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1 answer:
Answer:
Population of the 48th generation will be 4469.
Step-by-step explanation:
Recursive formula by which the population is increasing,
L₀ = 4
Common difference 'd' = 95
Recursive formula represents a linear growth in the population.
Therefore, explicit formula for the given sequence will be,
= L₀ + (n - 1)d [Explicit formula of an Arithmetic sequence]
Here n = Number of terms
L₄₈ = L₀ + (48 - 1)(95)
= 4 + 4465
= 4469
Therefore, population of the 48th generation will be 4469.
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Answer:
Step-by-step explanation:
The equation of any line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
Two points are given: (-6,4) and (-2,2). Calculating the slope:
The equation of the line is, so far:
To calculate the value of b, we use any of the given points, for example (-6,4):
Solving:
b = 1
The equation of the line is:
We can see none of the choices is correct.