Answer:
slope = -2
Step-by-step explanation:
Slope =
3/2 = (9/10)k
Isolate the k. Multiply 10/9 to both sides
(3/2)(10/9) = (9/10)(10/9)k
Simplify
(3/2)(10/9) = k
3/9 = 1/3
10/2 = 5
5 x 1/3 = 5/3
k = 5/3, or 1 2/3
hope this helps
Answer:
infinite solutions
Step-by-step explanation:
The coefficient of x in the first equation is 3 times the coefficient of x in the second equation. This means we can eliminate x by subtracting 3 times the second equation from the first:
(15x +12y) -3(5x +4y) = (18) -3(6)
0 = 0 . . . . . simplify (true for all values of x or y)
The system of equations has an infinite number of solutions.
Given:
The expression is:
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
Using the distributive property, we get
Taking LCM, we get
Therefore, the expression is equivalent to the given expression expression.
Note: There are more than one equivalent expressions.
Answer:
Step-by-step explanation:
Assuming the decay factor, m = 0.0005
f(x) =
f(9000) = = 1 - 0.0111 = 0.99