Answer:
120
Step-by-step explanation:
The number of ways to select things from a group of things is given by the combination formula.
Where n! means n*(n-1)*(n-2)....
- There are 10 total books, so n = 10
- you have to choose 3 books, so r = 3
Plugging these into the formula gives us:
Hence, there can be 120 different groups of 3 books that u can choose from 10 books total.
Answer:
The derivative of the function is 42.
Step-by-step explanation:
The derivative of an addition/subtraction of terms is the addition/subtraction of the derivatives of these terms.
The derivative of a constant is 0. The derivative of 3 is 0, for example.
The derivative of is . The derivative of 42x is 42, for example.
So, in this question, we have that:
h(x) = 42x-3
h'(x) = 42
So the derivative of the function is 42.
If you would like to solve 40% of 32, you can do this using the following steps:
40% of 32 = 40% * 32 = 40/100 * 32 = 0.40 * 32 = 2/5 * 32 = 12.8
The correct result would be 0.4 * 32; 2/5 * 32; 40/100 * 32.
Answer:
Look down
Step-by-step explanation:
4. 3/8
5. 1 and 107/500
Step-by-step explanation:
3)
2x + 3y = 12
Solve for y. Then you have y = mx + b, and m is the slope.
3y = -2x + 12
y = -2/3 x + 12
slope = -2/3
6x - 4y = 8
-4y = -6x + 8
y = -6/(-4) x + 8/(-4)
y = 3/2 x - 2
slope = 3/2
Since the slopes -2/3 and 3/2 are opposite reciprocals, the lines are perpendicular.
4)
3x - 4y = 12
-4y = -3x + 12
y = -3/(-4) x + 12/(-4)
y = 3/4 x - 3
slope = 3/4
4x + 3y = 15
3y = -4x + 15
y = -4/3 x + 5
slope = -4/3
Since the slopes 3/4 and -4/3 are opposite reciprocals, the lines are perpendicular.