The given equation is
To solve for x, we have to subtract 8 to both sides
Now we need to get rid of -9 from the left side, and for that we do division
Answer:
2023 rabbits
Step-by-step explanation:
The exponential model consists of the following expression:
Where:
- Initial population.
- Increase rate.
- Time
- Current population.
The initial population and increase rate are, respectively:
![r = \sqrt[4]{\frac{17}{12} }](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B4%5D%7B%5Cfrac%7B17%7D%7B12%7D%20%7D)
The exponential model that predicts the population of rabbits is:
Lastly, the expected population for the year 1996 is:
Answer:
Male students have a greater median.
Step-by-step explanation:
The median is the bold line (look at the attached image)
The male's median is greater than 60.
The female's median is less than 60.
Hope that helps!
Answer:
Option A
Step-by-step explanation:
Here is how to approach the problem:
We see that all our restrictions for all four answer choices are relatively the same with a couple of changes here and there.
One way to eliminate choices would be to look at which restrictions don't match the graph.
At x<-5, there is a linear function that does have a -2 slope and will intersect the x axis at -7. The line ends with an open circle, so any answer choice with a linear restriction of x less than or equal to -5 is wrong. This cancels out choices C and D.
Now we have two choices left.
For the quadratic in the middle, the vertex is at (-2,6) and the vertex is a maximum, meaning our graph needs to have a negative sign in front of the highest degree term. In our case, none of our quadratics left are in standard form, and instead are in vertex form.
Vertext form is f(x) = a(x-h)^2 + k.
h being the x-coordinate of the vertex and k being the y-coordinate.
We know that the opposite of h will be the actual x-coordinate of the vertex, so if our vertex is -2, we will see x+2 inside the parenthesis. This leaves option A as the only correct choice.
