Answer:
Step-by-step explanation:
we have
Solve for x
Applying difference of squares in the denominator of the second term in the left side
Multiply both sides by (x+3)(x-3)
Apply the distributive property in the left side
Combine like terms left side
Group terms
Divide by 3 both sides
Answer:
$23.11
Step-by-step explanation:
We can use a proportion to find the meal tax
7 : 100 = x : 21.60
x = (21.60 * 7)/100 = $1,512
Final cost = 21.60 + 1,512 = $23.11
You are looking for several things when determining if a function is exponential or not.
An exponential function needs three things. A base, a power which is always a variable, and a constant.
Let me write a random exponential function and I’ll use it as an example.
f(x)=100x1.05^x
This is an exponential function because the c (constant) is 100. The c usually is about a population or object that is increasing.
The base is 1.05 which is usually a percentage increase.
Then the power which is x and this controls the time. It could be per day, year, and etc.
All of these factors contribute to the exponential function. If you have any questions ask, don’t be shy. :)
Answer:
7.3025850929
Step-by-step explanation:
v(t)=(2t)/(1+t^2)
To find the position we need to integrate the function
p(t) = ∫ v(t)
p(t) =∫(2t)/(1+t^2) dt
Using u substitution
u = 1+t^2
du =2t dt
p(t) =∫(du)/(u)
We know that the integral of 1/u du is ln |u|
p(t) = ln|u| +C
Substituting back for u
p(t) = ln|1 +t^2| +C
To find the value of C, we let t=0
p(0) = ln|1 +0| +C = 5
= ln(1) +C =5
0 +C =5 Therefore C=5
p(t) = ln|1 +t^2| +5
We want to find the position at t=3
p(3) = ln|1 +3^2| +5
= ln(10) +5
=7.3025850929
Answer:
See below.
Step-by-step explanation:
The answer would be 2 3/4.
The third tick represents 3/4, and this is between 2 and 3.
-hope it helps
