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3 years ago

Which of the following is an example of a recursive sequence? 2, 5, 8, 11, ... 1, 3, 9, 27, ... 2, 4, 6, 10, ...

Mathematics

2 answers:

kogti [31]3 years ago

8 0

Answer:

2, 4, 6, 10, ... is the answer :)

Step-by-step explanation:

Mazyrski [523]3 years ago

6 0

<span>2, 5, 8, 11, ... and 1, 3, 9, 27, ... are examples of a recursive sequence.</span>

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Solve for x<br><br> (picture is included below)

Anna11 [10]

Solve for x:

4x - 7 = 3

Add 7 to both sides

4x = 10

Divide both sides by 4

x = 10/4

Simplify:

x = 5/2

Answer for question 1: x = 5/2

13 + 2x/3 = 15

Multiply both sides by 3

39 + 2x = 45

Subtract 39 from both sides

2x = 6

Divide both sides by 2

x = 3

Answer for question 2: x = 3

10x + 7 = 15

Subtract 7 from both sides

10x = 8

Divide both sides by 10

x = 8/10

Simplify

x = 4/5

Answer for question 3: x = 4/5

8 0

2 years ago

Read 2 more answers

Which set of ordered pairs could represent a function? (2, 3), (2, 2), (2, 4), (2, 9), (2, –2) (1, 5), (2, 6), (1, 6), (4, 5), (

Ratling [72]

Given:

The set of ordered pairs in the options:

(a) (2, 3), (2, 2), (2, 4), (2, 9), (2, –2)

(b) (1, 5), (2, 6), (1, 6), (4, 5), (1, 4)

(d) (5, 1), (7, 3), (9, 5), (11, 7), (13, 9)

To find:

The set of ordered pairs that could represent a function.

Solution:

A set of ordered pairs represent a function, if there exist unique output (y-value) for each input (x-value).

In option (a) we have, five output values y=3,2,4,9,-2 for single input x=2. So, it is not a function.

In option (b) we have, three output values y=5,6,4 for single input x=1. So, it is not a function.

In option (c) we have, two output values y=0,3 for single input x=1. So, it is not a function.

In option (d), all inputs has unique output.

Therefore, the correct option is (d).

4 0

2 years ago

Read 2 more answers

Does 8 + 2(x−6) = −2 + 2x −2 have one solution, no solutions, or infinite solutions.

tia_tia [17]

Answer:

Infinite solutions

Step-by-step explanation:

All solutions are possible.

7 0

2 years ago

Read 2 more answers

A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec

STALIN [3.7K]

Answer: Maximum height = 105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

$h(t) = -16t^2 + 72t + 24$ --------(1)

Where t is the time in second.

Differentiating equation (1) with respect to t,

We get, $h'(t) = -32 t + 72$

Again differentiating above equation with respect to t,

We get, $h''(t) = -32$

For maximum or minimum, $h'(t) = 0$

$- 32 t + 72 = 0$

$32 t = 72$

$t = \frac{9}{4}$

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

$h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24$

$h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24$

$h(\frac{9}{4} ) = -81 + 162 + 24=105$

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

8 0

3 years ago

In the example at the top of page 384, of the park was 1/8 mile from baseball practice instead of 1/3 mile, how far would Alex r

MrMuchimi

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6 0

3 years ago