There are six digits to choose from, but you're only taking three at a time, so the number of such numbers is
The first and last digits can only be even if the number takes the one of the forms "2 _ 8" or "8 _ 2". The middle number can be any of the remaining four, so there is a total of eight such numbers.
This means the probability of getting a number beginning and ending with an even digits is
.
Answer: 3p² + q² - 5pq - 10 < 0
<u>Step-by-step explanation:</u>
p² - q² + 2pq < -2p² - 2q² + 7pq + 10
since you didn't specify what to solve for, move everything from the right side to the left side of the inequality symbol using inverse operations.
(p² + 2p²) + (- q² + 2q²) + (2pq - 7pq) + (- 10) < 0
3p² + q² + -5pq + -10 < 0
3p² + q² - 5pq - 10 < 0
Discrete means it ends so for 1 sheet yes it is discrete for endless sheets it would not be
C. Coordinates of D' (-6,3)
<u>Step-by-step explanation:</u>
When any figure is rotated 180° in the counterclockwise direction, then the coordinates of the vertices is changed into its opposite sign.
(x, y) → (-x, -y)
The coordinates of the vertices of quadrilateral ABCD is changed when it is rotated 180 degrees counterclockwise about the origin as,
A (7,-7) → A'(-7,7)
B (4,-10) → B' (-4,10)
C (1.5, -2.5) → C' (-1.5, 2.5)
D (6, -3) → D'(-6,3)
So the coordinates of D' will be (-6,3)
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Answer:
A or B
Step-by-step explanation:
A function is output = constant •/+/-/÷ input. In any function, the amount of one quantity is dependent on the amount of another.