Let P be the set of polynomials. Let a, b, c, and d be elements of P such that b and d are non-zero elements of P. Which of the following is
true regarding the sum below?
a/b+c/d

Answers

Answer 1

Answer:

A. The sum is a rational expression.

Step-by-step explanation:

The complete questions is:

Let P be the set of polynomials. Let a, b, c, and d be elements of P such that b and d are non-zero elements of P. Which of the following is  true regarding the sum below?

a/b+c/d

A) The sum is a rational expression

B) The sum is an integer

C) The sum is a rational number

D) The sum is a polynomial

Solution:

We are given:

a/b + c/d

b and d are non-zero elements:

Therefore:

a/b is a rational number.

c/d is a rational number.

We see that there is an addition sign between the two terms:

So, sum of rational expression is also a rational expression  

Thus, The correct option is:

A. The sum is a rational expression.

Answer 2
Final answer:

The sum of the given fractions a/b + c/d, where a, b, c, and d are polynomials, can be calculated by finding a common denominator, which is typically the product of polynomials b and d, and combining the adjusted numerators.

Explanation:

The question deals with the operation of addition of fractions where the denominators are polynomials. Given the expression a/b + c/d, where a, b, c, and d are polynomials, and b and d are non-zero polynomials, we want to find their sum. It is important to note that adding or subtracting fractions requires a common denominator.

To combine a/b with c/d, we must first find a common denominator, which will be the product of b and d if they have no common factors. After that, we adjust the numerators accordingly and perform the addition. The resulting fraction will have a numerator that is the polynomial sum of ad and bc, and a denominator that is the polynomial product bd.


Related Questions


Manuel took 2 2/5
hours to clean the den. He took 1 1/3
hours to clean the bathroom. How much longer did it take Manuelt
clean the den?

Answers

1 whole hour... 2 2/5 x 3 - 1 1/3 x 5=2 6/15 - 1 5/15. (Reduced) 1 1/1
Final answer:

It took Manuel approximately 1.07 hours longer to clean the den compared to the bathroom. This was calculated by converting the mixed numbers to improper fractions and subtracting.

Explanation:

In this problem, we are comparing the time it took Manuel to clean the den and bathroom. To do this, we need to subtract. Firstly, you need to convert the mixed numbers, 2 2/5 hours and 1 1/3 hours, into improper fractions for ease. This would be 12/5 hours and 4/3 hours respectively. Now we subtract 4/3 from 12/5. You can use the least common denominator (LCD) to make this easier: 12/5 (which is 2.4 in decimal) minus 4/3 (which is 1.33 in decimal) equals approximately 1.07 hours. It means Manuel took 1.07 hours(approximately) longer to clean the den compared to the bathroom.

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Find the nth term of this number sequence
1, 10, 19, 28, ...
Pls help

Answers

Answer:

9n - 8

Step-by-step explanation:

The sequence is arithmetic since the difference between consecutive terms is common

d = 10 - 1 = 19 - 10 = 28 - 19 = 9

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 and d = 9, thus

[tex]a_{n}[/tex] = 1 + 9(n - 1) = 1 + 9n - 9 = 9n - 8, hence

[tex]a_{n}[/tex] = 9n - 8

We are required to find the nth term of the sequence 1, 10, 19, 28,....

The nth term of the sequence 1, 10, 19, 28, is 9n - 8

Given:

1, 10, 19, 28,

First term, a = 1

Common difference, d = difference between consecutive terms

10 - 1 = 9

19 - 10 = 9

28 - 19 = 9

nth term = a + (n - 1)d

nth term = 1 + (n - 1)9

= 1 + 9n - 9

= 9n - 8

Therefore, nth term of the sequence 1, 10, 19, 28, is 9n - 8

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10 POINTS

Find the distance between the points -6.4 and -9.2.

Show your work plz so I can understand it more

Answers

6.4 -9.2 = -2.8 There
-6.4 is 2.8 away from -9.2

A model of a baseball diamond is a square
with a perimeter of 36 in. What is the length
on the model from first base to third base?
(round to the nearest whole number)

Answers

Okay. So let’s break this down. We can solve this problem without a picture because it is a square. Therefore, all sides are the same. There are also four sides on a square. I have two ways to solve this problem.

