Solve for x over the real numbers:2 x^2 - 3 x - 2 = x + 4
Subtract x + 4 from both sides:2 x^2 - 4 x - 6 = 0
The left hand side factors into a product with three terms:2 (x - 3) (x + 1) = 0
Divide both sides by 2:(x - 3) (x + 1) = 0
Split into two equations:x - 3 = 0 or x + 1 = 0
Add 3 to both sides:x = 3 or x + 1 = 0
Subtract 1 from both sides:Answer: x = 3 or x = -1
The radius of the water bottle to the nearest hundredth is 2.01 cm
<h3>How to calculate the volume of a cylinder</h3>
A cylinder is a solid figure with circular bases and height.
The volume of a cylinder = πr²h
h is the height = 8.1cm
Volume = 103 cubic cm
Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²
r = 2.01 cm
Hence the radius of the water bottle to the nearest hundredth is 2.01 cm
Learn more on volume of cylinder here: brainly.com/question/9554871
It is x=2 because 12 into 4 is 3 so 6 into 3 is 2
1/8 the fraction?
two eighths = 2/8=1/4
Answer:
The slope is -1/2
Step-by-step explanation:
Hope this helps (:
