What is 0.1 repeating as a fraction

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Short Cut That My Teacher Taught Me :)

0.1 repeating has 1 digit repeating after the decimal point, so there is one digit in the denominator. Put the repeating digit in the numerator place. That's your answer. You can do the same to any repeating decimal: 2 digits after the point has 99 as the denominator, 3 digits is the repeating number over 99, and so on. 

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this