One:
Divide 36 by 4 to know what each side is. 36/4 is 9. Since we are running from first to third, that is two sections of the field. Half of it. We would multiply 9 by 2. We get 18.

Two:
We know that from first to third is half the field. So we can do 36/0.5. This way, get 18

Answer: 18 inches

13/16 as a decimal rounded to the nearest tenth

Answers

Final answer:

The decimal equivalent of the fraction 13/16 is 0.8125. However, when you round this to the nearest tenth as the question specifies, you get 0.8.

Explanation:

To find the decimal equivalent of the fraction 13/16, you firstly divide 13 by 16. This will provide you with a decimal number. Then, since the question asks for the decimal to be rounded to the nearest tenth, you round the decimal number. To round, if the number on right of decimal is 5 or more, round up; if it's less than 5, round down. So 13 divided by 16 equals 0.8125, which when rounded to the nearest tenth gives you a result of 0.8.

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13/16 as a decimal rounded to the nearest tenth is 0.8.

To convert the fraction 13/16 to a decimal and round it to the nearest tenth, we can follow these steps:

First, divide 13 by 16. When you do this, you get 0.8125 because 13 ÷ 16 = 0.8125.Next, we round 0.8125 to the nearest tenth. To do this, look at the hundredths place (which is the second digit after the decimal point). Here, it’s 1. Since this digit is less than 5, we round down, keeping the tenths place the same.Therefore, 0.8125 rounded to the nearest tenth is 0.8.

82/3=
a 4
b 8
c 16√2

Answers

C: 16√2 is the best choice for your question since 82/3 = about 27 and 16√2 = about 27 too, meaning that the answer that got rounded is C.

Hope this helped!

Nate

Write the equation of a line that is parallel to y = –
2 + 7 and that passes through the point (-4,1)

Answers

Answer:

y = -2x -7

Step-by-step explanation:

Plug in and Solve.

If one gallon of gas costs $3.50 how much would 3,5, and 7 gallons cost?

Answers

3 gallons= 10.5
5 gallons= 17.5
7 gallons=24.5
Just multiply 3.50 by 3, 5 and 7.

how did you solve it and explain and what is the answer​

Answers

Answer:

should be 3x^3+4 because all other choices don't make sense

Answer:

B

Step-by-step explanation:

(3x^2+4)*(x+1)

(3x^2+4)*x+(3x^2+1)*1

3x^3+4x+3x^2+1

3x^3+3x^2+4x+1

Which of the following appear in the diagram below?
Check all that apply.
A. ZXYZ
B.
c. W
D. ZYXZ

Answers

Please show the diagram so we are a plow to answer

The following is true in the diagram below:

∠XYZ

∠XYW

∠ZYW

[tex]\bar{YX}, \bar{YW}, \bar{YZ}[/tex]

Options A, B, and D are correct.

What is an angle?

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

From the diagram,

There are 3 angles:

∠XYZ

∠XYW

∠ZYW

And,

In geometry, a line that has a starting point and no endpoint is called a ray. A ray is part of a line that starts at a particular point called the endpoint and extends infinitely in one direction.

It is also sometimes referred to as a half-line.

Rays are commonly denoted by an arrow pointing in the direction of the infinite extension, with the endpoint letter given first.

There are 3 rays:

YX, YW, and YZ

Thus,

The following is true:

∠XYZ

∠XYW

∠ZYW

[tex]\bar{YX}, \bar{YW}, \bar{YZ}[/tex]

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5z ^ 3 - 2z ^ 4 - 9z ^ 2 + z What is the degree of the polynomial ?

Answers

Answer:

Step-by-step explanation:

For any polynomial, we can determine the degree by finding the variable with the largest exponent. For the given polynomial:

[tex]5z^{3} - 2z^{4} -9z^{2} + z[/tex]

we can see that [tex]-2z^{4}[/tex] contains the variable with the highest exponent, 4, so the degree of this polynomial is 4.

Answer:

4

Step-by-step explanation:

khan academy help

Evaluate the expression when
a=7 and x = -6
a - 2x

Answers

Answer:

19

Step-by-step explanation:

7-2(-6) which would equal 7+12 because negative times negative is positive

Answer: 19

Step-by-step explanation:

7 + [(- 2) (-6)]

-2 * -6 = 12

7 + 12 = 19

HELP PLZ WITH HOMEWORK !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The sum of 3 + (-2) = 1 because it's just like 3 - 2

The sum of -6 + 3 = - 3 because the negative number is greater than positive number it's a negative.

