If the discriminant of a quadratic equation, given by B^2-4AC is positive, it has 2 real solutions. If 0, it has 1 real solution and if negative it has 0 real solutions.
The function g(x) is a rational function, and none of the options represent the range of the function g(x)
<h3>How to determine the range of the function?</h3>
The function is given as:
g(x) = -2/x + 1
The above function is undefined at point x = 0.
This is so because -2/x is undefined.
So, we have:
g(0) = -undefined + 1
g(0) = undefined
This means that the range of the function is:
(-infinity, 1) and (1, infinity)
None of the options represent the range of the function g(x)
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Answer:
18.75%
Step-by-step explanation:
percent increase = 
× 100%
Increase in cost = $38 - $32 = $6
percent increase = 
× 100% = 
= 18.75%
A translation 2 units to the left followed by dilation by 1/2.
The correct option is (B).
<h3>What is congruency?</h3>
It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.
The complete question is:
Which of the following composition of transformations would create an
image that is not congruent to its original image?
A rotation of 45° followed by a reflection across the x-axis
A translation 2 units to the left followed by dilation by 1/2
A reflection across the y-axis followed by a rotation of 60°
A rotation of 135º followed by a translation of 4 units to the right.
After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.
All other options are reflection and rotation, which not fit into the situation.
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