MATHEMATICS HIGH SCHOOL

Solve x2 – 12x + 11 = 0 by completing the square.Question 7 options:

x = –1


No Real Solutions


x = 11 and x = 1


x = 11

Answers

Answer 1
Answer:

The solution to the quadratic equation x² - 12x + 11 = 0 is x = 11 and x = 1.

What is the solution to the quadratic equation?

Given the quadratic equation in the question:

x² - 12x + 11 = 0

To solve the quadratic equation x² - 12x + 11 = 0 by completing the square, first the constant term to the other side of the equation:

x² - 12x + 11 = 0

x² - 12x + 11 - 11 = 0 - 11

x² - 12x = -11

Next, find the value that is equal to the square of half of b:

( b/2 )² = ( -12/2 )² = (-6)²

Add (-6)² to each side of the equation:

x² - 12x + (-6)² = -11 + (-6)²

x² - 12x + 36 = -11 + 36

x² - 12x + 36 = 25

Factor the perfect trinomial sqaure:

( x - 6 )² = 25

Solve for x:

x - 6 = ±√25

x - 6 = ±5

x = 6 ± 5

Hence, x = 6 - 5 = 1

And x = 6 + 5 = 11.

Therefore, the values of x are 1 and 11.

Learn more about quadratic equations here: brainly.com/question/1863222

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Answer 2
Answer:

Answer:

Step-by-step explanation:

x^2 – 12x + 11 = 0

(x-11)(x-1)

x= 11, 1 completing the square

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Answers

Answer:

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Step-by-step explanation:

cause 4:3 can be written as 4/3 or 4 to 3

but 3 to 4 is written as 3:4 or 3/4

Answer:

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Step-by-step explanation:

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(8n+10) divided by 2, for n=5

Answers

Answer: 25

Step-by-step explanation:

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The answer would be 25. (8(5)+10 = 50 50/2 = 25. Hope that helped!

Let g(x)=x-3 and h(x)=x^2+6 find (h o g) (1)

Answers

g(x)=x-3 \ \ \ and\ \ \ h(x)=x^2+6 \n\n(h \circ g) (1)=h\bigg (g(1)\bigg)=h\bigg(1-3\bigg)=h(-2)=(-2)^2+6=4+6=10
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If a certain medicine cures 90% of the people who take it, what is the probability that if 9 people take the medicine that 6 will be cured?A) 0.01
B) 0.02
C) 0.04
D) 0.33

Answers

This is an example of binomial distribution probability. The probability that a person gets cured by the medicine (p) is 90% or 0.9. The probability that a person does not get cured by the medicine (q) is 100 - 90 = 10% = 0.1. The probability of a binomial distribution is given by nCx (p)^x (q)^(n - x); where n is the sample size, x is the number of success, p is the probability of success, and q is the probability of failure. Therefore, the probability that out of 9 people that takes the medicine, 6 will be cured is given by 9C6 (0.9)^6 (0.1)^3 = 84 x 0.531441 x 0.001 = 0.0446. Therefore, option C (0.04) is the correct answer.

option C (0.04) is the correct answer

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Answers

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The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.a. 8/9
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Answers

Hello,

Answer B
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