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( c^2 )^3 = 64 <=>( c^2 )^3 = 4^3 <=> c^2 = 4 <=> c = 2 or c = -2.
Answer:
Step-by-step explanation:
This scenario can be modeled using an exponential growth equation.
The exponential growth equations have the following form:
Where P is the population in year t
p is the initial population at t = 0
r is the growth rate
t is the time in years.
In this case we know that the current population is 13,000 and that the growth rate is 11%
So
The equation that models this scenario is:
Answer: C
<u>Step-by-step explanation:</u>
The general form of the equation is: g(x) = a|x - h| + k ;
- "a" represents the vertical stretch <em>(or shrink)</em>
- "h" represents the x-coordinate of the vertex (left and right)
- "k" represents the y-coordinate of the vertex (up and down)
4 units left means h = 4
2 units up means k = 2
--> g(x) = |x - 4| + 2
Let's take these one at a time.
A
The A choice is that the y intercept of g(x) < y intercept of f(x). Remember, a y intercept occurs when x = 0
g(x) = 2 * sqrt(x) - 8
g(0) = 2*0 - 8
g(0) = - 8
=======
f(x) = - 4 when x = 0 (you just read it.) - 4 is greater than -8. That's a true statement. Think money. Would you rather be 4 dollars in debt or 8 dollars in debt?
A: True <<<<<< answer for A.
B
y intercept occurs when x = 0 The values of f(x) and g(x) have been found in part A.
Are they equal?
The y intercept of g(x) = g(0) = 2*sqrt(0) - 8 = - 8
The y intercept of f(x) = f(x) = - 4 when x = 0
Conclusion
They are not equal and B is not the answer.
C
The x intercept occurs when y = 0
g(x) = 0
0 = 2*sqrt(x) - 8
8 = 2*sqrt(x)
4 = sqrt(x)
x = 16
======
When f(x) = 0, x = 16.
Conclusion
The x intercepts are both 16. This statement is true.
C: True <<<<<< answer.
D
If the condition is anything but equal, the statement is false. g(x) is not greater then f(x).
D <<<<<< False.
