Answer:
The simplified expression for the given expression will be:
c. 
Step-by-step explanation:
Given expression:
To simplify the expression.
Solution:
In order to simplify the expression, we will first remove the parenthesis by reversing the signs of the terms inside the parenthesis which lies after a negative sign out side the parenthesis.
<em>This is because negative multiplies to a negative to give a positive and negative multiplies to a positive to give a negative.</em>
So, we have:
⇒ 
Combining like terms
⇒ 
<em>The like terms can be evaluated as</em>
Thus, the simplified expression will be:
⇒
Answer: Yes
Step-by-step explanation:
When using the distributive property, 6(2x + 4) becomes 12x + 24
6 * 2x = 12x and 6 * 4 = 24
12x + 24 = 12x + 24
Therefore, the expressions are equivalent.
Answer:
You stopped at 2y-4=12
If we add same number to both sides the equation will remain true. For example if we have 5=5, and we add 7 to both sides, we get 12=12 which is also true. Now let's do this with our equation. Add 4 to both sides(to have only y on the left side). We get 2y=16, hence y=8.
Answer. 2y=16
Answer: Margin of Error = 1.944
Lower Bound = 3.052
Explanation:-
Attached below is a file for monthly Rate of return. Used an excel sheet to determine the confidence interval which seems relatively easier as compared to manual computation. The range below (A2:A40) shows the monthly
Functions used : Standard Deviation as= STDEV (A2:A40)
Sample Mean = AVERAGE(A2:A40)
Margin of Error = CONFIDENCE.T(D4,D5,D2)
Lower Bound Interval = D6-D7 = -3.052
Turn both equations into slope-intercept form [ y = mx + b ].
x + 3y = 3
~Subtract x to both sides
3y = 3 - x
~Divide 3 to everything
y = 1 - x/3
~Reorder
y = -1/3x + 1
4x + 3y = -6
~Subtract 4x to both sides
3y = -6 - 4x
~Divide 3 to everything
y = -2 - 4x/3
~Reorder
y = -4/3x - 2
Graph of the equations will be shown below. Note that the solution of graphing two equations will be where both equations intersect. Both lines intersect at (-3, 2), hence making that the solution.
Best of Luck!
