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polet [3.4K]
3 years ago
11

How to find vertex form

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0
Y = x^2 - 6x + 7
a = 1
b = -6
c = 7

Before you get the A.O.S, you must first solve for the vertex.
The vertex formula is \frac{-b}{2a} 

Plug in the numbers:
-(-6) / 2(1)
--6 = 6 and 2*1 = 2
6/2
Vertex (or x) = 3

Now you have to plug in the x in order to find the vertex (or y)
Your equation should now look like this;
y = (3)^2 - 6 (3) +7
Solve each part separately and then add it up...

3^2 = 9
-6 * 3 = -18
+7

9 - 18 + 7
A.O.S (or y) = -2

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Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation option
denis-greek [22]

Answer:

The probability that he teleports at least once a day =  \mathbf{\frac{5}{9}}

Step-by-step explanation:

Given -

Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation options teleport ride a dragon or walk to work and in the evening he has the same three choices for his trip home.

Total no of outcomes = 3

P( He not choose teleport in the morning ) = \frac{2}{3}

P( He not choose teleport in the evening ) = \frac{2}{3}

P ( he choose teleports at least once a day ) = 1 - P ( he not  choose teleports in a day )

                                                         = 1 - P( He not choose teleport in the morning ) \times P( He not choose teleport in the evening )

                                          =  1 - \frac{2}{3}\times\frac{2}{3}

                                           =  \frac{5}{9}

3 0
3 years ago
I need help on these two.
Naily [24]
The answer to the first question is 30.

8 0
3 years ago
Suppose you are making granola bars with 3 cups of oats. How much quinoa, flaxseed, and soy protein would you use would you need
Andreas93 [3]

Answer: \frac{3}{4}\ cup of quinoa, \frac{3}{8}\ cup of flaxseed, 1\ cup of soy protein.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

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Based on the table you can write the following proportion:

\frac{\frac{1}{2} }{2}=\frac{q}{3}

Solving for "q", you get:

\frac{1}{4}=\frac{q}{3}\\\\q=\frac{3}{4}

 Let be "f" the amount of cups of flaxseed you'd need to use making the granolas with 3 cups of oats.

With the data given in the table you can write the following proportion:

\frac{\frac{1}{4} }{2}=\frac{f}{3}

Solving for "f", you get:

\frac{1}{8}=\frac{f}{3}\\\\f=\frac{3}{8}

Let be "s" the amount of cups of soy protein you'd need to use making the granolas with 3 cups of oats.

Using the table you can write this proportion:

\frac{\frac{2}{3} }{2}=\frac{s}{3}

Solving for "s", you get:

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LekaFEV [45]

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