The system of inequalities which is represented in the graph shown (see attachment) is:
- y ≥ x² -2x -3
- y ≤ x +3
<h3>What is an inequality?</h3>
An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than or equal to (≤).
- Greater than or equal to (≥).
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
By critically observing the graph which models the system of inequalities shown, we can infer and logically deduce the following points:
- Both boundary lines on the cartesian coordinate are solid. Thus, the inequalities will both have the "equal to" sign.
- The shading occurred above the quadratic boundary line. Thus, the inequalities below the linear boundary line is given by y ≥ x² + and y ≤ x +
In conclusion, we can infer and logically deduce that the system of inequalities which is represented in the graph shown (see attachment) is:
- y ≥ x² -2x -3
- y ≤ x +3
Read more on graphs here: brainly.com/question/25875680
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Answer:
Part 1)
-----> 
Part 2)
------> 
Part 3)
-----> 
Part 4)
-----> 
Part 5)
------> 
Step-by-step explanation:
Part 1) we have

To calculate the subtraction convert the mixed numbers to an improper fractions



substitute

Convert to mixed number

Part 2) we have

To calculate the subtraction eliminate the parenthesis first

Part 3) we have

To calculate the subtraction convert the mixed numbers to an improper fractions



substitute

Eliminate the parenthesis

Convert to mixed number

Part 4) we have

To calculate the subtraction eliminate the parenthesis first

Part 5) we have

To calculate the subtraction convert the mixed numbers to an improper fractions



substitute

Eliminate the parenthesis

This dosent make sense and where are the sentences ;-;
Answer: 4.8 gallons to 7.6 gallons (appex)
Step-by-step explanation:
Derivitive of cosx=-sinx
dy/dx sinx=cosx
and use chain rue
2cosx=-2sinx
2cos2x=-4sin2x
so
-2sinx-4sin2x id the deritivitve