<span>If you plug in 0, you get the indeterminate form 0/0. You can, therefore, apply L'Hopital's Rule to get the limit as h approaches 0 of e^(2+h),
which is just e^2.
</span><span><span><span>[e^(<span>2+h) </span></span>− <span>e^2]/</span></span>h </span>= [<span><span><span>e^2</span>(<span>e^h</span>−1)]/</span>h
</span><span>so in the limit, as h goes to 0, you'll notice that the numerator and denominator each go to zero (e^h goes to 1, and so e^h-1 goes to zero). This means the form is 'indeterminate' (here, 0/0), so we may use L'Hoptial's rule:
</span><span>
=<span>e^2</span></span>
Answer:
1,231 people
Step-by-step explanation:
1,256 people currently subscribe. $0.25 is 5 nickels, and for every nickel the price is raised, 5 people unsubscribe. That's 1 person per cent. 25 people will unsubscribe for every $0.25 the price is raised. 1,256-25 is 1,231, so 1,231 people will continue to subscribe after the price increase.
15 / 40 = .375
total # total #
of girls of students
.375 = 37.5%
15/40 as a fraction ---> simplify ---> 3/8
Answer:
1
Step-by-step explanation:
4+(-5*-1)-8
4+5-8
9-8
pemdas
With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form:
where
is the slope and
is the y-intercept
<u>1) Solve for the slope (</u>
<u>)</u>
The equation to solve for the slope is
when the two points are
and
. Plug the coordinates of these points into the equation and solve for
.
Then, plug
into
.
<u>1) Solve for the y-intercept (</u>
<u>)</u>
Then, take any of the given points and plug it into
along with the slope. Isolate
to get the y-intercept. Then, plug both m and b back into
to get your final equation.
I hope this helps!