3 years ago

Help on this question plz!

Mathematics

1 answer:

Shalnov [3]3 years ago

6 0

It would be j because you would subtract 25 because he sold 25 pieces then divide by 40 to find the number of piles

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If a rug is 6 feet wide by 8 feet long and suki makes a diagram that is 1 1/3 feet long how many inches should its width be

soldier1979 [14.2K]

The length in the diagram is 4/3 feet.
(4/3)/8=w/6 where w is the width.
So 4/(3×8)=w/6.
1/6=w/6 so w=1 foot or 12 inches.

4 0

3 years ago

What is the domain and derivative of f(x)=ln(2xsqrt(2+x))?

harkovskaia [24]

Domain is the numbers yo can use
we has a sqrt and a ln
we cant have any neagtive ln's or sqrts
x cannot be negative
it cannot be 0 either
domain is all numbers bigger than 0

deritivive
apply chain rule
dy/dx(f(g(x))=f'(g(x))g'(x)
and also
dy/dx (lnx)=1/x
and
dy/dx(f(x)g(x))=f'(x)g(x)+g'(x)f(x)
and from experience
dy/dx(sqrtx)=1/(2√x)

so

dy/dx(ln(2xsqrt(2+x)))=
(1/(2xsqrt(2+x))(2)(sqrt(2+x)+(x/(2sqrt(2+x))=
(3x+4)/(2x(x+2))

domain is all real numbers greater than 0
derivitive is $\frac{3x+4}{2x(x+2)}$