Answer:
x= -2 and y= 8
Step-by-step explanation:
8x+5y=24-------A
y=-4x---------B
Putting the value of y from B in A
8x+5(-4x)=24
8x +(-20x)= 24
8x-20x=24
-12x=24
x= -24/12
x=-2--------C y =-4(-2)=8
Answer:
Conjecture : 2xy / ( x + y ) ≤ √xy
Step-by-step explanation:
Harmonic mean of x and y = 2xy/( x + y )
<u>Formulate a conjecture about their relative sizes </u>
we will achieve this by computing harmonic and geometric means
Geometric mean = √xy
harmonic mean = 2xy/( x + y )
Conjecture : 2xy / ( x + y ) ≤ √xy
attached below is the proof
-4(2)+2
-8+2
-6
Hope it helps
The answer to this question is C I just worked it out on paper using a calculator
Answer:
5 cents
Step-by-step explanation:
So the roulette wheel would have a total of 38 numbers, which means 38 different possible cases. Since you are allowed to bet on 5 numbers, the chance to win this is 5 out of 38 and to lose this is 33 out of 38.
If you win, you get 1 + 6 = 7 dollar, and if you lose, you lose 1 dollar.
Therefore the expected amount out of this game is:
or 5 cents