May someone pleaes help me on this math problem
2 answers:
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9514 1404 393
Answer:
Step-by-step explanation:
Multiply numerator and denominator by the "conjugate" of the denominator.
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This is done in different scenarios in order to take advantage of the factoring of the difference of squares. Square root terms and imaginary terms in the denominator can be eliminated in this way.
a² - b² = (a -b)(a +b)
Answer:
graph is attached below.
Step-by-step explanation:
Given : equation 3x ≤ 2y - 7
We have to plot the graph for the given inequality.
Consider the given inequality 3x ≤ 2y - 7
To plot the graph we first convert inequality to equality.
then equation becomes, 3x = 2y - 7
We find the points to plot this line,
at x = 1
⇒ 3(1) = 2y - 7
⇒ 3 = 2y - 7
⇒2y = 10
⇒ y = 5
at x = 3
⇒ 3(3) = 2y - 7
⇒ 9 = 2y - 7
⇒2y = 16
⇒ y = 8
at x = 5
⇒ 3(5) = 2y - 7
⇒ 15 = 2y - 7
⇒2y = 22
⇒ y = 11
Thus, points are (1 , 5) , (3,8) and (5 , 11)
Now we plot these points and obtained the graph of line 3x = 2y -7
For region to be shaded take a test point and check whether it satisfy the given given inequality or not.
Let point be (-3, 0)
Substitute x= -3 and y = 0, we get
3(-3) ≤ 2(0) - 7
⇒ -9 ≤ - 7 (true)
Graph plot is as shown below.
