Answer:
x = 7
y = 8
Step-by-step explanation:
4y-4 = 28
4y = 32
y = 8
10x+65 = 135
10x = 70
x = 7
Answer:
0.8 cm
Step-by-step explanation:
I divided 0.6 by 3 and then multiplied by 4 because 0.6 is 3/4 of the portion and we need the other 1/4.
P = 3x + 2y
There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.
Point O is found in x = 0 ; y = 0 or (0,0)
Point A is found in x = 8 ; y = 0 or (8,0)
Point B is found in x = 6 ; y = 5 or (6,5)
Point C is found in x = 0 ; y = 8 or (0,8)
We will substitute x and y in the equation by its values per point.
Point A = 3(8) + 2(0) = 24 + 0 = 24
Point B = 3(6) + 2(5) = 18 + 10 = 28
Point C = 3(0) + 2(8) = 0 + 16 = 16
The maximum value of the function P = 3x+2y is 28 and its minimum value is 16.
It would probably be -6 -1
(a) |AB| = |A| |B| = -1 * 2 = -2.
<span>(b) |B^5| = |B|^5 = 2^5 = 32. </span>
<span>(c) Since A is 4 x 4, </span>
<span>|2A| = 2^4 * |A| = 16 * -1 = -16. </span>
<span>(d) Since determinants are invariant under transposition, </span>
<span>|A^t A| = |A^t| |A| = |A| |A| = (-1)(-1) = 1. </span>
<span>(e) |B^(-1) AB| = |B^(-1)| |A| |B| </span>
<span>.....................= (1/|B|) |A| |B| </span>
<span>.....................= |A| </span>
<span>.....................= -1. </span>
<span>I hope this helps!</span>
