Which recursive formula represents the geometric sequence? 25, 20, 16,

Mathematics

1 answer:

slavikrds [6]2 years ago

6 0

Answer:

Step-by-step explanation:

$a_n=\frac{4}{5}(a_{n-1})$

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A function f(x)f(x) is graphed on the coordinate plane.

Effectus [21]

<u>Answer</u>

-4x - 2

<u>Explanation</u>

To get the function needed, first calculate the slope of the graph.

slope = (change in y) / (change in x)

= (2 - -2)/(-1 - 0)

= 4/-1

= -4

Now use one of the point (-1, 2) in the graph and a general point (x,y) to find the function.

-4 = (y - 2)/(x - -1)

-4(x + 1) = y - 2

-4x - 4 = y - 2

y = -4x - 4 + 2

= -4x - 2

∴ f(x) = -4x - 2

6 0

3 years ago

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

allochka39001 [22]

Answer:

√11 = 3.31....

option 1. Irrational: √11 = 3.3

5 0

2 years ago

Read 2 more answers

Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the

Strike441 [17]

Answer:

Step-by-step explanation:

This is a differential equation problem most easily solved with an exponential decay equation of the form

$y=Ce^{kt}$ . We know that the initial amount of salt in the tank is 28 pounds, so

C = 28. Now we just need to find k.

The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is $\frac{dy}{dt}$ . Thus, the change in the concentration of salt is found in

$\frac{dy}{dt}=$ inflow of salt - outflow of salt

Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

$3(\frac{y}{400})$