Step-by-step explanation:
In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.
We know that the sum of angles of a triangle is equal to 180 degrees. It means that,
x+x+x=180
3x=180
x=60°
Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60° angles. Hence, △ABC is an equilateral triangle
![y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\ y''(0)=20\cdot0^3=0](https://tex.z-dn.net/?f=y%3Dx%5E5-3%5C%5C%20y%27%3D5x%5E4%5C%5C%5C%5C%205x%5E4%3D0%5C%5C%20x%3D0%5C%5C%200%5Cin%20%5B-2%2C1%5D%5C%5C%5C%5C%20y%27%27%3D20x%5E3%5C%5C%5C%5C%0Ay%27%27%280%29%3D20%5Ccdot0%5E3%3D0)
The value of the second derivative for
is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of
is always positive for
. That means at
there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval
![[-2,1]](https://tex.z-dn.net/?f=%5B-2%2C1%5D)
.
The function
is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.
These are the answers to your questions
a.In short supply
b.5
c.5
<u>Answer:</u>
The expected value of construction company is $30500.
<u>Solution:</u>
Given, A construction company is planning to bid on a building contract.
The bid costs $1,500 and has an 80% chance of being accepted.
If accepted, the company will receive $40,000 dollars.
We have to find the expected value.
We know that,
Expected value = probability 
amount gained by bidding – bid amount
Expected value = 80% x 40000 – 1500
Expected value = 0.8 x 40000 – 1500
Expected value = 32000 – 1500
Expected value = 30500
Hence, the expected value is $30500.
Answer:x=-2 y=-6
Step-by-step explanation:
11x+4y=-46..........(1)
7x-4y=10..............(11)
Add (1) and (11)
11x+7x+4y-4y=-46+10
18x=-36
Divide both sides by 18
18x/18=-36/18
x=-2
substitute x=-2 in (11)
7x-4y=10
7(-2)-4y=10
-14-4y=10
Collect like terms
4y=-14-10
4y=-24
Divide both sides by 4
4y/4=-24/4
y=-6