For B you fill in Six negative, -6; three positive, 3. And you are left with three negative counters.

For A you are left with one positve counters.

PLEASE ANSWER BOTH ASAP THANKS

Answers

Answer:

a and c

Step-by-step explanation:

Hey!

-----------------------------------------------

Question #3:

The associative property is where you have an equation and you can switch the numbers and it will still equal the same.

Answer: c) (x + 3) + 7 = x + (3 + 7)

-----------------------------------------------

Question #4:

The distributive property is where you have an equation and you multiply each addend and add them up.

Answer: c) distributive

-----------------------------------------------

Hope This Helped! Good Luck!

Kieran has $45.00 to purchase supplies to paint the top of a square wooden platform for the school play. The paint roller costs $9.75, and the paint is $17.00 per can. If one can of paint covers approximately 375 square feet, what is the maximum possible length, in feet, of
one side of the wooden platform to the nearest tenth of a foot?
F. 27.3
G. 27.4
H. 27.5
J. 28.0
K. 28.1

Answers

Answer:

Option G. 27.4 ft

Step-by-step explanation:

step 1

Calculate the maximum number of cans of paint Kieran can buy with $45

Let

x -----> the number of cans of paint

we know that

The number of cans of paints multiplied by it cost plus the cost of a rooler paint must be less than or equal to $45

so

[tex]9.75+17.00x \leq 45[/tex]

Solve the inequality for x

Subtract 9.75 both sides

[tex]17.00x \leq 45-9.75[/tex]

[tex]17.00x \leq 35.25[/tex]

Divide by 17 both sides

[tex]x \leq 2.07\ cans[/tex]

so

The maximum number of cans that Kieran can purchase is 2 cans

step 2

Find the maximum area covered with 2 cans of paint

we know that

One can of paint covers approximately 375 square feet

therefore

To find out the area covered with 2 cans multiply 375 by 2

[tex]375(2)=750\ ft^2[/tex]

step 3

Find the maximum possible length side of the wooden platform

we know that

The wooden platform is in the shape of a square

so

The area of a square is

[tex]A=b^{2}[/tex]

where

b is the length side of the square

we have

[tex]A=750\ ft^2[/tex]

substitute and solve for b

[tex]750=b^{2}[/tex]

square root both sides

[tex]b=27.4\ ft[/tex]

Write a subtraction problem involving two positive integers with a negative difference. Explain the relationship between the two integers that must exist for the difference to be negative.

Answers

Answer:

When both integers have the same value, the difference is zero. The difference between a positive and a negative integer can be positive or negative. When you subtract a negative integer from a positive integer, the difference is always positive this might help

Step-by-step explanation:

Write a subtraction problem involving two positive integers with a negative difference.

1) When you subtract a positive integer from a negative integer, the difference is always negative.

For example : [tex]-7 - 3 = -10[/tex]

2) When you subtract a larger positive integer from a smaller integer, the difference is always negative.

For example : [tex]5-7=-2[/tex]

3) When you subtract two negative integers and the first integer (or minuend) is smaller than the second integer (or subtrahend), the difference is negative.

For example : [tex]-8 - (-2) = -6[/tex]

What is 12 rounded to the nearest ten

Answers

10 because the number in the ones place is less than 5 which means u would go down to 10

As a smart consumer, you are always on the lookout for sales, coupons, and rebates. While shopping for new clothes, you notice that one particular brand of shirts is on sale for 20% off the original price. You also have a coupon for $10 off a $40 purchase. Coupons are applied after the 20% discount is taken. If each shirt originally costs $17.99, how many shirts would you need to buy to be able to use your coupon? Show your work

You’d have to buy 3 shirts, with the 20% off the shirts would come out to $14.39. So $14.39 x 3 = $43.17. Now with the $10 off a $40 purchase your total cost would be $33.17.

Answers

Answer:

You'd have to buy 3 shirts in order to use your coupon.

Step-by-step explanation:

Each shirt originally costs $17.99

One particular brand of shirts is on sale for 20% off the original price.

