Let P be the set of polynomials. Let a, b, c, and d be elements of P such that b and d are nonzero elements of P.

Which statement about this product must be true?
a/b times c/d


A.
The product is a polynomial.
B.
The product is a rational number.
C.
The product is an integer.
D.
The product is a rational expression.

Answers

Answer 1

Answer:

A. The sum is a rational expression

Step-by-step explanation:

we are given

2/a+ c/d

we are given that

'b' and 'd' are non-zero values

So,

a/b is a rational number

c/d is a rational number

we can see that both are added

So, sum of rational expression is also a rational expression

so...

A. The sum is a rational expression

Answer 2

Answer:

The correct answer is D. The product is a rational expression.

Step-by-step explanation:

I got it right on the Plato test.


Related Questions

I need help with 13 on both pictures. The first picture is the answer and the second picture is the question not getting the answer at all

Answers

Problem 13

If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.

Example: x^3 times x^3 = x^6 in the top left cornerAnother example: 2x times x = 2x^2 in the bottom right corner.

This is known as the box method to keep track of all the terms multiplied.

Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).

The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2

There are 16 people coming to your party and each person will need one cup. How many packages of cups should you buy if one package contains 17 cups?

Answers

Answer:

1

Step-by-step explanation:

the reason why is because 16 people are coming to your party + you is 17

unless this is a trick question, i would say…one package because if each package contains 17 cups, each person needs one cup, and there will be 17 people total at your party, one package would have the perfect amount of cups.

Please answer these thank u​

Answers

1. 3*3 + 3*8 = 9+24=33

2. 4*4+.5*2*4+5*5= 16+4+25=45

3. 5*10+4*10= 90

4. 24+.5*4*4 = 32

The hot cocoa stand uses 65 spoons each day. If the stand is open for 30 days, how many spoons are uses?

Answers

Answer:

1950

Step-by-step explanation:

i got to this by multiplying 30 and 65

1,950

Step-by-step explanation:

it's 65 x 30 which equals 1,950

I need to know what the equation is for this graph..

Answers

Answer:

The choice second

[tex]y = \frac{1}{3} \times ( \frac{1}{4} ) ^{x} [/tex]

what is 10 51/77 as a improper fraction

Answers

Answer: 821/77

Step-by-step explanation:

First multiply 10 by 77 (770) , then add 51 (821)

Set 821 as the numerator or top

Keep 77 as the denominator

Final answer is 821/77

Hope this helps!

A powerful computer is purchased for $2000. but loses 20% of its value each year. How much will it be worth 4 years from now

Answers

Answer:

It will be worth 819.20$

Step-by-step explanation:

The edge of a cube is (5x+2) mm long. What is its volume?

Answers

Answer:

(125x+8)cm^3

Step-by-step explanation:

Volume= (5x+2)^3 = (125x+8)cm^3

Hey!

Answer:

125x^3+ 150 x^2+ 60x +8.

Formula of the volume of the cube = v=a^3

Substitute:

v=(5x+2)^3

=125x^3+ 150 x^2+ 60x +8.

How many and what type of solution(s) does the equation have?

6p^2 = 8p + 3

No real solutions


2 irrational solutions


1 rational solution


2 rational solutions

Answers

Answer:

2 irrational solutions.

Step-by-step explanation:

6p^2 = 8p + 3

0 = -6p^2 + 8p + 3

The roots are:

p = (2/3) - (8.5)^(1/2)/3, and

p = (2/3) + (8.5)^(1/2)/3

These are irrational numbers.

There are 2 irrational solutions.

If f(1) = 2 and f(n) = 5f(n − 1) then find the value of f(5).
-

Answers

Answer:

f ' (n) = 5f

Step-by-step explanation:

1- Take the derivative

2- remove the parenthesis

3- use differentiation rules

4- Differentiate

5- Simplify  

The ratio of boys to girls at a camp is 4:5. If there are 75 girls, how many boys are there? I NEED AN ANSWER ASAP PLEASE

Answers

Answer:

60 boys

Step-by-step explanation:

To find how many boys, you need to find how many times more than 75 is than five. To do that, divide 75 by 5 and you'll get 15. Multiply 4 by 15 and you get 60 boys. (i'm guessing bc im in middle school lol)

A saving account pays a 3% simple annual interest rate. How much must you put in the saving account to earn $100 in interest in 6 months?


