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3 years ago

Write the equation of a line that is parallel to y = 1/2x - 4 and that passes through the point (9, -6)

Mathematics

1 answer:

77julia77 [94]3 years ago

5 0

Hello,

I believe this is the right approach.
Good luck to you!

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What represents the recursive formula for the arithmetic sequence an=7-3(n-1)

Licemer1 [7]

Answer:

$\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} - 3 && \text{for $n \ge 1$}\end{aligned}\right.$ .

Step-by-step explanation:

An arithmetic sequence could be defined using only two pieces of information:

The first term of this sequence, $a_{1}$ .
The common difference between two consecutive terms of this sequence, $d$ .

The arithmetic sequence in this question is given in the explicit form, $a_{n} = 7 - 3\, (n - 1)$ , which is equivalent to $a_{n} = 7 + (-3)\, (n - 1)$ . In the explicit form, $a_{1}$ and $d$ are described in the same equation:

$\text{$a_{n} = a_{1} + d\, (n - 1)$ for $n \ge 1$}$ .

Compare $a_{n} = a_{1} + d\, (n - 1)$ with $a_{n} = 7 + (-3)\, (n - 1)$ : $a_{1} = 7$ whereas $d = -3$ .

When an arithmetic sequence is given in the recursive form, $a_{1}$ and $d$ are specified in two separate equations:

$\left\lbrace\begin{aligned}& a_{1} = a_{1} \\ & a_{n+1} = a_{n} + d && \text{for $n \ge 1$}\end{aligned}\right.$ .

In this question, it was found that $a_{1} = 7$ whereas $d = -3$ . Hence, the corresponding recursive formula for this arithmetic sequence would be:

$\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} + (-3) && \text{for $n \ge 1$}\end{aligned}\right.$ .

7 0

3 years ago

What are the zeros of the function f(x) = x^2 + 5x + 5 written in simplest radical form?

Klio2033 [76]

Answer:

2x = -5 +/- root 5 (opt 3)

Step-by-step explanation:

0 = 4f(x)

= 4(x^2 + 5x + 5)

= 4x^2 + 20x + 20

= (2x)^2 + 2*2x+5 + 25 - 5

= (2x + 5)^2 - (root 5)^2

= ((2x+5) - 5) ((2x + 5) + 5)

= (2x + 5 - 5) (2x + 5 - 5)

Therefore, 2x = -5 +/- root 5

Hope u understand.

Please mark as the brainliest

Thank You

7 0

3 years ago

Helppppp (8th) plsss

IgorC [24]

Answer:

M= -2

Step-by-step explanation:

I hope this helps yoy

5 0

2 years ago

Read 2 more answers

What property is 150 + 214 + 89 equals 214 plus 89 plus 150

koban [17]

The property is the Commutative Property

7 0

3 years ago

Fill in the missing values.<br> 151.5 cm =? m<br> 151.5 cm = ? m<br> (Type an integer or a decimal.)

masha68 [24]

Answer:

151.5 cm = 1.515 m

151.5 cm = 1515/1000 m

6 0

2 years ago