Answer:
The resultant expression would be 22 - 12x
Step-by-step explanation:
Let x be the unknown number,
Six plus four times a number = 6 + 4x
Four times four minus four times the number number = 4(4 - 4x)
Thus, Six plus four times the number plus four times four minus four times the number number = 6 + 4x + 4(4 - 4x)
Using distributive property,
6 + 4x + 16 - 16x
Combining like terms,
22 - 12x
Answer:
I would have to go with x = 8 and y = 5, meaning the solution is (8, 5).
Step-by-step explanation:




Answer:
48.49 feet
Step-by-step explanation:
The diagrammatic sketch of the information provided in the question was attached in the image below.
From the image below, the distance between the two kites is denoted by (c) and can be determined by using the cosine angle rule which is expressed as:

where;
a = 110
b = 104
Cos C = 26°
Then;

Vertical reflection over the x-axis, shrink of 1/3, right 3, up 2
A stock portfolio's overall beta is found by multiplying each stock's beta times the percentage of the overall portfolio it makes up and adding these terms together. Since the current portfolio's beta is known, we can treat all the stocks in the portfolio as a single stock for calculating its weight in the new portfolio. Thus, our new portfolio will have a value of $150,000, $100,000, or 2/3, of which has a beta of 1.5 and $50,000, or 1/3, of which has a beta of 3. Then the beta of the new portfolio will be 1.5*(2/3) + 3*(1/3) = 2.