Answer:
Option C
Step-by-step explanation:
We are given two matrices A and B and we have to calculate the value of the expression -4A + 8B. Each element of matrix A will be multiplied by -4 and each element of matrix B will be multiplied by 8. The corresponding elements of the resulting matrices will be added.
![-4A+8B=-4\times\left[\begin{array}{ccc}-4&-4&1\\1&4&7\\2&3&3\end{array}\right] +8\times\left[\begin{array}{ccc}2&9&-9\\8&8&-2\\4&10&1\end{array}\right] \\\\\\ -4A+8B=\left[\begin{array}{ccc}16&16&-4\\-4&-16&-28\\-8&-12&-12\end{array}\right] +\left[\begin{array}{ccc}16&72&-72\\64&64&-16\\32&80&8\end{array}\right]\\\\ \\ -4A+8B=\left[\begin{array}{ccc}32&88&-76\\60&48&-44\\24&68&-4\end{array}\right]](https://tex.z-dn.net/?f=-4A%2B8B%3D-4%5Ctimes%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%26-4%261%5C%5C1%264%267%5C%5C2%263%263%5Cend%7Barray%7D%5Cright%5D%20%2B8%5Ctimes%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%269%26-9%5C%5C8%268%26-2%5C%5C4%2610%261%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%20-4A%2B8B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D16%2616%26-4%5C%5C-4%26-16%26-28%5C%5C-8%26-12%26-12%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D16%2672%26-72%5C%5C64%2664%26-16%5C%5C32%2680%268%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%20%5C%5C%20-4A%2B8B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D32%2688%26-76%5C%5C60%2648%26-44%5C%5C24%2668%26-4%5Cend%7Barray%7D%5Cright%5D)
Therefore, option C gives the correct answer.
Answer:
>
Step-by-step explanation:
First find the slope of the line = (y2 - y1) / (x2 - x1) where the 2 points are (x1, y1 and (x2, t2).
Then substitute the values of the slope (m) and one of the points into the point-slope formula
y - y1 = m(x - x1)
250 books in total. 15 times 10, plus the 100 on the shelves.
Answer:
Step-by-step explanation:
= 
2x = 15
x = 7.5
