(x - 2)^2 will always be positive and will have a minimum value of 0
so f(x) will have minimum of 2
Range is [2,∞)
<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
The question in this problem is:
<em>The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger. What are the numbers?</em>
<em />
First of all, let's name the first variable
which is the smaller number. Accordingly, the lager number will be
given that those numbers are consecutive. On the other hand<em> at most </em>conveys the idea of an inequality, which is:

So:
1. The sum of 2 consecutive integers can be written as:

2. Nine times the smaller and 5 times the larger can be written as:

Finally, the whole statement:
The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger:


The two numbers are:

Answer:
4/3
Step-by-step explanation:
A proportional relationship is a relationship that crosses through the origin or (0,0). This means the slope of the line can be found by subtracting the points (12,16) and (0,0) in the slope formula.

So the slope is 4/3 and must be the value between any two points on the line.
This means the function moves from (0,0) to (1, 4/3).
Answer:
x > 8
Step-by-step explanation:
Given
17 < 9 + x ( subtract 9 from both sides )
8 < x , hence
x > 8
Answer:
Step-by-step explanation:
Volume of the figure = Base area * height
Base area:
Base area = area of trpezium + area of triangle
<u />
<u>Trapezium:</u>
a, b area the length of parallel sides and h is the height of trapezium.
a = 8 m ; b = 5 m & h = 3 m


<u>Triangle:</u>
height = 4 m & base = 8 m


Base area = 19.5 + 16
= 35.5 m²
Volume of the figure = Base area * height
= 35.5 * 14
= 497 m³