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musickatia [10]
3 years ago
6

THE SUM OF TWO CONSTRUCTIVE INTEGERS IS NO MORE THAN 209.

Mathematics
1 answer:
erica [24]3 years ago
8 0

x = first integer

x+1 = integer right after x

For example, if x = 10, then the next one after that is x+1 = 10+1 = 11. So 10 and 11 are consecutive integers (one follows right after the other)

The sum of those two integers x and x+1 add to x+x+1 = 2x+1

This sum is no more than 209, therefore,

2x+1 \le 209

2x+1-1 \le 209-1

2x \le 208

\frac{2x}{2} \le \frac{208}{2}

x \le 104

Therefore the largest x can be is 104

If x = 104, then x+1 = 104+1 = 105

<h3>Final Answer: 105</h3>

Note how 104+105 = 209, which helps confirm the answer

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guajiro [1.7K]

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3 years ago
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4 years ago
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enot [183]

Answer:

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second blank = 30 (for table 2)

====================================================

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You could use a calculator to determine the value of b, then compute b^x for that first box. But as the instructions state, we don't need to use one. Why is that? Because the tables provide enough information to fill in the blanks.

Table 1 shows x = 2.096 lead to some unknown y value. Meanwhile, table 2 has x = 10 lead to y = 2.096; note the 2.096 shows up again. The exponential and log functions are inverses of each other. They undo each other's operation. This is similar to how division undoes multiplication, and vice versa.

Going in reverse of table 2, we will conclude that 10 must go in the blank for table 1. Therefore, b^x = 10 when x = 2.096

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Similarly, we will have 30 in the blank for table 2. Table 1 shows x = 3.096 lead to y = 30. Table 2 is the reverse of that as it is the inverse.

Throughout either section, we didn't need to find the value of b.

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4 years ago
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Answer:

13.  $320

Step-by-step explanation:

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3 0
3 years ago
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