$17.99*0.2= $3.60 (amount taken off for each shirt)

Now subtract $3.60 from $17.99.

$17.99 - $3.60 = $14.39 (per shirt)

40 / 14.39 = 2.779 (round to 3)

You'd have to buy 3 shirts in order to use your coupon.

$14.39 * 3 = $43.17, in order to get $10 off you'd need to spend at least $40

Solve —2|5w – 7 |+9=-7

Answers

The answer is w=3 and w=-1/5. Hope this helps!!!

What is 2 divided 5 over 7

Answers

Answer:

0.05714285714

Step-by-step explanation:

given:

2 divided 5 over 7

(2/5)/7

decimal value of 2/5 is 0.4

0.4/7=4/70=0.05714285714

Please I need help with 16-17

Answers

Answer:

first answer- zero point zero fourty nine thousdanths

Step-by-step explanation:

Can u simplify
Radical 18?

Answers

rad 18 = rad 9x2
the square root of 9 is 3, so we keep that outside of the radical, left with 2 inside the radical.
the answer would be :
3 radical 2
hope this helped! x

Answer:

You can!

It's 2\sqrt{3\\

Step-by-step explanation:

18 = 2*9

\sqrt{18} = 2\sqrt{3\\

Evaluate 3{5+3[10+4•8]}​

Answers

The answer to your equation is 1008

Answer: 393

I answered on monarch and it came out right.

If 120 million roses were sold on Valentine's Day, and 75% of the roses were red, how
many red roses were sold on Valentine's Day? Show your work.

Answers

Answer:

1,600,000

Step-by-step explanation:

120,000,000 divided by 75 is 1,600,000

Answer:

did the math its 90,000,000

thats how much 75% is

Step-by-step explanation:

Suppose 0 is an angle in the standard position whose terminal side is in Quadrant 1 and sin 0= 84/85. Find the exact values of the five remaining trigonometric functions of 0

Answers

Answer:

Part 1) [tex]cos(\theta)=(\frac{13}{85})[/tex]

Part 2) [tex]tan(\theta)=\frac{84}{13}[/tex]

Part 3) [tex]cot(\theta)=\frac{13}{84}[/tex]

Part 4) [tex]sec(\theta)=\frac{85}{13}[/tex]

Part 5) [tex]csc(\theta)=\frac{85}{84}[/tex]

Step-by-step explanation:

we know that

Angle [tex]\theta[/tex] lie on Quadrant I

so

[tex]sin(\theta)[/tex] is positive

[tex]cos(\theta)[/tex] is positive

[tex]tan(\theta)[/tex] is positive

[tex]cot(\theta)[/tex] is positive

[tex]sec(\theta)[/tex] is positive

[tex]csc(\theta)[/tex] is positive

step 1

Find the value of  [tex]cos(\theta)[/tex]

we have

[tex]sin(\theta)=\frac{84}{85}[/tex]

we know that

[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]

substitute

[tex](\frac{84}{85})^2+cos^2(\theta)=1[/tex]

[tex](\frac{7,056}{7,225})+cos^2(\theta)=1[/tex]

[tex]cos^2(\theta)=1-(\frac{7,056}{7,225})[/tex]

[tex]cos^2(\theta)=(\frac{169}{7,225})[/tex]

[tex]cos(\theta)=(\frac{13}{85})[/tex]

step 2

Find the value of [tex]tan(\theta)[/tex]

we know that

[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

we have

[tex]sin(\theta)=\frac{84}{85}[/tex]

[tex]cos(\theta)=(\frac{13}{85})[/tex]

substitute

[tex]tan(\theta)=\frac{(84/85)}{(13/85)}[/tex]

[tex]tan(\theta)=\frac{84}{13}[/tex]

step 3

Find the value of [tex]cot(\theta)[/tex]

we know that

[tex]cot(\theta)=\frac{1}{tan(\theta)}[/tex]

we have

[tex]tan(\theta)=\frac{84}{13}[/tex]

therefore

[tex]cot(\theta)=\frac{13}{84}[/tex]

step 4

Find the value of [tex]sec(\theta)[/tex]

we know that

[tex]sec(\theta)=\frac{1}{cos(\theta)}[/tex]

we have

[tex]cos(\theta)=(\frac{13}{85})[/tex]

therefore

[tex]sec(\theta)=\frac{85}{13}[/tex]

step 5

Find the value of [tex]csc(\theta)[/tex]

we know that

[tex]csc(\theta)=\frac{1}{sin(\theta)}[/tex]

we have

[tex]sin(\theta)=\frac{84}{85}[/tex]

therefore

[tex]csc(\theta)=\frac{85}{84}[/tex]

Draw a visual model to represent the following expectation: 5/6 divide by 3

Answers

Check the picture below.

