A student did an experiment to determine the number of letters recognized on an eye chart to see if it was affected by distance. What is the independent and dependent variable in this experiment?

Independent variable: distance

Dependent variable: number of letters recognized on an eye chart

Step-by-step explanation:

Independent variables are stand-alone. This means that it does not depend on another variable but affects the dependent variable.

Dependent variables are dependent on another variable. When the independent variable changes, dependent variables are changed.

Since the hypothesis is that the distance affects the number of letters recognized,

the distance causes a change in the number of letters recognized not the other way around.

Thus, the dependent variable is the number of letters recognized on the eye chart while the independent variable is the distance.

x and y

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up

step-by-step explanation:

the orientation of the parabolas can easily be found by analysing the power of x and y and their signs. if x is squared , parabola opens up and also if its coefficient is negative it opens down. if y is squared , the parabola opens right and also if its coefficient is negative it opens left. however in order to do the above analysis our equation must be in standard form .

our parabola is

which is not standard form of any parabola . hence we square on both hand side and convert it into standard form.

hence we see that x is squared and its coefficient is non negative . there for it opens up.

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.