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nerissa5
29.06.2019 •
Mathematics
Afruit stand has to decide what to charge for their produce. they need $5.30/$5.30 for 11 apple and 11 orange. they also need $7.30/$7.30 for 11 apple and 22 oranges. we put this information into a system of linear equations. can we find a unique price for an apple and an orange?
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Ответ:
Yes, we can find a unique price for an apple and an orange.
Step-by-step explanation:
Let x be the price of one apple and y be the price of one orange.
We have been given that a fruit stand has to decide what to charge for their produce. They need $5.30 for 1 apple and 1 orange.
We can represent this information in an equation as:
They also need $7.30 for 1 apple and 2 oranges.
Upon substituting our given information we formed a system of equations. Let us see if this system is solvable or not.
For a unique solution
, where
and
are constant of x and y variables of 1st equation respectively.
and
are constant of x and y variables of 2nd equation respectively.
Let us check our system of equations for unique solution.
We can clearly see that 1 is not equal to half, therefore, we can find a unique price for an apple and orange using our system of equations.
Upon subtracting our 1st equation from 2nd equation we will get,
Therefore, price of one orange is $2.
Upon substituting y=2 in equation 1 we will get,
Therefore, price of one apple is $3.30.
Ответ:
Translations are transformations that change the position of the graph of a function. The general shape of the graph of a function is moved up, down, to the right or to the left. The translations are considered rigid transformations.
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
We have then:
f (x) = 2 ^ x
g (x) = f (x) + k
if k = 2
then,
the graph of g (x) is shifted vertically 2 units up