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2 years ago

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Mathematics

1 answer:

Reil [10]2 years ago

5 0

Answer:

positive correlation

Step-by-step explanation:

When the y variable tends to increase as the x variable increases, we say that there is a positive correlation between the variables.

Therefore, the graph shows a positive correlation.

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What is the equation of a line that is parallel to the line with the equation y=2/3x+2 and passes threw the point 1,-1

Lilit [14]

The equation of line parallel to given line is: $y = \frac{2}{3}x-\frac{5}{3}$

Step-by-step explanation:

Given equation of line is:

$y = \frac{2}{3}x+2$

As the line is in slope-intercept form, the co-efficient of x is the slope of the line

So,

$m_1 =\frac{2}{3}$

Let m2 be the slope of required line

As both the lines are parallel,

$m_1 = m_2$

So,

$m_2 = \frac{2}{3}$

The slope intercept form of line is:

$y = mx+b$

Putting the value of the slope

$y = \frac{2}{3}x+b$

To find the value of b, putting (1,-1) in the equation

$-1 = \frac{2}{3}(1) +b\\-1 = \frac{2}{3} +b\\b = -1-\frac{2}{3}\\b = \frac{-3-2}{3}\\b = \frac{-5}{3}$

Putting b=-5/3 in the equation

$y = \frac{2}{3}x-\frac{5}{3}$

Hence,

The equation of line parallel to given line is: $y = \frac{2}{3}x-\frac{5}{3}$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

5 0

3 years ago

Express the answers to the following calculations in scientific notation

svetoff [14.1K]

(a) 0.0095 + (8.5 x 10^-3) = 0.0095 + 0.0085 = 0.018 = 1.8 x 10^-2

(b) 653 + (5.75 x 10^-8) = 653 + 0.0000000575 = 653.0000000575 = 6.530000000575 x 10^2

(c) 850,000 – (9.0 x 10^5) = 850,000 - 900,000 = -50,000 = -5.0 x 10^4

5 0

4 years ago

Lenicia is a waitress and just received $12.45 for a tip for a meal that cost $56.75. Is the percentage of her tip above or belo

Advocard [28]

That is 8.51 which means it is over 4 dollars above the standard pay. All you have to do is mainly make the 15% into a decimal (which means to move the decimal places twice to the right so it is .15) and then multiplying it by 56.75. There it would show you how much it is for the supposed to be 15% tax which is 8.51. Since they gave her 12.45, then yes they gave her more than expected.

6 0

3 years ago

Read 2 more answers

What number is 10,000 less than 337,676

timurjin [86]

327676...............................

7 0

3 years ago

Read 2 more answers

3200 dollars is placed in an account with an annual interest rate of 8.25%. To the nearest tenth of a year, how long will it tak

Whitepunk [10]

Answer:

24.2 years

Step-by-step explanation:

The basic formula is I = P * i * t, where I is interest, P is total principal (or profit), i is rate of interest per year, and t is total time in years. I = P * i * t can be rearranged to solve for t: t = I / (i * p).

In this question I = $6400, P = $3200 and i = 8.25%, so we plug in those numbers to get t = 6400 / (0.0825 * 3200), which solves to 24.2424 years.

3 0

4 years ago