Answer:
The sets of values that correctly completes the t-chart are:
7, -1, 7
Hence, option B is true.
Step-by-step explanation:
Given the equation
y = 2x² - 1
FOR x = -2
substitute x = -2 in the equation
y = 2x² - 1
y = 2(-2)² - 1
y = 8 - 1
y = 7
FOR x = 0
substitute x = 0 in the equation
y = 2x² - 1
y = 2(0)² - 1
y = -1
FOR x = 2
substitute x = 2 in the equation
y = 2x² - 1
y = 2(2)² - 1
y = 8 - 1
y = 7
Thus, the t-chart becomes:
x y
-2 7
0 -1
2 7
Thus, the sets of values that correctly completes the t-chart are:
7, -1, 7
Hence, option B is true.
The number "seven hundred and four thousand, six hundred and twenty" is written as 704,620 in numeric or standard form.<span> In converting a number expressed in words to numerals, it is important to write each digit in its proper place value.</span>
Answer with Step-by-step explanation:
We are given that two matrices A and B are square matrices of the same size.
We have to prove that
Tr(C(A+B)=C(Tr(A)+Tr(B))
Where C is constant
We know that tr A=Sum of diagonal elements of A
Therefore,
Tr(A)=Sum of diagonal elements of A
Tr(B)=Sum of diagonal elements of B
C(Tr(A))=
Sum of diagonal elements of A
C(Tr(B))= Sum of diagonal elements of B
Tr(C(A+B)=Sum of diagonal elements of (C(A+B))
Suppose ,A=![\left[\begin{array}{ccc}1&0\\1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C1%261%5Cend%7Barray%7D%5Cright%5D)
B=![\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%5C%5C1%261%5Cend%7Barray%7D%5Cright%5D)
Tr(A)=1+1=2
Tr(B)=1+1=2
C(Tr(A)+Tr(B))=C(2+2)=4C
A+B=![\left[\begin{array}{ccc}1&0\\1&1\end{array}\right]+\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C1%261%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%5C%5C1%261%5Cend%7Barray%7D%5Cright%5D)
A+B=![\left[\begin{array}{ccc}2&1\\2&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%261%5C%5C2%262%5Cend%7Barray%7D%5Cright%5D)
C(A+B)=![\left[\begin{array}{ccc}2C&C\\2C&2C\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2C%26C%5C%5C2C%262C%5Cend%7Barray%7D%5Cright%5D)
Tr(C(A+B))=2C+2C=4C
Hence, Tr(C(A+B)=C(Tr(A)+Tr(B))
Hence, proved.
Answer:
Step-by-step explanation:
x=2
y=3
z=4
2+7=9
3+21=24
12+4=16
4+3=7
2*3=6
Distance from her house to the school =5*the distance from her house to the library.
200 miles=5(40miles)
