How is this solved? graph and explanation would be helpful
1 answer:
As a rule, you plot the lines as though the equations had an equal sign. Because both are strict inequalities (no "or equal to"), the lines are dashed, indicating the (x, y) values on the line are NOT part of the solution.
The solution space will be above the first line (y > ...) and below the second line (y < ...). As a rule, you indicate the solution space by shading the portion of hte plane that satisfies the inequality.* The solution is the portion of the plane that is in both solution regions (that is, doubly-shaded).
_____
* Sometimes, it may actually work better to shade the portion of the plane that does NOT satisfy the inequality. That way, the remaining unshaded area is the solution space. If you do it that way, make sure the graph is clearly marked indicating that is the case. The usual expectation is that the shaded area is the solution, so you don't want to get your answer marked wrong or misinterpreted.
The solution space will be above the first line (y > ...) and below the second line (y < ...). As a rule, you indicate the solution space by shading the portion of hte plane that satisfies the inequality.* The solution is the portion of the plane that is in both solution regions (that is, doubly-shaded).
_____
* Sometimes, it may actually work better to shade the portion of the plane that does NOT satisfy the inequality. That way, the remaining unshaded area is the solution space. If you do it that way, make sure the graph is clearly marked indicating that is the case. The usual expectation is that the shaded area is the solution, so you don't want to get your answer marked wrong or misinterpreted.
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<h2>Hello!</h2>
The answers are:
a)
b)
First, we need to know that for this case:
So,
We must add to the expression in order to form a perfect square trinomial,
Writing the trinomial as a binomial square:
Have a nice day!
Answer:
Step-by-step explanation:
We are going to find the slope by lining up the points vertically and subtract, then put 2nd difference over first.
Also you could just use . It is the same thing.
( 5 , 5)
-( 1 , 3)
--------------
4 2
So the slope is 2/4 or 1/2 after reducing.
The point-slope form a line is
with a point on the line
given and with slope
given.
We are going to solve this for y and simplify what we can because our goal is y=mx+b; this is slope-intercept form. It is called that because it tells us the slope,m, and the y-intercept,b.
Distribute:
Add 3 on both sides:
Simplify: