Answer: n=1/5
Hope this helps!
1. To find the vertex of a parabolla whose equation is written in the standard form, you must apply the following proccedure:
2. You have:
y=-0.18x²+4.4x-12
a=-0.18
b=4.4
3. You must apply the following formula:
<span>
x=-b/2a
x=-4.4/2(-0.18)
x=-4.4/-0.36
x=12.22
4. When you susbtitute x=12.22 into the equation </span>y=-0.18x²+4.4x-12, you obtain:
y=-0.18x²+4.4x-12
y=-0.18(12.22)²<span>+4.4(12.22)-12
</span> y=14.88 feet
5. The answer is: The maximum height of the tunnel is <span>14.88 feet</span>
Answer:
h = (10 ft)(1.428) = 14.28 ft
Step-by-step explanation:
Represent the height of the nest by h. This is the vertical side of a triangle. The horizontal side is 10 ft.
The following relationship is true:
tan 55 degrees = (opposite side) / (adjacent side), and in this case,
tan 55 degrees = h / 10 ft, so that:
h = height of nest = (10 ft)(tan 55 degrees), or
h = (10 ft)(1.428) = 14.28 ft
≥The solution of an inequality is an interval, i.e. a range.
To prove that the interval found as solution, you must consider several cases.
1) In the case that the ineguailty is ≥ or ≤, first use the limits of the interval to prove they are valid solutions. This is, replace the limit values, one at a time, and verifiy the inequality.
2) If the sign is ≥ or > use a value to the right of the limit value to show that the values to the right are solution, and use a value to the left to show that they are not solution.
3) If the sign is ≤ or <, use a value to the left of the limit value to show that it is a solution and a value to the right of the limit value to show that it is not a solution.
