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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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Find the slope of the line that would pass
Leno4ka [110]

Answer:

10

Step-by-step explanation:

Here we go!

Slope Formula:

\frac{ {y}^{2} -  {y}^{1}  }{ {x}^{2} -  {x}^{1} }

What we know: (-4, -52) and (-1, -22)

Plug in the numbers!

\frac{ - 52 - ( - 22)}{ - 4 - ( - 1)}

Fix it!

\frac{ - 52 + 22}{ - 4 + 1}

Add

\frac{ - 30}{ - 3}

Divide

(negative divided by a negative is a positive!!)

Slope is 10

Hope this helps!

4 0
3 years ago
Tony separates a number of paintbrushes, x, into 3 equally sized groups. He claims that this is the same as making a group 1/3 t
DochEvi [55]

Answer:

Size of each group = \frac{x}{3}

Step-by-step explanation:

Total number of paint brushes = x

Since each the three groups are equally sized, to get the number of paintbrushes in a group, we will have to divide the total number of paint brushes by 3

∴ We have, number of paint brushes in a group = \frac{Total number of paintbrushes}{3}\\

= \frac{x}{3}

this is also the same thing as saying \frac{1}{3}×\frac{x}{1}

This shows that the size of the new group is the same as \frac{1}{3} the size of the original group

4 0
3 years ago
What is the difference between independent and conditional probability? Which one requires the use of the Addition Rule? Explain
ch4aika [34]

Answer:

Conditional probability is probability of a second event given a first event has already occurred.

Step-by-step explanation:

6 0
3 years ago
Can someone tell me if i got this right? its all i need
Alexxx [7]

Answer:

No, the answer is 120 plants per square foot

Step-by-step explanation:

What I did was first figure up the area of the triangle. You want to do this because the area will tell you how many square feet are in the garden. In order to find this, you need to use this formula: 1/2 b·h

Plug in the numbers like this: 1/2·15·8

15 is the base of the triangle, while 8 is the height of the triangle. Now solve your equation.

15·8=120

1/2·120=60

Area = 60

Now you know that the area is 60ft². So there are 60 square feet in the whole garden. But, we're not done yet. Jessica wants to put 2 plants in every 1 square foot. So now, we need to multiply 60 by 2 in order to get 2 plants in every 1 square foot.

60·2=120

Jessica can put 120 plants in the garden if she is wanting 2 plants per square foot.

I hope this makes sense and is easy to understand. Please let me know if you need any more help or clarification. I'm always happy to help! Have a great day and good luck!!

4 0
3 years ago
ME NEEDS SOME MORE HELP FOR QUESTION 2
Evgen [1.6K]

Answer:

C is answer I think 0, because

5 0
3 years ago
Read 2 more answers
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