We want to solve
y'' + 3y' = 0
Solve the indicial equation.
m² + 3m = 0
m(m + 3) = 0
m = 0 or m = -3
The basic solutions are e⁰=1 and

.
Answer:
The general solution is
Answer:
$26.02
Step-by-step explanation:
Let the price of a skirt be A and that of coat be B
Iilly bought 6 skirts and 5 coats for a total of $452.62
That’s
6A + 5B = 452.62
Also, Lilly’s sister bought 3 skirts and 5 coats for $289.36
That’s
3A + 5B = 289.36
We now have two equations
1 . 6A + 5B = 452.62
2. 3A + 5B = 289.36
Subtract equation two from equation one
We have
3A = 163.26
Divide both sides by 3
3A/3 = 163.26/3
A = 54.42
A = $54.42
Now substitute 54.42 for A in either equations to get B the price of a coat
Using equation one, we have
6A + 5B = 452.62
6 x 54.42 + 5B = 456.62
326.52 + 5B = 456.62
Subtract 326.52 from both sides
326.52 - 326.52 + 5B = 456.62 - 326.52
5B = 130.1
Divide both sides by 5
5B/5 = 130.1/5
B = 26.02
= $26.02
A coat cost $26.02
Answer:
Second factor is (x - 2).
Step-by-step explanation:
The given polynomial is 3x² -10x + 8 has a factor (3x - 4) and we have to find the other factor.
Now we will factorize the given polynomial to get the other factor.
3x² - 10x + 8
[ Here 8×3 = 24( multiplication of constant term 8 and coefficient of highest degree term) and 6 + 4 = 10 ]
= 3x² - 6x - 4x + 8
= 3x(x - 2) - 4(x - 2)
= (3x -4)(x -2)
In this factorized form we get two factors as (3x -4) and (x -2).
Therefore the second factor is (x - 2).
Answer:
x=1 and x=3
Step-by-step explanation:
let : f(x) = 2^x−8 and g(x) = 3x−9
the graph of g color red and the graph of f color bleue
the solutions are 1 and 3