Option C: The solution is
Explanation:
The given expression is
We need to solution of the given expression.
The solution of the given expression can be determined by adding the two expressions.
Let us remove the parenthesis.
Thus, we have,
Adding the like terms, we have,
Thus, the solution is
Hence, Option C is the correct answer.
Let
x------> height of Leon's older brother
y------> height of Leon
Convert mixed number to an improper fraction
we know that
-----> equation A
-----> equation B
substitute equation A in equation B
Convert to mixed number
therefore
<u>the answer is</u>
A. First let us start with the linear model.
The equation is in the form of y = m x + b
Calculating for the slope m:
m = (309,587 – 50,000) / (2007 – 1997)
m = 25,958.7
Subsituting:
y = 25,958.7 x + b
Taking x = 1997, y = 50,000. Solve for b:
50,000 = 25,958.7 (1997) + b
b = -51,789,523.9
The complete equation is therefore:
y = 25,958.7 x - 51,789,523.9
B. The exponential model has the following form:
y = a b^x
where a and b are constants
Taking x1= 1997, y1 = 50,000; x2 = 2007, y2 = 309,587
50,000 = a b^1997
309,587 = a b^2007
Combining in terms of a:
50,000 / b^1997 = 309,587 / b^2007
b^2007 / b^1997 = 309,587 / 50,000
b^10 = 6.19174
b = 1.2
Substituting:
y = a 1.2^x
Solving for a:
50,000 = a 1.2^1997
a = 3.75 x 10^-154
The complete equation is:
y = 3.75 x 10^-154 * 1.2^x
<u>Answer:</u>
D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11
<u>Step-by-step explanation:</u>
We are given the following two expressions:
and
Now if we look at the option D) and
, we can observe that the earlier part in the given expression is just a simplification of 6x^2 - 8y^2 = 50.
and the later part is already the same.
Therefore, the correct answer option is D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11.