Answer:
Step-by-step explanation:
<h3>Hope it is helpful....</h3>
Here's how you simplify those. The rule for raising an exponent to an exponent is that you multiply them. The rule for dividing exponents with the same base is that you subtract the denomonator from the numerator. So let's simplify the first one, which is actually the most confusing.
Multiplying the exponents you get:
Subtracting the denominator from the numerator between the common base of p you get this:
Doing that math gives you
which equals
which is
, or the third one down.
The next one:
simplifies to:
and subtracting the power of the denominator from the power of the numerator gives you:
, which is the last choice.
simplifies to:
which simplifies very nicely to:
, which is the first choice. The other one is found by process of elimination!
Answer:
Domain: ( -∞ , ∞ )
Range: ( -∞ , 4 ]
Step-by-step explanation:
Hi there!
The domain tells us the possible x-values of a function. Because there are arrows at the end of each side, it means the graph is travelling infinitely to both the left and the right side. This means the the domain is all real numbers, meaning that for any value of x, there is a real value for y.
( -∞ , ∞ )
The range tells us the possible y-values of a function. Both sides of the graph are travelling infinitely downwards, starting from 4.
( -∞ , 4 ]
I hope this helps!
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.
1. The perimeter is 20. How I got that is to add all of them together- 9+3+3+3+2=20. The area is the area is 15. How I got that was I did the little square with 3 and 2 first. 3 times 2 = 6, then I did the 3 and 3 which = 9 and added those together 9+6=15
2. The perimeter is 15. How I got that is I add them all together. 6+3+2+2+2=15. The area is 10. I did 3 times 2 = 6, 2 times 2 = 4, 6+4=10
