Solve for all values of x for -2|x+9|-6=-24
1 answer:
You might be interested in
Answer:
x < -4 ∪ x > 4
Step-by-step explanation:
The absolute value function is shifted down 3 units. The solution space is values of x where y = |x|-3 is greater than 1. The solution is shown in red in the attachments, and the left and right (dashed) sides of the inequality are shown in blue.
__
I personally prefer to rewrite the inequality so the comparison is to <em>zero</em>. That is done in the second attachment, which rewrites it to ...
|x| -4 > 0
by subtracting 1 from both sides. It is often easier to read the values of x-intercepts than it is to read the coordinate values where lines cross each other.
Question:
Diners frequently add a 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amount charged is $20.70? How much was the tip?
Answer:
Price of meal = $18
Tip price = $2.70
Step-by-step explanation:
Let the price of the meal be <em>y</em>;
Let the tip be <em>t</em>
<em></em>
<em>From the question;</em>
15% of <em>y </em>is the tip charge (<em>t</em>). i.e
t = 15%y
=> t = 0.15y --------(i)
<em>The total amount charged is $20.70 (This means that the sum of the price of the meal and the tip is $20.70)</em>
=> y + t = 20.70 [substitute the value of t=0.15y from equation (i)]
=> y + 0.15y = 20.70
=> 1.15y = 20.70
=> y =
=> y = $18
Therefore the price of the meal, y, is $18.
From equation (i),
t = 0.15y [substitute the value of y = $18]
t = 0.15(18)
t = $2.70
Therefore the tip was $2.70