Answer:
x = 12
Step-by-step explanation:
By basic proportionality theorem,
The graph of y= - 1/2x+2 is positive over the interval (4, infinity) and negative over the interval (-infinity, 4) .What happens
on the graph when x=4? explain
1 answer:
The graph of y=ax+b, where a≠0, is always a line:
i) increasing if a>0
ii) decreasing if a<0
Consider the decreasing case.
The line is above the x-axis, that is positive but decreasing. At 1 single point it cuts the x-axis, so x=0, and then it continues decreasing below the x-axis.
Back to our problem:
The graph of y=-1/2 x +2 is a decreasing line.,
so it CANNOT be
"positive over the interval (4, infinity) and negative over the interval (-infinity, 4)"
it is
"<span>negative over the interval (4, infinity) and positive over the interval (-infinity, 4)</span>"
the graph is "<span>positive over the interval (-infinity, 4)</span>", it means that the line is decreasing but above the x-axis until 4, (4 not included).
then, "negative over the interval (4, infinity)", which means that the line is now decreasing below the x-axis.
when x=4, the line cuts the x-axis.
check the graph of the line generated using desmos.com
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Answer:
- See below
Step-by-step explanation:
<u>Use points:</u>
- J(-2, -4), K(-3, -3), L(-5, -5)
<u>Apply the rule:</u>
- (x, y) → (x + 2, y + 4)
<u>New points are:</u>
- J'(0, 0), K'(-1, 1), L'(-3, -1)
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
<h3>How to graph inequality?</h3>Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.
The given linear inequality is,
Solve it further,
Change the inequality with changing the sign of it,
The inequality equation is graphed, which can be shown in the image provided below. In this graphed equation,
- The inequality is shaded with dotted line.
- As the equation is linear. Thus, in the graph, a straight line is plotted.
- The sign in of greater than. Thus, the left of the line is shaded.
Thus, on a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
Learn more about the graph of the inequality here;
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