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taurus [48]
1 year ago
9

Determine the vertical asymptotes for the reciprocal of this function f(x)=x^2 + 3x -28

Mathematics
1 answer:
Gennadij [26K]1 year ago
7 0

Answer:

x = -7 and x = 4.

Step-by-step explanation:

f(x) = x^2 + 3x - 28

= (x + 7)(x - 4).

The reciprocal of f(x) can be written as

1 / (x + 7)(x - 4).

When the denominator is zero we have vertical asymptotes

so they are x = -7 and x = 4.

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Answer:

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Right triangle ABC and its image, triangle A'B'C' are shown in the image attached.
AlladinOne [14]

Answer:

See explanation

Step-by-step explanation:

Triangle ABC ha vertices at: A(-3,6), B(0,-4) and (2,6).

Let us apply 90 degrees clockwise about the origin twice to obtain 180 degrees clockwise rotation.

We apply the 90 degrees clockwise rotation rule.

(x,y)\to (y,-x)

\implies A(-3,6)\to (6,3)

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We apply the 90 degrees clockwise rotation rule again on the resulting points:

\implies (6,3)\to A''(3,-6)

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\implies (6,-2)\to C''(-2,-6)

Let us now apply 90 degrees counterclockwise  rotation about the origin twice to obtain 180 degrees counterclockwise rotation.

We apply the 90 degrees counterclockwise rotation rule.

(x,y)\to (-y,x)

\implies A(-3,6)\to (-6,-3)

\implies B(0,4)\to (-4,0)

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7 0
3 years ago
Bentley was playing with 3 old dog toys and 6 new dog toys. If Bentley has 18 old dog toys how many new dog toys does he have?
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Step-by-step explanation:

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Sav [38]

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I hope this helps :D

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