ANSWER

EXPLANATION
The boundary line passes through (-2,2) and (0,-2).
The slope of this line is


The y-intercept is , c=-2.
The slope-intercept form of this line is given by;

We substitute values to obtain;

Since the lower half-plane is shaded the required inequality is

Answer: When you combine like terms in a algebraic expression, you do not add the exponents! When you combine like terms in an equation, such as a^2 and 4a^2, you only combine the numbers, not the exponents. The exponent attached to the number stays the same. a^2 and 4a^2 would be 5a^2.
Yes
factor out the 2z^2 in each term
(2z^2)(z^2-5z+4)
factor some more
z^2-5z+4
find what 2 numbers multiply to get 4 and add to get -5
the numbers are -1 and -4
(z-1)(z-4)
the factored form is
(2z^2)(z-1)(z-4)
Answer:

Step-by-step explanation:
we are given a quadratic function

we want to figure out the minimum value of the function
to do so we need to figure out the minimum value of x in the case we can consider the following formula:

the given function is in the standard form i.e

so we acquire:
thus substitute:

simplify multiplication:

simply division:

plug in the value of minimum x to the given function:

simplify square:

simplify multiplication:

simplify:

hence,
the minimum value of the function is -155