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

The daily consumption C (in gallons) of diesel fuel on a farm is modeled by C = 30.3 + 21.6 sin(2Ď€t/365 + 10.9) where t is the time (in days), with t = 1 corresponding to January 1. What is the average daily fuel consumption? Which term of the model did you use? Explain.

Answers

The question is an illustration of the sine function.

The average daily fuel consumption is 30.3The vertical shift represents the average daily fuel consumption

The function is given as:

[tex]\mathbf{C = 30.3 + 21.6\sin(\frac{2\pi t}{365} + 10.0)}[/tex]

A sine function is represented as:

[tex]\mathbf{y = a\sin(bx - c) + d}[/tex]

Where d represents the vertical shift.

In this case, d represents the average rate

So, the average daily fuel consumption is 30.3

The term that represents the average daily fuel consumption is the vertical shift of the sine function.

Answers

Answer:

statement B is correct.........

WILL MARK BRAINLIEST
Translate into expression
One-half the difference of thrice a number and four

Answers

Answer:

[tex]3x - 4[/tex] ÷ [tex]\frac{1}{2}[/tex]

1 basic algebreh im sloe hlp me

Answers

Answer:

-11

Step-by-step explanation:

it just is ok im smart

Answer:

-11

Step-by-step explanation:

bc yes

32 450 to nearest hundred

Answers

Answer:

32,500

Step-by-step explanation:

Hi to the nearest 100 it would be 32,500 as it is a 5 after the 4 you have to round up.

Hope this helps !

What is the value of f?

−1/8f−3/4−1/4f=11

Answers

Answer:

equals x cuz x is in definite number

Step-by-step explanation:

denzel has $13.50 and saves an additional $7.50 each week

Answers

Answer:

y = $7.50x + $13.50

Step-by-step explanation:

I need the whole question, but I am guessing you need the equation above

Have a nice day! :-)

Answer:

$21.00

Step-by-step explanation:

$13.50+$7.50=$21.00

solve pls brainliest!

Answers

Answer:

you gotta add those too and you get the answer

Step-by-step explanation:

How are you supposed to graph #14?

Answers

Answer:

Y=mx+c

Step-by-step explanation:

The number in front of the x is the gradient. This shows how much the line goes up in the y axis for every square in the x axis. The number after the plus is the y intersect. This is where the line crosses the y axis. Start at the y intersect and draw the line. For this question, the gradient is 2, so the line goes up 2 squares on the y axis for every square on the x axis. The y intersect is 1, so it would cross the y axis at +1 on the y axis

PLEASE HELP, THE ONES THAT ARE IN GRAY ARE THE ANSWER CHOICES.

Answers

Answer:

C.140

Step-by-step explanation:

If half of the circle equals 70 students. Then one half of that would be 35 students. Since there are 2 sections that are 25% each piece is equal to 35 students. If we add the total number of students together. (70+35+35) We get 140 students.

Explain or show work to prove that the following equation is true.6 x 8 = 3 x 2 x 2 x 2 x 2

Answers

Answer:

see explanation

Step-by-step explanation:

To prove the equation id true, solve both sides and if they are equal then the equation is true.

left side = 6 × 8 = 48

right side = 3 × 2 × 2 × 2 × 2

= 6 × 2 × 2 × 2

= 12 × 2 × 2

= 24 × 2

= = 48

Since both sides are equal then the equation is true

Solve this pls

6i<5i+3u

Answers

i < 3u

Step-by-step explanation:

6i < 5i + 3u

6i - 5i < 3u

i < 3u

Subtract.
-3-6-(-1)
Plot the solution on the number line.

Answers

Answer:

-8

Step-by-step explanation:

Start by putting a dot on the number line at -3. As we are to subtract 6, start at -3 and move 6 units to the left, arriving at -9. Finally, recognizing that -(-1) = +1, move 1 unit to the right from -9, ending up at -8.

Mario needs to cut 3 bookshelves from a board that is 10 feet long.
The 2nd shelf is 1 foot longer than twice the length of the first shelf.
The remaining shelf is 5 feet longer than the first shelf. If x = length of
the first shelf, write an algebraic equation & solve to find the length of
all three shelves.

Answers

Answer:

Step-by-step explanation:

Yeah so that the answer just cause I am nice i will say it again 1

A project calls for three pieces of wood. The longest piece must be twice the length
of the middle-sized piece. The shortest piece must be 10 in. shorter than the middle-
sized piece. If a board 70 in. long is to be used, how long can each piece be?

