Answer:
y = -x + 5
Step-by-step explanation:
X, Y, and B is given using fomula y = m(x) + b
Subsitute those variables.
0 = -(5) + b
Solve for m.
0 = -5 + b
+5 +5
b = 5.
Then plug in the b and take out the x and y.
y = -x + 5
L[ y(t) ] = Y(s)
L[ y' ] = sY-y(0) = sY-0 = sY
L[ y'' ] = s^2*Y - sy(0) - y'(0) = s^2*Y - 1
laplace trasform both sides
L[ y'' - 6y' + 9y ] = L[ t ]
= L[ y'' ] - 6 L[ y' ] + 9 L[ y ] = 1/s
= [ s^2*Y - 1 ] - 6[ sY ] + 9Y = 1/s
( s^2 - 6s + 9 ) Y - 1 = 1/s
⇒ ( s^2 - 6s + 9 ) Y = (1/s) + 1
⇒Y = [ 1 / ( s(s^2 - 6s + 9 ) ) ] + [ 1 / ( s^2 - 6s + 9 ) ]
Let inverse laplace trasform , find y(t) :
y(t) = L^(-1)[ Y(s) ] = L^(-1) { [ 1 / ( s(s^2 - 6s + 9 ) ) ] + [ 1 / ( s^2 - 6s + 9 ) ] }
= [ (1/3)*t*e^(3t) - (1/9)*e^(3t) + (1/9) ] + [ t*e^(3t) ]
= (4/3)*t*e^(3t) - (1/9)*e^(3t) + (1/9)
Answer:
Step-by-step explanation:
Let f(x) = 4x3 + 3x2 − 20x − 15 and g(x) = 4x + 3. Find f of x over g of x.
C
If Nelson’s score was -4, he took 4 strokes less than par. His score was 68
Erwin has 1 more point than Nelson. The person with the most points loses, so Nelson won by 1 stroke.
Answer:
C 6 loaves with flour left over
Step-by-step explanation:
Take the amount of flour and divide by the amount of flour per loaf
9/2 ÷ 2/3
Copy dot flip
9/2 * 3/2
27/4
Change to a mixed number
4 goes into 27 6 times with 3 left over
6 3/4
