Answer- 120
Solution-
There are digits to be arranged,they are {3,3,2,3,4,5}. And from those ,3 digits are repeated .
so the total number of distinct number that can be formed =
=
= <em>120</em><em> </em>(ans)
Answer:
The inner function is
and the outer function is
.
The derivative of the function is
.
Step-by-step explanation:
A composite function can be written as
, where
and
are basic functions.
For the function
.
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have
inside parentheses. So
is the inner function and the outer function is
.
The chain rule says:
![\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29g%27%28x%29)
It tells us how to differentiate composite functions.
The function
is the composition,
, of
outside function: 
inside function: 
The derivative of this is computed as

The derivative of the function is
.
Answer: Option C
Step-by-step explanation:
Given the quadratic equation
, substitute
:

In this case, to find the solutions of the given quadratic equation, you must factor out the variable "x". Then:

Therefore, you get that the solutions of this equation are the following:

Then, the answer is:
This matches with the option C.
Answer:
x=-11/6, y=7/6. (-11/6, 7/6).
Step-by-step explanation:
-2x+2y=6
4x+2y=-5
-----------------
2(-2x+2y)=2(6)
4x+2y=-5
----------------------
-4x+4y=12
4x+2y=-5
----------------
6y=7
y=7/6
4x+2(7/6)=-5
4x+14/6=-5
4x=-5-14/6
4x=-30/6-14/6
4x=-44/6
x=(-44/6)/4
x=(-44/6)(1/4)
x=-44/24
simplify
x=-11/6
Answer:
d. 8
Step-by-step explanation:
Given: -3x + 2y = 1 and x = 5
Now plug x =5 in the given equation and find the value of y.
-3(5) + 2y = 1
-15 + 2y = 1
2y = 1 + 15
2y = 16
Dividing both sides by 2, we get
y = 8
Thank you.