Answer:
y = 4x^5 - 12x^4 + 6x and
y = 5x^3 - 2x
Step-by-step explanation:
The system of equations that can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x are;
y = 4x^5 - 12x^4 + 6x and
y = 5x^3 - 2x
We simply formulate two equations by splitting the left and the right hand sides of the given equation.
The next step is to graph these two system of equations on the same graph in order to determine the solution(s) to the given original equation.
The roots of the given equation will be given by the points where these two equations will intersect.
The graph of these two equations is as shown in the attachment below;
The roots are thus;
x = 0 and x = 0.813
The height of crate is 3 feet
<em><u>Solution:</u></em>
Given that Summer Dave builds a crate to hold vegetables
Volume of crate = 48 cubic feet
Base area of crate = 16 square feet
To find: height of crate
The crate is of shape cuboid
The volume of cuboid is given as:
![volume = length \times width \times height](https://tex.z-dn.net/?f=volume%20%3D%20length%20%5Ctimes%20width%20%5Ctimes%20height)
We know that,
![Area\ of\ base = length \times width](https://tex.z-dn.net/?f=Area%5C%20of%5C%20base%20%3D%20length%20%5Ctimes%20width)
Therefore, volume becomes,
![volume = base\ area \times height](https://tex.z-dn.net/?f=volume%20%3D%20base%5C%20area%20%5Ctimes%20height)
Substituting the given values we get,
![48 = 16 \times h\\\\h = \frac{48}{16}\\\\h = 3](https://tex.z-dn.net/?f=48%20%3D%2016%20%5Ctimes%20h%5C%5C%5C%5Ch%20%3D%20%5Cfrac%7B48%7D%7B16%7D%5C%5C%5C%5Ch%20%3D%203)
Thus height of crate is 3 feet
Formula: n-2(180)
n = number of sides
6-2(180) = 720 degrees
Answer:
<h2>The speed of the airplane is 475 miles/hour and the wind is 25 miles/hour.</h2>
Step-by-step explanation:
Let, the speed of the airplane is x miles/hour and the wind is w miles/hour.
With the wind, the speed will be (x + w) miles/hour and against the wind, the speed will be (x - w) miles/hour.
As per the given question,
or, w = x - 450.
Now,
.
Thus, w = 475 - 450 = 25.