Answer:
Step-by-step explanation:
We have to find a cubic function of x whose zeros are at x = √7, x = -√7 and at x = -4.
Therefore, the factors of the function will be (x - √7), (x + √7), and (x + 4)
Hence, the equation will be y = (x - √7) (x + √7) (x + 4)
⇒ 
⇒ (Answer)
Answer:
We are working with 2 vertical angles which are ALWAYS equal.
Therefore, 2 + 3x = 62
3x = 60
Therefore, x = 20
Step-by-step explanation:
292in^3
3x6x10=180 because I’ve split the shape in half
7x4x4=112
180+112=292
Answer:
The lines are
i) y=-x+6
ii) y=2x-3
The solution of the system of equations is found by equalizing the 2 equations:
-x+6=2x-3
-2x-x=-6-3
-3x=-9
x=-9/(-3)=3
substitute x=3 in either i) or ii):
i) y=-3+6=3
ii) y=2(3)-3=6-3=3
(the result is the same, so checking one is enough)
This means that the point (3, 3) is a point which is in both lines, so a solution to the system.
In graphs, this means that the lines intersect at (3, 3) ONLY
Answer: The graph where the lines intersect at (3, 3)
Answer:
The pay off matrix (for numbers 1-9) is shown in the attached table.
The value of the game (expected winning per play) = $9.57
The strategy for player II is to call even numbers all the time, which guarantees a winning in every game!
The strategy for player I is to call odd numbers all the time, in case player II calls odd numbers (good luck!)
Step-by-step explanation:
The pay off matrix (for numbers 1-9) is shown in the attached table.
The payoff for player II (even wins) is 775 for 9*9 = 81 possible scenarios.
Thus the value of the game is 775/81 = $9.57 (expected winnings per play)
The strategy for player II is to call even numbers all the time, which guarantees a winning in every game!
The strategy for player I is to call odd numbers all the time, in case player II calls odd numbers (good luck!)
