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
stira [4]
3 years ago
8

Explain the difference between exponential growth and exponential decay

Mathematics
1 answer:
alexdok [17]3 years ago
8 0
Exponential growth is the function
y =  a^{x} , a\ \textgreater \ 1
Exponential decay is the function
y = a^{x} , 0\ \textless \ a\ \textless \ 1
So, the basic difference is that in growth the base is more than 1, and in decay the base is more than 0 but less than 1.
You might be interested in
What value of b will cause the system to have an infinite number of solutions?
irga5000 [103]

b must be equal to -6  for infinitely many solutions for system of equations y = 6x + b and -3 x+\frac{1}{2} y=-3

<u>Solution: </u>

Need to calculate value of b so that given system of equations have an infinite number of solutions

\begin{array}{l}{y=6 x+b} \\\\ {-3 x+\frac{1}{2} y=-3}\end{array}

Let us bring the equations in same form for sake of simplicity in comparison

\begin{array}{l}{y=6 x+b} \\\\ {\Rightarrow-6 x+y-b=0 \Rightarrow (1)} \\\\ {\Rightarrow-3 x+\frac{1}{2} y=-3} \\\\ {\Rightarrow -6 x+y=-6} \\\\ {\Rightarrow -6 x+y+6=0 \Rightarrow(2)}\end{array}

Now we have two equations  

\begin{array}{l}{-6 x+y-b=0\Rightarrow(1)} \\\\ {-6 x+y+6=0\Rightarrow(2)}\end{array}

Let us first see what is requirement for system of equations have an infinite number of solutions

If  a_{1} x+b_{1} y+c_{1}=0 and a_{2} x+b_{2} y+c_{2}=0 are two equation  

\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}} then the given system of equation has no infinitely many solutions.

In our case,

\begin{array}{l}{a_{1}=-6, \mathrm{b}_{1}=1 \text { and } c_{1}=-\mathrm{b}} \\\\ {a_{2}=-6, \mathrm{b}_{2}=1 \text { and } c_{2}=6} \\\\ {\frac{a_{1}}{a_{2}}=\frac{-6}{-6}=1} \\\\ {\frac{b_{1}}{b_{2}}=\frac{1}{1}=1} \\\\ {\frac{c_{1}}{c_{2}}=\frac{-b}{6}}\end{array}

 As for infinitely many solutions \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}

\begin{array}{l}{\Rightarrow 1=1=\frac{-b}{6}} \\\\ {\Rightarrow6=-b} \\\\ {\Rightarrow b=-6}\end{array}

Hence b must be equal to -6 for infinitely many solutions for system of equations y = 6x + b and  -3 x+\frac{1}{2} y=-3

8 0
3 years ago
Line a ∥ line b. Find the value of x and y. Please show all work for credit.
olasank [31]

Answer:

x = 12, y =

Step-by-step explanation:

a || b

5x - 7 = 3x + 17   Alternative Interior Angles

x = 12   Algebra

Angle 3x + 17 = 53   Substitution

53 + 4y + 3 = 180   Supplementary Angles

y = 31

5 0
2 years ago
How many places do you need to move the decimal to the left to write the
Vlad [161]

Answer:

9

Step-by-step explanation:

the decimal always goes between the numbers that arent 0s

4 0
2 years ago
Gavin likes biking. This week his goal is to bike about 65 total miles over four days. Each day he wants to ride 1.5 times as fa
IRISSAK [1]

Step-by-step explanation:

let the first-day ride be x

Then the second-day ride will be =1.5 x

The third-day ride will be=1.5(1.5x)      

The Fourth-day ride will be=1.5*1.5(1.5x)  

hence for the four days the distance covered is

65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x

65=x+1.5x+2.25x+3.375x

65=8.125x

divide both sides by 8.125 we have

x=65/8.125

x=8mile

the first-day ride be x=8miles

the second-day ride will be =1.5 x =1.5*8= 12miles

The third-day ride will be=1.5(1.5x) = 18miles

The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles

5 0
3 years ago
Graph on a number line and solve. (-4) + 8 =
grigory [225]

Answer:

its 4

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What is the constant of proportionality for the equation y=1 1/2x?​
    12·2 answers
  • If ( 43.65 ) ( 8.79 ) / x = ( 0.4365 ) ( 87.9 ) then value of x is:
    9·1 answer
  • Using the order of operations, what should be done first to evaluate (-4)² +6+(-3+4) (2) -5?
    15·2 answers
  • What is 3/4 of the product of 2/4 and 6/8?​
    5·1 answer
  • Find the area of a circle with a diameter of 16.
    12·1 answer
  • What is the slope of a line perpendicular to the line whose equation is y = 2x + 5?
    14·2 answers
  • 4. Can two lines be parallel and perpendicular? Explain.
    12·1 answer
  • How many albums can Jada download if she downloads 30 individual songs?
    7·1 answer
  • Find the missing length indicated. Hi can someone please explain how I would solve this question?
    9·1 answer
  • Sara borrows
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!