Answer:
Step-by-step explanation:
Given question is incomplete; here is the complete question,
Here is an equation that represents a function: 72x + 12y = 60.
Select all the different equations that describe the same function.
A). 120y + 720x = 600
B). y = 5 - 6x
C). 2y + 12x = 10
D). y = 5 + 6x
E).
F). 7x + 2y = 6
G).
Option A.
720x + 120y = 600
72x + 12y = 60
True.
Option B.
y = 5 - 6x
6x + y = 5
12(6x + y) = 12(5)
72x + 12y = 60
True
Option C.
2y = 12x + 10
-12x + 2y = 10
-6(-12x + 2y) = -6(10)
72x - 12y = -60
False
Option D.
y = 5 + 6x
-6x + y = 5
-12(-6x + y) = -12(5)
72x - 12y = -60
False.
Option E.
72x = 60 - 12y
72x + 12y = 60
True.
Option F.
7x + 2y = 6
6(7x + 2y) = 6(6)
42x + 12y = 36
False
Option G
72x = 60 + 12y
72x - 12y = 60
False
Options A, B and E are the correct options.
<span>When we remove those parentheses, the sign of every term
within the parentheses changes.</span>
Problem 2. Remove the parentheses.
a) p + (q −r + s) <span>= p + q − r + s</span>
b) p − (q −r + s) <span>= p − q + r − s</span>
In each of the following problems, remove the parentheses, then simplify
by adding the numbers.
For example,
<span><span><span>(x − 3) − (y − 4)</span> = <span>x − 3 − y + 4</span></span> <span> = <span>x − y + 1.</span></span></span>
The sign preceding (x − 3) is understood to be + . Therefore the signs within those parentheses do not change.
But the sign preceding (y − 4) is minus. Therefore, y changes to −y, and −4 changes to +4.
Finally, it is the style in algebra to to write the literal terms, x − y, to the left of the numerical term.
Answer:
I suppose that you want to find the region of solutions.
We start with the inequality:
3х - 4y ≤ -20
To solve this, will be easier to write this as a linear relationship, we can do this as follows:
3x - 4y ≤ -20
-4y ≤ -20 - 3x
y ≥ (-20 - 3x)/-4
(Notice that the "direction" of the sign changes, this is because we divided both sides by a negative number).
y ≥ 5 + (3/4)*x
Now we have the equation of a line, and we know that y will be equal or greater than the line, this means that we need to draw the line and shade all the area above the line, as shown in the graph below:
it would be 3.5 or a little less than 50%
Step-by-step explanation:
27 - 1.5x ≤ 36
54 - 3x ≤ 72
-3x ≤ 72 - 54
-3x ≤ 18
x ≥ 18/(-3)
x ≥ -6
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