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Anni [7]
3 years ago
6

Write the equation of a line that goes the through the point (4 , -2) and is parallel to the line y = 3x - 1/3.

Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0

Answer:

y = 3x - 14

Step-by-step explanation:

If a line is parallel to another, it will have the same slope

So, the line's slope will be 3

Plug in the given point and the slope into y = mx + b, and solve for b

y = mx + b

-2 = 3(4) + b

-2 = 12 + b

-14 = b

Plug in the slope and b into y = mx + b

y = 3x - 14

So, the equation is y = 3x - 14

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How do you find the percent of increase from 12 to 18?
olga nikolaevna [1]
Let's get the data out of the problem:

Nv = 18

Ov = 12

Now, we can apply in this equation that relates the new and the old values:

i = Nv / Ov

i = 18 / 12

i = 1.5

Now, we just consider what has passed from 1, and this is 0.5, converting to percentage it is:

p = 0.5 . 100

p = 50%

The increase was 50%.

Hope it helps.
4 0
3 years ago
The quotient of j and 8" can be expressed as:
jek_recluse [69]
The quotient is the result of dividing one number by another.
Quotient = dividend / divisor
For example:
7 : 5 = 7/5 ( 7/5 is the quotient )
Quotient = j : 8 = j / 8
Answer:
A ) j / 8 
6 0
3 years ago
What is the estimate of 6296
Papessa [141]
Ans:6300


Explanation: Estimating the value of 6296+0
Round up the number 6296 to 6300.
6300+0
Round up the number 0 to 0.
6300+0
Add 0 to 6300.
6300
6296+0≈6300
The Estimated Value of 6296+0 is 6300.
3 0
1 year ago
Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.
Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the  terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

#SPJ1

6 0
1 year ago
What sequence would 20, 10, 5 be?​
love history [14]

Answer:

it going down dividing by 2

Step-by-step explanation:

4 0
2 years ago
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