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lubasha [3.4K]
3 years ago
9

Please assist me with these Alg 2 problems​

Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0

Answer:

\displaystyle a_n = a_{n - 1} + 7

\displaystyle 4, 7, 10, 13, 16

Step-by-step explanation:

A recursive formula is just a computation of all previous term in a sequence, in order to find value of \displaystyle a_n. So, here is the recursive formula for <em>arithmetic</em><em> </em><em>sequences</em>:

\displaystyle a_n = a_{n - 1} + d \\ \\ a_n = a_{n - 1} + 7

I hope that the first answer is correct, and as always, I am joyous to assist anyone at any time.

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4.9t^2-2.78t-1.15=0 what is the value of T
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Answer:

t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490

Step-by-step explanation:

Solve for t:

4.9 t^2 - 2.78 t - 1.15 = 0

4.9 t^2 - 2.78 t - 1.15 = (49 t^2)/10 - (139 t)/50 - 23/20:

(49 t^2)/10 - (139 t)/50 - 23/20 = 0

Multiply both sides by 10/49:

t^2 - (139 t)/245 - 23/98 = 0

Add 23/98 to both sides:

t^2 - (139 t)/245 = 23/98

Add 19321/240100 to both sides:

t^2 - (139 t)/245 + 19321/240100 = 75671/240100

Write the left hand side as a square:

(t - 139/490)^2 = 75671/240100

Take the square root of both sides:

t - 139/490 = sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490

Add 139/490 to both sides:

t = 139/490 + sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490

Add 139/490 to both sides:

Answer: t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490

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Step-by-step explanation:

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