Hey there!
2x + 1 < 5
SUBTRACT 1 to BOTH SIDES
2x + 1 - 1 < 5 - 1
SIMPLIFY IT!
2x < 5 - 1
2x < 4
DIVIDE 2 to BOTH SIDES
2x/2 < 4/2
SIMPLIFY IT!
x < 4/2
x < 2
Therefore, your answer is: x < 2
(The graph is down below)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Notice that for this question, they are providing you with:
1) The slope of the line (4)
2) a point on the plane through which the line goes (6, -2)
So you can directly use for this the "point-slope" form of a line which is as follows:

This includes m as the slope, and the pair (x0, y0) as the pair representing the point the line goes through.
So, let's use the info they gave you to complete this:

which we can work out a little more:

And even a little more to finish the equation of the line in its standard slope-intercept form:

So the equation of the line is:
Answer: 7.2%
Step-by-step explanation:
First find the difference between the amounts.
7,400, 000 - 6, 900,000 = 500, 000
Now divide the obtain number by the original number which is 6,900,000
500, 000/ 6,900,000 = 0.07246
Multiply 0.07246 by 100 to convert it to a percent.
0.07246 = 7.2463..%
Round it to the nearest tenth of a percent.
7.2463.. rounded to the nearest tenth is 7.2%
We have that

we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum
step 1
convert the equation of the parabola in the vertex form

the vertex (h,k) is the point (0,36)
Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)
Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0

the points are (-6,0) and (6,0)
see the attached figure