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3 years ago

Which table might represent ava's line ?

Mathematics

1 answer:

Serjik [45]3 years ago

3 0

Answer:

The correct option is 3.

Step-by-step explanation:

To find the slope of a line Ava wrote the expression

$m=\frac{4-2}{3-1}$ ..... (1)

The formula to find the slope is

$m=\frac{y_2-y_1}{x_2-x_1}$ .... (2)

On comparing (1) and (2), we get

$x_1=1, y_1=2$

$x_2=3, y_2=4$

It means the value of y is 2 at x=1 and the value of y is 4 at x=3.

Therefore table 3 represents the Ava's line and option 3 is correct.

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Complete the recursive formula of the geometric sequence 16\,,\,3.2\,,\,0.64\,,\,0.128,...16,3.2,0.64,0.128,

Nastasia [14]

Answer:

$a_{n+1}=0.2a_n$ for all n>0, $a_1=16$

Step-by-step explanation:

Let $\{a_n\}=\{16,3.2,0.64,0.128,\cdots \}$ be the sequence described.

A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that $\frac{a_{n+1}}{a_n}=r$ forr all n>0.

To find r, note that

$\frac{3.2}{16}=\frac{32}{10(16)}=\frac{2}{10}=\frac{1}{5}=0.2$

Similarly

$\frac{0.64}{3.2}=\frac{64}{10(32)}=\frac{1}{5}=0.2$

$\frac{0.128}{0.64}=\frac{1}{5}=0.2$

Thus $a_{n+1}=r a_n=\frac{a_n}{5}=0.2a_n$ for all n>0, and $a_1=16$

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77julia77 [94]

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leva [86]

Answer:

c = b -d/a

Step-by-step explanation:

a(b-c)=d

Divide each side by a

a(b-c)/a = d/a

b-c = d/a

Subtract b from each side

b-c-b = d/a -b

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Multiply each side by -1

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