Answer:
49
Step-by-step explanation:
100- 51 = 49
Answer:
H
Step-by-step explanation:
y= (1)x-3
Positive gradient, and the y intercept for the graph is -3, F is not the answer, the Y intercept is not -3.
2 gophers per day are getting removed
Answer:
Step-by-step explanation:
First, turn the word problem into an equation:
n(a number) was divided by 2
followed by this quotient beying multiplied by 4
*4
the product was added to 9
*4+9
the total sum was 25
*4+9 = 25
use PEMDAS to solve the equation
subtract 9 on both sides
*4 = 16
cancel the 2 and the 4 using factorization
n*2 = 16
divide 2 on both sides
n = 8
The correct question is:
Suppose x = c1e^(-t) + c2e^(3t) a solution to x''- 2x - 3x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c1 as c1 and c2 as c2.)
Answer:
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
Step-by-step explanation:
We need to verify that
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
We differentiate
x = c1e^(-t) + c2e^(3t)
twice in succession, and substitute the values of x, x', and x'' into the differential equation
x''- 2x' - 3x = 0
and see if it is satisfied.
Let us do that.
x = c1e^(-t) + c2e^(3t)
x' = -c1e^(-t) + 3c2e^(3t)
x'' = c1e^(-t) + 9c2e^(3t)
Now,
x''- 2x' - 3x = [c1e^(-t) + 9c2e^(3t)] - 2[-c1e^(-t) + 3c2e^(3t)] - 3[c1e^(-t) + c2e^(3t)]
= (1 + 2 - 3)c1e^(-t) + (9 - 6 - 3)c2e^(3t)
= 0
Therefore, the differential equation is satisfied, and hence, x is a solution.
