Mathematics, 07.07.2019 21:30 shaheedbrown06

Graph the function with the given description. a linear function h models a relationship in which the dependent variable increases 1 unit for every 5 units the independent variable decreases. the value of the function at 0 is 3.

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Answer from: dragonslayer321

The function is an illustration of a linear function.

See attachment for the graph of $\mathbf{h(x) =-\frac{1}{5}x + 3}$

Let the independent variable be x

The highlights are given as:

The value of the function at 0 is 3. i.e. h(0) = 3When the independent variable decreases by 5 (i.e. -5), the independent variable increases by 1. So, the slope (m) is -1/5

From the above highlights, we have:

$\mathbf{m = -\frac{1}{5}}$ --- the slope

$\mathbf{b = 3}$ --- the y-intercept

A linear equation is represented as:

$\mathbf{h(x) =mx + b}$

So, we have:

$\mathbf{h(x) =-\frac{1}{5}x + 3}$

See attachment for the graph of $\mathbf{h(x) =-\frac{1}{5}x + 3}$

Read more about linear functions at:

link

Graph the function with the given description. a linear function h models a relationship in which th

Answer from: sandovalito

We are given the value of the function at 0 is 3.

Therefore, we can make a coordinate of the function (0,3) and it represents y-intercept =3.

We are given dependent variable increases 1 unit for every 5 units the independent variable.

x is the independent variable and y is the dependent variable.

Therefore, for every 1 unit increase in y there is an increment of 5 units of x.

Therefore, we can say slope rise/run = 1/5.

Now, we would plug y-intercept =3 on the graph first and then plot some more points using rise/run = 1/5.

Answer from: Quest

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step-by-step explanation:

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Answer from: Quest

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

Identify the transformation that maps the figure with center (7, 1) onto itself. a) rotate 180° cloc

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