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3 years ago

7

17. The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a

table of the input output pairs to show the cost of the phone and phone plan after 2. 12. and 24 months.

1 answer:

Mariulka [41]3 years ago

8 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

To compute a value for the table put the given "input" into the formula and do the arithmetic. Repetitive arithmetic is often easily handled by a graphing calculator or spreadsheet.

<u>Example</u>:

for n=2, C = 40·2 +210 = 80 +210 = 290

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PLease answer !!! Find constants $A$ and $B$ such that \[\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}\] for all

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Answer:

1. $(A,B) = (3,-2)$

2. The values of t are: -3, -1

Step-by-step explanation:

Given

$\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}$

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Required

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Take LCM

$\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{(x - 2)(x-1)}$

Expand the denominator

$\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - 2x + x -2}$

$\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - x -2}$

Both denominators are equal; So, they can cancel out

$x + 7 = A(x+1) + B(x-2)$

Expand the expression on the right hand side

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Collect and Group Like Terms

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$x + 7 = (A + B)x + (A - 2B)$

By Direct comparison of the left hand side with the right hand side

$(A + B)x = x$

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$A + B = 1$

Make A the subject of formula

$A = 1 - B$

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$1 - B - 2B = 7$

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Subtract 1 from both sides

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Because we're dealing with an absolute function; the possible expressions that can be derived from the above expression are;

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Make t the subject of formula

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Divide both sides by -3

$t = -1$

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