What is the value of n in the equation –negative StartFraction one-half EndFraction left-parenthesis 2 n plus 4 right-parenthesis plus 6 equals negative 9 plus 4 left parenthesis 2 n plus 1 right-parenthesis.(2n + 4) + 6 = –9 + 4(2n + 1)? n =

Answers

The value of n in the equation is 1

Step-by-step explanation:

The equation is [tex]-\frac{1}{2}[/tex] (2n + 4) + 6 = -9 + 4(2n + 1)

At first we must do that:

1. Open the brackets in both sides

2. Add like terms

3. Solve to find n

L.H.S:

∵ [tex]-\frac{1}{2}[/tex] (2n + 4) + 6 = -n - 2 + 6

∴ [tex]-\frac{1}{2}[/tex] (2n + 4) + 6 = -n + 4

R.H.S:

∵ -9 + 4(2n + 1) = -9 + 8n + 4

∴ -9 + 4(2n + 1) = 8n - 5

∴ -n + 4 = 8n - 5

- Add 5 to both sides

∴ -n + 9 = 8n

- Add n to both sides

∴ 9 = 9n

- Divide both sides by 9

∴ n = 1

The value of n in the equation is 1

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ANSWER : The number one

Step-by-step explanation:

got it right

Marcie is playing a board game with a friend. She needs 20 points to win. She currently has -10 points. She wants to know the difference between the number of points she needs

Answers

If Marcie needs 20 points to win the game and she has -10 points, she will need 30 points to reach her goal.

Marcie needs 30 more points. 20-30=(-10)

Connor is stuck in a traffic jam on a single-lane road. The traffic report tells him the traffic jam stretches for 5.5 miles. If Connor assumes each car is about 12.5 feet long, which calculation is most reasonable for Connor to use to find about how many cars are stuck in the traffic jam?

Answers

Connor can reasonably estimate that about 2323 cars are stuck in the traffic jam.

To find about how many cars are stuck in the traffic jam, Connor can divide the total length of the traffic jam by the length of each car.

Given:

- Length of traffic jam: 5.5 miles

- Length of each car: 12.5 feet

First, let's convert the length of the traffic jam from miles to feet since the length of each car is given in feet.

1 mile = 5280 feet

So, the length of the traffic jam in feet is:

[tex]\[ 5.5 \text{ miles} \times 5280 \text{ feet/mile} = 29040 \text{ feet} \][/tex]

Now, Connor can divide the total length of the traffic jam by the length of each car to find about how many cars are stuck:

[tex]\[ \frac{29040 \text{ feet}}{12.5 \text{ feet/car}} \approx 2323 \text{ cars} \][/tex]

Complete each family of facts.
5 5 10​

Answers

Answer:

1,5

1,5 and

1,2,5,10

Step-by-step explanation:

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(5) (b) Calculate the change in entropy when tkg of ice is melted at 273.16K Calculate the change in entropy when lkg of water is heated from 273 16K to 300K (15) (c) Why is the change in entropy much larger for one of the calculations in part (b) of this question Serena Corporation uses estimated manufacturing overhead costs of $880,600 and estimated direct labor hours of 200,000 in establishing manufacturing overhead rates. Allocated manufacturing overhead was $1,012,100 and actual manufacturing overhead was $970,500. What were the number of actual direct hours worked? (Round intermediary calculations to the nearest cent and the final answer to the nearest dollar.) A solution is prepared by mixing 30 ml of a 0.2 M hydrochloric acid (HCl) with 20 ml of a 0.3 M potassium hydroxide solution (KOH), what will be the final pH? (Show your calculation to get full credit.) Hint: Determine whether hydrochloric acid and potassium hydroxide are strong or weak acids or bases. 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