Evaluate the expression. (13^2 - 12^2) ÷ 5
1 answer:
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Answer:
C
Step-by-step explanation:
So, we started out with 2,400 black rhinos.
And we know that they are declining at a rate of 10% per year.
In other words, each subsequent year will only have <em>90%</em> of the previous year's rhinos.
Therefore, our function is:
We can do some elimination first.
First, the starting point or y-intercept <em>must </em>be 2400 since that's the number of rhinos we started out with.
Therefore, we can eliminate A and D.
From the remaining choices B or C, we can technically also eliminate B. This is because from our function, we know it's exponential decay, and exponential decay is <em>not</em> a straight line.
However, to double check, let's check the population after 10 years using our function. So:
Use a calculator:
So, after 10 years, the population should be around 840.
B is definitely <em>not</em> 840 (at x=10). However, C is right around it.
Therefore, we can conclude that C is the right answer.
And we're done!
Answer:
Step-by-step explanation:
The given equation is expressed as
y = 1/(x - 2)
We will assume values for x and determine the corresponding values for y. Therefore,
When x = 0, y = 1/(0 - 2) = - 1/2
When x = 1, y = 1/(1 - 2) = - 1
When x = 2, y = 1/(2 - 2) = 0
When x = 3, y = 1/(3 - 2) = 1
When x = 4, y = 1/(4 - 2) = 1/2
To plot the graph, we would choose a suitable scale for the x and y axis of the graph.
Let 2 cm represent 1 unit on the vertical axis.
Let 2 cm represent 0.5 unit on the x axis.
The graph is shown in the attached photo
Answer:
9
Step-by-step explanation:
To find the slope of a line, calculate the distance between points with a ratio of vertical to horizontal distance. This is done using the formula:
Here the points are (-7,-2) and (-6,7). Substitute and simplify.