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Fed [463]
3 years ago
7

Solve each system of inequalties by graphing.

Mathematics
1 answer:
nordsb [41]3 years ago
8 0

Start by graphing each line.

• Because the first inequality is smaller than, it will have a dotted (- - -) line.

• Because the second inequality is smaller than or equal to, it will have a solid line (---).

Then, plug in points to see where your shading will go. If the statement is true (x = x), you will shade that area along the line.

y  < 3x + 2

(0)  < 3(0) + 2

0  <  2

0 is less than 2.

Do the same step for the other equation. Your solution to the problem is any point that lies between the shading from both inequalities (where the blue and red meet).

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goldenfox [79]

Answer:

1/6

Step-by-step explanation:

We want to find how long it takes for the bacteria to lose half its size. We can do this by taking one point of the bacteria and finding how long it takes to go to half its size. When t=0, 9300 * (1/64)^t = 9300 * 1 = 9300 as anything to the power of 0 is 1. Therefore, we can solve for t when the end result of the bacteria is 9300/2= 4650, making our equation

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divide both sides by 9300

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take the 6th root of both sides

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. This means that t=1/6, so the bacterial culture loses 1/2 of its size every 1/6 seconds

* if this is harder to figure out, e.g. 3 and 729, we can plug (log₃729) into a calculator

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