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Mathematics

2 answers:

stepladder [879]3 years ago

8 0

Rewrite B: |x-3| - 1 = 5 becomes |x-3| = 6. One way to interpret this follows:

Regard 3 as the center of a graph. Then locate 2 points: one that is 6 units to the right of 3, and the other that is 6 units to the left of 3. The final graph consists of just two points: -3 and 9. Note that -3 + 6 = 3 (the center) and that 9-6 = 3 (also the center).

Shalnov [3]3 years ago

6 0

|x - 3| - 1 = 5

x - 3 - 1 = 5

x - 4 = 5

x = 9

-(x - 3) - 1 = 5

-x + 3 - 1 = 5

-x + 2 = 5

-x = 3

x = - 3

x = -3 , 9 matched the answers on the number line

Answer is B) |x - 3| - 1 = 5

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each time kim pour water from a jug into a glass, exactly 10% of the water remaining in the jug is used. What is the minimum num

Gnoma [55]

The correct answer is:

At least 7 times.

Explanation:

Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.

After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes. This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):

$0.5 < 0.9^x$