Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1

Answers

Answer 1

Answer: a and c are polynomials, b is not.

Step-by-step explanation:

A polynomial p(x) is written as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰

where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.

Notice that the powers need to be always natural numbers.

Now, let's analyze the options:

a) 3*x - 2

We can rewrite this as:

3*x¹ - 2*x⁰

Then this is a polynomial.

b) p² + 1/p    (in this case the variable is p)

the second term can be written as:

1/p = p⁻¹

Then we have a term with a negative power of p, this means that this is not a polynomial.

c) 3*y² - 2*y/3 + 1

Same as in the first case, we can rewrite this as:

3*y² - (2/3)*y¹ + 1*y⁰

This is a polynomial.


Related Questions

1
What California law did the U.S. Supreme Court recently overturn?
A
a law that required minors to stop playing violent video games
B
a law that made it a criminal offense to sell violent video games
С
a law that banned violent video games from all stores in California
D
a law that barred stores from selling violent video games to minors

Answers

Answer: (D) a law that banned stores from selling violent video games to minors
Pretty sure it's D, just looked it up and it says that the US Supreme Court struck down a 2005 California Law banning the sale of certain violent video games to children without parental supervision. Hope that helped!

Simplify the numerical expression (15 - 3) x 2 + 10

Answers

Answer:

34

Step-by-step explanation:

Using PEMDAS (parentheses, exponent, multiplication, division, addition, subtraction), we solve what's in the parentheses first, so the expression looks like: 12 x 2 +10.

Then since there aren't any exponents, we solve the multiplication problem in the expression: 24 + 10.

Which just leaves addition, which gives us our answer: 34

Hope this helps!

() = 5
3 + 2
2 + − 2; = −1

Answers

so what do u need to know? the answer.. fill in the blank or. like cmon now

please help with thisss​

Answers

Answer:

11, 17

Step-by-step explanation:

The difference between -7 and -1 is +6, and -1 and 5 is +6 as well. So 5+6 = 11

and 11 + 6 = 17

its 11, 7 :)) i checked

Lucy has a variety of socks in her laundry basket. Without looking, she selects one sock, then
a second.
Are these two events dependent or independent?

Answers

Answer:

This is dependent because it depends what sock she picked out first.  It would be independent if she put the pulled out sock back into the container

Need help on this please and thank you

Answers

Answer:

(1,9)

Step-by-step explanation:

1,9





xxxxxxx that is the answer^^^^^

A cylinder has a total surface of 3,41946cm2 and a diametre of 0,66cm. What is its height? Step by step

Answers

Answer:

Total surface Area(A) = 2pi*r(r+h)

Diameter D= 2r

r=0.66/2=0.33cm

A=3.41946

3.41946=2*3.143*0.33(0.33+h)

3.41946=2.0744(0.33+h)

3.41946/2.0744=(0.33+h)

1.6484=0.33+h

1.6484-0.33=h

h=1.3184cm

Step-by-step explanation: Total surface area is different from area around the cylinder.

Can you help with both questions please :)

Answers

Answer:

X(4x+x^2)

Step-by-step explanation:

First the LCM is x

Now just distribute

WILL MARK YOU BRAINLIEST

Answers

Answer:  p=122

Step-by-step explanation:

Answer:

P = 112

see in the picture, MNPQ is a parallelogram

=> M = P

<=> 6x - 2 = 4x + 36

<=> 2x = 38

<=> x = 19

with x = 19 => P = 4.19 + 36 = 112⁰

hiii please help! i’ll give brainliest if you give a correct answer tysm!

Answers

Answer: 3/16

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

proof im actually 15 ANNIE

Answers

Answer:

.

Step-by-step explanation:

Answer:

????

