|4x + 4| = 15
First, let's get rid of the absolute value signs to get the first solution.
4x + 4 = 15
Subtract 4 from both sides
4x = 11
Divide each side by 4
x = 11/4 or 2.75
Now, let's get the solution by changing 15 to -15.
4x + 4 = -15
Subtract 4 from both sides
4x = -19
Divide both sides by 4
x = -19/4 or -4.75
<h3>The projected amount the average American spent on health care in 2014 is $ 10075.91</h3>
<em><u>Solution:</u></em>
Given that,
The average American spent $8,508 on health care in 2011
The cost of health care is projected to rise about 5.8% per year for the years 2012-2022
<em><u>The increasing function is given as:</u></em>

Where,
y is future value
a is initial value
r is growth rate in decimal
t is number of years
From given,
a = 8508

t = 2011 to 2014 = 3 years
<em><u>Substituting the values, we get,</u></em>

Thus the projected amount the average American spent on health care in 2014 is $ 10075.91
Answer:
Parallel line: - 1/2
Perpendicular line: 2
Step-by-step explanation:
area of rectangle= 8*13=104m^2
base of the Triangle= 13 -(4+4)=5
area of Triangle = 5*6/2=15m^2
area of shaded shape =104-15= 89m^2
Answer:
The the equation of the line through the points (8, -2) and (5, 5) in slope-intercept form is

Step-by-step explanation:
Let's start by calculation the slope of the line by finding the slope of the segment that joins the two given points (8, -2) and (5, 5):

Now we use this slope in the general slope-intercept form of a line;

and then we calculate the value of the intercept "b" by using one of the given points through which the line must pass (for example (5,5) ), and solving for b:

The the equation of the line is