HELP PlS

Answers

Step-by-step explanation:

Solution

Interest =100

Rate=3•/•

Time =0.5

principal =?

Now

p=I×100÷T×R

p=100×100÷0.5×3

P= 10000÷1.5

P=6666.66

Find the change below as a percentage. Then choose whether it is a percent of incease ror a percent of decrease. Change from 22 grams to 33 grams.

Answers

[tex]\dfrac{33}{22}\times100 =150[/tex]

Ans: 150%, a percent of incease

Which expression is equivalent to -6(-2/3+2x)?
plss hurry im timed
-4-12x
-4+2x
4-12x
4÷12x

Answers

Answer:

4 - 12x

Step-by-step explanation:

-6(-2/3 + 2x)

we can distribute by multiplying -6 by whats inside of the parenthesis ( -2/3 and 2x )

-6 * -2/3 = 4

-6 * 2x = -12x

4 - 12x would be the equivalent expression

Given :A expression -6(2/3 +2x).

To Find:The equivalent expression from the options.

Solution :-

Given expression to us is ,

→ -6( -2/3 +2x)

Simplify by multiplying each terms inside the brackets by -6 .

→ -6*-2/3 + 2x*(-6)

Simplify,

→ 4 -12x

Hence option 3 is correct .

I hope this helps .

Find point D on AB that is 3/4 of the distance from A to B

Answers

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

a2+b2=c2 a 2 + b 2 = c 2 ,

Step-by-step explanation:

if the question is a mutiple questions definitely

4

Please help!!!!! Show work too, I'm having a hard time understanding how to solve this! (30 points!)

Answers

Answer:

y = -1/3

Step-by-step explanation:

Isosceles trapezoids have legs that are the same length

AB = CD

7y-4 = 4y-5

Subtract 4y from each side

7y-4-4y = 4y-5-4y

3y -4 = -5

Add 4 to each side

3y -4+4 = -5+4

3y = -1

Divide by 3

3y/3 = -1/3

y = -1/3

Step-by-step explanation:

an isoceles trapezoid means that both legs (the sides left and right) are of equal length.

the length of the baseline does not matter at all (I guess, it is given here to confuse us or for follow up questions).

so, we know that AB = CD.

and therefore

7y - 4 = 8y - 18

-4 = y - 18

14 = y

what is the median and mode of 28,34,34,50,54

Answers

Answer:

Both your median and mode are 34.

Step-by-step explanation:

The median is the middle of the set of numbers in order, and your mode is the number that appears the most.

Good luck :)

Match the mathematical expression with its translation.
1. the independent values, or x values
domain
2. a relation where for any given input value there is only one output value
vertical line test
3. a value substituted in for the variable in a function which generates another value (the output)
relation
4. a way of representing how the members of one group are related to the members of another group
mapping diagram
5. a group of two numbers written in an order (x, y) so that the first value represents a horizontal position and the second number represents a vertical position
function
6. a value generated by a function from another value (an input) which was substituted into the function and evaluated
ordered pair
7. the dependent values, or y values
output
8. a set of ordered pairs
input
9. a test to determine if a graph is a function; a vertical line can only go through one point on the graph to be a function
range

Answers

Answer:

heya......

answer is

========

1. xy ----- the product of two numbers

2. x/y. ------ x divided by y

3. x - y. ----- x minus y

4. x + y. ----- sum of two numbers

5. y -x. ---- x subtracted from y

6. y/x. ------ y divided by x

7. x + y = 6 ------ the sum of 2 numbers is 6

8. xy = 6. ------ the product of two numbers is six

9. 6x = y. ------ six times a number equal to y

10. y = x - 6. ----- six less than a number is y

========

hope it helps ^_^

Step-by-step explanation:

Which set of ordered pairs represents a function?

Answers

Answer:

The last one is a function (6,-5),(5,-2), (-5,5),(-5,1)

Step-by-step explanation:

beacuse it has 2 pairs of the same x value

Elisabeth reads 15 of her book in 112 hours. Elisabeth continues to read at this pace. How long does it take Elisabeth to read 3/4 of the book?
Enter your answer as a mixed number in the simplest form by filling in the boxes.

