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MrMuchimi
3 years ago
10

Which function represents the points included in the table?

Mathematics
1 answer:
ladessa [460]3 years ago
5 0
F(x) can also mean y

Use data point 2 to begin with as it makes things easier because it contains a 0 x=0 y=3

A. f(x)= -3x+2

f(0)=-3(0)+2
f(0)= 0+2
y=2which doesn’t correspond with the y= 3above


B.f(x)=-2x+3
f(0)=0+3
Y=3 which does correspond with the y=3 above

C.f(x)=2x-3
f(0)=2(0)-3
y=-3 which doesn’t correspond with the y= 3above


D.f(x)=3x-2
f(0)=3(0)-2
y=-2 which doesn’t correspond with the y= 3above


So function B. f(x)=-2x+3 is the only answer
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In trapezoid ABCD, find m∠A if m∠B= 25°, m∠C = 155° and m∠ D= 117°.
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What is the probability of rolling a sum of 11 on a standard pair of six-sided dice? express your answer as a fraction or a deci
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8 0
4 years ago
I got the first two can you help me with the last one PLZ
Nat2105 [25]

1. Geometric Sequence

2. a_n = a_{n-1} * 3

3. a_n = 6 * (3)^{n-1}

Step-by-step explanation:

Given sequence is:

6, 18, 54, 162,....

Here

a_1 =6\\a_2 = 18\\a_3 = 54

(a) Is this an arithmetic or geometric sequence?

We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.

We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

r = \frac{a_2}{a_1} = \frac{18}{6}= 3\\r = \frac{a_3}{a_2} = \frac{54}{18} = 3

As the common ratio is same, the given sequence is a geometric sequence.

(b) How can you find the next number in the sequence?

Recursive formulas are used to find the next number in sequence using previous term

Recursive formula for a geometric sequence is given by:

a_n = a_{n-1} * r

In case of given sequence,

a_n = a_{n-1} * 3

So to find the 5th term

a_5 = a_4*3\\a_5 = 162*3\\a_5 = 486

(c) Give the rule you would use to find the 20th week.

In order to find the pushups for 20th week, explicit formul for sequence will be used.

The general form of explicit formula is given by:

a_n = a_1 * r^{n-1}

Putting the values of a_1 and r

a_n = 6 * (3)^{n-1}

Hence,

1. Geometric Sequence

2. a_n = a_{n-1} * 3

3. a_n = 6 * (3)^{n-1}

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

4 0
3 years ago
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