Answer:
-45
Step-by-step explanation:
put x = -6 and y=3 in this expression : y(2x - y)
3(2(-6)-3) = 3(-12 -3)= 3(-15) = -45
Answer:
The value of n = -10
Step-by-step explanation:
Given the points
Finding the slope between (3, n) and (4,0)
As slope = 10
using the formula
Slope = [y₂ - y₁] / [x₂ - x₁]
so substituting the values
10 = [0 - n] / [4 - 3]
10 = -n / 1
10 = -n
n = -10
Therefore, the value of n = -10
Answer:
The second term of the sequence is 8 False ⇒ B
The third term of the sequence is 3 True ⇒ A
The fourth term of the sequence is -3 True ⇒ A
Step-by-step explanation:
The form of the recursive rule is:
f(1) = first term; f(n) = f(n - 1) + d, where
- f(n - 1) is the term before the nth term
- d is the common difference
∵ f(1) = 15, f(n) = f(n - 1) - 6 for n ≥ 2
∴ The first term = 15
∴ d = -6
let us find the 2nd, 3rd, and 4th terms
∵ n = 2
∴ f(2) = f(1) - 6
∵ f(1) = 15
∴ f(2) = 15 - 6 = 9
∴ The second term is 9
∴ The second term of the sequence is 8 False
∵ n = 3
∴ f(3) = f(2) - 6
∵ f(2) = 9
∴ f(3) = 9 - 6 = 3
∴ The third term is 3
∴ The third term of the sequence is 3 True
∵ n = 4
∴ f(4) = f(3) - 6
∵ f(3) = 3
∴ f(4) = 3 - 6 = -3
∴ The fourth term is -3
∴ The fourth term of the sequence is -3 True
Answer:
1.
2.543.6
Step-by-step explanation:
We are given that
y(0)=200
Let y be the number of bacteria at any time
=Number of bacteria per unit time
Where k=Proportionality constant
2.
,y'(0)=100
Integrating on both sides then, we get
We have y(0)=200
Substitute the values then , we get
Substitute the value of C then we get
Differentiate w.r.t
Substitute the given condition then, we get
Substitute t=2
Then, we get 
e=2.718
Hence, the number of bacteria after 2 hours=543.6
Answer:
23760 pounds
Step-by-step explanation:
396 passengers
60 pounds for each passenger
total pounds plane can carry=passengers × pounds
= 396×60
= 23760 pounds
....
