X=-b/2a is the formula for finding the axis of symmetry
So x= -30/2(5)
X=-30/10
X=-3
Because the axis of symmetry is -3, we know where to place our line, and we also know that the parabola is open downwards, which means that the vertex will be maximum. To find the vertex, plug in your values with the axis of symmetry as a midway point. Plug that in for x and so you should have the following:
F(x)
Y(f(x) and y variables are interchangeable) =5(-3)^2-30(-3)+49
Solve for y(f(x))
5(-3)^2-30(-3)+49
(-3)^2=3^2
3^2*5+30*3+49
Multiply
3^2*5+90+49
Add numbers
3^2*5+139
9*5=45
45+139=184
Y=184
So, your vertex would be
(-3,184) and it would be maximum. From there you can plug in the rest of your table of values.
Use PEMDAS, which stands for Parenthesis, Exponents, Multiply, Divide, Add, and Subtract.
First multiply, so 86 x 450 = 38700, and then divide 47 divided by 10, which is 4.7, and then add 4.7 plus 38700, which would give you 38704.7
I hope this helps, if any doubt leave a comment
1/4 the probability of the 1st coin is 1/2 for landing on tails and for the second coin, the probability is 1/2 for it not to land on tails so u do 1/2* 1/2 and u get 1/4
