Answer:
B. c= -c+2
Step-by-step explanation:
A. ...................
It has infinitely many solutions as the equation is correct for any value of c.
B. ...................
- c= -c+2
- c+c= 2
- 2c = 2
- c = 2/2
- c= 1
It has one solution only
C. ...................
- c+2=c-2
- c-c= -2 - 2
- 0 = -4
It has no solution as this equation is incorrect
D. ...................
It has no solution as this equation is incorrect
Answer:
Matrix multiplication is not conmutative
Step-by-step explanation:
The matrix multiplication can be performed if the number of columns of the first matrix is equal to the number of rows of the second matrix
Let A with dimension mxn and B with dimension nxp represent two matrix
The multiplication of A by B is a matrix C with dimension mxp, but the multiplication of B by A is can't be calculated because the number of columns of B is not the number of rows of A. Therefore, you can notice that is not conmutative in general.
But even if the multiplication of AB and BA is defined (For example if A and B are squared matrix of 2x2) the multiplication is not necessary conmutative.
The matrix multiplication result is a matrix which entries are given by dot product of the corresponding row of the first matrix and the corresponding column of the second matrix:
![A=\left[\begin{array}{ccc}a11&a12\\a21&a22\end{array}\right]\\B= \left[\begin{array}{ccc}b11&b12\\b21&b22\end{array}\right]\\AB = \left[\begin{array}{ccc}a11b11+a12b21&a11b12+a12b22\\a21b11+a22b21&a21b12+a22b22\end{array}\right]\\\\BA=\left[\begin{array}{ccc}b11a11+b12a21&b11a12+b12a22\\b21a11+b22ba21&b21a12+b22a22\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da11%26a12%5C%5Ca21%26a22%5Cend%7Barray%7D%5Cright%5D%5C%5CB%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Db11%26b12%5C%5Cb21%26b22%5Cend%7Barray%7D%5Cright%5D%5C%5CAB%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da11b11%2Ba12b21%26a11b12%2Ba12b22%5C%5Ca21b11%2Ba22b21%26a21b12%2Ba22b22%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5CBA%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Db11a11%2Bb12a21%26b11a12%2Bb12a22%5C%5Cb21a11%2Bb22ba21%26b21a12%2Bb22a22%5Cend%7Barray%7D%5Cright%5D)
Notice that in general, the result is not the same. It could be the same for very specific values of the elements of each matrix.
Answer:
1.838181818181818
Step-by-step explanation:
5.4d + 0.1d = 0.66 + 9.45
5.5d = 10.11
d = 10.11 / 5.5
d = 1.838181818181818
It's linear
If you evaluate x when it's 0 you'll get the cut in y, that means the function will pass on (0,7)
The formula for linear functions is y=mx +b
In this case b is 7
M=7-5/0+1
M=2
Now you just write the function down, it would be
F(x) =2x + 7
61.23 square inches of metal is needed to create a cylindrical can.
Solution:
Diameter of the base = 3 in
Radius of the base = 3 ÷ 2 = 1.5 in
Height of the cylinder = 5 in
The value of π = 3.14
<u>To find the surface area of the cylinder:</u>
Surface area of the cylinder = 
= 2 × 3.14 × (1.5)² + 2 × 3.14 × 1.5 × 5
= 14.13 + 47.1
Surface area of the cylinder = 61.23 sq. in
Hence 61.23 square inches of metal is needed to create a cylindrical can.