Determine the ordered pair that satisfies the equation, 6x - 8y = 3.
a (6,172)
b (-9,−578)
c (6 ,−398)
d (6 , -8)

B (-9,−57/8)

Step-by-step explanation:

we know that

If a ordered pair is a solution of the linear equation, then the ordered pair must satisfy the linear equation

we have

Verify each case

Substitute the value of x and the value of y in the linear equation and then compare the results

case A) (6,17/2)

For x=6, y=17/2

Substitute

-----> is not true

therefore

The ordered pair not satisfy the equation

case B) (-9,-57/8)

For x=-9, y=-57/8

Substitute

-----> is true

therefore

The ordered pair satisfy the equation

case C) (6,-39/8)

For x=6, y=-39/8

Substitute

-----> is not true

therefore

The ordered pair not satisfy the equation

case D) (6,-8)

For x=6, y=-8

Substitute

-----> is not true

therefore

The ordered pair not satisfy the equation

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.  

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.