Divide -3
-3/-3a = 15/-3
a = -5
The degree is 4 because it is the largest exponent out of all the variables.
Y intercept = when x = 0
Plug in x = 0
0 + 3y = 6
3y = 6, y = 2
Solution: a, (0,2)
Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams
Step-by-step explanation:
Given
Cholesterol in 3.5 ounces = 75 mg
Cholesterol in 6 ounces =x= ?
This can be worked out by using proportions
It can be written as:
Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams
Keywords: Proportions, Conversion
Learn more about proportions at:
#LearnwithBrainly
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.