Answer:
1?
Step-by-step explanation:
I think its one...
Answer:
.
Step-by-step explanation:
We are given function f for Aleka's amount
And function for Helene's amount
.
Now, we need to find the difference of the functions h(x) = f(x)-g(x).
Subtracting f(x) and g(x), function, we get
Distributing minus sign over second parenthesis, we get
Subtracting 
, we get 1000.
Therefore, .
Answer:
The constant of porportionality is k = 12.5; the equation that describes the relationship is y = 12.5x.
Step-by-step explanation:
When you divide the miles by the hours, it's always 12.5, meaning that k must be 12.5.
If x is the hours and k is 12.5, the equation that describes the relationship is y = 12.5x.
Answer: (3x + 11y)^2
Demonstration:
The polynomial is a perfect square trinomial, because:
1) √ [9x^2] = 3x
2) √121y^2] = 11y
3) 66xy = 2 *(3x)(11y)
Then it is factored as a square binomial, being the factored expression:
[ 3x + 11y]^2
Now you can verify working backwar, i.e expanding the parenthesis.
Remember that the expansion of a square binomial is:
- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2
=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.
The solution to this is m=-3
