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Answers by Michael K.

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.