Review the table of values for function h(x). x h(x)
8.9 3.83
8.99 –1.19
8.999 4.73
9 undefined
9.001 –4.73
9.01 1.19
9.1 –3.83
Which statement correctly explains whether Limit of h (x) as x approaches 9 exists?

The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.
The limit does exist because h(x) is defined for all given values around x = 9, even though h(x) isn’t defined at x = 9.
The limit does not exist because h(x) is not defined at x = 9, and for a limit to exist, the function must be defined at x = 9.
The limit does exist because the values of h(x) to the right of x = 9 are all opposites of the values of h(x) to the left of x = 9.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

yes

step-by-step explanation:

they have to be opposite and reciprocal of eachother.

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.

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