Ax^2+bx+c=0
a=leading term
ok so if the leading term is positive then opens up and has a min
if leading term is negative then opens down and has a max
leading term is positive
1x^2+8x
has a max
to complete the square, move c aside take 1/2 of b and square it
b=8
8/2=4
4^2=16
now add that to both sides
x^2+8x+16+6=0+16
factor perfect square
(x+4)^2+6=16
subtract 6
(x+4)^2=10
subtract 10
(x+4)^2-10=0
vertex aka min or max is (h,k) when ou have
y=a(x-h)+k
h=-4
k=-10
C
Using the distributive property an equivalent expression would be 9z-54
Answer:
24x^2 - 244x + 460
Step-by-step explanation:
Hello!
This is a bit harder than problems you usually see, yet you solve it the same way: FOIL!
FOIL is my preference, so I will be using it to solve (4x - 10)(6x - 46)
FOIL stands for:
First
Outside/Outer
Inside/Inner
Last
This shows you the order in which you multiply the binomials! Let's do it:
First: 4x * 6x = 24x^2
Outside: 4x * -46 = -184x
Inside: -10 * 6x = -60x
Last: -10 * -46 = 460
24x^2 - 184x - 60x + 460
Now, we combine like terms to simplify it to the farthest:
24x^2 - 244x + 460
That's it! Hope I helped,
-Mary :)
