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maxonik [38]
2 years ago
12

class="latex-formula">
Mathematics
1 answer:
Igoryamba2 years ago
5 0

Step-by-step explanation:

3x + 7 = 12- 2x \\ 3x + 2x = 12 - 7 \\ 5x  = 5 \\ x =  \frac{5}{5}  \\ x =1

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What is the nth term of the sequence -2 -8 -18 -32 -50
andreev551 [17]

Answer:

-2n²

Step-by-step explanation:

Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
T_{n} = an^{2}  +bn +c

To find the value of a we just divide second difference ( -4 ) by 2:

  • a = \frac{-4}{2}= -2

Now we have:

  • T_{n}= -2n^{2}  +bn+c

Substitute n_{1} and n_{2} into the equation above:

  • T_{1} = -2(1)^{2}  +b(1) +c
  • T_{2} = -2(2)^{2}  +b(2)+c

Since T_{1} = -2 and T_{2} = -8 , after simplification we have:

  • b +c =0
  • 2b+c=0

The solution of this system is:

  • b=0, c =0

The general term is :

T_{n} = -2n^{2}

6 0
2 years ago
6x+8=x-2 what is the answer to this
rodikova [14]

Answer:

x= -2

Step-by-step explanation:

6x+8=x-2

6x-x= -2-8

5x= -10

x= -10/5

x= -2

7 0
3 years ago
What does 17 oz equal
AleksAgata [21]
1 lb and 1 oz is the answer 
4 0
3 years ago
Read 2 more answers
F(x) = x +3 What is the slope
nadezda [96]

Answer:

1

Step-by-step explanation:

If there is nothing by the (x) in the equation there is always an invisible 1 next to it. The full equation is f(x)= 1x+3. The answer is 1. Hope that helps!

8 0
3 years ago
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A plumber charges $55 for service call, plus $35 per hour. If the plumber’s bill was $160 then how many hours was he there
Sholpan [36]
55 for service call
35 per hour

Total 160

55 + 35 (3)
55 + 105
160

He was there for 3 hours
3 0
3 years ago
Read 2 more answers
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