We can solve this problem by seeing at which part both of the parts of the graphs of the function are discontinued. Both of the parts of the graph of the function are discontinued at -2, so we will have to find a function that has a value that is undefined for x = -2. We can do this using the denominator of the fraction that's in each of the functions. The function where x = -2 will cause it to be undefined is the third one, so the answer to this question is C., f (x) = $\frac{1}{x+2}$ +5.

4 0

4 years ago

Which is the equation of a line perpendicular to the line with the equation:<br>y = 1/4x + 2

Wittaler [7]

Answer:

4x + y = k

Step-by-step explanation:

=> 4y = x + 8

=> x - 4y = -8

Slope = 1/4

The other line's slope = -4

4x + y = k is the answer.

4 0

3 years ago

Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o

loris [4]

Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is 60 inches .

The problem says that the new design has length 3x inches longer and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design which is 36 inches .

Thus new length of rug is ( 3x + 36 ) inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is ( x + 60 ) inches .

Area of rectangle is Length * Width

Area of new rug is ( 3x + 36 ) * ( x + 60 )

We distribute the terms using FOIL method .

( 3x + 36 ) *( x + 60 ) = 3x ( x + 60 ) + 36 ( x + 60 )

= 3x² + 3x * 60 + 36 x + 36 * 60

= 3x² + 180 x + 36 x + 2160

Combining like terms , 3x² + 216 x + 2160

Thus the area of the rug with the new dimensions is

( 3x + 36) ( x + 60 ) = 3x² + 216 x + 2160 .

7 0

3 years ago

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