The values are in the solution set of the compound inequality are (-6, -3), (3, 8).
<h3>What is inequality?</h3>
Inequality is the phenomenon of unequal distribution of resources and opportunities among the given function.
To find the number that are solutions to the compound inequalities, the value of x is
First inequality:
4(x +3) ≤0
4x +12 ≤0
4x ≤-12
x ≤-3
The value of x lies in the interval = (-∞ , -3]
Second inequality:
x +1 >3
x>2
The value of x lies in the interval = (2 , ∞)
So, the interval solution is (-∞ , -3] U (2 , ∞)
Thus, the values are in the solution set of the compound inequality are (-6, -3), (3, 8).
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Answer:
-120
Step-by-step explanation:
subtract 45 to both sides
m/8 = -15
multiply by 8 on both sides.
with the fraction just multiply by the bottom number to make m by itself.
m = -15*8
m= -120
The margin of error is ±2%
<h3>What is Margin error?</h3>
A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample.
Let x be margin of error and y be the percentages of the population.
So,
y-x =33%
y +x = 37%
Solving above equations
2y= 70
y= 35%
and x= 2%
Hence, the margin of error is ±2%.
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Answer:
The graph of the equation 40.51x+12.45y=666.64 is attached with the answer where the horizontal axis represents the X axis and the vertical axis represents Y axis.
To plot the graph physically just find two points lying on the line. Mark the points on the graph sheet and then join them. This will give you the line represented by the equation.
To find points on the line assume the value of any one variable, substitute it in the equation, then solve the equation to find the value of other variable. For example : assume y = 1; substitute the value of y in the equation;
⇒ 40.51x + 12.45×1 = 666.64
⇒ 40.51x = 666.64 - 12.45
⇒ 40.51x = 654.19
⇒ x = 
⇒ x ≈ 16.149
Therefore point ( 16.149 , 1 ) lie on the graph of the equation.
***Only two points are required to plot this graph just because it represents a straight line, that we can conclude just by observing the equation. If in an equation the power of x is 1 or 0 and power of y is 1 or 0 then only it will represent a straight line in 2-D plane.***
If I read that right:
(3/5)/(-4/9) is equal to
(3/5)*(9/-4)
-27/20
-1 7/20