Answer:
:) The Inverse of the Function f(x) = 2x + 1 is f-1(x) = x/2 - 1/2.
Step-by-step explanation:
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Answer:
(1,0)
(-2,3)
(5,24)
Step-by-step explanation:
To solve this you can can just plug in the x and y values and see which work
y = x²-1
Lets test (0,1):
1 = 0²-1
1 = -1
This pair <em>does not</em> work, because 1 does not equal -1
Lets test (1,0):
0 = 1²-1
0 = 0
This <em>does</em> work, because 0 equals 0
Lets test (3,5):
5 = 3²-1
5 = 9 - 1
5 = 8
This pair <em>does not</em> work, because 5 does not equal 8
Lets test (5,24):
24 = 5²-1
24 = 25 -1
24 = 24
This pair <em>does</em> work, because 24 equals 24
Lets test (-2,3):
3 = (-2)²-1
3 = 4-1
3 = 3
This pair <em>does</em> work, because 3 equals 3
Lets test (-4,-17):
-17 = (-4)²-1
-17 = 16 - 1
-17 = 15
This pair <em>does not</em> work, because -17 does not equal 15
So the pairs that are on the graph are:
(1,0)
(-2,3)
(5,24)
Given differential equation, (D4 - 5D3 + 5D2 + 5D - 6)y = 0
=> For general solution of equation,
Solve D4 - 5D3 + 5D2 + 5D - 6 = 0
=> D4 - 5D3 + 6D2 - D2 + 5D - 6 = 0
=> D2 (D2 - 5D + 6) - (D2 - 5D + 6) = 0
=> (D2 - 5D + 6)(D2 - 1) = 0 ................................(1)
Now
D2 - 1 = (D - 1)(D + 1) and
Factors of D2 - 5D + 6
D2 - 5D + 6 = D2 - 2D - 3D + 6
= D(D - 2) - 3(D - 2)
= (D - 3)(D - 2)
Therefore, equation (1) implies
(D2 - 5D + 6)(D2 - 1) = (D - 3)(D - 2)(D - 1)(D + 1) = 0
=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3
=> General solution of differential equation is,<span>
=><span> y = C1 e-x + C2 ex + C3 e2x + C4 e3x</span> .
Hope it helps
</span>
Answer:
20 inches
Step-by-step explanation:
It is because QS and PN are congruent.
Answer:
The answer is 12.
Step-by-step explanation:
