Answer:
Step-by-step explanation:
From the given information, we already know two points the line intersects. It states that the line has a y-intercept of 3. The y-intercept is the point at which the line intersects the y-axis. Thus, the line also intersects (0,3). (Remember that all points on the y-axis have an x-value of 0.) Now we have enough information to write an equation.
1) Find the slope of the line with the slope formula, 
. Substitute the x and y values of (-5,2) and (0,3) into the formula and solve:
So, the slope of the line is 
.
2) Now we can write the equation in slope-intercept form, represented by the formula 
. Substitute values for 
and 
in the formula.
The represents the slope, so substitute for it. The represents the y-intercept, so substitute 
for it. This gives the following answer and equation in slope-intercept form:
Answer:
-85n - 7 = -92
Step-by-step explanation:
Answer:
3.9125 × 10⁵² people
Step-by-step explanation:
A rumor starts with 3 people and the number of people who heard it doubles each day.
How many people would have heard the rumor after 20 days?
To calculate exponential growth, we use the formula:
where;
a = value at the start =3
k = growth rate = 2×3 = 6
t = time = 20 days
y(t) = value of the population at the given time (t) =??
y(t) = 3.9125 × 10⁵² people
Answer:
The rate of change of the Coyote population in 2002 is 32
Step-by-step explanation:
Given the formula for the population of a Coyotes in the Northwestern portion of Alabama, we are to calculate rate of change of the Coyote population in the year 2002 where t = 2
The formula is given as;
P(t) = (t^2 + 100) ln (t + 2)
The rate of change refers to the first integral of the formula;
Thus we need to calculate this by the use of product formula;
The first differential of t^2 + 100 is 2t
while that of ln(t + 2) is 1/(t + 2)
P’(t) = 2t(ln (t+2)) + (t^2 + 100) (1/t+2)
Now, we substitute 2 for the value of t here.
P’(2) = 2(2)( ln (2 + 2) + (2^2 + 100)(1/(2+2))
P’(2) = 4 ln 4 + 104(1/4)
P’(2) = 4ln 4 + 26
P’(2) = 5.55 + 26 = 31.55 which is approximately 32
Answer:
Event A - 1/3
Event B - 4/9
Step-by-step explanation:
Add them together 3+4+2= 9
then put them in to fractions...
