The recursive rule is

.
The iterative rule is

The recursive rule is given by the formula

, where d is the common difference. Our common difference is -4, which gives us the recursive rule above.
The iterative rule begins with the formula

, where a₁ is the first term and d is the common difference. Our first term is 10 and our common difference is -4:
Answer:
y = 2eˣ - sin x + 1
Step-by-step explanation:
dy/dx = 2eˣ - cos x
(0, 3)
Integrate dy/dx to find the original function.
Solve for C by substituting the point given.
- 3 = 2e⁰ - sin(0) + C
- 3 = 2 - 0 + C
- 1 = C
Now we can substitute C into the original function.
This is the particular, or explicit, solution to the differentiable equation.
The origin is (0,0)
y = mx + b
slope(m) = 2/3
(0,0)...x = 0 and y = 0
now we sub and find b, the y int
0 = 2/3(0) + b
0 = b
so ur equation is y = 2/3x + 0...or just y = 2/3x
Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3
<u>Solution:</u>
We have been given two equations which are as follows:
3x - 4y = -24 ----- eqn 1
x + 4y = 8 -------- eqn 2
We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.
We rearrange eqn 2 as follows:
x + 4y = 8
x = 8 - 4y ------eqn 3
Now we substitute eqn 3 in eqn 1 as follows:
3(8 - 4y) -4y = -24
24 - 12y - 4y = -24
-16y = -48
y = 3
Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:
x = 8 - 4(3)
x = 8 - 12 = -4
Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.
Answer:
The answer is 4 minutes
Step-by-step explanation:
I divided 825 by 3 and got 165. If you multiply 165 by all the factors, you get approximately 4 minutes. It's the closest. Try that one.