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Tresset [83]
3 years ago
7

The 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively. ​What is the 1st term of the sequence.

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
6 0

Answer:

<h3>             a₁ = -1</h3>

Step-by-step explanation:

a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1

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Rewrite in simplest radical form 1 . show each step of your process.
morpeh [17]

Answer:

what is this russian math?

Step-by-step explanation:

4 0
3 years ago
If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)
Natalka [10]

Answer:

<h2>(h - g)( - 2) = 18</h2>

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

<h3>(h - g)(x) =  {2x}^{2}  - 5x + 2 - ( {x}^{2}  - 2x - 6)  \\  =  {2x}^{2}  - 5x + 2 -  {x}^{2}  + 2x + 6 \\  =  {2x}^{2}  -  {x}^{2}  - 5x + 2x + 2 + 6</h3><h3>(h - g)(x) =  {x}^{2}  - 3x + 8</h3>

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

<h3>(h - g)( - 2) =  ({ - 2})^{2}  - 3( - 2) + 8 \\  = 4 + 6 + 8 \\  = 10 + 8</h3>

We have the final answer as

<h3>(h - g)( - 2) = 18</h3>

Hope this helps you

7 0
4 years ago
Similfy 1/2 (30x + 4y - 14 ) +1/4 (16x - 28y + 4)
Hoochie [10]

Answer:

19x - 5y - 6

Hope this helped

Step-by-step explanation:

You start by simplifying each expression, you will be distributing the number outside the parentheses  on each number inside the parentheses

1/2(30x+4y-14)

1/4(16x -28 +4)

leaving you with

15x + 2y - 7 + 4x - 7y + 1

combine the x's y's and the singular numbers

19x - 5y - 6

Brainliest?


6 0
3 years ago
The largest major arc is:<br> MHJ<br> JMG<br> GNM<br> HLI
crimeas [40]

Answer:

the correct answer is HLI

7 0
2 years ago
1. Is the square root of 2 between 1.3 and 1.4? How do you know?
VikaD [51]

Answer:

Step-by-step explanation:

1st . 1.3^2= 1.69

1.4^2= 1.96

It's not bettween 1.3 & 1.4

2. 1.4^2=1.96

1.5^2= 2.25

it's betteen 1.4 & 1.5

3 . 1.4 & 1.5 so it's eqaul 1.4

3 0
3 years ago
Read 2 more answers
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