PLEASE HELP! I’m almost finished with this assignment if someone could answer these questions correctly I’ll give you Brainliest for saving me haha!
c. When a rational and an irrational number are added, is the sum rational or irrational?
Explain.
Type your response here:
d. When a nonzero rational and an irrational number are multiplied, is the product rational or
irrational? Explain.
Type your response here:
e. Which system of numbers is most similar to the system of polynomials?
Type your response here:
f. For each of the operations—addition, subtraction, multiplication, and division—determine
whether the set of polynomials of order 0 or 1 is closed or not closed. Consider any two
polynomials of degree 0 or 1.
Type your response here:

Answers

Answer 1

Answer:
C. The sum of any rational number and any irrational number will always be an irrational number.

Explanation: Each time they assume the sum is rational; however, upon rearranging the terms if their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

Answer:
D. Any nonzero rational number times an irrational number is irrational.

Explanation: Assume r is nonzero and rational, and x is irrational. If rx = q, and q is rational, then x = q/r, which is rational. This is a contradiction.

Answer:
E. The system of polynomials is almost the same with the system of whole numbers.

Explanation: We count with and use a base 10 (decimal) system. Polynomials such as the function above are a “base x” system.

Answer:
F. Addition, subtraction, and multiplication would all be closed because every answer would be a polynomial. Division is not closed because when we divide numbers, sometimes they don’t divide evenly, leaving us with a remainder, which we can write as a fraction.

Explanation: (in answer)

I hope this at least semi helps!

Related Questions

Find an equation of the straight line that is perpendicular to the straight line x+2y=5 and that passes through the point (3,7)

Answers

Answer: y = 2x + 1

Step-by-step explanation:

Rewrite the equation in standard form:

x+2y=5

2y = -x + 5

y = -(1/2)x + (5/2)

A line perpendicular to this would have a slope that is the negative inverse of the reference line slope, -(1/2), here. The new slope would be 2. The y-intercept, (5/2), will change, so we'll just use b for the new y-intercept, and calculate it later:

y = 2x +b

We know that point (3,7) lies on the new line (it is a solution to the equation), so we can use this point to find the new y-intercept, b.

7 = 2*3 + b

b = 1

The perpendicular line is y = 2x + 1, and goes through point (3,7)

Help with this please

Answers

Answer: B

Step-by-step explanation: u have to simplify the 36 and the 12

Write an equation of the line, in point-slope form, that passes through the two given points.

points: (-1, 8), (1, 4)
Select one:

a.
y = -1/2 x-3 fraction

b.
y = -1/2 x + 9

c.
y = -2x + 6

d.
y = -2x + 22

Answers

Answer:

y=56 deth twc rcrrkb scfd rzgwv3ex. ewc rs esz gbs Sbes hwje

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice

Answers

Answer:

55-10=45

Step-by-step explanation:

Answer:

The equation of the scenario is

✔ p = 55 – 0.5w

The values of p must be

✔ any real number 45 to 55

Step-by-step explanation:

edge 2021

PLEASE HELP I"M ON A TIMER!!!!!!
Δ RST ≅ ΔLMN
What are the values of m∠R and LM?
Enter your answers in the boxes.
I will mark BRAINLIEST!!!

Answers

Answer:

R=30 degrees Lm=6(square root of 3)

Step-by-step explanation:

R=L

LM=SR

Question
A building is in the shape of a cube with edge lengths of 36 feet. Find the number of cubic feet of air in the building. Then find the number of cubic yards of air in the building

Answers

Answer:

216

Step-by-step explanation:

6 x 36 is 216

hope that helps :)

Help me fast please I cant figure out this question!!!!

Answers

Answer:

i think the first one but im not sure

im sorry if its wrong

Step-by-step explanation:

Find the value of |-4| - 5 · 2(-1 + 3). SHOW YOUR WORK PLS

Answers

|-4|-5•2(-1+3)
4-5•2•2
4-20
-16

solve the inequality. -11x - 9 < 24

Answers

Answer:

x>-3

Step-by-step explanation:

-11x-9<24

+9 +9

-11x<33

/11 /11

-x<3

x>-3

lets check

-11(-2)-9<24

22-9<24

13<24

correct :D

Answer:

x > − 3 OR (-3,∞)

Step-by-step explanation:

Find the value of x.

A) 8
C) 6
E) 11
B) -9
D) -11

Answers

It’s E as if you subtract as it is a triangle and has three sides

D. This is an equilateral triangle. So all the sides are equal.
X+19=8
X=8-19
X=-11

How do you determine the domain of a function ?

Answers

Answer:

Let y = f(x) be a function with an independent variable x and a dependent variable y.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that

chosen x-value is said to belong to the domain of f. If there is a requirement that a y-value produced by a function

must be a real number, the following conditions are commonly checked:

1. Denominators cannot equal 0.

2. Radicands (expressions under a radical symbol) of even roots (square roots, etc)

cannot have a negative value.

3. Logarithms can only be taken of positive values.

4. In word problems physical or other real-life restrictions might be imposed, e.g. time is

nonnegative, number of items is a nonnegative integer, etc.

Answer:

the domain is a set of all possible numbers inputs for that function, THe range is all the possible output numbers

i hope this helps

Could someone please help answer this, Thanks so much, please no spam, will give brainliest (homework help)

Answers

Answer:

b<-7

Step-by-step explanation:

3b+3<-18

subtract 3 on both sides

3b<-21

divide 3 on both sides

b<-7

B=(s+k/2)h solve for s

Answers

Answer:

B = (s + k/2)h

[flip if wanted]

h(s + k/2) = B

h*s h*k

h/s + g/2 = B

g/2 = P

h/s + P = B

-P -P

h/s*h [<-cancel out] B*h

J = s

Step-by-step explanation:

There were no numbers so I substituted them for letters :)

4 1/2 yards of rope -6 2/3 yards of rope

Answers

Answer:

-2.17 yrds?