Step-by-step explanation:

lol can I pls get brainliest

What is the value of |a-b|?​

Answers

Answer:

|3+2|=5

Step-by-step explanation:

2x+1=5

2x+=-5

x=2

x=-3

a= -3, b=2

On a long hike, Greg forgets to fill his canteen. Fortunately, Harold has 40 ounces of water and jake has 60 ounces. The three hikers share water so that each gets an equal amount. At the end of the hike, Greg gives Harold and Jake $5 to split for the water they gave him. How much should Harold and Jake get?

Answers

Answer:

Jake should get $3 because he would have given more water since he had the most out of all of them. Harold should get $2 because he gave less water

Step-by-step explanation:

The amount that Harold and Jake will get is $2 and $3, respectively.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Harold has 40 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,

Amount of water = Total water / Number of persons

                             = 40 ounces of water / 3 person

                             = (40/3) ounces per person

Thus, Greg will get (40/3) ounces of water from Harold.

Similarly, Jake has 60 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,

Amount of water = Total water / Number of persons

                             = 60 ounces of water / 3 person

                             = (60/3) ounces per person

Thus, Greg will get (60/3) ounces of water from Harold.

Further, Harold and Jake will get the money in the ratio of the amount of water they shared, therefore, we can write,

(40/3)x + (60/3)x = $5

(40x + 60x)/3 = 5

100x = 5 × 3

x = 15/100

Furthermore, the money each of two will get is,

Amount that Harold will get,

(40/3)x

= (40/3) × (15/100)

= $2

Amount that Jake will get,

(60/3)x

= (60/3) × (15/100)

= $3

Hence, the amount that Harold and Jake will get is $2 and $3, respectively.

Learn more about Ratios here:

https://brainly.com/question/1504221

#SPJ2

2. The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers aj set up the variables (2 marks) Let Then represent the first number will represent the second number b) What is the equation that represents the above situation? (2 marks) c) Solve the equation. (2 marks)

Answers

Answer:

Larger number = 34

Smaller number = 17

Step-by-step explanation:

Given that:

Sum of numbers = 51

Let,

x be the larger number

y be the smaller number

According to given statement;

x+y=51       Eqn 1

x = 2y        Eqn 2

Putting x=2y in Eqn 1

2y+y=51

3y=51

Dividing both sides by 3

[tex]\frac{3y}{3}=\frac{51}{3}\\y=17[/tex]

Putting y=17 in Eqn 2

x=2(17)

x=34

Hence,

Larger number = 34

Smaller number = 17

what's the value of x 16x+9​

Answers

Answer:

x2+16x=9 x 2 + 16 x = 9. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b . (b2)2=(8)2 ( b 2 ) 2 . x^2+16x+9=0

Step-by-step explanation:

if this is not

Convert 0.263 repeating (the 63 are repeating) into a fraction.

Answers

Answer:

[tex]\frac{29}{110}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 63 placed after the decimal point

let x = 0.2636363.... ( multiply both sides by 10 and 1000 )

10x = 2.6363... → (1)

1000x = 263.6363.... → (2)

Subtracting (1) from (2) eliminates the repeating value, that is

990x = 261 ( divide both sides by 990 )

x = [tex]\frac{261}{990}[/tex] = [tex]\frac{29}{110}[/tex] ← in simplest form

The number n = 0.263 as a fraction is A = 263/999

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the number be represented as n = 0.263

Now , the Let x = 0.263636363 repeating

Multiply both sides by 1000 to move the decimal point to the right:

1000x = 263.636363 repeating

Subtract x from both sides:

999x = 263

Divide both sides by 999:

x = 263/999

Hence , 0.263636363 repeating is equivalent to the fraction 263/999

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ2

i need help plz!!!! i dont under stand

Answers

Answer:

Point Form:

( 0 , 3 )

Equation Form:

x = 0 , y = 3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Hi, please help me

c - 4d =

C= 10
D=2

It's algebra​

Answers

Answer:

All you do is replace the variable with the numbers given to replace them.

