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2 years ago

12

Work out m and c for the line: y − 3 x = 5

1 answer:

ludmilkaskok [199]2 years ago

8 0

Answer:

Step-by-step explanation:

Write the equation in slope intercept form.

y = mx +c

y - 3x = 5

y = 3x + 5

m = 3 and c = 5

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3 years ago

What two ratios are equivalent too 27/60

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3 years ago

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3 years ago

Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.

rjkz [21]

Given:

The explicit function is:

$f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}$

To find:

$f(1)=?,r=?$ and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

$f(n)=ar^{n-1}$ ...(i)

Where, a is the first term and r is the common ratio.

We have,

$f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}$ ...(ii)

On comparing (i) and (ii), we get

$a=1000$

$f(1)=1000$

And,

$r=\dfrac{1}{4}$

For $n=1$ ,

$f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}$

$f(1)=1000\left(\dfrac{1}{4}\right)^{0}$

$f(1)=1000(1)$

$f(1)=1000$

For $n=2$ ,

$f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}$

$f(2)=1000\left(\dfrac{1}{4}\right)^{1}$

$f(2)=1000\times \dfrac{1}{4}$

$f(2)=250$

Similarly, substituting $n=3,4,5$ , we get

$f(3)=62.5$

$f(4)=15.625$

$f(5)=3.90625$

Therefore, $f(1)=1000,r=\dfrac{1}{4}$ and the first five terms are $1000,250,62.5,15.625,3.90625$ .

5 0

3 years ago

Read 2 more answers