There are keywords that can be replaced by mathematical expressions without exception. Let me rewrite the phrase. "the distance to Georgia (Dg) is (=) 1/2 of (*) the distance to Tennessee (Dt)." I am using the variable Dg to be the distance to Georgia and Dt to be the distance to Tennessee...

Start by getting 2 on the other side.
y'''(t) = 2, take the integral of both sides and you get,
y''(t) = 2t + a. "a" is just a constant. Do the next integral,
y'(t) = t^2 + a*t + b. Take the final integral
y(t) = 1/3*t^3 + a/2*t^2 + b*t +...

The definition of a y intercept is the location where x = 0. I think the problem was trying to be misleading. The standard equation of a line is y=mx + b where m is the slope and b is the y intercept. One quick glance and you may see the 7 and assume that this the y intercept. However, when...

The trick is to not get caught up in the expression x-1 view it as a number. If the equation said f(3), then wherever you see the x you replace it with the number 3. So f(3) = (3)^2 -5. Now replace the 3 with x-1.
Let me know if this helps.

You are going to use the equation y = m*x + b. Where m is the slope of the line and b is the y-intercept.
The first thing to do is determine the slope of your new line. The hint is the slope of the new line is perpendicular to the given line. The given slope is 3. A perpendicular slope is...