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3 years ago

Please help, What is the nth term rule of the quadratic sequence below? -4,1,12,29,52,81,116

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

7 0

Answer:

29-12 is a 17 difference

52-29 is a 23 difference (adding 6 to the number 17)

81-52 is a 29 difference (adding 6 to the number 23)

116-81 is a 35 difference (adding 6 to the number 29)

Step-by-step explanation:

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Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Funct

expeople1 [14]

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

$\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}$

Function B:

$y = -4.5x + 15$

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (1.5,5)$

$(x_2,y_2) = (2.5,0)$

So, we have:

$m = \frac{0-5}{2.5 - 1.5}$

$m = \frac{-5}{1}$

$m = -5$

For function B

The general function is:

$y = mx + b$

Where

m is the rate of change

By comparing $y = mx + b$ to $y = -4.5x + 15$

$m = -4.5$

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

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3 years ago

Graph matching 50 Points!

Sloan [31]

Step-by-step explanation: To find the graphs, we look at the problem and the graph. Let's do it step-by-step.

No. 1 is y = 1/2.

To find the corresponding graph, we look closely at the graph.

Look at the 2nd graph. Do you see a dot by 1/2? I do!

So, No. 1 matches with the 2nd graph.

No. 2 is y = 2.

Like I said, we look closely at the graph.

Look at the 4th graph. Do you see a dot by 2? I do!

So, No. 2 matches with the 4th graph.

No. 3 is y = 4.

Now, we look closely at the graph.

Look at the 3rd and the 4th graph. Do you see a dot by 4? I do!

So, No. 3 matches with the 3rd and the 4th graph.

Lastly, No. 4 is y = 1/4.

Let's look closely at the graph.

Look at the 1st graph. Do you see a dot by 1/4? I do!

So, No. 4 matches with the 2nd graph.

Therefore, our answers are:

No. 1 matches with the 2nd graph

No. 2 matches with the 4th graph.

No. 3 matches with the 4th and the 3rd graph.

No. 4 matches with the 1st and the 2nd graph.

Download pdf

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Ronch [10]

Answer:

Step-by-step explanation:

An equilateral triangle means all sides have the same length and there are 3 sides to a triangle. Therefore, the answer is 3.

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