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).
Answer:
This is what internet says. Maybe this helps.
Answer: -5/12
Step-by-step explanation: Before multiplying two fractions together by multiplying across their numerators and multiplying across their denominators, you should always try to cross-cancel as your first step.
So in this problem, the 2 and 8 cross-cancel to 1 and 4.
Also, watch out for your signs. In this problem we have a negative times a positive so we know that our answer will be negative.
Now we can multiply across the numerators and across the denominators.
So we have 5 · 1 which is 5 and 4 · 3 which is 12.
So our answer is -5/12.
Be very careful with your signs!
From a reliable source, the maximum capacity of a standard bus used as school bus is 72 students. Because the bus that Mr. Tuttle drives is already 3/4 full, only 1/4 of the capacity is unoccupied. With this, the number of the empty seats is calculated by multiplying 72 by 1/4 as shown below.
empty seats = (1/4)(72) = 18
Therefore, the bus could have accommodated 18 more students.
Based on the information given the percentage increase is 5%.
<h3>Percentage increase</h3>
Using this formula
Percentage increase=Population several years later-Population for year/Population for one year×100%
Let plug in the formula
Percentage increase=236,360-225,000/225,000×100
Percentage increase=5%
Inconclusion the percentage increase is 5%.
Learn more about percentage increase here:brainly.com/question/11360390
