Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?
1 answer:
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ANSWER
D. As the x-values increase, the y-values would decrease
EXPLANATION
The given function is
The slope of this function is
Since the slope is negative, there is a negative or an inverse relationship between x and y.
As the values of x increases, the values of y decreases.
Also, as the values of x decreases, the values of y increases.
The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.
For instance, when
This implies that,
Options B is obviously not true because the function has a negative relationship between x and y.
Option C is also false because, x can be positive since it is the independent variable.
See graph
Therefore, the correct answer is option D.
D. As the x-values increase, the y-values would decrease
EXPLANATION
The given function is
The slope of this function is
Since the slope is negative, there is a negative or an inverse relationship between x and y.
As the values of x increases, the values of y decreases.
Also, as the values of x decreases, the values of y increases.
The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.
For instance, when
This implies that,
Options B is obviously not true because the function has a negative relationship between x and y.
Option C is also false because, x can be positive since it is the independent variable.
See graph
Therefore, the correct answer is option D.
Hi there!
<u>FACTS</u> :
The formula for the volume of a cylinder is : V = × r² × h
<u>STEPS TO ANSWER:</u>
You have the diameter of the cylinder, which is 13cm.
In order to have the radius of the cylinder to put in our formula, you'll need to divide the diameter by 2 because the diameter is two times the radius:
13 ÷ 2 = 6.5
Now that you have the radius (6.5) and the height (24cm) of the cylinder, you can put these information in the formula and calculate de volume :
V = × r² × h
V = × <u>6.5²</u> × 24
V = × <u>42.25 × 24</u>
V = × 1,014
V = 3,185.574950......
Since you need to round your answer to the nearest tenth, which means that you will have only one decimal, the volume of the cylindrical container would be about 3,185.6cm³.
There you go! I really hope this helped, if there's anything just let me know! :)