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3 years ago

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Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10? –10, –12, –14, –16, –18, ... –2, 8, 18, 28, 38, .

.. 8, 18, 28, 38, 48, ... 10, 8, 6, 4, 2, ...

2 answers:

Liono4ka [1.6K]3 years ago

8 0

Answer:

D

Step-by-step explanation:

just took the test

Vedmedyk [2.9K]3 years ago

6 0

Answer:
D

Step-by-step explanation:

Given

f(n + 1) = f(n) - 2 with f(1) = 10

To generate the sequence substitute values for n into the recursive formula.

f(1) = 10

f(2) = f(1) - 2 = 10 - 2 = 8

f(3) = f(2) - 2 = 8 - 2 = 6

f(4) = f(3) - 2 = 6 - 2 = 4

f(5) = f(4) - 2 = 4 - 2 = 2

The first 5 terms are 10, 8, 6, 4, 2

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Simplify the expression (-5)(4)(-2)(-3)

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(-20)(6)
-120
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3 years ago

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The city council is planning a long, narrow park with a playground at one end and a fountain at the other. They want the playgro

ipn [44]

Answer:

The following are some inequalities that represent the possible position of the playground.

2x ≥ -2 and x < -3

x + 3 ≤ 1 and –x > -3

x + 4 ≤ 2 and x + 4 > 7

2x – 1 ≥ -5 and 3x < 9

The city council planning for playground, that is more than 5 blocks from fountain and at least 2 blocks from center of park.

A solid dot on negative two points less than -2 and a circle dot on positive three points in the direction indicating greater than 3. So the right inequality is x + 3 ≤ 1 and –x > -3. That represents the possible position of ground.

Hence, the inequality x + 3 ≤ 1 and –x > -3 is the playground's possible position.

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3 years ago

What adds to negative 8 and multiplies to negative 10

butalik [34]

My answer is positive 80

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3 years ago

What is the following quotient? ^3 square root 60 over ^3 square root of 20

prohojiy [21]

Answer:

$\sqrt{3}$ is the required quotient.

Step-by-step explanation:

We have been given the expression:

$\frac{3\sqrt{60}}{3\sqrt{20}}$

Cancel the common term which is 3 we will be left with

$\frac{\sqrt{60}}{\sqrt{20}}$

$\sqrt{60}$ can be written as after prime factorization is:

$2\sqrt{15}$

And $\sqrt{20}$ can be written as after prime factorization is:

$2\sqrt{5}$

Hence, the given expression would become after 2 gets cancel from numerator and denominator:

$\frac{\sqrt{3}\cdot \sqrt{5}}{\sqrt{5}}$

Quotient is the answer we get after dividing numerator by denominator and cancel common term which is $\sqrt{5}$

$\sqrt{3}$ is the required quotient.

6 0

3 years ago

Read 2 more answers

Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.

mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

$1 \text{ feet} = 0.3048 \text{ meter}$

$1 \text{ meter} = \frac{1}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}$

Now, Feet into inches

$1 \text{ feet} = 12\text{ inches}$

$\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}$

$\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}$

i.e. $17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}$

or $17.42 \text{ meter} =57'\frac{232}{381}''$

None of these answers is reasonable.

Therefore, Option E is correct.

5 0

3 years ago