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Stella [2.4K]
3 years ago
5

A sequence is defined by the recursive function f(n + 1) = f(n). It f(3) = 9, what is f{1) ?

Mathematics
1 answer:
zhenek [66]3 years ago
8 0

Answer:

because f(n) = f(n + 1)

=> f(3) = f(2) = f(1) = 9

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Scott rented a car for $27.00 per day plus $0.13 per mile. He paid $55.73 for a one-day rental. How many miles did Scott drive t
sesenic [268]

Answer:

55.73-27 = 28.73

28.73/0.13 =221

221 miles

Step-by-step explanation:

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3 years ago
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the sum of the measures of the central angles of a circle is 360°. Find the measures of each angle labeled x.
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You would want to add all of the angles together to find the sum. Set this equal to 360.

2x-9 + 2x-9 + x + x + x = 360

Combine like terms,

7x-18 = 360

Add 18 to both sides,

7x = 378

Divvied both sides by 7,

x = 54

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3 years ago
The steps to derive the quadratic formula are shown below:
alukav5142 [94]

Answer:

  (c)  x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c all over the square root of 4 times a squared

Step-by-step explanation:

The next step is to take the square root of both sides of the equation. It can help to show the intermediate steps.

<h3>Result so far</h3>

The last step shown in the derivation so far is ...

  x^2+\dfrac{b}{a}x+\dfrac{b^2}{4a^2}=-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}

<h3>Next step</h3>

The left side of the above expression can be written as a square, and the right side can be written over one denominator. Then the square root is taken as the next step.

  \left(x+\dfrac{b}{2a}\right)^2=\dfrac{b^2-4ac}{4a^2}\\\\\sqrt{\left(x+\dfrac{b}{2a}\right)^2}=\sqrt{\dfrac{b^2-4ac}{4a^2}}\\\\\boxed{x+\dfrac{b}{2a}=\pm\dfrac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}}\qquad\text{"next step"}

7 0
2 years ago
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Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She rece
Lady bird [3.3K]

Answer:

Astrid needs 280 tons of wood to build ships that can accommodate 2100 sailors

Step-by-step explanation:

Here, in this question, we want to know the amount of wood needed by Astrid to accommodate 2100 sailors.

From the question, we can see that 40 tons are needed to build a ship that can accommodate 300 sailors.

Now, we want to make a calculation for the amount of wood needed for 2100 sailors.

Let’s have it this way;

40 tons = 300 sailors

x tons = 2100 sailors

So mathematically,

x * 300 = 2100 * 40

x = (2100 * 40)/300

x = 280 tons of wood

We can see that 280 tons of wood are needed to build ships that can accommodate 2100 sailors

8 0
3 years ago
PLEASE HELP!!!!! THIS IS TIMED!!!!!! PLEASE HELP ME!!!!!!!!!!!!!!!!
goldfiish [28.3K]

41. is the answer lol. i mixed it up

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3 years ago
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