Answer:
Y=2/3x+1
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Yes. The given function has the form y = mx + b, which is that of a linear function. Here the slope, m, is 0.860, and the y-intercept is 3.302.
Answer:
Entries of I^k are are also identity elements.
Step-by-step explanation:
a) For the 2×2 identity matrix I, show that I² =I
![I^{2}=\left[\begin{array}{cc}1&0\\0&1\end{array}\right] \times \left[\begin{array}{cc}1&0\\0&1\end{array}\right] \\\\=\left[\begin{array}{cc}1\times 1+0\times 0&1\times 0+0\times 1\\0\times 1+1\times 0&0\times 0+1\times1\end{array}\right] \\\\=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]](https://tex.z-dn.net/?f=I%5E%7B2%7D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%20%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%5Ctimes%201%2B0%5Ctimes%200%261%5Ctimes%200%2B0%5Ctimes%201%5C%5C0%5Ctimes%201%2B1%5Ctimes%200%260%5Ctimes%200%2B1%5Ctimes1%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D)
Hence proved I² =I
b) For the n×n identity matrix I, show that I² =I
n×n identity matrix is as shown in figure
Elements of identity matrix are

As square of 1 is equal to 1 so for n×n identity matrix I, I² =I
(c) what do you think the enteries of Ik are?
As mentioned above

Any power of 1 is equal to 1 so kth power of 1 is also 1. According to this Ik=I
Answer:
8
Step-by-step explanation:
41-9=32
32/4=8
Answer:
The bag contains $5.14
Step-by-step explanation:
18% of 50 = (.18)(50) = 9 pennies
40% of 50 = (.40)(50) = 20 dimes
2 more nickels than pennies = 9 + 2 = 11 nickels
40 coins so far, so 50 - 40 = 10 quarters
Total value:
9 x ($0.01) = $0.09 for pennies
20 x ($0.10) = $2.00 for dimes
11 x ($0.05) = $0.55 for nickels
10 x ($0.25) = $2.50 for quarters
Grand total value = $5.14