Answer:
n=150+20m
Step-by-step explanation:
we don't know how many months they're charging for, so we don't know the total of the amount.
Answer:
(a) y = -3/5 x + 13/5
(b) y = 5/3 x + 1/3
Step-by-step explanation:
(a) The slope of the tangent line is dy/dx. Use implicit differentiation:
x² + y² + 4x + 6y − 21 = 0
2x + 2y dy/dx + 4 + 6 dy/x = 0
2x + 4 + (2y + 6) dy/dx = 0
x + 2 + (y + 3) dy/dx = 0
(y + 3) dy/dx = -(x + 2)
dy/dx = -(x + 2) / (y + 3)
At the point (1, 2), the slope is:
dy/dx = -(1 + 2) / (2 + 3)
dy/dx = -3/5
Using point-slope form of a line:
y − 2 = -3/5 (x − 1)
Simplifying to slope-intercept form:
y − 2 = -3/5 x + 3/5
y = -3/5 x + 13/5
(b) The normal line is perpendicular to the tangent line, so its slope is 5/3. It also passes through the point (1, 2), so point-slope form of the line is:
y − 2 = 5/3 (x − 1)
Simplifying to slope-intercept form:
y − 2 = 5/3 x − 5/3
y = 5/3 x + 1/3
Answer:
Step-by-step explanation:
n! = n.(n - 1).(n - 2).(n - 3). ... .(n - p)!
p is a natural number.
I hope I've helped you.
Answer: question one on the sheet AB + 2(CD) =16 and 2(AB)-CD=8 question 3 CD and JK have the same length question 4 EF and AD have the same length question 5 GH is different from all the lengths
question 6 its (3,4) (-1,-3) (4,-1) question 7 (-3,-1) (4,-4) (0,4) srry if im wrong on most of them
Step-by-step explanation: bc im confident
Answer:
Step-by-step explanation:
On a given day , a particular raccoon will eat the trash from one of three different houses.
Let assume be a random variable that illustrating the house raccoon will eat on an unknown given nth day.
If he eats from the trash of a particular house, he has a 50% chance to eat from the same house the next day, and a 25% chance each to eat from one of the other two houses.
There are three states given in the above statement.
So, we can have state 1, state 2 and state 3
Assuming that:
state 1 = house 1
state 2 = house 2
state 3 = house 2
If he eats from the trash of a particular house,
For state 1 : he has a 50% chance to eat from the same house the next day
i.e state 1 = 0.50
and a 25% chance each to eat from one of the other two houses.
For state 2 and state 3: = 0.25
i.e state 2 = 0.25
state 3 = 0.25
NOW:
The stochastic matrix for this scenario can be computed as:
0 1 2