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Vladimir79 [104]
3 years ago
6

Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form.

Mathematics
2 answers:
lana [24]3 years ago
6 0

Answer:

B

Step-by-step explanation:

f(x) = x^{2} -8x+3

=> f(x)= x^{2} -2(x)(4)+4^{2}-4^{2}+3

=> f(x) = (x-4)^{2}-4^{2}+3

=> f(x) = (x-4)^{2}-16+3

=> f(x) = (x-4)^{2}-13

Ad libitum [116K]3 years ago
4 0

Answer:

f(x) = (x - 4)² - 13

Step-by-step explanation:

f(x) = x² − 8x + 3

x² − 8x + 3 = 0

x² - 8x = -3

x² - 8x + 4² = -3 + 4²

x² - 8x + 4² = -3 + 16

x² - 8x + 4² = 13

(x - 4)² = 13

(x - 4)² - 13 = 0

The vertex form of a quadriatic function  f(x) = x2 − 8x + 3 is;

f(x) = (x - 4)² - 13

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A class consists of 60% men and 40% women. Blonde men compose 25% of the class, and blond women make up 20% of the class. If a s
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3 years ago
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Solve for E 4/3=6e _ 5/3
pav-90 [236]

Answer:

38.5

Step-by-step explanation:

Lets say, first number = x



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Total = 49




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x= 10.5




x= 10.5



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Hope this helps!!

6 0
3 years ago
NO LINKS OR ASSESSMENT!!<br><br>Write a rule to describe each transformation #9 &amp; #11​
ValentinkaMS [17]

Answer:

Step-by-step explanation:

Remark

I really don't know what to write to these questions. I can never tell what the problem is. Perhaps it is right at the very beginning. You have to recognize what is taking place. In problem 9, the easiest point to follow is H going to H'. Do you see what is happening? H is sitting on the x axis and then something happens to it and behold, it is now sitting on the y axis. So it has rotated 90 degrees but which way?

Take your finger or a pencil and put it on H. Then make a circular motion to get to H'. You are going clockwise. (keep going in that direction till you wind up where you started. You are going in the direction of one of those old fashioned clocks. Now the trick in a rotation is if you can figure out what one point is doing, you know what all points are doing on the given figure.

So the translation is 90 degrees clockwise. That means the following rule must be operating

(x,y) ===> (y, - x)

H(-3,0) ===> H'(0, - - 3) = H'(0,3)

I(-2,1) =====>I'(1, - - 2) = H'(1,2)

J(0,1) =====>J'(1,0)

G(-3,-3)====>G'(-3, --3) = G'(-3,3)

11

At first you may think that this is a translation of some kind. I thought so at first. D and D' certainly look that way and C and C' also look that way. But B and E are not well behaved. You are looking at a 180 degree rotation

The rule you need here is (x,y) becomes (-x , - y)

I'll leave C and D to you and do one of the B and E

E(3,5)=E'(-3 , - 5)

8 0
2 years ago
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When I have walked 20% of the way to school, I have 1200 metres more to walk than when I have 20% of the walk remaining.
Orlov [11]

Given:

I have walked 20% of the way to school.

I have 1200 metres more to walk than when I have 20% of the walk remaining.

To find:

The distance from home to school.

Solution:

Let x be the distance from home to school.

I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.

It means 1200 is 100\%-20\%-20\%=60\% of the total distance from home to school.

1200=\dfrac{60}{100}x

1200=0.6x

\dfrac{1200}{0.6}=x

2000=x

Therefore, the distance from home to school is 2000  metres.

7 0
3 years ago
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