Answer:
x=3 or x= 1/3
Step-by-step explanation:
Let the number = x
The reciprocal of the number = 1/x
According to the given statement:
x+1/x=10/3
x²+1/x=10/3
3(x²+1)=10x
3x²+3=10x
Move 10x to the L.H.S
3x²-10x+3=0
Break the middle term:
3x²-9x-x+3=0
3x(x-3)-1(x-3)=0
(x-3)(3x-1)=0
x-3=0 , 3x-1=0
x=0+3 , 3x=0+1
x=3 , 3x=1
x=3 ,x = 1/3
So x=3 or x= 1/3 ....
Answer:
K(x) = ![\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }](https://tex.z-dn.net/?f=%5Cfrac%7B-10%7D%7B%5B1%20%2B%20%28-10x%29%5E2%5D%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D)
( curvature function)
Step-by-step explanation:
considering the Given function
F(x) = 
first Determine the value of F'(x)
F'(x) = 
F'(x) = -10x
next we Determine the value of F"(x)
F"(x) = 
F" (x) = -10
To find the curvature function we have to insert the values above into the given formula
K(x) ![= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%7Cf%22%28x%29%7C%7D%7B%5B1%20%2B%28%20f%27%28x%29%5E2%29%5D%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D)
K(x) = ( curvature function)
Answer:
Sure!
Step-by-step explanation:
Answer: 140
Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg.
Let the number of toys Oleg has = x
Let the number of toys Sasha has = y
Let the number of toys Dima has = z
Sasha had twice as many toys as Oleg
So y = 2*x= 2x
Dima had 40 more toys than Oleg.
z = x + 40
Oleg, Sasha, and Dima shared 600 toys
x + y + z= 600
We know y=2x and z=x+40
Replace it for y and z
Subtract 40 on both sides
Divide by 4 on both sides
Oleg had 140 toys
Step-by-step explanation:
