A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is: f(x) = x + 30. How will the graph of this function change if the coal car weight is changed to 26 tons?

The new graph will be lower than the original.

Step-by-step explanation:

Currently, looking at the equation of the total weight, we have f(x) = x + 30.

This equation is in the form y = mx + b, where m is the slope and b is the y-intercept (the place where the line crosses the y-axis). Here, 30 is the y-intercept. See first attachment.

However, if we change 30 to 26, we get the new equation g(x) = x + 26. Since 26 < 30, the y-intercept will be lower and the whole graph will be lower. See second attachment.

Thus, the new graph will be lower than the original.

~ an aesthetics lover

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq