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Goryan [66]
3 years ago
13

Write an explicit and a recursive formula for the sequence. (5,11,17,23,29)

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0
Starts with 5 then adds 6 repeatedly
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Solve x2+12x=-11 by completing the square . Which is the the solution set of the equation?
Dmitriy789 [7]

Answer:

{- 11, - 1 }

Step-by-step explanation:

Since the coefficient of the x² term is 1 , to complete the square

add (half the coefficient of the x-term )² to both sides

x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side

(x + 6)² = 25 ( take the square root of both sides

\sqrt{(x+6)^2} = ± \sqrt{25}

x + 6 = ± 5 ( subtract 6 from both sides )

x = - 6 ± 5

x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11




8 0
3 years ago
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Alan borrowed $570 for a new bed. He made 9 monthly payments to repay the loan. He
stepladder [879]

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$45\\ P=\textit{original amount deposited}\dotfill & \$570\\ r=rate\to r\%\to \frac{r}{100}\\ t=months\dotfill &9 \end{cases} \\\\\\ 45 = (570)(\frac{r}{100})(9)\implies \cfrac{45}{(570)(9)}=\cfrac{r}{100}\implies \cfrac{1}{114}=\cfrac{r}{100} \\\\\\ \cfrac{100}{114}=r\implies \stackrel{\%}{0.88}\approx r

4 0
2 years ago
What is the area of a square, if a side measures 12 cm?
Westkost [7]
Area of a square is length times by itself (length x width) so 12 cm x 12 cm
144cm squared
hope i helped :)
3 0
3 years ago
A card is Chosen at random from a deck of 52 cards it is replaced and a second card is chosen what is the probability both cards
ankoles [38]
There are 4 aces in a deck of 52 cards. the odds of drawing one is 1/13. the probability of doing it again is still 1/13. the odds of doing it twice, as described, is then 1/13 * 1/13, or (1/13)², or 1/169 option A
6 0
3 years ago
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7a+5=61 what is a in the equation
MrRa [10]

Answer:

a=8

Step-by-step explanation:

7 0
3 years ago
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