Answer:
y=2/3x+4
Step-by-step explanation:
This is a problem of Permutations. We have 3 cases depending on the number of B's. Since no more than three B's can be used we can use either one, two or three B's at a time.
Case 1: Five A's and One B
Total number of letters = 6
Total number of words possible = 
Case 2: Five A's and Two B's
Total number of letters = 7
Total number of words possible = 
Case 3: Five A's and Three B's
Total number of letters = 8
Total number of words possible = 
Total number of possible words will be the sum of all three cases.
Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 6 + 21 + 56 = 83
40. Multiply each row in the first matrix by each column in the second matrix.
The answer would be C.
41. E. Matrix
42. D. Transformations
43. C. determinants
44. B. equal matrices
45. A. Zero matrix
Answer:
C
Step-by-step explanation:
Given f(x) then f(x + k) represents a horizontal translation of f(x)
• If k > 0 then shift left by k units
• If k < 0 then shift right by k units
Here the shift is 4 units to the left, thus
y = (x + 4)²
Given f(x) then f(x) + k represents a vertical translation of f(x)
• If k > 0 then shift up by k units
• If k < 0 then shift down by k units
Here the shift is 3 units down, thus
y = (x + 4)² - 3 → C
Answer:
The answer would be 9.4 units
Step-by-step explanation: