
= ![{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ]](https://tex.z-dn.net/?f=%7B%5Cfrac%7B10%20%7D%7B3%5Cpi%20%7D%7D%5B%5C%20%7Btan%28%7B%5Cfrac%7Bx%7D%7B6%7D%20%7D%29%20%7D%7C%5E%7B%5Cfrac%7B3%5Cpi%20%7D%7B2%7D%20%7D_0%20%5C%2C%20%5D)
= ![{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ]](https://tex.z-dn.net/?f=%7B%5Cfrac%7B10%20%7D%7B3%5Cpi%20%7D%7D%5B%5C%20%7Btan%28%7B%5Cfrac%7Bx%7D%7B6%7D%20%7D%29%20-%20tan%28%7B0%29%20%7D%20%5C%2C%20%5D)
= ![{\frac{10 }{3\pi }}[ {1 - 0 } ]](https://tex.z-dn.net/?f=%7B%5Cfrac%7B10%20%7D%7B3%5Cpi%20%7D%7D%5B%20%7B1%20-%200%20%7D%20%20%5D)
= 
⇒
= 
Answer:
B
Step-by-step explanation:
MV is half of QM
Answer:
Harry needs to read 199 more pages
Step-by-step explanation:
2/3 x 597 = 398
597 - 398 = 199