9514 1404 393
Answer:
-13/11
Step-by-step explanation:
Straightforward evaluation of the expression at x=1 gives (1 -1)/(1 -1) = 0/0, an indeterminate form. So, L'Hopital's rule applies. The ratio of derivatives is ...
![\displaystyle\lim_{x\to 1}\dfrac{n}{d}=\dfrac{n'}{d'}=\left.\dfrac{\dfrac{4}{3\sqrt[3]{4x-3}}-\dfrac{7}{2\sqrt{7x-6}}}{\dfrac{5}{2\sqrt{5x-4}}-\dfrac{2}{3\sqrt[3]{2x-1}}}\right|_{x=1}=\dfrac{4/3-7/2}{5/2-2/3}=\dfrac{8-21}{15-4}\\\\=\boxed{-\dfrac{13}{11}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto%201%7D%5Cdfrac%7Bn%7D%7Bd%7D%3D%5Cdfrac%7Bn%27%7D%7Bd%27%7D%3D%5Cleft.%5Cdfrac%7B%5Cdfrac%7B4%7D%7B3%5Csqrt%5B3%5D%7B4x-3%7D%7D-%5Cdfrac%7B7%7D%7B2%5Csqrt%7B7x-6%7D%7D%7D%7B%5Cdfrac%7B5%7D%7B2%5Csqrt%7B5x-4%7D%7D-%5Cdfrac%7B2%7D%7B3%5Csqrt%5B3%5D%7B2x-1%7D%7D%7D%5Cright%7C_%7Bx%3D1%7D%3D%5Cdfrac%7B4%2F3-7%2F2%7D%7B5%2F2-2%2F3%7D%3D%5Cdfrac%7B8-21%7D%7B15-4%7D%5C%5C%5C%5C%3D%5Cboxed%7B-%5Cdfrac%7B13%7D%7B11%7D%7D)
Answer:
73
Step-by-step explanation:
6x+25=10x-11
-4x=-36
x=8
6(8)+25
48+25=73
I am not sure on this one but hope I helped
<em>To get all possible permutations of these five spaces, we just multiply these numbers (that is, 8∗7∗6∗5∗4=6,720)</em>
<em>There are 6,720 five digit numbers that can be formed from the digits provided given that no digit may be repeated.</em>
<em>Hope that helped!</em>
Step-by-step explanation:
you have the formula and the numbers. just calculate !
cost of membership
y = 100 - 0.02x
a)
for x = 2600
y = 100 - 0.02×2600 = 100 - 52 = $48
b)
the reduction element of the cost of membership is the
"- 0.02x" part.
we want to refuse the membership costs by $41, so
0.02x = 41
x = 41/0.02 = $2,050
c)
the same as b)
just now the membership costs need to be reduced to 0.
so, that means we need to reduce by $100 !
0.02x = 100
x = 100/0.02 = $5,000
Answer:
x = 40
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Consider the triangle on the left and calculate the third angle
Subtract the sum of the 2 angles from 180
third angle = 180° - (75 + 50)° = 180° - 125° = 55°
Consider the triangle on the right
The third angle = 55° ( vertical angles )
Subtract the sum of the 2 angles from 180
x = 180 - (55 + 85) = 180 - 140 = 40
