Answer:
The solutions are x = 1.24 and x = -3.24
Step-by-step explanation:
Hi there!
First, let´s write the equation:
log[(x² + 2x -3)⁴] = 0
Apply the logarithm property: log(xᵃ) = a log(x)
4 log[(x² + 2x -3)⁴] = 0
Divide by 4 both sides
log(x² + 2x -3) = 0
if log(x² + 2x -3) = 0, then x² + 2x -3 = 1 because only log 1 = 0
x² + 2x -3 = 1
Subtract 1 at both sides of the equation
x² + 2x -4 = 0
Using the quadratic formula let´s solve this quadratic equation:
a = 1
b = 2
c = -4
x = [-b± √(b² - 4ac)]/2a
x = [-2 + √(4 - 4(-4)·1)]/2 = 1.24
and
x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24
The solutions are x = 1.24 and x = -3.24
Have a nice day!
Area is the length times the width.
When you know the area and one of the dimensions, divide the area by the known dimension to find the other one.
133 / 11 = 12.09
The room needs to be at least 12.09 feet wide. ( round answer if needed).
Answer:
UNITED STATES ITALY DEM. REP. CONGO
Population mid-2008 305 million 60 million 67 million
Population 2050 (projected) 438 million 62 million 189 million
Lifetime births per woman 2.1 1.3 6.5
Percent of population below age 15 20% 14% 47%
Percent of population ages 65+ 13% 20% 3%
Life expectancy at birth 78 years 81 years 53 years
Annual births 4.3 million 568,120 2.9 million
Annual deaths 2.4 million 575,300 0.8 million
Annual births minus deaths 1.9 million -7,200 2.1 million
Percent of population undernourished <2.5% <2.5% 74% hope this helps!
Answer:
There are 8 people on the train.
Step-by-step explanation:
20 - 15 = 5
5 + 3 = 8
