How do I graph x+3y≥12?
1 answer:
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ANSWER
EXPLANATION
The given function is
When we plug in x=3 into this function, we obtain,
This means that the function is discontinuous at x=3.
We need to simplify the function to obtain,
This implies that,
The graph this function is a straight line that is continuous everywhere.
To graph
we draw the graph of
and leave a hole at x=3.
See diagram in attachment.
Hence the coordinates of hole is
EXPLANATION
The given function is
When we plug in x=3 into this function, we obtain,
This means that the function is discontinuous at x=3.
We need to simplify the function to obtain,
This implies that,
The graph this function is a straight line that is continuous everywhere.
To graph
we draw the graph of
and leave a hole at x=3.
See diagram in attachment.
Hence the coordinates of hole is
Answer:
$425
Step-by-step explanation:
Let x represent the number of bracelets made and let y represent the number of necklace made.
Since the craftsman has 1000 beads to work with, hence:
10x + 20y ≤ 1000 (1)
Also, the craftsman has 1600 minutes, hence:
10x + 40y ≤ 1600 (2)
From ploting equations 1 and 2 on the geogebra online graphing, we can see that the solution to the problem is (40, 30).
Since the bracelet costs $5 and a necklace costs $7.50, hence the maximum revenue is:
Revenue = 5x + 7.5y = 5(40) + 7.5(30) = $425
Grace weighed 167 pounds before she started her exercise program.
Step-by-step explanation:
Given,
Weight lost by Grace = 45 pounds
Weight of Grace after exercise weeks = 122 pounds
Let,
x represents the weight of Grace before she started the exercise program.
Loss means subtraction, therefore,
We will subtract the lost weight from original weight.
Original weight - Weight lost = Weight after exercise weeks
Adding 45 on both sides
Grace weighed 167 pounds before she started her exercise program.
Keywords: equation, addition
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