Answer:
-69/200
Step-by-step explanation:
-0.345 is in decimal form.
In Fractional form (p/q)
=-345/1000
To simplify, divide the numerator and the denominator by the G.C.D(Greatest Common Divisor) of p and q.
In this case,G.C.D of 345 and 1000 is 5.
Simplified form=-69/200 [ANS]
You work it backwards.
-- If there were 4 children and each child got 4 pieces,
then the children got (4 x 4) = 16 pieces altogether.
-- That's what was left after he took 2 pieces for himself.
So he started with (16 + 2) = <em>18 pieces</em>.
9 is the answer for that problem
Derivative Functions
The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.
Definition:
let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of x such that the following limit exists:
![f'(x)= \lim_\\ \ \\ \frac{f(x+h)-f(x)}{h} {h \to 0}](https://tex.z-dn.net/?f=f%27%28x%29%3D%20%5Clim_%5C%5C%20%5C%20%5C%5C%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%20%7Bh%20%5Cto%200%7D)
This is a linear equation in x.
So you need to group like terms
![1 + 4x = - 5 + 7x](https://tex.z-dn.net/?f=1%20%2B%204x%20%3D%20%20-%205%20%2B%207x)
Let us group the x terms on the Right Hand Side of the equation and the constant terms on the Left Hand Side.
![1 + 5 = 7x - 4x](https://tex.z-dn.net/?f=1%20%2B%205%20%3D%207x%20-%204x)
We can now simplify
![6 = 3x](https://tex.z-dn.net/?f=6%20%3D%203x)
Now let us divide both sides by 3.
![\frac{6}{3} = \frac{3x}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7B3x%7D%7B3%7D%20)
This implies that
![2 = x](https://tex.z-dn.net/?f=2%20%3D%20x)
or
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
Let us our answer
![1 + 4(2) = - 5 + 7(2)](https://tex.z-dn.net/?f=1%20%2B%204%282%29%20%3D%20%20-%205%20%20%2B%207%282%29)
![1 + 8 = - 5 + 14](https://tex.z-dn.net/?f=1%20%2B%208%20%3D%20%20-%205%20%2B%2014)
![9 = 9](https://tex.z-dn.net/?f=9%20%3D%209)
Good we are right