Answer:
Select the correct answer.
Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?
The answer is D.
Step-by-step explanation:
Answer:
y = x + 5
Step-by-step explanation:
y = mx + b
m -> slope ; m = 1
b -> y-intercept ; b = 5
y = 1x + 5
Answer:
(
, 0 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 2 → (1)
2x - 3y = 1 → (2)
Adding (1) and (2) term by term will eliminate the y- term, that is
6x = 3 ( divide both sides by 6 )
x =
= 
Substitute x =
into either of the 2 equations and evaluate for y
Substituting into (1)
4(
) + 3y = 2
2 + 3y = 2 ( subtract 2 from both sides )
3y = 0 ⇒ y = 0
Solution is (
, 0 )
Answer:
The x-intercept is 2
Step-by-step explanation:
So what you would do is you would distribute the 2 to x and 3 to get the equation y+2=2x+6. Then you would subtract 2 from both sides and get y=2x+4. And because your m is your x-intercept you get the answer: 2.
Answer: 
Step-by-step explanation:
For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".
A Translation is defined as a transformation in which the figure is moved a fixed distance in a fixed direction. In this kind of transformatiosn the size and shape do not change and the figure is not flipped.
In this case you know that the Pre-Image is the Triangle FGH.
You can identify in the picture that its vertex H has these coordinates:

Where:

Since the rule is:
→ 
You can substitute the coordinates of H into the given rule in order to find the coordinates of H'. This is:
