CPhill

HA !!! .....that IS pretty funny......you and I were jousting at non-existent windmills (created by me, mostly)!!

I ALWAYS get in trouble when I start "assuming" things!!

I think we should wipe away our answers and pretend that it all never happened!!!

Sorry...I typed in 14362 instead of 14632 !!  My bad.......

Note, that I said that "if" T ≥ 0......I realize that might not be the case.

Yeah....I think you're correct about the "negative" velocity thing...I hadn't considered that. I suppose we would have to know what the graph was intended to show......does the object stop and not move again, or does it stop and reverse course?? (Which would have to be the case if we were considering "negative" velocities.)

Since it's not stated, I'll have to assume the general case and that your answer is the better one........

Maybe you meant this:

e^(-.2) x  - e^(-.75) x  = .25 ??

I'm going to assume so......So we have

0.8187307530779818 x - 0.4723665527410147 x = .25

0.3463642003369671 x = .25        So x = .25 / 0.3463642003369671 = 0.7217836016446927047

I don't see any question here....

In countries utilizing the "long scale," (Great Britain, most of continental Europe and Latin America) it has 18.

In countries utilizing the "short scale," (U.S. and Arabic-speaking countries) it has 12.

As they say on TV, consult your local listings........

This is just a linear function that has a slope of -1504 and a y intercept of 14362

It's domain and range are the same..... (-∞, ∞)  

In other words, all "Xs" and "Ys" are covered by this function

P.S. - This looks like a velocity function with a constant deceleration.

If T has to be ≥ 0,  then the domain is [0, ≈9.55] - since a "negative" velocity doesn't make sense, and the range would be [0, 14362] - In effect, the object stops after about 9.55 seconds, hours or whatever.

OK......  We have

Area =L x W = 72     and Perimeter = 2(L + W) = 36

Working with the Perimeter and dividing by 2 on each side...... we have

(L + W ) = 18    Now, subtract W from both sides......we have

L = 18 - W       And substituting for L in the area equation, we have

(18- W) x W = 72    or   18W - W² = 72    ... Add  W² to both sides and subtract 18W from both sides

This gives       0 = W² - 18W + 72

And factoring the right side we have 0 = (W-6) (W-12)

And setting each factor to 0 we get W = 6 or W = 12

So, depending on your orientation, either [W = 6ft and  L = (18 - 6) =12ft] or [W = 12ft and L = (18 - 12) = 6ft]

Either way, the garden is 6ft by 12ft

If it's on sale with a 15% discount off the original price, then the sale price must just be 85% of the original price.

So 85% x 210 = $178.50

Here you go......

The x intercept is (-6,0) and the y intercept is (0,6)