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algol13
3 years ago
13

1) The scatter plot below shows the distance Destiny traveled on her cycling trip for various lengths of time during the trip. W

hat equation could describe the line of best fit for the scatter plot?
2) Estimate an equation for the line of best fit for the following scatter plot for the post high school education and salary


please show your work

Mathematics
1 answer:
prisoha [69]3 years ago
4 0
To determine the equation of the best fit line, the graphical approach can be done. A line is used in between the given points. Then, the slope and the y-intercept of the line is determined to give us the equation. The equations of two scatter plots are
y = 0.22 x + 0.46
y = 8x + 8.25<span />
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in question 9-12,determine if the equation of the line is in point-slope form or slope-intercept form and determine the slope of
rusak2 [61]
9 and 12 are slope-intercept form and 10 and 11 are point-slope form
4 0
3 years ago
What is the equation of the line that is perpendicular to y= -3x + 1 and passes through (2,3)?
Aleonysh [2.5K]

Answer:

\large\boxed{y=\dfrac{1}{3}x+2\dfrac{1}{3}}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=-3x+1\to m_1=-3.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-3}=\dfrac{1}{3}.\\\\\text{The equation of the searched line:}\ y=\dfrac{1}{3}x+b.\\\\\text{The line passes through }(2,\ 3).

\text{Put the coordinates of the point to the equation.}\ x=2,\ y=3:\\\\3=\dfrac{1}{3}(2)+b\\\\3=\dfrac{2}{3}+b\qquad\text{subtract}\ \dfrac{2}{3}\ \text{from both sides}\\\\b=2\dfrac{1}{3}

3 0
3 years ago
Read 2 more answers
Help pls and explain !!
Aneli [31]

Answer:

d) 5/3 x

Step-by-step explanation:

You substitute a for 2c and b for 5d, so your equation will look like this:

c/d - 2c/5d = x

Then you just simplify into x by making c/d into 5c/5d so you have a common denominator.

5c/5d - 2c/5d = x

3c/5d = x

5/3 is your answer

6 0
3 years ago
Read 2 more answers
The sets of numbers 3, 4, 5 and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain o
konstantin123 [22]

Answer:

When we have 3 numbers, like:

a, b and c.

Such that:

a < b < c.

These numbers are a Pythagorean triplet if the sum of the squares of the two smaller numbers, is equal to the square of the larger number:

a^2 + b^2 = c^2

This is equivalent to the Pythagorean Theorem, where the sum of the squares of the cathetus is equal to the hypotenuse squared.

Now that we know this, we can check if the given sets are Pythagorean triples.

1)  3, 4, 5

Here we must have that:

3^2 + 4^2 = 5^2

solving the left side we get:

3^2 + 4^2 = 9 + 16 = 25

and the right side:

5^2 = 25

Then we have the same in both sides, this means that these are Pythagorean triples.

2) 8, 15, 17

We must have that:

8^2 + 15^2 = 17^2

Solving the left side we have:

8^2 + 15^2 = 64 + 225 = 289

And in the right side we have:

17^2 = 17*17 = 289

So again, we have the same result in both sides, which means that these numbers are Pythagorean triples

4 0
3 years ago
Determine if each equation is a linear equation.
Lady_Fox [76]

Answer:

Linear-1,2,3,6

Nin-Linear-4,5

Step-by-step explanation:

A linear equation is an equation in which the highest power of the  variable is 1.

Out of the given equations, the following are linear.

1) 5x_1 + x_2 - 7x_3 = 4

2) 5x_1 + 4.6x_2 + 12x_3 = -5

3) 3x_1 - x_3 = -5x_2 + 7

6) 6x_1 - 4x_2 + x_3 = 0

These equations on the other hand are nonlinear.

4) 3x_1x_2 + x_3 = 5

5) 4x_1^3 + x_2 = 5

No 4 contains a term which is the product of two variables therefore it is not linear.

No 5 contains a term whose highest power is 3. Such an equation is a Cubic Equation.

4 0
3 years ago
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