Answer: 4/2
Step-by-step explanation: Rise over run. From point S to R it goes up 4 and over 2.
Answer:
1) decay
2) growth
3) growth
Step-by-step explanation:
A generic exponential function can be written as:
f(x) = A*(r)^x
Where:
A is the initial amount of something.
r is the rate of growth.
x is the variable, usually, represents time.
if r > 1, we have an exponential growth.
if r < 1, we have an exponential decay.
1) f(x) = (3/4)^x
in this case we have:
A = 1
r = (3/4) = 0.75
Clearly, r < 1.
Then this is an exponential decay.
2) f(x) = (1/6)*4^x
In this case we have:
A = (1/6)
r = 4
Here we have r > 1.
Then this is an exponential growth.
3) f(x) = (1/4)*(5/2)^x
in this case we have:
A = 1/4
r = 5/2 = 2.5
here we have r > 1, then this is an exponential growth.
Answer:
Linearly Dependent for not all scalars are null.
Step-by-step explanation:
Hi there!
1)When we have vectors like
we call them linearly dependent if we have scalars
as scalar coefficients of those vectors, and not all are null and their sum is equal to zero.
When all scalar coefficients are equal to zero, we can call them linearly independent
2) Now let's examine the Matrix given:

So each column of this Matrix is a vector. So we can write them as:
Or
Now let's rewrite it as a system of equations:

2.1) Since we want to try whether they are linearly independent, or dependent we'll rewrite as a Linear system so that we can find their scalar coefficients, whether all or not all are null.
Using the Gaussian Elimination Method, augmenting the matrix, then proceeding the calculations, we can see that not all scalars are equal to zero. Then it is Linearly Dependent.



Answer:
A. Rational
Step-by-step explanation: