An exercise ball, also known as a yoga ball, is a ball constructed of soft elastic with a diameter of approximately 35 to 85 centimeters (14 to 34 inches) and filled with air. The air pressure is changed by removing a valve stem and either filling with air or letting the ball deflate. It is most often used in physical therapy, athletic training and exercise. It can also be used for weight training. The ball, while often referred to as a Swiss ball, is also known by a number of different names, including balance ball, birth ball, body ball, ball, fitness ball, gym ball, gymnastic ball, physio ball, pilates ball, naval mine, Pezzi ball, stability ball, Swedish ball, or therapy ball.
$605 / $55 = 11
She will have to sell 11 rings to earn $605.
C) $55 x w = $605
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Remember that an extraneous solution of an equation is a solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation.
First, we are going to solve our equation algebraically:
Step 1 simplify the equation:
Step 2 subtract 5 from both sides of the equation:
Step 3 square both sides of the equation:
Next, we are going to replace our solution in our original equation and check if it is a valid solution:
Since 9 is not equal to 1, is not valid solution of the equation; therefor it is an extraneous solution.
We can conclude that the correct answer is: x = 16, solution is extraneous
Answer:
The domain of f(x) corresponds to the set of real numbers.
D f(x) ∈ ∀X; D f(x) ∈ R
Step-by-step explanation:
f(x)=X+18-3X-15
f(x)=-2X+3 (right line with negative slope)
This function exists for all values of X, so the domain corresponds to the set of real numbers.
D f(x) ∈ ∀X; D f(x) ∈ R
For these lines, let
.
And for these, let
.
Now,
The vertices of
in the x-y plane are (0, 2), (2/3, 10/3), (2, 2), and (4/3, 2/3). Applying
to each of these yields, respectively, (2, 2), (2, 4), (-2, 4), and (-2, 2), which are the vertices of a rectangle whose sides are parallel to the u-v plane.
