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tiny-mole [99]
3 years ago
15

PLEASE HELP!

Mathematics
1 answer:
MakcuM [25]3 years ago
3 0

Step-by-step explanation:

-12 = a(0+2)²-20

-12=4a -20

4a = 20-12

4a=8

a=2

y = 2x²+ 8x -12

=> y = 2 x² + 8 x + -12

2 , 8 , -12

You might be interested in
Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5
zaharov [31]

Answer:

31

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}} or \displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}

Therefore, the solution is 31.

__________________________________________________________

Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as \displaystyle \large{a_{n-1} \cdot r = a_n} meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:

\displaystyle \large{r=\frac{a_{n+1}}{a_n}}

Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:

\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}\\\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}

Above should be applied for series that have common ratio not equal to 1.

\displaystyle \large{S_n=a_1 \cdot n}

Above should be applied for series that have common ratio exactly equal to 1.

__________________________________________________________

Topics

Sequence & Series — Geometric Series

__________________________________________________________

Others

Let me know if you have any doubts about my answer, explanation or this question through comment!

__________________________________________________________

7 0
2 years ago
The area of a curved surface of a cylinder is 4400cm² and the circumference of its base 110cm. Find the height of the cylinder.​
love history [14]

Answer:

please ap bhi mujhe follow kar lo please

7 0
3 years ago
Read 2 more answers
2(4y - 5) < - 2 please help
34kurt

Answer:

y  <  1

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Given congruent triangles ΔRST ΔLMN where MN = 33, LN = 54, and RT = 4x+6 . Find the value of x
Scilla [17]

Answer:

x=12

Step-by-step explanation:

We know that both triangles are congruent meaning corresponding parts are equal. We know that line LN=54 and that RT=LN meaning that RT also equals 54. With that information we can simply subtract 6 from 54 to get 48 then divide by 4 to get  12. Hope this helps!

7 0
3 years ago
1 pts
umka2103 [35]
13 meters is around 512 in
to get that you do 13x39.37
3 0
3 years ago
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