Find the common ratio of the geometric sequence 7,63,567, ...

Mathematics

2 answers:

agasfer [191]3 years ago

5 0

Answer: 9

Step-by-step explanation: a, ar, ar^2... a=7, ar=63. solving with substitution gives the common ratio of 9!

Ksju [112]3 years ago

3 0

Answer:

Step-by-step explanation:

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Given T(x,y)=(x+5,y+4) and the point P(2,3), what is T(P)?

luda_lava [24]

<h3>Answer: (7, 7)</h3>

==============================================

Explanation:

T(P) is the notation applying the translation rule T(x,y) = (x+5, y+4) to the point P(2,3)

The x+5 means we add 5 to the x coordinate of P. We have x = 2 become x+5 = 2+5 = 7. The point P shifts 5 units to the right to go from (2,3) to (7,3)

Then the point shifts 4 units up to arrive at (7, 7). We shift 4 units up due to the y+4 in the translation rule.

Or put another way, y = 3 is the y coordinate of P. So y+4 = 3+4 = 7 is the new y coordinate.

4 0

3 years ago

PLEASE HELP

lesya [120]

<h3>Answer:</h3>

<u>Part A</u>:

section A: 18
section B: 288

<u>Part B</u>: rate of change in section B is 16 times as great

<h3>Explanation:</h3>

<u>Part A</u>:

The rate of change is computed as ...

... rate of change = (change in g(x)) / (change in x)

In section A, this is ...

... (change in g(x)) / (change in x) = (24 - 6)/(1 - 0) = 18

In section B, this is ...

... (change in g(x)) / (change in x) = (384 -96)/(3 -2) = 288

<u>Part B</u>:

The function, like any exponential function, increases at an increasing rate. The increase in the rate of change reflects the fact that as x increases, the rate of change of g(x) increases. (See the attachment for a graph.)