Step-by-step explanation:
A transformation(s) of a parent function is

where a is vertical compression/stretched or reflection
B is horinzotnal compression/stretch or reflection
C is horinzontal translation
D is vertical translation.
The parent function is

First, we stretched this by 7
so we have

We need to shift this 12 units to the left so we have

We need to reflect this across x axis so we get

We need to shift this downwards 15 so we get

or because tan is a odd function you could say


Since It's parallel to <span>y=5x-9 the slope of this new line is 5
so the equation looks like </span><span>y=5x+b
to find be we just replace x by 2 and y by 3
3=10-b so b = -7
the equation is </span><span>y=5x-7</span>
Answer:
Step-by-step explanation:
2x + 2 -3x -15 > 0
-x-13 > 0
-x > 13
Answer: x < -13
ANSWER

EXPLANATION
We want to find the number of years that it will take the population to double.
To do this, we have to apply the exponential growth function:

where y = final value
a = initial value
r = rate of growth
t = time (in years)
For the population to double, it means that the final value must be 2 times the initial value:

Substitute the given values into the function above:

To solve further, convert the function from an exponential function to a logarithmic function as follows:

Solve for t:

It will take 9 years for the population to double.
Answer:
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Step-by-step explanation:
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