Answer:
d)
Step-by-step explanation:
it does not begin at 0,0
it is beginning at the 1
Given:
The matrix statements in the options.
To find:
The answer choice that show the commutative property does not hold for matrix multiplication.
Solution:
We known that matrix multiplication is not commutative. if A and B are two non-zero matrices, then

Let us assume,

According to the above property of the matrix, we get

Therefore, the correct option is B.
Answer:
x = 14
y = 22
Step-by-step explanation:
y = x + 8
4x - 2y = -12
Solve
_____________
Since we see that the first equation has y alone, we can substitute it into the values of y in the second equation.
4x - 2(x + 8) = -12
Distribute :
4x - (2(x) + 2(8)) = -12
4x - 2x +16 = -12
Combine like terms :
2x + 16 = -12
Subtract 16 from both sides :
2x = -28
Divide 2 from both sides to get x alone :
x = 14
Now that we know what x is, substitute it in the first equation to get y :
y = (14) + 8
y = 22
Answer: B. 1975
Step-by-step explanation:
Given: The model of population of a certain city between the years 1965 and 1995 by the radical function
![P(x)=75000\sqrt[3]{x-1940}](https://tex.z-dn.net/?f=P%28x%29%3D75000%5Csqrt%5B3%5D%7Bx-1940%7D)
To find the x year at which population is 245,000, put this in equation we get
![245000=75000\sqrt[3]{x-1940}\\\\\Rightarrow\frac{245000}{17000}=\sqrt[3]{x-1940}\\\\\Rightarrow3.266=\sqrt[3]{x-1940}\\\\\Rightarrow\ x-1940=(3.266)^3..........\text{[by taking cube on both sides]}\\\\\Rightarrow\ x-1940=34.8587\\\\\Rightarrow\ x=1940+34.8587\\\\\Rightarrow\ x=1974.8587\approx1975](https://tex.z-dn.net/?f=245000%3D75000%5Csqrt%5B3%5D%7Bx-1940%7D%5C%5C%5C%5C%5CRightarrow%5Cfrac%7B245000%7D%7B17000%7D%3D%5Csqrt%5B3%5D%7Bx-1940%7D%5C%5C%5C%5C%5CRightarrow3.266%3D%5Csqrt%5B3%5D%7Bx-1940%7D%5C%5C%5C%5C%5CRightarrow%5C%20x-1940%3D%283.266%29%5E3..........%5Ctext%7B%5Bby%20taking%20cube%20on%20both%20sides%5D%7D%5C%5C%5C%5C%5CRightarrow%5C%20x-1940%3D34.8587%5C%5C%5C%5C%5CRightarrow%5C%20x%3D1940%2B34.8587%5C%5C%5C%5C%5CRightarrow%5C%20x%3D1974.8587%5Capprox1975)
Hence, at year 1975 the population of the city is 245,000.
Sixteen. For the fraction 6/10 which is equivalent to 3/5