Step-by-step explanation:

x^2 - 16 = 0 by extracting the square root

Answers

Answer:

{-4, 4}

Step-by-step explanation:

x² - 16 = 0x² = 16x = √16x = ± 4

2. original: $20.00
percent of discount: 40%
And explain why

Answers

Answer:

because u loss $12 I think

Jared baked 20 cookies if 1/5 cookies were burned how many cookies burned simplify your answer

Answers

Answer: 4

Amount Total: 20

amount burned: 1/5

say 4x5=20

1/5 of 20 is 4

? Write 126 as a product of primes. Use index notation when giving your answer.

Answers

Answer:

2 x 7 x 3²

Step-by-step explanation:

When finding primes, you use the method I attatched as a picture. Start with the large number at the top, slowly dividing it by factors of it.

The picture shows that the primes 126 is a product of is:

2, 7, 3, 3

Or:

2 x 7 x 3 x 3

This can be simplified into:

2 x 7 x 3²

Hope this helps!

Answer:

Write 126 as a product of primes.

Use index notation when giving your answer.

Step-by-step explanation:

a box of cereal states that there in 93 calories in 1/4 cup serving. What is the unit for calories per cup? How many calories are there in two cups of the cereal?

Answers

Answer:

372 calories per cup

744 calories in two cups

Step-by-step explanation:

unit rate: (per cup)

93*4= 372

In two cups:

372*2= 744

Hope this helps!

Joshua finds the perimeter of the following composite figure composed of a square and right triangle so that a braid may be cut around its outer edge. Determine what is wrong with his calculations and how to find the correct length.

Answers

The perimeter of a shape is the sum of its side lengths.

Joshua miscalculated the third length of the triangle

First, we calculate the third length (x) of the triangle.

Because the triangle is right-angled, we can make use of Pythagoras.

So we have:

[tex]x^2 = 7^2 + 7^2[/tex]

[tex]x^2 = 2(7^2)[/tex]

Take square roots of both sides

[tex]x = \sqrt{2(7^2)[/tex]

[tex]x = 7\sqrt{2[/tex]

The other shape in the figure is a square.

So, the perimeter (P) is

[tex]P = 7 + x + x + x + 7[/tex] ---- i.e. the sum of the visible lengths

So, we have:

[tex]P = 7 + 7\sqrt2 + 7\sqrt2 + 7\sqrt2+ 7[/tex]

Evaluate like terms:

[tex]P = 14 + 21\sqrt2[/tex]

Hence, Joshua's error is that:

He miscalculated the third length of the triangle

Answers

Answer:

15 times 3 is equal to45

how fast do you have to go travel the speed of light

Answers

Answer:

About 186,000 miles per second.

Step-by-step explanation:

4/5+8/9 (don’t mind this)

Answers

Answer:

Excact Form

76/45

Decimal Form

1.68 The 8 repeates itself

Mixed Number

1 31/45

Step-by-step explanation:

To add fractions, find the least common denominator and then combine

Write the fractions in order from least to greatest. A) -3 3/ 4 , -3 3/ 5 , -3 13 /20 , -3 17 /25 B) -3 3 /5 , -3 17 /25 , -3 13 /20 , -3 3 /4 C) -3 3 /5 , -3 13 /20 , -3 17 /25 , -3 3/ 4 D) -3 3 /4 , -3 17 /25 , -3 13 /20 , -3 3/ 5

Answers

Answer:

A, C, D, B

Step-by-step explanation:

solve for t:
t-3(4-t)=-24

Answers

Answer:

t = -3

Steps:

4t - 12 = -24

4t - 12 + 12 = -24 + 12

4t = -12

4t/4 = -12/4

t = -3

Chealsea has 7/8 pound of butter to make icing. Each batch if icing needs 1/4 pound of butter. Write and solve an equation that models the situation. Then interpret the quotient

Answers

Answer:

Chelsea can make 3 [tex]\frac{1}{2}[/tex] batches of icing with 7/8 pounds of butter.

Step-by-step explanation:

7/8 ÷ 1/4 (reciprocate 1/4 to replace division sign with multiplication sign)

= 7/8 x 4/1

= 28/8

= 7/2

= 3 [tex]\frac{1}{2}[/tex]

This means that Chelsea can make 3 [tex]\frac{1}{2}[/tex] batches of icing with 7/8 pounds of butter.

I hope this helps :)

3k+7k-2=6k+16 answer?

Answers

3k+7k-2=6k+16
10k-2=6k+16
10k-6k=16+2
4k=18
k=18/4
k=9/2

Answer: is 4.5

Step-by-step explanation:

3k+7k-2=6k+16

3k+7k = 10k

10k-2=6k+16

-6k -6k

4k-2=16

+2 +2

4k= 18

= therefore the answer is 4.5

Plz help!! I will give most brainliest!! No links plz!!!

Answers

Answer: May 20th

Step-by-step explanation: Using basic math to decide that 3x5 is 15 and 5x3 is 15, you can see that after 5 diving lessons and 3 swimming lessons, Bridget will have both again in 15 days time.

PLEASEEE HELPPPPPn nxndhdndjd

Answers

Answer:

In a total triangle, there are 180 degrees.

So we add the given degrees and add a variable(our unknown value) to make it equal 180

65 + 57 + X = 180

add like terms

122 + X = 180

inverse property of addition is subtraction

-122 -122

X = 58 degrees

Answer:

The answer is 58.

Step-by-step explanation:

65+57=122

180-122=58

Someone help please thank you

Answers

Answer:

The answer is C which is -3

Step-by-step explanation:

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