Number of proper subsets = 2^number of elements- 1
= 2^n - 1
No of elements = 4
2^4-1 = 16-1 = 15
Answer:

Step-by-step explanation:
To solve problems like this, we need to multiply the base ,
, the amount of times as the exponent, 4.
Essentially, the equation is
x
x
x
.
The product would be
.
Now we can't forget that the exponent is a negative. But because the exponent is an even number, we don't need to worry about that.
Hope this helped :)
Answer: (24,-9)
(0,9)
(4,6)
Step-by-step explanation:
3x + 4y = 36
Using (3,-2) will be:
= 3(3) + 4(-2)
= 9 - 8 = 1
Using (1,7) will be
= 3(1) + 4(7)
= 3 + 28 = 31
Using (0,0) equals to 0
Using (24,-9) will be:
= 3(24) +4( -9)
= 72 - 36 = 36
Using (0,9) will be:
= 3(0) + 4(9)
= 0 + 36 = 36
Using (4,6) will be:
3(4) + 4(6)
= 12 + 24
= 36
Using (-12,18) will be:
= 3(-12) + 4(-18)
= -36 - 72
= -108
The correct options are (24,-9), (0,9 and (4,6)
Answer:
tHe can discuss intelligently the current political affairs. Television is a machine that ought to be used intelligently. It is necessary to think intelligently before performing any action.
Step-by-step explanation:
Answer:
A) The model exists: f(x) = -3x^2 +4x -4
Step-by-step explanation:
A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.
Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.
The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...
f(x) = -3x^2 +4x -4