Answer:
no
Step-by-step explanation:
refer to picture for solution
Answer:
x= -4 and y= 27/6
Step-by-step explanation:
-(8x + 6y = -5) which converts to -8x -6y = 5
10x + 6y = -13
simplify from there
-8x + 10x = 2x ; -6y + 6y = 0 ; 5 - 13 = -8
soo, now you have
2x = -8
x = -4
then, plug in to find y
8(-4) + 6y = -5
-32 + 6y = -5 add 32 on both sides
6y = 27 divide both sides by 6
y= 27/6 or 4.5
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
Answer:
<em>Expected Payoff ⇒ $ 1.50 ; Type in 1.50</em>
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
<em>Thus, Solution ; Expected Payoff ⇒ $ 1.50</em>
