Open Question: Please help math urgent.?

interval notation is simple:
use round brackets for infinity and point that are not included (strictly greater or smaller)
use square bracket for points that are included (greater than or equal, less than or equal)
combine multiple intervals using union

x = -2 and x < 4
since -2 is included, and 4 is not we get
[-2,4)

x < -2 or x = 3
here -2 is not included but 3 is
(-infinity, -2)U[3,infinity)

-4 < a + 2 < 10
this is two inequalities, each should be solved separately
first we have:
-4or
a+2>-4
a>-4-2
a>-6
then we also have
a+2<10
a<10-2
a<8

so solution is
(-6,8)
because both -6 and 8 are not included.

last one is
x>=3
x>=6
to satisfy both, we use x>=6
which is
[6,infinity)

note that 6 was included (square bracket)


View the original article here

Open Question: What is the formula to find center coordinates of a square?

let's say the vertex is A(0, 0)
and the length of side is 4

other points would be
B(4, 0)
C(4, 4)
D(0, 4)

the diagnonals are
BD: (4, 0) (0, 4)
and
AC: (0, 0) (4, 4)

midpoint of BD (E)

xE = (4 + 0) / 2
xE = 2

yE = (0 + 4) / 2
yE = 2

E(2, 2)

Midpoint of AC (E)
also equals
E(2, 2)


View the original article here

Open Question: Potential zeros of polynomials?

Determine the maximum numbers of real zeros each polynomial can have. Then list the potential zeros.

1. 6x^4-x^2+2

2. -6x^3-x^2+x+10

Thanks!


View the original article here