3 years ago

Determine the intercepts of the line. y=-9x-14y

Mathematics

2 answers:

kondaur [170]3 years ago

8 0

Answer:

x-intercept (-14/9, 0), y-intercept (0, -14)

Step-by-step explanation:

0=-9x-14

9x=-14

x=-14/9

y=-9(0)-14

y=-14

MissTica3 years ago

3 0

Step-by-step explanation:

1.55 I was help to you..........

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4 years ago

What are the coordinates of the hole in the graph of the function f(x) ?

Vinvika [58]

ANSWER

$(3, \infty )$

EXPLANATION

The given function is

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$

When we plug in x=3 into this function, we obtain,

$f(3) = \frac{0}{0}$

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

$f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}$

This implies that,

$f(x) = x + 3$

The graph this function is a straight line that is continuous everywhere.

To graph

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$
we draw the graph of

$f(x) = x + 3$
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

$(3, \infty )$