Answer:
(-4, -2)
Step-by-step explanation:
To find if a point is a solution (or verifies) an inequation (or an equation), you simply have to enter the given values in it and see if it's true.
Let's try with all the 4 given choices:
(-4, -2)
y + x < -5
-4 - 2 < -5
-6 < -5 TRUE
(-3, -2)
y + x < -5
-3 - 2 < -5
-5 < -5 FALSE
(-2, -3)
-2 - 3 < -5
-5 < -5 FALSE
(-1, -3)
-1 - 3 < -5
-4 < -5 FALSE
B. The product of two irrational numbers if rational
Example: The square root of 2 times the square root of 3, is the square root of 6, which is still irrational.
Answer:
-$13.5
Step-by-step explanation:
Let x be a random variable of a count of player gain.
- We are told that if the die shows 3, the player wins $45.
- there is a charge of $9 to play the game
If he wins, he gains; 45 - 9 = $36
If he looses, he has a net gain which is a loss = -$9
Thus, the x-values are; (36, -9)
Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6
Thus;
E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)
E(X) = (1/6)(36 - (5 × 9))
E(X) = (1/6)(36 - 45)
E(X) = -9/6 = -3/2
E(X) = -3/2
This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5
<h2>Greetings!</h2>
Answer:
One number is 
and the other number is 
Step-by-step explanation:
Let x be the smaller number and y be the bigger number.
x = x
y = 5x
6x + 3y = 3
6x + (3 * 5x) = 3
6x + 15x = 3
(÷3)
2x + 5x = 1
7x = 1
x =
6x + 3y = 3
6() + 3y = 3
+ 3y = 3
3y = 3 -
3y = 
Divide both sides by 3 to get 1y:
y =
So one number is and the other number is
<h2>Hope this helps!</h2>
Answer:
3 7/10 = 37/10
Step-by-step explanation:
