Answer:
y = 35
Step-by-step explanation:
Answer:
The answer to your question is Vertex = (-6 , 4)
Step-by-step explanation:
Data
Equation y = -x² - 12x - 32
Process
1.- Add 32 units in both sides
y + 32 = -x² - 12x - 32 + 32
2.- Simplify
y + 32 = -x² - 12x
3.- Factor -1 in the right side
y + 32 = -(x² + 12x )
4.- Complete the perfect square trinomial
y + 32 - 6² = -(x² + 12x + 6²)
5.- Simplify
y + 32 - 36 = -(x + 6)²
y - 4 = -(x + 6)²
6.- Find the vertex
Vertex = (-6 , 4)
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<h3>There are 135 bottles in all</h3>
<em><u>Solution:</u></em>
Given that,
A truck is carrying grapefruit juice, mango juice and orange juice bottles in a ratio of 1:1:7
Ratio = 1 : 1 : 7
Let the number of grape fruit juice bottles be 1x
Let the number of mango juice bottles be 1x
Let the number of orange juice bottles be 7x
There are 105 orange juice bottles
Therefore,
7x = 105
Divide both sides by 7
x = 15
Therefore,
number of grape fruit juice bottles = 1x = 15
number of mango juice bottles = 1x = 15
number of orange juice bottles = 7x = 105
Thus,
Total bottles = 15 + 15 + 105 = 135
Thus there are 135 bottles in all
