Answer:
is not a logarithmic function because the base is equal to 1.
Step-by-step explanation:
A logarithmic function is of the form: 
For a logarithmic function to exist, we must fulfill certain conditions. The conditions are
i. The base, 
, is greater than 0. 
ii. The base, , is not equal to 1. 
iii. 
must be greater than 0. 
Now, if we observe all the choices given, we conclude that the third choice is correct as the base there is 1. If base is equal to 1, then it violates the definition of logarithmic functions. So, the correct choice is:
is not a logarithmic function because the base is equal to 1.
Answer:
16.907
Step-by-step explanation:
Answer: $32.38
Explanation:
64.75 = 100%
So that mean 50% would be half of 64.75
64.75 ÷ 2 = 32.375
Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
The equation has no solution
