Answer:
<h3> <u>Y</u><u>E</u><u>S</u><u> </u></h3>
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Proportional Relationships
A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:
y=kx
for some constant k , called the constant of proportionality .
(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .")
This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.
The graph of the proportional relationship equation is a straight line through the origin.
Answer:
Explanation:
This is an exponential growing: there is a constant growing<em> factor </em>which multiplies the value number of letters sent every week.
The growing factor <em>4 letters every 9.1 weeks</em> means that every 9.1 weeks the number of letters is multiplied by 4.
Then, if the number of weeks is t, the number of times the number of letters increase is t/9.1.
Then, the exponential<em> function</em> <em>that models the number of people who receive the email t weeks since Tobias initially sent the chain letter</em>, has the form:
<em>Tobias initially sent the chain letter to 37 friends</em>; thus, the initial value is 37, and the complete function is:
, where t is the number of weeks since Tobias initially sent the chain letter.
Answer:
Find the measures of each angle.
When angles are complementary, the sum of their measures is 90 degrees. Two complementary angles have measures of 2x-10 degrees and 3x-10degrees.
This is an enlarged dilation
