1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DochEvi [55]
3 years ago
12

Find each product. Then determine which conclusion can be drawn based on the results.

Mathematics
1 answer:
sweet [91]3 years ago
6 0

Answer:

B. The product of two irrational numbers can be rational or irrational.

Step-by-step explanation:

An irrational number is a number that is real and it cannot be written or expressed as a fraction.

For example , 2√3, √5 are irrational numbers.

A rational number is a number that is real and can be expressed as a fraction. It is a whole number. For example: 5, 7 are rational numbers

In the above question, we are a pair of rational and irrational number, 2 irrational numbers and we are asked to draw conclusions from their product

a) √2•√2 = √2 × √2 = √4 = 2 = rational number

b) √5•√7 = √5 × √7 = √35 = Irrational number

c) √2•18 = √2 × 18 = 18√2 = Irrational number

d) √2•√6 = √2 × √6 = √12 = Irrational number.

My conclusion from the above results is option B, which states that

B. The product of two irrational numbers can be rational or irrational.

You might be interested in
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of lemon juice in each
lys-0071 [83]

Answer:

$15

Step-by-step explanation:

Let's start by figuring out how much 1 cup of oil costs.

12 cups of oil is 36$

Let's set up a proportion.

12/36=1/x

Cross Multiply

12x=36

Divide both sides by 12.

x=3

1 cup of oil is $3.

Dinesh makes 5 batches of hummus, and each batch requires 1 cup of oil.

5*1=5

This means he needs 5 cups of oil.

5*3=15

He used $15 worth of oil in the 5 batches of his recipe.

However, since it is impossible to buy 5/12 bottles of oil, he would have needed to spend $36.

7 0
3 years ago
What is the upper bound of the function f(x)=4x4−2x3+x−5?
inessss [21]

Answer:

(no global maxima found)

Step-by-step explanation:

Find and classify the global extrema of the following function:

f(x) = 4 x^4 - 2 x^3 + x - 5

Hint: | Global extrema of f(x) can occur only at the critical points or the endpoints of the domain.

Find the critical points of f(x):

Compute the critical points of 4 x^4 - 2 x^3 + x - 5

Hint: | To find critical points, find where f'(x) is zero or where f'(x) does not exist. First, find the derivative of 4 x^4 - 2 x^3 + x - 5.

To find all critical points, first compute f'(x):

d/( dx)(4 x^4 - 2 x^3 + x - 5) = 16 x^3 - 6 x^2 + 1:

f'(x) = 16 x^3 - 6 x^2 + 1

Hint: | Find where f'(x) is zero by solving 16 x^3 - 6 x^2 + 1 = 0.

Solving 16 x^3 - 6 x^2 + 1 = 0 yields x≈-0.303504:

x = -0.303504

Hint: | Find where f'(x) = 16 x^3 - 6 x^2 + 1 does not exist.

f'(x) exists everywhere:

16 x^3 - 6 x^2 + 1 exists everywhere

Hint: | Collect results.

The only critical point of 4 x^4 - 2 x^3 + x - 5 is at x = -0.303504:

x = -0.303504

Hint: | Determine the endpoints of the domain of f(x).

The domain of 4 x^4 - 2 x^3 + x - 5 is R:

The endpoints of R are x = -∞ and ∞

Hint: | Evaluate f(x) at the critical points and at the endpoints of the domain, taking limits if necessary.

Evaluate 4 x^4 - 2 x^3 + x - 5 at x = -∞, -0.303504 and ∞:

The open endpoints of the domain are marked in gray

x | f(x)

-∞ | ∞

-0.303504 | -5.21365

∞ | ∞

Hint: | Determine the largest and smallest values that f achieves at these points.

The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:

The open endpoints of the domain are marked in gray

x | f(x) | extrema type

-∞ | ∞ | global max

-0.303504 | -5.21365 | global min

∞ | ∞ | global max

Hint: | Finally, remove the endpoints of the domain where f(x) is not defined.

Remove the points x = -∞ and ∞ from the table

These cannot be global extrema, as the value of f(x) here is never achieved:

x | f(x) | extrema type

-0.303504 | -5.21365 | global min

Hint: | Summarize the results.

f(x) = 4 x^4 - 2 x^3 + x - 5 has one global minimum:

Answer: f(x) has a global minimum at x = -0.303504

5 0
3 years ago
Read 2 more answers
A child has 4 wooden blocks. How many different ways can she stack 3 of them into a tower?
faltersainse [42]

Answer:

Step-by-step explanation:

To find the number of different ways she can stack 3 of them in a tower, we need to use the formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

n = 4

k = 3

_{n}P_{k}=\dfrac{4!}{(4-3)!}

_{n}P_{k}=\dfrac{4!}{1!}

_{n}P_{k}=\dfrac{4*3*2*1!}{(1)!}

_{n}P_{k}=\dfrac{4*3*2*1!}{1}

_{n}P_{k}=\dfrac{24}{1}

7 0
3 years ago
(y-2)^2=-16(x-3) what is it
Dmitrij [34]

(y-2)² = -16(x-3)

y²-4y+4 = -16x+48

y²-4y = -16x + 44

Hope it helped!

5 0
3 years ago
What is needed to prove the triangles are congruent?
Stells [14]

Answer:

l ×b length ×breadth or h×b height ×breadth only this much or if you have other formula plz send me plz and what your name

4 0
2 years ago
Read 2 more answers
Other questions:
  • . Which one of the following numbers is a multiple of 8?
    12·1 answer
  • Write an equation that gives the distance in miles of the hurricane from the town as a function if the number of hours since 12:
    11·1 answer
  • What is (4-10)(4-2)divided by 12+2
    9·2 answers
  • Identify the y-intercept of the function represented <br> by the following table:
    8·1 answer
  • I need help with only 1-4. I'll give brainliest to the most helpful answer !!!
    9·1 answer
  • Help!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • I'm doing Standard Index Form(s)<br> What is 12 000 000 000 000 in standard form?
    6·1 answer
  • Circle A has a radius of 9.0 cm. The shortest distance between B and C on the circle is 8.5 cm. What is the approximate area of
    7·1 answer
  • Which sentence explains the correct first step in the solution of this equation?
    6·1 answer
  • Select the correct answer from each drop-down menu. A hot tub is in the shape of a regular pentagon. To the nearest tenth, what
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!