Find the value of each variable for the right triangles. Make sure all answers are in reduced radical form. Show your work.
1 answer:
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Answer:
C. If you triple the x-coordinate and then subtract 4, you get the y-coordinate.
Step-by-step explanation:
We are given the graph of the equation y = 3x -4 as shown below.
Substituting x =3 in the equation gives us,
y = 3x - 4
i.e. y = 3 × 3 - 4
i.e. y = 9 - 4
i.e. y = 5
Thus, we get the point ( x,y ) = ( 3,5 ).
Here, x = 3 < 5 = y.
So, option A is not correct.
Also for ( 3,5 ), we have y = 5 = 3 + 2 = x + 2 i.e. y is not 3 less than x.
This shows that option B is also not correct.
If we put x = 0 in the equation, we get y = 3x -4 i.e y = -4.
Thus, both x and y co-ordinate do not have the same sign.
So, option D is wrong.
Hence, option C is correct i.e. we get the y-coordinate, when we triple the x-coordinate and then subtract 4.
Answer:
For many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.
Step-by-step explanation:
1/1000 chance of winning.
This means that there is an 1/1000 probability of you earning $500.
1 - 1/1000 = 999/1000 chance of losing.
In this case, you earn nothing.
What is your average payoff from many tickets
Your average payoff from a ticket is 0.5. So for many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.