Answer:
Step-by-step explanation:
We have the two points: (0, 11) and (3, 50).
And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.
In simple terms, we want to find the slope between the two points.
So, let's use the slope formula:
Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:
Subtract and reduce:
And we're done!
Answer:
There are 20 European Butterflies.
Step-by-step explanation:
To determine the number of European Butterflies in the park, knowing that there are 80 North American Butterflies there, and that the ratio of each species is 8: 5 for North American and South American butterflies, and 5: 2 for South American and European butterflies, it must be done the following logical reasoning:
Given that there are 8 North American butterflies for every 5 South American, and 5 South American for every 2 European, it could be said that there are 8 North American butterflies for every 2 European (8: 2).
Thus, if there were 80 North American butterflies, the number of European butterflies in the park would be 20.
Answer:
8/1
Step-by-step explanation:
To find slope you would do:
rise/run
Up and down is the rise
Left and right is the run
In your problem it goes up 8 and right 1
Given:
The function is:
To find:
The x-intercepts and zeros of the given function.
Solution:
We have,
For x-intercepts, .
Using zero product property, we get
and
and
and
and
The given function has two equal zeroes or x-intercept, i.e., .
Therefore, the zeroes are 2 and 2.
Note: All options are incorrect.