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dimulka [17.4K]

4 years ago

5

For each sequence, find a formula for the general term, a_n. for example, answer n ^2 if given the sequence: \lbrace 1, 4, 9, 16

, 25, 36, . . . \rbrace

1 answer:

Ronch [10]4 years ago

6 0

This is clearly a sequence of the squares of the integers {1, 2, 3, .... }.

The general term is an = n^2.

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When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? x equ

jarptica [38.1K]

Answer:

r = 105

Step-by-step explanation:

Given quadratic equation:

x² − 9x − 6

Quadratic formula is given by:

(-b ± √b² - 4ac) ÷ 2a

For the equation: x² - 9x - 6

a = 1, b = -9 and c = -6

Substitute in the quadratic formula:

(-b ± √b² - 4ac) ÷ 2a

(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1

= 9 ± √105 / 2

The solution of x² − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2

Therefore, the value of r is 105

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3 years ago

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miskamm [114]

The answer is 1/2 or 8/16 if it asks not to simplify

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Sergio [31]

Answer:

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Step-by-step explanation:

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3 years ago

Solve 2x+y=2x please answer for me

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4 years ago

At the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. Three cheeseburgers and two

Svetlanka [38]

<u><em>Answer:</em></u> <em><u>290 calories in a cheeseburger and 230 calories in fries.</u></em>

<em><u>x = calories in a cheeseburger</u></em>

<em><u>y = calories in an order of small fries</u></em>

<em><u>Four cheeseburgers and five small fries have 2,310 calories. Therefore</u></em>

<em><u>4x + 5y = 2310 (1)</u></em>

<em><u>Three cheeseburgers and two small fries have 1,330 calories. Therefore</u></em>

<em><u>3x + 2y = 1330 (2)</u></em>

<em><u>Equations (1) and (2) model the given situation.</u></em>

<em><u>To solve, multiply (1) by 2, and multiply (2) by 5 to obtain</u></em>

<em><u> 8x + 10y = 4620 (3)</u></em>

<em><u>15x + 10y = 6650 (4)</u></em>

<em><u>Subtract (3) from (4).</u></em>

<em><u>7x = 2030</u></em>

<em><u>x = 290</u></em>

<em><u>From (1), obtain</u></em>

<em><u>5y = 2310 - 4*290 = 1150</u></em>

<em><u>y = 230</u></em>

<em><u> x = 290, y = 23</u></em>

<u><em>Hope this helps!</em></u>

<u><em>:)</em></u>

5 0

3 years ago