The inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10
<h3>Graph of Inequality</h3>
From the question, we are to determine the inequality that represents the graph
First, we will assume the inequality is a straight line and we will determine the equation of the line
From the graph, we have two points on the line
(0, -2) and (5, -1)
Using the formula for the equation of a line with two given point
(y - y₁)/(x -x₁) = (y₂ - y₁)/ (x₂ - x₁)
x₁ = 0
y₁ = -2
x₂ = 5
y₂ = -1
Thus,
(y - -2)/(x - 0) = (-1 - -2)/ (5 - 0)
(y +2)/(x - 0) = (-1 + 2)/ (5 - 0)
(y +2)/(x ) = 1/ 5
5(y + 2) =1(x)
5y + 10 = x
5y = x - 10
y = 1/5(x) - 2
y = x/5 - 2
Now,
Since the solution is below the line and the line is dotted
The inequality becomes
y < x/5 -2
OR
5y < x - 10
Hence, the inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10
Learn more on Graph of Inequality here: brainly.com/question/17106134
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Answer:
Step-by-step explanation:
I think x=-2
To convert a repeating decimal to a fraction, your goal is to g<span>et the numbers to the left of the decimal point to be the same</span>
To find the slope use the Rise over Run rule
It rises 2 units and runs 1 unit, so your slope is
2 or 2/1
To find the y-intercept just find where the line crosses the y-axis
it crosses at the -4 mark
Your slope is 2 and y-intercept is -4
<h2><u>Polynomial Function</u></h2>
<h3>Evaluate the following function: Show all work! h(x)=3x²+2-2x, Find h(-2)</h3>
To determine the answer, substitute the given value to the function and simplify.
- h(x) = 3x² + 2 - 2x; h(-2)
- h(-2) = 3(-2)² + 2 - 2(-2)
- h(-2) = 3(4) + 2 + 4
- h(-2) = 12 + 2 + 4
- h(-2) = 14 + 4
- h(-2) = 18
<u>Answer:</u>
Wxndy~~