Answers

The number of hours it takes Elisabeth to read 3/4 of the book is;  5³/₅ hours

What are mixed numbers?

We are told that she reads 15 of her books in 112 hours.

Thus, number of hours to read one book is;

112/15 hours per book

Therefore, number of hours to read ³/₄ of the book is;

³/₄ * ¹¹²/₁₅ = 28/5

As a mixed number is 5³/₅ hours per book

Read more on mixed numbers at; https://brainly.com/question/10225

Answer:

5 5/8 h

Step-by-step explanation:

took the test and got it right :)

The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.

Area of larger triangle = 195ft^2

The area of the smaller triangle is ? ft^2. (Round to the nearest whole number as​ needed.)

Answers

Answer:

70 ft²

Step-by-step explanation:

ratio of their same side is 6/10 = 3/5

area ratio will be square of this so,

are of small traingle will be,

195 × (3/5)²= 195 × 9/25= 70.2

Antonia is saving for a video game. On the first day, she saves two dollars in her piggy bank. Each day after that, she doubles the number of dollars she saved on the previous day. How many dollars does she save on the sixth day?

Answers

Answer:

64

Step-by-step explanation:

so each day you times the amount of money by two

1=2

2=4

3=8

4=16

5=32

6=64

7=128

Which list is in order from least to greatest? 50 points
Two-thirds, StartFraction 6 Over 10 EndFraction, StartFraction 5 Over 8 EndFraction
StartFraction 6 Over 10 EndFraction
StartFraction 6 Over 10 EndFraction, StartFraction 5 Over 8 EndFraction, Two-thirds
StartFraction 6 Over 10 EndFraction, Two-thirds, StartFraction 5 Over 8 EndFraction

Answers

Answer:

the answer is 6/10, 5/8, 2/3

Step-by-step explanation:

Divide. Write the answer in simplest form.

2 7/9 divided by 2

Answers

Answer:

1 7/18

Step-by-step explanation:

2 7/9= 25/9

25/9 divided by 2 is 25/18

Answer:

1 7/8

Step-by-step explanation:

2 7/9 simplified as 25/9 divided by 2 is 25/18 which is 1 7/8 if you simplify it. I hope my answer helps!

x − y = 4 y − 8 = -x At which point do the given equations intersect each other?

Answers

Answer:

(6,2)

Step-by-step explanation:

Graph is below

The sum of two one numbers, one of which is one thirds of the other, is 60. Find the smaller number

Answers

Answer:

x = 15

(y = 45)

Step-by-step explanation:

x + y = 60

x = y/3

y/3 + y = 60 /*3

y + 3y = 180

4y = 180 /÷4

y = 45

x = y/3 = 45/3 = 15

Answer:

15 smaller    The other 45

Step-by-step explanation:

X= big

1/3(x) = small

x+1/3(x) = 60

Multiply both sides by 3 to eliminate the fraction

3x+x = 180

4x=180

x= 45   (big=45)

60-45= 15 (small = 15)

    45/3=15

Evaluate the algebraic expression when b = 3, d = 12, h = 2 and r = 7.
A. 8
B. 16
C. 24
D. 32

Answers

Answer:

24

Step-by-step explanation:

the answer is 24 because the 3 and 12 u divide

Answer: the answer is choice c which is 24 .

Step-by-step explanation: HOPE IT IS CORRECT .THANKS .

24 ÷ 3 × 2 + 2

Show all steps! Thanks!
Use the order of operations!

Answers

Using pemdas, multiplication and division are done left to right when next to each other
24/3=8
8x2=16
16+2=18

One year, the population of a city was 105,000. Several years later it was 95,550. Find the percent decrease.

Answers

Answer: 9% decrease in population

Step-by-step explanation:

trust

6.
A swimmer plans to swim at least 100 laps during a 6-day period. During this period,
the swimmer will increase the number of laps completed each day by one lap. What
is the least number of laps the swimmer must complete on the first day?

Answers

Answer:

I think 15

Step-by-step explanation:

15+16+17+18+19+20=105

if it was 14 it would equal to 99

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