True or False: Certain irrational numbers can be written as fractions

Answers

Answer 1
Answer:

Answer:

False

Step-by-step explanation:

It can be written as a decimal but not a fraction cause it will always terminate or repeat

Answer 2
Answer:

Final answer:

The claim that certain irrational numbers can be written as fractions is false. Irrational numbers cannot be expressed as fractions while rational numbers can be. The statement is false.

Explanation:

By definition, irrational numbers cannot be written as fractions. Irrational numbers are numbers that, when time in a decimal form, neither terminate nor repeat. Examples of irrational numbers include sqrt(2) and π. On the other hand, fractions or rational numbers always terminate or repeat when written as a decimal.

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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

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.

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Answer:

Step-by-step explanation:

x^2 – 12x + 11 = 0

(x-11)(x-1)

x= 11, 1 completing the square

Compute without using a calculator.
sin (9π/4)tan(7π/3)

Answers

sin\left((9\pi)/(4)\right)tan\left((7\pi)/(3)\right)=sin\left(2(1)/(4)\pi\right)tan\left(2(1)/(3)\pi\right)=sin\left(2\pi+(1)/(4)\pi\right)tan\left(2\pi+(1)/(3)\pi\right)\n\n=sin(1)/(4)\pi tan(1)/(3)\pi=(\sqrt2)/(2)\cdot\sqrt3=(\sqrt6)/(2)

Is (5, 2) a solution to the equation y = 8x?

Answers

All we need to do is substitute and check.

5 = x

2 = y

y = 8x

2 = 8(5)

2 does not equal 40

Best of Luck!

Hey there! I'm happy to help!

To satisfy this equation, the y value has to be 8 times the x.

If you multiply 5 by 8, you get 40, not 2, so this is not a solution. The point (5,40) would be.

Have a wonderful day! :D

Which of the following represents the zeros of f(x) = 3x^3 − 10x^2 − 81x + 28?A) 7, -4, 1/3
B) 7, -4, -1/3
C) 7, 4, 1/3
D) 7, 4, -1/3

Answers

Option A). 7, -4 and 1/3

To find the zeros you can factor the polynolial into (3x-1)((x+4)(x-7)

Then:
3x -1 =0 => x = 1/3
x+4=0 => x = -4
x-7 =0 => x =7

Those are the three zeros.

Samantha builds one birdhouse in 6 3/8 hours. How many hours does it take to build 4 birdhouses?

Answers

4 times 6 3/8 is 24 12/8, which simplifies to  25 1/2.

Final answer:

Samantha takes 6 3/8 hours to build one birdhouse. To find out how long it will take to build 4 birdhouses, multiply the time it takes to build one birdhouse by the number of birdhouses. Therefore, it will take Samantha 25.5 hours to build 4 birdhouses.

Explanation:

The subject of this question is Mathematics, more specifically multiplicative operations applied to time concepts in a real-world problem-solving scenario.

Solution for the Question

  1. First, identify the number of hours it takes Samantha to build one birdhouse. That is, 6 3/8 hours.
  2. Since, she's planning to build 4 birdhouses, you need to multiply the number of birdhouses (4) by the time it takes to build one birdhouse (6 3/8 hours). Hence, 4 x 6 3/8 hours = 25.5 hours.
  3. So, it will take Samantha 25.5 hours to build 4 birdhouses.

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If 6y-8=28, what is the value of y

Answers

The answer would be y = 6
6y-8=28
add 8 to both sides
6y=36
divide both sides by 6
y=6