Answer:
Simplify and solve and get x=-5
Step-by-step explanation:
2/3x - 1/2= 1/3 + 5/6x
2/3x - 5/6x= 1/3 + 1/2
-1/6x= 5/6
x=-5
Answer:
Tn = 2Tn-1 - Tn-2
Step-by-step explanation:
Before we can generate the recursive sequence, we need to find the nth term of the given sequence.
nth term of an AP is given as:
Tn = a+(n-1)d
If a17 = -40
T17 = a+(17-1)d = -40
a+16d = -40 ...(1)
If a28 = -73
T28 = a+(28-1)d = -73
a+27d = -73 ...(2)
Solving both equations simultaneously using elimination method.
Subtracting 1 from 2 we have:
27d - 16d = -73-(-40)
11d = -73+40
11d = -33
d = -3
Substituting d = -3 into 1
a+16(-3) = -40
a - 48 = -40
a = -40+48
a = 8
Given a = 8, d = -3, the nth term of the sequence will be
Tn = 8+(n-1) (-3)
Tn = 8+(-3n+3)
Tn = 8-3n+3
Tn = 11-3n
Given Tn = 11-3n and d = -3
Tn-1 = Tn - d... (3)
Tn-1 = 11-3n +3
Tn-1 = 14-3n
Tn-2 = Tn-2d...(4)
Tn-2 = 11-3n-2(-3)
Tn-2 = 11-3n+6
Tn-2 = 17-3n
From 3, d = Tn - Tn-1
From 4, d = (Tn - Tn-2)/2
Equating both common difference
(Tn - Tn-2)/2 = Tn - Tn-1
Tn - Tn-2 = 2(Tn - Tn-1)
Tn - Tn-2 = 2Tn-2Tn-1
2Tn-Tn = 2Tn-1 - Tn-2
Tn = 2Tn-1 - Tn-2
The recursive formula will be
Tn = 2Tn-1 - Tn-2
Answer:
A= 18
Step-by-step explanation:
To find the height, find the blocks inside the shape that is completely attached (they have to be in a straight vertical line). In this case, you can see that three vertical blocks in the middle of the shape is completely attached. That means your height is 3.
To find the width, look at the how many horizontal boxes make up the top. 6 block inside the shape corispond with 6 blocks on top of the shape, so the width is six.
Multiply 6 by 3 to get 18.
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The axis of symmetry is the vertical line halfway between the zeros.
x = (4 -2)/2
x = 1 . . . equation of axis of symmetry
Step-by-step explanation:
- 89
- 81
- 50
- 83
- 295
<h2>hope it helps.</h2><h2>stay safe healthy and happy.</h2>
