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Anton [14]
2 years ago
9

A pencil box contains five

Mathematics
1 answer:
KonstantinChe [14]2 years ago
5 0

Answer:

red pencil=5/24

yellow pencil=6/24

Blue pencil=8/24

Orange pencil=3/24

purple pencil=2/24

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1 year ago
Solve the equation |x-2|-3=0 first by finding the zeros of<br> y=|x-2|-3 and then algebraically.
tino4ka555 [31]

Answer:

The solution of given equation are -1 and 5.

Step-by-step explanation:

The given equation is

|x-2|-3=0

We need to solve the above equation by finding the zeros of

y=|x-2|-3

The vertex form of an absolute function is

y=a|x-h|+k

where, a is constant and (h,k) is vertex.

Here, h=2, k=-3. So vertex of the function is (2,-3).

The table of values is

   x           y

   0         -1

   2         -3

   4         -1

Plot these points on a coordinate plane and draw a V-shaped curve with vertex at (2,-3).

From the given graph it is clear that the graph intersect x-axis at -1 and 5. So, zeroes of the function y=|x-2|-3 are -1 and 5.

Therefore the solution of given equation are -1 and 5.

Now solve the given equation algebraically.

|x-2|-3=0

Add 3 on both sides.

|x-2|=3

x-2=\pm 3

Add 2 on both sides.

x=\pm 3+2

x=3+2 and x=-3+2

x=5 and x=-1

Therefore the solution of given equation are -1 and 5.

3 0
3 years ago
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