What is t-19 / 7 Algebra.
1 answer:
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Answer:
y > 0.6x - 1.5
Step-by-step Explanation:
We need two points, to get to the equation of the graph.
Since we've got the following equation for two points (x1, y1), (x2, y2):-
okay soo
I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.
one point is <u>(0, -1.5)</u> which lies on the y axis(the point where the dotted line touches the y axis)
other point is <u>(2.5, 0)</u> and this lies on the x axis
placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation
you can take any one as (x1, y1) or (x2, y2).
so upon solving the above equation we get
multiplying both sides by 5
okay so this is the required equation of the dotted line
now we'll find the inequality
for this check whether the origin (0,0) lies under the shaded region or not
in this case it does
so
replacing x and y with 0
this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality
7.5 is greater than 0! so,
this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality
dividing this inequality by 5, since there's no co-efficient in front of y in the given answers
we get
y + 1.5 > 0.6x
taking 1.5 to the RHS
<h3>y > 0.6x - 1.5 </h3>that is the last option
Answer:
<h2>The fourth graph, from left to right, is the correct answer.</h2>Step-by-step explanation:
The given piecewise function is
Notice that the domain of the function specifies that, from zero to three, the function represents a decreasing (because the variable is negative) straight line. When the function is defined from 3 to infinite, the function is a constant of 5.
<em>So, the right graph must shows first a decreasing line, where the initial point is solid and the final point is empty, as the fourth fraph (from left to right), then it must show a horizontal line with an initial point solid.</em>
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Therefore, the fourth graph, from left to right, is the correct answer.