First divide both sides of the inequality by 3.
On the left, the 3's cancel and you're left with j
and on the right, 6 divided by 3 is 2.
So we have j >2 which is the solution to this inequality.
I have graphed the inequality for you below.
Start with an open dot on 2.
We use an open dot because j > 2 but it is not equal to 2.
Then draw an arrow to the left to
represent all numbers greater than 2.
Answer:
Step-by-step explanation:
In the Equation it asks for 3 things; pi (3.14), r (The radius), and h (the height).
In the question, it says that the radius is 1 foot and that the height is 4 feet. From there all you need to do is insert those numbers where it's shown in the equation. This makes the equation go from this:
To this:
From there you follow PEMDAS/GEMDAS. And should have your answer.
For a Cloudy sky , the solar panel requires 80 hours to generate 400 kilowatts per day
For a clear sky the solar panel requires 12.5 hours to generate 400 kilowatts per day.
The solar panel does not exceed its maximum capacity of 400 kilo watts per day because it will generate 207 kilo watts per day.
Step-by-step explanation:
1.Given the inequality for power generated as;
5C+32L≤400 where C is number of hours when sky is cloudy and L is the number of hours when the sky is clear then;
The equation can be written using x and y as
5x + 32 y ≤ 400 -----where x=C and y=L
Graphing the equation on a graph tool for values of x and y that produce maximum capacity,the graph is attached below where x=80 hours and y=12.5 hours.
This means C=cloudy sky = 80 hours and L=clear sky= 12.5 hours
For a Cloudy sky , the solar panel requires 80 hours to generate 400 kilowatts per day
For a clear sky the solar panel requires 12.5 hours to generate 400 kilowatts per day.
2.
Given C=3 hours and L= 6 hours substitute values in the inequality
5C+32L≤400
5*3 + 32*6 ≤ 400
15+192 ≤ 400
207 ≤ 400
The solar panel does not exceed its maximum capacity of 400 kilo watts per day.
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Inequalities :brainly.com/question/10921764
Keywords: solar panel, power, maximum rate, sky, cloudy, clear,
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Answer:
a) First graph
The solution of the given inequalities -1 ≤ x ≤ 7
Step-by-step explanation
Given two inequalities
- 4 ≤ 3 x -1 ...(i)
2 x +4 ≤ 18 ...(ii)
From(i)
- 4 ≤ 3 x -1
Adding '1' on both sides , we get
- 4 + 1 ≤ 3 x - 1 +1
- 3 ≤ 3 x
Dividing '3' on both sides , we get
-1 ≤ x ...(a)
From (ii)
2 x +4 ≤ 18
subtracting '4' on both sides , we get
2 x + 4 - 4 ≤ 18 -4
2 x ≤ 14
dividing '2' on both sides, we get
x ≤ 7 ..(b)
Now the solution of two inequalities From(a) and (b)
-1 ≤ x ≤ 7
<u>Final answer</u>:-
The graph of the two inequalities is first graph
