98.9k views
2 votes
Let p be the constant function p (z) = 1,000,000,000. Let q be the exponential function q (2) = 10

The product of the two functions is (pq) (z) = 10ª-2, where a is a constant. What is the value of a?
C2023 Illuminate Education, Inc.
P
C

Let p be the constant function p (z) = 1,000,000,000. Let q be the exponential function-example-1

2 Answers

4 votes

Answer:

10 or 1b

Explanation:

User Masih Jahangiri
by
7.7k points
4 votes


\large \boxed{\mathrm{10}}

The constant function p has a fixed output of one billion, while the exponential function q has a base of two and an output of 10. As the input increases by one, the output of q doubles. For example, q(3) = 20 and q(4) = 40. The rate of growth of q is much faster than p. In fact, q will eventually surpass p for large enough inputs. This demonstrates the power of exponential growth and highlights the importance of understanding the functions used in equations and models.

User Jon Combe
by
8.4k points

Related questions

asked Apr 8, 2024 44.5k views
Popara asked Apr 8, 2024
by Popara
7.9k points
1 answer
1 vote
44.5k views
asked Sep 8, 2024 231k views
Ziv Barber asked Sep 8, 2024
by Ziv Barber
7.6k points
1 answer
0 votes
231k views