1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lions [1.4K]
3 years ago
7

Explaining Exponential Growth in Terms of the Base of the Exponent In exponential growth functions, the base of the exponent mus

t be greater than 1. How would the function change if the base of the exponent were 1? How would the function change if the base of the exponent were between 0 and 1?
Mathematics
2 answers:
Tju [1.3M]3 years ago
7 0
Take an example  y = 2^x   The exponent is x.
when x = 1,2 and 3  y will be 2^1 = 2, 2^2 = 4  and 2^3 = 8
So the values of y grow very rapidly  with base 2.  
They would grow even more rapidly with  higher bases.

if the base = 1 there would be no growth because 1 to any exponent still = 1.
1^2 = 1 , 1^1000 = 1  and so on.
ratelena [41]3 years ago
3 0

Sample Response: If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

You might be interested in
An air freshener starts with 30 grams of fluid, and the amount of fluid decreases by 12% per day. Express the amount of grams of
vampirchik [111]
Q = 30 (0.88)^t 

Hope this helps :)
8 0
3 years ago
Given the following diagram, find the missing measure.<br>*​
BigorU [14]

Option C:

x = 30

Solution:

The given image is a triangle.

angle 1, angle 2 and angle 3 are interior angles of a triangle.

angle 4 is the exterior angle of a triangle.

m∠4 = 2x°, m\angle2=\frac{4}{3}x^\circ, m∠3 = 20°

Exterior angle theorem:

<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>

By this theorem,

m∠4 = m∠2 + m∠3

$2x^\circ=\frac{4}{3}x^\circ+20^\circ

Subtract \frac{4}{3}x^\circ on both sides of the equation.

$2x^\circ-\frac{4}{3}x^\circ=20^\circ

To make the denominator same and then subtract.

$\frac{6}{3}x^\circ -\frac{4}{3}x^\circ=20^\circ

$\frac{2}{3}x^\circ =20^\circ

Multiply by \frac{3}{2} on both sides of the equation.

x° = 30°

x = 30

Hence option C is the correct answer.

6 0
3 years ago
I need this answer following the order of operation. Please help!
natita [175]

Answer:

The answer to the question provided is 1.

8 0
3 years ago
Match each pair of equivalent fractions.
coldgirl [10]

1 would be D

2 would be C

3 would be A

4 would be B

3 0
3 years ago
Read 2 more answers
Please help :) A scientific question may lead to a(n) blank , which can be tested.
lisabon 2012 [21]

Answer:

Hypothesis

Step-by-step explanation:

The hypothesis is an educated guess that can be tested through experimentation.

5 0
3 years ago
Other questions:
  • T is between points p and b pt=15 and tb=10 what is pb
    13·2 answers
  • The following values of (x) and f(y) are given. Find the best value of (dy/dx) at
    14·1 answer
  • :DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
    6·2 answers
  • The school that Jaidee goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10
    13·1 answer
  • A 21-foot ladder is leaning against a building. The base of the ladder is 7 feet from the base of the building.
    13·1 answer
  • Please Help!!!
    6·2 answers
  • Need help solving these questions!!! PLEASE HELP AS SOON AS YOU CAN!! 7.
    10·1 answer
  • The formula Q = MCT we're Q = heat flow, M = mass, C = Specific heat, and T = change of temperature is used to calculate heat fl
    8·1 answer
  • Twice the sum of a number and 3 times a second number is 4. The difference of ten times the seco
    15·1 answer
  • Find the missing side of the triangle SHOW YOUR WORK!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!