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Daniel [21]
2 years ago
7

Need help on this asap actual explanation!

Mathematics
1 answer:
Mrac [35]2 years ago
3 0

Answer:

Vertex means the highest or lowest coordinate in a parabola (and also absolute value)

Here we see the lowest point is (-2,0), so the vertex is (-2,0)

A standard quadratic equation is written as a(x-h)^2+k

h and k are the vertex coordinate h is x and k is y

so by finding the vertex we found that h = -2 and k = 0

so you plug it in

a(x-(-2))^2+0=y

a(x+2)^2=y

when finding a, you take a random point in the graph and plug it in and solve it

lets take (-1,1)

so its a(-1+2)^2 = 1

a(1)^2 = 1

a=1

so the equation will be 1(x+2)^2 = y or (x+2)^2=y (don't need to write the 1)

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

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3.25 liters.

<h3>Further explanation</h3>

<u>Given:</u>

  • Mrs.Henderson makes punch by mixing 10.9 liters of apple juice, 0.6 liters of orange juice, and 8 liters of ginger ale.
  • She poured equally into 6 bowls.

<u>Question:</u>

How much punch is in each bowl?

Express your answer in liters.

<u>The Process:</u>

The two steps for obtaining the amount of punch in each bowl are as follows:

<u>Step-1: </u>the total amount of punch after mixing is the sum of apple juice, orange juice, and ginger ale in liters.

\boxed{ \ 10.9 \ liters + 0.6 \ liters + 8 \ liters = 19.5 \ liters \ }

<u>Step-2: </u>the total amount of punch divided by the number of the bowl is the amount of punch in each bowl.

\boxed{ \ 19.5 \ liters \div 6 \ bowls = \boxed{ \ 3.25 \ liters/bowl \ } \ }

Let's also consider the following quick steps.

<u>Quick steps:</u>

\boxed{ \ \frac{(10.9 + 0.6 + 8) \ liters}{6 \ bowls} = \frac{19.5 \ liters}{6 \ bowls} = \boxed{ \ 3.25 \ liters/bowl \ } \ }

Therefore, the amount of punch in each bowl is 3.25 liters.

<h3>Learn more</h3>
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Keywords: Mrs.Henderson, makes punch by mixin, 10.9 liters of apple juice, 0.6 liters of orange juice, 8 liters of ginger ale, 6 bowls, how much punch is in each bowl? express your answer in liters, the amount, sum, divide

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