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nikitadnepr [17]
2 years ago
10

Write a rule for the nth term of the arithmetic sequence a8=-15 a17=-78

Mathematics
1 answer:
vivado [14]2 years ago
4 0

Answer:

Find the 40th term for the arithmetic sequence in which

a8=60 and a12=48 .

Substitute 60 for a8 and 48 for a12 in the formula

an=a1+(n−1)d  to obtain a system of linear equations in terms of a1 and d .

a8=a1+(8−1)d→60=a1+7da12=a1+(12−1)d→48=a1+11d

Subtract the second equation from the first equation and solve for d .

12=−4d−3=d

Then 60=a1+7(−3) .  Solve for a .

60=a1−2181=a1

Now use the formula to find a40 .

a40=81+39(−3)=81−117=−36 .  

Step-by-step explanation:

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Write 2 1/4<br> as an improper fraction.
Vika [28.1K]

Answer:

9/4

Step-by-step explanation:

First multiply denominator by the whole

That is: 4 x 2 = 8

Secondly, whatever answer you got add it to the numerator

That is: 8 + 1 = 9

Lastly, whatever answer you got, take that as the numerator and the denominator remains the same

That is: 9/4

Finally, this is your improper fraction of the number provided!

Hope it helps!!!

3 0
3 years ago
Help me!!!!! I really need to pass this
zlopas [31]

Answer:

Its A

Step-by-step explanation:

Tutor approved. I hope this helps you

6 0
3 years ago
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gregori [183]
1) Given
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4 years ago
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I need help ASAP! Plz ( Thank You )
Assoli18 [71]

Answer:

6a) x = -6

Let's solve your equation step-by-step.


14= 2x + 26


Step 1: Flip the equation.


2x + 26 = 14


Step 2: Subtract 26 from both sides.


2x + 26 − 26 = 14 − 26


2x = −12


Step 3: Divide both sides by 2.


2x/2 = −12/2


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--------------------

7a) x = 4.25

Let's solve your equation step-by-step.


−30 =4 − 8x


Step 1: Simplify both sides of the equation.


−30 = 4 − 8x


−30 = 4 + −8x


−30 = −8x + 4


Step 2: Flip the equation.


−8x + 4 = −30


Step 3: Subtract 4 from both sides.


−8x + 4 − 4 = −30 − 4


−8x = −34

x=17/4 (Decimal: 4.25)

---------------------------------

8a) x = 8

Let's solve your equation step-by-step.


3(x − 4) = 12


Step 1: Simplify both sides of the equation.


3(x − 4) = 12


(3)(x) + (3)(−4)= 12(Distribute)


3x + −12 = 12


3x − 12= 12


Step 2: Add 12 to both sides.


3x − 12 +1 2 = 12 + 12


3x = 24


Step 3: Divide both sides by 3.

3x/3=24/3

x=8


3 0
4 years ago
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maxonik [38]
A is the answer as in both cases E is 90 degrees

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3 years ago
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