Answer:
If 
whenever 
f is <em>increasing</em> on I.
If 
whenever f is <em>decreasing</em> on I.
Step-by-step explanation:
These are definitions for real-valued functions f:I→R. To help you remember the definitions, you can interpret them in the following way:
When you choose any two numbers on I and compare their image under f, the following can happen.
- . Because x2 is bigger than x1, you can think of f also becoming bigger, that is, f is increasing. The bigger the number x2, the bigger f becomes.
- . The bigger the number x2, the smaller f becomes so f is "going down", that is, f is decreasing.
Note that this must hold for ALL choices of x1, x2. There exist many functions that are neither increasing nor decreasing, but usually some definition applies for continuous functions on a small enough interval I.
First we need to find the area of the fence, since paint covers square feet and squared units refers to area. The area of the fence is 26 x 7, which is 182 sq ft. If one gallon of paint will cover 350 sq ft, your proportion will look like this, with gallons of paint on top and square feet on the bottom.
. Cross multiply to get 350x = 182 and x = .52, just a bit over a half of a gallon of paint.
Answer:
$44
Step-by-step explanation:
Use formula
% out of 100/100% = part/whole
20%/100 = 12/16+x
Cross multiply
(12)(100) = (20)(16+x)
1200=320+20x
Solve for x
1200-320 = 20x
880 = 20x
880/20 = x
44 = x
Jim's lunch was $44.
Answer:
30%
Step-by-step explanation:
this week:
4 × 7 = 28 hours
earns: 28 × 11 = £308
reduction: 440 - 308 = 132
% reduction
132/440 × 100
30%
