Which of the following inequalities matches the graph?
2 answers:
Answer:
x≤5
Step-by-step explanation:
Which of the following inequalities matches the graph?
graph of an inequality with a solid vertical line through the point 5, 0 and shading to the left of the line
Here are steps to draw the inequality graph
1. draw a vertical line
2. draw an horizontal line to intercept the vertical line
3. calibrate the vertical lines with numbers starting from one, at 1 intervals.
3. do same for horizontal lines.
4. the point of interception of the two lines is the origin zero. The upper line is the positive y axis and the downward part is negative.
The right side is the positive x direction while the left side is negative y direction
5. mark a point (5,0)= 5 is on the x-axis, while 0 is on the y axis. drwa a vertical line that cuts across the the point.
6. shade the left part of the line.
Answer: the inequality that matches de graph is x ≤ 5.
Explanation:
1) The vertical line through the point (5,0) is represented by x = 5.
2) The area to the left of the vertical line x = 5 contents all the points whose x-coordinate is less than five.
Please, find attached the figure with the graph described in the question.
3) A solid line is used to indicate that the points on the line are included in the solution region (a dashed line is used to indicate that the points on the line are excluded)
Therefore, the graph includes the points on the line x = 5 and the points with x-coordinate less than 5.
4) Hence, you have to use an inequality with the symbol ≤, which means less than or equal to.
x ≤ 5 means less than or equal to 5, which is the inequality searched.
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Hello!
You can use the Pythagorean Theorem to solve this.
c is the hypotenuse which is the side opposite of the right angle
a and b are the other sides
Put in the values you know
Square the numbers
Subtract 576 from both sides
Take the square root of both sides
a = 7
The answer is 7
Hope this helps!
You can use the Pythagorean Theorem to solve this.
c is the hypotenuse which is the side opposite of the right angle
a and b are the other sides
Put in the values you know
Square the numbers
Subtract 576 from both sides
Take the square root of both sides
a = 7
The answer is 7
Hope this helps!
Call these numbers . Then
or
.
We want to maximize their product,
We could consider the derivative, but I think that's overkill. Instead, let's complete the square:
whose graph is a parabola opening downward with vertex at , so that the maximum product is
.
Now if , it follows that
.