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Zigmanuir [339]
3 years ago
6

13. Find the vertex of f(x)=x2 -6x +8 .

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

9514 1404 393

Answer:

  a  (3,-1)

Step-by-step explanation:

The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...

  f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1

  f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form

Comparing this to the generic vertex form ...

  f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)

we see that h=3 and k=-1.

The vertex is (h, k) = (3, -1).

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Hey!

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One side of the larger square is 4. The same side on the smaller square is 2. When it's reduction, the answer is less than 1. It will be 1/2 because 2 is 1/2 of 4.

That means your answer is d.

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3 years ago
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Scorpion4ik [409]

Answer:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
African Americans in a St. Louis suburb sued the city claiming they were discriminated against in schoolteacher hiring. Of the c
Serjik [45]

Answer:

Yes, they are being underrepresented.

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

The Population of African Americans in St. Louis suburbs 5.7% . Therefore we can assume that the school system should have about 5.7% of their teachers being African Americans. Since we are given the amount of total teachers and the amount of African American teachers in the school, we can calculate the percent of African American teachers by using a simple Rule of Three property (demonstrated in the picture below).

405 Total teachers   ⇒   100%

15 African American   ⇒   x

\frac{15*100}{405} = x

3.7% = x

We can see that approximately 3.7% of the School Teachers are African Americans, So we can say they are being underrepresented.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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3 years ago
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