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Svet_ta [14]
3 years ago
17

How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?

Mathematics
2 answers:
Valentin [98]3 years ago
10 0
<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

       Function given is f(x)=x^{2}-6x+1. We wish to add more unit tiles to the function so that it becomes a complete square.

       Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression ax+b to be the side of the square.

       As the function forms the square after adding some p unit tiles, f(x)+p=(\text{Side of square})^{2}

x^{2}-6x+1+p=(ax+b)^{2}=a^{2}x^{2} +2abx+b^{2}

From comparision, a^{2}=1; 2ab=-6; b^{2}=1+p\\a=1; b=-3\\(-3)^{2}=p+1\\p=8

∴ 8 more unit tiles are required to complete the square.

Oxana [17]3 years ago
7 0

Answer:

8 just took the test on edg

Step-by-step explanation:

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Find two consecutive even integers whors sum is 86. Which of the following could be used to solve the problem?
Yuliya22 [10]

Answer:

42 and 44

Step-by-step explanation:

The even numbers are numbers which can be written as 2n where n is any integer number.

Therefore, two consecutive numbers would be "2n" and "2n + 2"

We then have that

2n + (2n+2) = 86

4n + 2 = 86

4n = 84

n = 21

And the even number 2n is 2(21) = 42.

(We can verify this answer by doing 42 + 44 = 86)

5 0
3 years ago
Bobby bought the following at the school store 10 pencils for $0.21 each 8 pens for $0.45 each and Two posters for $0.55 each. H
77julia77 [94]
Bobby would have bought 1.21 dollars worth of items from the school store. This because you would line up the problem. In mine, I did 21 on top, 45 in the middle, and 55 on the bottom. And then I added the 1 + 5 + 5 in the right column which equaled 11. This required me to carry the one to the other side and put the other one down in the answer. Then I did 2 + 4 + 5 + 1 = 12. Then you have to add a decimal which makes the most sense to put it in between the 1 and 2. I hope that this is a help and have a great day! If you can please mark this brainliest and contact me if you need more help!
6 0
4 years ago
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Answer:

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Step-by-step explanation:

(x+1)/3

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(-2.5+1)/3

Parentheses first

-1.5/3

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6 0
3 years ago
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Answer:

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Step-by-step explanation:

if 5 1/4 lbs of blueberries are being distributed evenly through 15 cheesecakes, you would divide 5 1/4 by 15 to see how many lbs of blueberries would be in each cheesecake, which would make .35 lbs of blueberries per cheesecake, or 7/20 lbs.

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pickupchik [31]

Answer:

The answer is a Variable

Step-by-step explanation:

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