Which inequality is graphed on the coordinate plane? A.
y -2x − 1
C.
y ≤ -2x − 1
D.
y ≥ -2x − 1

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step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82 .the total height of the building is another 123 meters above the 86th floor.

leave feedback if u need : )

we are given expression: and .

in order to find it's greatest common factor, let us break it into smaller parts.

let us find greatest common factor of 54 and 27 first.

54 = 27 × 2

27 = 27 × 1

now, let us find the greatest common factor of m and m^3.

now, let us find the greatest common factor of n^4 and n^2.

therefore, following expressions are part of the greatest common factor of 54mn^4 and 27m^3n^2.