Mathematics, 29.02.2020 01:28, jruiz33106

The height of a hill, h(x), in a painting can be written as a
function of x, the distance from the left side of the painting
Both hix) and x are measured in inches
What is the height of the hill in the painting 3 inches from
the left side of the picture?
() --
0
-13
6 inches
13 inches
30 inches
150 inches

Answers: 2

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Answers

answered: alexchou773pejk7x

First option: $6\ inches$

Step-by-step explanation:

The complete exercise is: "The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. Both h(x) and x are measured in inches $h(x) = -\frac{1}{5}(x)(x -13)$ . What is the height of the hill in the painting 3 inches from the left side of the picture?

You have the following function provided in the exercise:

$h(x) = -\frac{1}{5}(x)(x -13)$

You know that h(x) represents the height of the hill (in inches) and "x" represents the distance from the left side of the painting (in inches)

Knowing that you can determine that, if the painting 3 inches from the left side of the picture, the value of "x" is the following:

x=3

Therefore, you need to find the value of h(x) when x=3 in order to solve this exercise.

So, the next step is to substitute x=3 into the function:

$h(x) = -\frac{1}{5}(3)(3 -13)$

And finally, you must evaluate in order to find h(3) .

You get that this is:

$h(3) = -\frac{1}{5}(3)(-10)\\\\h(3) = -\frac{1}{5}(-30)\\\\h(3)=6$

answered: Guest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

answered: Guest

50x5=$250

step-by-step explanation:

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The height of a hill, h(x), in a painting can be written as a
function of x, the distance from...