Bare with me a minute, I am still trying to figure it out. Here is what I have so far.
Answer:
Subsets of the given set = 32
Proper subset of the given set = 31
Step-by-step explanation:
Given set is {18, 8, 14, 9, 6} having 5 elements.
We know number of subsets of a set having n elements are represented by
where n is the number of elements in the set.
Therefore, subsets of the given set =
= 32
Since original set itself is a subset of its own, is not a proper subset.
Therefore, proper subset of a set =
=
= 32 - 1
= 31
(4,10).
1. There are three ways to solve this: elimination, substitution, graphing.
2. I chose elimination, so I had to get one negative variable and one positive variable of the same value (for example, 18 and -18)
-7x+2y=-8
-16x+9y=26
I chose to get 2y and 9y to equal -18y and 18y.
So, multiply the first equation by -9. Multiply the second by 2.
63x-18y=72
-32x+18y=52
the 18s cross each other out. So you're left with
63x=72
-32x=52. Add them.
31x=124, divide both sides by 31, and you'll get 4.
x=4
Plug your answer for x into one of the equations. Let's use the first one.
-7(4)+2y=-8
-28+2y=-8. add 28 to both sides.
2y=20, divide both sides by 2.
y=10.
This makes your answer (4,10)
Answer:
the equation would be f(x)= -9x+3 or y=-9x+3
Step-by-step explanation:
Answer:
8.37 x 10^-3
(Scientific Notation)
8.37 x 10^-3
(use the caret symbol [^] to type or write)
8.37E-3
(Scientific E-notation)
0.00837
(Real Number)
Step-by-step explanation:
How to convert numbers or decimals to scientific notation?
In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).