Answer:
first blank = 10 (for table 1)
second blank = 30 (for table 2)
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Explanation:
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.
First convert them to fractions (the answer choices are fractions):
a) 0.333... = 1/3
b) 0.555... = 5/9
Now add a and b:
1/3 (or 3/9 for a common denominator) + 5/9 = 8/9
That fraction is in simplest form, so leave it as it is.
Hope this helps!
A² = 14² + 48²
a² = 196 + 2304
a² = 2500
a = \/2500
a = \/(25*100)
a = 5*10
a = 50
