(40 - x) represents A. the number of undamaged cards
Step-by-step explanation:
Step 1; Maria has a total of 40 cards out of which x number of cards are damaged so 40 - x cards are undamaged. The value of an undamaged card is 5 dollars whereas every damaged card has a value of 3 dollars.
Step 2; We need to determine what each term in equation 5(40−x)+3x represents. The equation will give us how much total value Maria's card collection has.
The first term 5 (40 - x) signifies the total value of the undamaged cards in the deck where (40 - x) equals the total number of undamaged cards.
The second term represents the total value of the undamaged cards.
So the second factor of the first term i.e (40 - x) represents the amount of undamaged cards in her collection.
The sample space has 36 possible pairs from 1,1 1,2 1,3 up to 6,5 and 6,6
(a). Three pairs add to 4 1,3 2,2 and 3,1 so P(4) = 3/36 = 1/12
(b). 6 pairs add to 7 so P(7) = 6/36 = 1/6
(c) 15 pairs add to less than 7 so P(<7) = 15/36 = 5/12
Answer:
Y-intercept
Step-by-step explanation:
Because they both meet
Answer:
D) very likely
Step-by-step explanation:
The possible outcomes are 1,2,3,4,5,6
Between means 2,3,4,5
A) certain it is not certain because we could get 1 or 6
B) unlikely we have a 4/6 change of getting our number rolled so it is not unlikely
C) impossible we have a 4/6 change of getting our number rolled so it is not impossible
D) very likely we have a 4/6 change of getting our number rolled so it is better than 50 % we will have one of our numbers rolled
Answer: The coordinates of the vertex are : (-1,-2)
Step-by-step explanation: To find the x coordinate, we use the formula:
Xv = -b/2a = -6/(2.3) = -6/6 = -1
Replacing x by -1, we write:
y = 3. (-1)^2 + 6. (-1) +1 = 3 - 6 + 1 = -2