Answer:
-2
Step-by-step explanation:
Answer:
Calculate the number of whole years it takes for the population to decrease from 2180 to less than 1000-by-step explanation:
Answer:
22
Step-by-step explanation:
198 = 2×3²×11
For 198n to be a perfect square, each prime factor must have an even exponent. So the smallest 198n would be:
198n = 2²×3²×11²
198n = 4356
n = 22
In both cases you may well benefit from graphing the functions.
Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).
Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.
Thus the range includes all real numbers: (-infinity, infinity).
Pattern is -5 then +3, so next number is 46-5 which is 41, and then that plus 3, which is 44
So 41 and 44
