It would be d
because -5•-2=10
and 10+3=13
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Define adult and student tickets
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Let the number of adult tickets be x
Adult tickets = x
Student tickets = x + 69
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Form equation and solve for x
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x + x + 69 = 569
2x + 69 = 569 ← Combine like terms
2x = 569 - 69 ← Subtract 69 from both sides
2x = 500
x = 250 ← Divide by 2 to find x
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Find the number of adult tickets and student tickets
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Adult tickets = x = 250
Student tickets = x + 69 = 319
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Answer: Adult tickets = 250 ; Student tickets = 319
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Therefore the equation of the line in function-form is f(x)=-2x-1
An equation of a line on the cartesian plane is given by y=mx+c. Here m denotes the slope of the line and c denotes the y-intercept.
Slope of a line is defined as the inclination of the line along the positive x- axis . Slope is calculated by the formula
where
and
are two points on the line.
y-intercept is defined as the point where the line passes through the y-axis.
From the graph we can see that the line passes through (0,-1)and (-1,1)
therefore slope of the line is

Now we know that the equation of a line passing through a point
and with slope m is given by

Substituting the values in the equation we get
y-(-1)=-2(x-0)
or, y=-1-2x
Therefore the equation of the line in function-form is f(x)=-2x-1 .Hence the second option is correct.
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The domain of h(x) = f(x) /g(x) will be all real numbers without -6 because for -6 will result the denominator equal zero and hence this fraction will be undefined