Answer:
15/36
Step-by-step explanation:
One hack that I used is I looked at all of the options in the first row and added the number one less 6 times
I basically did
5+(5-1)+(5-2)+(5-3)+(5-4)
5+4+3+2+1
15
Answer:
B) 1.5
Step-by-step explanation:
We are given our function as

For finding concavity , firstly we will find second derivative



now, we can find derivative again




now, we can know second derivative is undefined when denominator =0
so, we set denominator =0
and then we can solve for x


now, we can draw a number line and locate x=-4
and then we can find sign of second derivative on each intervals
so,
Concave downward interval:

Answer:
In matrix form this can be represented as
= ![\left[\begin{array}{ccc}10\\1\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%5C%5C1%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The given equations are
-2y + 7z = 10
9x + 5y = 1
2x + z = -5
Which can be written as
0x+-2y + 7z = 10
9x + 5y+0z = 1
2x +0y+ z = -5
In matrix form this can be represented as
= ![\left[\begin{array}{ccc}10\\1\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%5C%5C1%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
When we multiply the above matrices we get the given set of equations.
In multiplying the matrices we check the no of columns of the first matrix and the number of rows of the second matrix. If they are equal ( as in this case they are 3) then the matrices can be multiplied .
The answer has the number of rows equal to the number of rows of the first matrix and the number of columns equal to the number of columns of the second matrix which is true in this case.