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vitfil [10]
3 years ago
9

What is the midpoint of the x-intercepts of f(x) = (x – 2)(x – 4)?

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0
The x-intercepts are readily identified on the graph:  (2,0) and (4,0).  The midpoint of a line connecting those 2 points would be (3,0).
Nutka1998 [239]3 years ago
6 0

Answer:

The correct option is D.

Step-by-step explanation:

The given function is

f(x)=(x-2)(x-4)

From the given graph it is clear that x-intercepts of the graph are (2,0) and (4,0).

The midpoint of x-intercepts is

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Midpoint=(\frac{2+4}{2},\frac{0+0}{2})

Midpoint=(\frac{6}{2},\frac{0}{2})

Midpoint=(3,0)

The midpoint of x-intercepts is (3,0). Therefore the correct option is D.

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