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3 years ago

Write a rule to represent the sequence of numbers: 2, 8, 14, 20, 26

Mathematics

2 answers:

Yuki888 [10]3 years ago

4 0

Answer:

Start at 2 and add 6 each time.

Example:

2+6= 8

8+6= 14

14+6= 20

20+6= 26

and you can keep on going if you want

loris [4]3 years ago

3 0

The rule is 6 because you can tell by subtracting 8-2 which is 6 and if you subtract 14-8 is 6 also so you can get and idea that it’s 6.

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telo118 [61]

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3 years ago

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Answer:

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2 years ago

Read 2 more answers

The function f(x) = −x^2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), i

pychu [463]

Set the function to equal zero:

$-x^2 - 5x + 50 = 0$

To find the zeros, or solutions, to this problem, we will use the quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plug the values into the equation:

$a = -1, b = -5, c = 50$

$x=\frac{5\pm\sqrt{-5^2-4(-1)(50)}}{2(-1)}$

$x=\frac{5\pm\sqrt{25+200}}{-2}$

$x=\frac{5\pm15}{-2}$

Solve for both plus and minus:

$\frac{5 + 15}{-2} = \frac{20}{-2} = -10$

$\frac{5 - 15}{-2} = \frac{-10}{-2} = 5$

$x = -10, x = 5$

The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.

The answer is '<span>x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>

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3 years ago