9514 1404 393
Answer:
x - 4
Step-by-step explanation:
The expression simplifies to ...
For x ≥ 4, the argument of the absolute value function is non-negative, so it remains unchanged. The simplified expression is ...
x - 4 . . . . for x ≥ 4
Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first
1 answer:
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Answer:
(0, -5), (4, -2), (-16, -17)
Step-by-step explanation:
I attach your full question in the image below
The equation is
3x-4y-8=12
Which can be rewritten as
3x-4y =12 +8
3x-20 = 4y
y = (3/4)*x - 5
We need to check each individual case
(0,-5)
y = (3/4)*(0) - 5
y = -5
True
(4,-2)
y = (3/4)*(4) - 5
y = -2
True
(8,2)
y = (3/4)*(8) - 5
y = 1
False
(-16,-17)
y = (3/4)*(-16) - 5
y = -17
True
(-1,-8)
y = (3/4)*(-1) - 5
y = -23/4
False
(-40,-34)
y = (3/4)*(-40) - 5
y = -35
False
(0,-5) (4,-2) and (-16,-17) are the solutions
Answer:
The total numbers of possible combinations are 3430.
Step-by-step explanation:
Consider the provided information.
A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is four digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face.
Here, for the first digit we have 10 choices.
For the second digit we have 7 choices, as the digit can't be the same nor adjacent to the first digit.
For the third digit we have 7 choices, as the digit can't be the same nor adjacent to the second digit.
For the fourth digit we have 7 choices, as the digit can't be the same nor adjacent to the third digit.
So the number of choices are:
Hence, the total numbers of possible combinations are 3430.