A researcher has participants choose between three advertisements. She finds that 54 prefer Ad A, 86 prefer Ad B, and 60 prefer
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Answer:
Step-by-step explanation:
we would like to solve the following equation for x:
to do so isolate to right hand side and change its sign which yields:
simplify Substraction:
get rid of only x:
simplify addition of the left hand side:
divide both sides by q+p Which yields:
cross multiplication:
distribute:
isolate -pq to the left hand side and change its sign:
rearrange it to standard form:
now notice we end up with a <u>quadratic</u><u> equation</u> therefore to solve so we can consider <u>factoring</u><u> </u><u>method</u><u> </u><u> </u>to use so
factor out x:
factor out q:
group:
by <em>Zero</em><em> product</em><em> </em><em>property</em> we obtain:
cancel out p from the first equation and q from the second equation which yields:
and we are done!