Answer:
a=0, b=16, of the pair (0,16)
Step-by-step explanation:
You want to prove the following: There are real numbers a and b such that
So, to prove this, it is enough to find a pair (a,b) of real numbers for which the equation holds true. There are infinite of such pairs, but one example is (0,16). Indeed:
In fact, (0,m) or (n,0) ara valid pairs, for nonnegative numbers m,n. Even more is true; these are the only pairs which satisfy the equation.
Answer:
Step-by-step explanation:
<u>Linear equations </u>
Some situations can be easily modeled as a linear function. If L and t have a relation modeled by the equation of a line, then
Where m is the slope or rate of change of the line, and b is the y-intercept.
Bella will pay her friend back $10 per week. It gives us how fast the payments will be done over time. The conditions of the problem tell us that when time grows, Bella will own less to her friend. That gives us a negative rate of change, i.e. m=-10
If L(t) is the amount Bella owes her friend after t weeks, we have.
We need to determine the value of b. It will be done by using the condition stated in the question: after 9 weeks, Bella still owed her friend $70. It means that