The solution to the inequality is x > 3
The number line that represent the solution set will be:
<em>A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right</em>. The correct option is the second option
<h3>Linear Inequalities </h3>
From the question, we are to determine the number line that represents the solution set for the given inequality
The given inequality is
3(8 – 4x) < 6(x – 5)
First, we will solve the inequality
3(8 – 4x) < 6(x – 5)
Clear the brackets
24 - 12x < 6x - 30
Collect like terms
24 + 30 < 6x + 12x
54 < 18x
Divide both sides by 18
3 < x
∴ x > 3
Hence, the number line that represent the solution set will be:
<em>A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right</em>. The correct option is the second option
Learn more on Linear inequalities here: brainly.com/question/28003708
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C. $360
$224x4=896 (total profit)
$896 (total) - $536 (first month profit) = $360 (second month profit)
Answer:
(a) Circle Q is 9.4 units to the center of circle P
(b) Circle Q has a smaller radius
Step-by-step explanation:
Given
Solving (a): The distance between both
The equation of a circle is:
Where
P and Q can be rewritten as:
So, for P:
For Q:
The distance between them is:
Where:
--- 
--- 
So:
Solving (b): The radius;
In (a), we have:
--- circle P
--- circle Q
By comparison
<em>Hence, circle Q has a smaller radius</em>
Answer:
-11
Step-by-step explanation:
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