Mathematics, 27.09.2019 06:30 kathysanchezz26

What is the relationship among proportional relationships lines, rates of change, and slope?

Answers: 2

Show answers

Answers

It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)

Answer from: WritingStar1313

First of all, let's define some concepts. In mathematics, proportional relationships happen when two values always change by the same multiple. That is, when one doubles, the other doubles as well. So, you can always reduce a proportional relationship to the same equation as follows:

$y=kx \\ where \ k \ is \ the \ proportionality \ constant$

This constant is also the slope of the straight line.

On the other hand, the average rate of change between any two points $(x_{1},f(x_{1}) \ and \ (x_{2},f(x_{2})$ is the slope of the line through the two points. The line through the two points is called the secant line and its slope is denoted as $m_{sec}$ , so:

$ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} \\ \\ \therefore ARC=\frac{Change \ in \ y}{Change \ in \ x}=m_{sec}$

Finally, The slope of a nonvertical line is the number of units the line rises (or falls) vertically for each unit of horizontal change from left to right, so:

$Slope=\frac{change \ in \ y}{change \ in \ x}=\frac{rise}{run}$

So, we can say that the relationship of these three concepts is that they all talk about the slope of a curve.

Answer from: Quest

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.

Answer from: Quest

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

In the diagram of circle o, what is the measure of abc? 210 150

Another question on Mathematics

Mathematics, 21.06.2019 14:50

Simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2 . (1 point) 2 square root of 8 8 square root of 2 8 square root of 6 6 square root of 8

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

The first floor of marcus’ house is 1,440 square feet. he will cover 1,033 square feet with wood and the rest with tile. a box of tiles will cover 11 square feet. how many boxes of tile does marcus need to buy to cover the floor?

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

Jane moves from a house with 71 square feet of closet space to an apartment with 45.44 square feet of closet space. what is the percentage decrease of jane’s closet space?

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line