Answers

Answer:

70,35,25

Step-by-step explanation:

Let longest piece = a = 70

Let medium piece = b = 35

Let shortest piece = c = 25

a=2b

70=2b

35=b

c+10=b

c+10=35

c=25

Please help me with this answer

Answers

Answer:

here

x=2 then,

3*2^2 - 2*2+1

3*4-4+1

12-4+1

Step-by-step explanation:

Simplify:

3x^2 - 2x + 1

=> 3(2)^2 - 2(2) + 1 [∵ x = 2 (Given)]

=> 3(4) - 2(2) + 1

=> 12 - 4 + 1

=> 13 - 4

=> 9 Ans.

When x = 4, what is the value of y in the equation 3x - 2y = 6?

Answers

Here's the answer of it.

Answer:

The answer is 3

Step-by-step explanation:

Please help quickly
The equation of the straight line having a gradient m and passing through (0,0) is?

Answers

Answer:

y=mx

because line is passing through origin ,so y intercept is 0.

General equation of a line is given as y=mx+c where m=slope of the line.

solve for x
2x-y=r

(Show solving steps please)

Answers

Answer:

x=r/2+y/2

Step-by-step explanation:

2x-y=r

you want x all by itself, move y first by adding y

2x = r + y

divide both r and y by 2 to leave x all by itself.

2x/2 = r/2 + y/2

2/2 = 1 so it's really 1x

x= r/2 + y/2

Can someone help me with 8-grade math homework, please

Answers

Answer:

so y=7.25x+9.99 where y is the total money they spend, and the x is the total number of they want to bought jersey which is 20,

So here it's equation:

y=7.25(20)+9.99

y= 145+9.99

y=154.99, therefore the total is 154.99

and the second one is find and explain the mistake

the y values is the mistake when you equate the number of x to the equation given so the true answer of that table if you use the equation is:

X Y

2 0

3 -2

4 -4

5 -6

Find the midpoint of the line segment with endpoints (-3, 2) and (1.-2)
A)
(-1,0)
B)
(0, -1)
(-2,0)
D)
(0, -2)

Answers

Answer: They answer is A (-1,0)

Step-by-step explanation:

I plotted (-3,2) and (1,-2) and found they midpoint of it.

It is not 9/18 or 1/2 PLEASE ANWSER CORRECTLY

Answers

Answer:

1/8 because you do 5 divided by 5 and 40 divided by 5 which gives you 8. Meaning, 1/8 is the answer.

Step-by-step explanation:

Answer:

7/8.

Step-by-step explanation:

5 weeks = 5*7 = 35 days.

So the fraction is 35/40

= (35/5) / (40/5)

= 7/8.

Marco purchases dog food by the pound for his dog , Bruiser. His total purchase is $34.20, and the food is $4.65 per pound. Write a division problem that could be used to determine how many pounds of dog food Marco purchased.

Answers

Answer:

34.20/4.65=7.35 pounds of dog food

Step-by-step explanation:

total/per pound=# of pounds

34.20/4.65

!!! WILL GIVE BRAINIEST
Barry put all of the tiles shown below into a bag, then randomly pulled out one round one and one square one. What is the probability that Barry drew two red tiles?

I know the answer is 1/80 but how do you get there?

Answers

there are 60 squares in total.
there are 9 red squares in total.
etc

if you divide the number of events by the number of possibilities, you get probability!

Answer:

its B

Step-by-step explanation:

trust me i just got it

Plsss help answer the question don’t just get the points and not answer my question Plss I’m struggling

Answers

Answer:

This is cheating

Step-by-step explanation:

First you follow what your teachers tell you to do and listen

In the figure, m_2 = (5x - 12)° and m_3 = (2x + 36) What is the value of X?

Answers

Answer:

that be 34 because you multiply

Step-by-step explanation:

Solve x2−4x−12=0 by completing the square. A x=−2 B x=−6 or x=2 C x=−2 or x=6 D x=−6

Answers

Answer:

B x=-6

x=2

Step-by-step explanation:

what is the measure of

Answers

The two given angles add together to make a linear pair, which is 180 degrees.

(2x + 8) + (2x) = 180

4x + 8 = 180

4x = 172

x = 43

Angle ABC = 2(43) + 8 = 86 + 8 = 92 degrees

Hope this helps!! :)

A line with a slope of 1/3 passes through the point (-8,9). What is its equation in point-slope form?

Answers

Answer:

y - 9 = 1/3 (x+8)

Step-by-step explanation:

point slope form is y - y1 = m (x - x1)

It takes Tanmy 45 Min To ride her bike 5 miles, At this rate, How long will it take her to ride 8 miles?1) 0.89 hour2)1.125 hours3) 48 Min4) 72 Min

Answers

Answer: 72 min (answer 4)

Step-by-step explanation:

if it takes tammy 45 min to do 5 miles then it takes her 9 minutes to do 1 mile so 9*8=72

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