7 |1 -8 10
X. 7. -7
1 -1 3
A remainder is 3
Answer:
To ensure uniformity on an exam
Or
To test whether you can distinguish between the two formats
Step-by-step explanation:
Standard form is when a straight line equation is rearranged in the form:
Therefore y=2x+4 in standard form is
The slope-intercept form is when a a straight line equation is written in the form:
where m is the slope and c is the y-intercept.
The given equation is
This is already in slope-intercept form:
The standard form and slope-intercept forms are just formats.
Your instructor may restrict you to leave your answer in one of these formats maybe for uniformity on a test.
You may also decide to rewrite an equation in slope-intercept form, so that you can easily identify the slope and y-intercept easily for graphing purpose.
For this case we have to write the equation of the position of each one.
We have then:
For the robber:
For the marshall
:
By the time the marshall reaches the robber we have:
From here, we clear the time.
We have then:
Answer:
it takes the marshall to catch up to the robber about 2.7 hours.
Answer:
2 bears in 2020.
Step-by-step explanation:
We have been given that a new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.
We will use exponential decay formula to solve our given problem as:
, where,
y = Final quantity,
a = Initial value,
r = Decay rate in decimal form,
x = Time
Upon substituting our given values in above formula, we will get:
, where x corresponds to year 2000.
To find the population in 2020, we will substitute in our equation as:
Therefore, 2 bears are there predicted to be in 2020.
Since population is decreasing so population is best described as exponential decay.