Use the substitution method to solve the system of equations. choose the correct ordered pair. y= -2x+11 y= -3x+21 a. (-12,-8) b.(11,-12) c. (8,-13) d. (10,-9)

D

Step-by-step explanation:

Since both equations express y in terms of x, equate the right sides

- 2x + 11 = - 3x + 21 ( add 3x to both sides )

x + 11 = 21 ( subtract 11 from both sides )

x = 10

substitute x = 10 into either of the 2 equations for y

y = - 2x + 11 = - 20 + 11 = - 9

solution is (10, - 9) → D

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step-by-step explanation:

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no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.