Step-by-step explanation:
HELIUM: To fill air balloon
ARGON: Used for filling incandescent metal filament electric bulbs
Discussion
1. Put brackets around the first two terms
y = (-x^2 + 6x) + 5
2. Take out the common factor of -1
y = -(x^2 - 6x) + 5
3. Inside the brackets, take 1/2 of - 6 and square it
y = -(x^2 - 6x + ( - 6 / 2)^2 ) + 5
y = -(x^2 - 6x + (- 3)^2 ) ) + 5
y = -(x^2 - 6x + 9 ) + 5
Note: Step 3 is very long. Make sure you work your way through it
4. You have added 9 inside the brackets. <em><u>It is actually - 9. So add 9 outside to balance the equation out. </u></em> This is the key step. Make sure you understand it.
y = - (x^2 - 6x + 9) + 5 + 9
5. Express the brackets as a square.
y = - (x + 3)^2 + 14
Discussion
The equation is now in vertex form. The minus tells you that the equation is a maximum. The maximum is located at ( - 3, 14 )
A graph follows to show the results.
Answer:
=
3
Step-by-step explanation:
1. subtract
8 from both sides of the equation
2
. Simplify
3
. Add 5
5x
5x to both sides of the equation
4
. Simplify
5
. Divide both sides of the equation by the same term
6
. Simplify
<h2>Explanation:</h2><h2 />
The question is incomplete so I'll assume the segment LM is defined by these two points:

So we can find the length of the segment by using the distance formula:

Answer:
C. or 3 1/4
Step-by-step explanation:
First, turn all of the amount of fruits (Grapes, Melon, and Pineapple) into an improper fraction.
Grapes: 11/3
Melon: 9/4
Pineapple: 11/4
Then, make a common denominater for each fraction, which is 12, add all of them up. Since you know that the amount of strawberries that Maria uses is 3/8 TIMES the amount of the other fruits, so you multiply the fruits by 3/8.
Grapes: 44/12
Melon: 27/12
Pineapple: 33/12
44/12 + 27/12 + 33/12 times 3/8
= 104/12 times 3/8
= (if you simplify) 13/4 times 1/1 (1/1 = 1)
= 13/4
= 3 1/4
So, the answer is C. 3 1/4
(I hope this helped. Sorry if I was too slow.)