Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
For the given function h(x), we have:
a) at x = -2 and x = 2.
b) y = 0 and y = 3.
<h3>
How to identify the maximums of function h(x)?</h3>
First, we want to get the values of x at which we have maximums. To do that, we need to see the value in the horizontal axis at where we have maximums.
By looking at the horizontal axis, we can see that the maximums are at:
x = -2 and at x = 2.
Now we want to get the maximum values, to do that, we need to look at the values in the vertical axis.
- The first maximum value is at y = 0 (the one for x = -2)
- The second maximum is at y = 3 (the one for x = 2).
If you want to learn more about maximums:
brainly.com/question/1938915
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Answer:
Step-by-step explanation:
Given
See attachment
From the attachment, we have:
First, we need to calculate length LM,
Using Pythagoras theorem:
Collect Like Terms
Solving (a): 
Substitute values for MN and LN
Solving (b): 
Substitute values for LM and MN
Solving (c): 
Substitute values for LN and LM
Solving (d): 
Substitute values for LM and LN
The amount of liters is 200,if the orange juice is x than grape juice. 200-x
45x+35(200-x)=200*40
45x+7000-35x=8000
10x=1000
x=100
Answer:
B is the correct chose
Step-by-step explanation:
