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Sidana [21]
2 years ago
9

The system of equations is graphed in the figure.

Mathematics
1 answer:
Scilla [17]2 years ago
3 0

Answer:  The correct answer is:  [C]:

___________________________________________

              →    " ( 3, -2) " .

___________________________________________

Explanation:

___________________________________________

By looking at the graph {provided) of the lines of the 2 (two) equations given, we see that the two (2) lines intersect at the point at which the coordinates are:   " (3, -2)" ;  that is:  where:  " x = 3;  y = - 2 " ;  (refer to "image attached");

  →  which corresponds to:

 

  →  Answer choice:  [C]: " (3, -2) " .

___________________________________________

Let us check our answer, by plugging in "3" for "x" ; and "-2" for "y" ;

  in Each of the 2 (two) equations given; to see if the equations hold true:

_____________________________________

Equation 1:

_____________________________________

  y = (-5/3)x  + 3  ;

 →  -2  =? (-5/3)*3  + 3 ?  

 →  -2  =?  -5  + 3 ? ;    -2 =? -2 ?  Yes!

_____________________________________

Equation 2:

_____________________________________

 y = (1/3)x -3 ;

→  -2 =? (1/3)*3  - 3 ? ;

→  -2 =?  1 - 3 ?  ;    -2 = ? -2 ?  Yes!

_____________________________________

Both equations hold true when:  "x = 3 ;  and y = -2 " .

_____________________________________

Refer to image attached to see where the lines of the graphs of the equations given intersect.

_____________________________________

Hope this answer is helpful to you!

  WIshing you the best!

_____________________________________

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Answer:

f(1)=70

f(n)=f(n-1)+6

Step-by-step explanation:

One is given the following function:

f(n)=64+6n

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f(1)=64+6(1)

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A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:

a_n=a_(_n_-_1_)+d

Where (a_n) is the evaluator term (a_(_n_-_1_)) represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,

a_n=a_(_n_-_1_)+d

a_n=a_(_n_-_1_)+6

f(n)=f(n-1)+6

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2 years ago
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