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ozzi
3 years ago
7

Find the remainder when f(x) is divided by (x - k). f(x) = 3x3 - 4x2 - 3x + 14; k= 3

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0
Let's use synth. div.  It's so much faster in cases such as this one.

Use k = 3 as your divisor.  Then:

       ________________
  3  /   3   -4   -3     14
                 9  15      36
      -------------------------
          3     5   12     50  <= the remainder is 50.
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Answer:

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Angle B = 120 degrees; 180 - 60 = 120

#2)

Angle A = 65 degrees; 180 - 115 = 65

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4 0
3 years ago
I need help and a explanation please
Zanzabum

Answer:

$6.48

Step-by-step explanation:

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3 years ago
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3 years ago
Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9). What is the value of ef/lm.
Elina [12.6K]

Answer:

EF / LM = 1 / 4

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.

Dilation is the enlargement or reduction in the size of a figure. If a point A(x, y) is dilated by a scale factor of k, the new point is at A'(kx, ky).

Translation is the movement of a point right, left, up or down. If a point A(x, y) is translated a units left and b units down, the new point is at A'(x - a, y - b).

Translation preserves the size and shape of an object. Dilation preserves the shape but not the size.

Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9).

CDEF was first dilated by a scale factor of 4 to get (4x,4y) before it was translated by (x-4,y-9). Since dilation changes the size of the figure, hence JKLM would be 4 times the size of CDEF. Therefore:

LM / EF = 4

EF / LM = 1 / 4

6 0
3 years ago
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