How do I solve (|x-3|+5|x|) ?

Mathematics

1 answer:

11111nata11111 [884]3 years ago

6 0

Answer:

x≤0 ⇒|x-3|+5|x| = -6x + 3

0≤x≤3 ⇒ |x-3|+5|x| = 4x + 3

x≥3 ⇒ |x-3|+5|x| = 6x - 3

Step-by-step explanation:

Check the picture below.

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Points F,G, and H are collinear such that FG:FH=2/3.If a directed line segment begins at F(-3,2) and ends at H (-3,7), find the

Nana76 [90]

We consider the x- and y-coordinates separately. Let the coordinates of G be (x, y). Now considering the x-coordinates:
FG/FH = (x - (-3)) / (-3 - (-3)) = 2/3
x + 3 = (2/3)(6)
x = 1
For the y-coordinates:
FG/FH = (y - 2) / (7 - 2) = 2/3
y - 2 = (2/3)(5)
y = 16/3
Therefore the coordinates of G are (1, 16/3).

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3 years ago

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Drupady [299]

Answer:

Step-by-step explanation:

Thinking process:

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