There are 120 6-digit numbers that can be formed
<h3>How to determine the combination of digits?</h3>
The digits are given as:
0,1,3,5,7 and 9
Since the number must be divisible by 10.
Then the number must end in 0
The other 5 digits can take any of the 0,1,3,5,7.
So, the number of combination is:
Count = 5! * 1
Expand
Count = 5 * 4 * 3 *2 * 1 * 1
Evaluate
Count = 120
Hence, there are 120 6-digit numbers that can be formed
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Answer:
tan C = 1/2
Step-by-step explanation:
The tan function in a right triangle is the opposite side over the adjacent side
tan C = 11/22
We can divide the top and bottom by 11
tan C = 1/2
f (x ) = 2 x + 5
For g (x) we will solve the system:
- 1 =-2 m + b
+
-9 = 2 m + b
----------------------
-10 = 2 b, b = -5
-9 = 2 m - 5
2 m = -4
m = -2
g ( x ) = - 2 x - 5
For h (X):
m = (-1-5 ) / ( 3-0 ) = -6/3 = -2
5 = 0 + b, b = 5
h ( x) = - 2 x + 5.
Now we have 4 linear functions:
1 ) f ( x ) = 2 x + 5
The slope is m = 2, y - intercept: y = 5 , zero: x = -2.5 and the function increases ( m > 0 ).
2 ) g(x) = - 2 x - 5
The slope is m = - 2, y-intercept: y =-5 , zero: x = -2.5 and the function decreases ( m < 0 ).
3 ) h ( x ) = - 2 x + 5
The slope is m = - 2, y - intercept . y = 5, zero: x = 2.5 and the function decreases.
4 ) j (x) = 2 x + 5
The slope is m = 2, y -intercept: y = 5, zero: x = -2.5 and the function decreases.
The functions f( x ) and j ( x ) are parallel and also g( x ) and h ( x ). They have the same slope.
The functions f ( x ) and j (x ) are increasing and h ( x ) and h ( x ) are decreasing.