So your new equation is 10-4(2) this was given to you C=10 , D=2

Okay, let's solve it 10-4(2)

4*2 equals 8 so now it's 10-8

10-8

= 2

can someone pls help me i need to know what is 2x - 1 = 7

Answers

Answer:

The solution for x would be 4.

Step-by-step explanation:

2x - 1 = 7

The value of x is unknown, but you do know that you are multiplying 2 by x. So, if you rewrite the equation as 7+1=2x, you know that 8=2x. If you then divide both sides by 2, you're left with 4=x which would mean that the variable x has a solution of 4

4. An annual pass covering emtrance fees to more than
2,000 national parks costs $80. If the total income from
the annual passes is $12,800 in one month, which equation
can you use to find the number of passes purchased that month?
F. 12,800p = 80
H. 80p = 12,800
G. 12,800 – p = 80
J. 80 + p = 12,800

Answers

Answer:

Search it up

Step-by-step explanation:

Someone already answered it on brainly

A diver went down 25.55 feet below the surface of the ocean, and then 11.5 feet further down, he then rose 12.25 feet. Enter and solve an expression to find the diver's new depth.

Answers

Answer: it would be 24.8ft

The answer above is correct

5,423,000 divided by 100,000 ( Please help ASAP)

Answers

the answer for this question is 54.23

Answer:

54.23

Step-by-step explanation:

i just divided in calculator

Is this a linear function
х
-2
-1
0
2
HIO
у
3
5
7
11

Answers

Answer:

yes it is a linear function

Step-by-step explanation:

Don't trust me but trust me-

PLS HELP AND EXPLAIN THE ANSWER

Answers

Answer:

the answer is d!! I hope it helped please lmk if not

The answer above is wrong, it is A

Please help a bruddah out its 8 pm and I'm grinding on schoolwork.

Answers

This is the answer I got according to the app called “Math”
i got 140 z ^2 the square root and 6z in the square root

ASAp question in pic

Answers

Answer:

B and E

Step-by-step explanation:

They have different slopes so of course they will have to intersect at least 1 time. And if they were curved, it would be more than 1. But these are lines so it would be just 1 intersection. So B is one of the answers.

The solutions of the system are x = 0 and y = 2

I hope this helped, please mark me brainliest!

Step-by-step explanation:

y = 2x + 2 and y = 6x + 2

=> 2x + 2 = 6x + 2

=> 2x = 6x

=> 4x = 0, x = 0.

Therefore y = 2(0) + 2 = 2.

The point of intersection is (0, 2).

Hence there is exactly 1 point of intersection and exactly 1 real solution. (B and E)

A school purchases a used van that costs $10,000. The value, V(t), in dollars, of the van t years since its purchase is modeled by the exponential function V(t)=10,000(0.8)^t . Select ALL statements that are true regarding the value of the van. a.The value of the van decreases by 20% each year since its purchase. b.The value of the van decreases by 80% each year since its purchase. c.The value of the van decreases by $2,000 each year since its purchase. d.Each year since its purchase, the value of the van is 80% of the value of the previous year. e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.

Answers

Answer:

a.The value of the van decreases by 20% each year since its purchase.

b.The value of the van decreases by 80% each year since its purchase.

d.Each year since its purchase, the value of the van is 80% of the value of the previous year.

Step-by-step explanation:

From the above question, we are given the Exponential function

V(t)=10,000(0.8)^t

Verifying the given options:

a.The value of the van decreases by 20% each year since its purchase.

Option a is correct , this is because, the Exponential function above is and Exponential Decrease.

The formula is given as:

V(t) = 10000(1 - r) ^t

Where r = Decreasing rate

Comparing

= 1 - r = 0.8

= 1 - 0.8 = r

r = 0.2

Converting to percentage

= 0.2 × 100 = 20%

Option a is correct

b.The value of the van decreases by 80% each year since its purchase.

Let solve for t = 1 and t = 2

V(t) = 10000(0.8) ^t

When t = 1

= 10000× 0.8¹

= 8000

When t = 2

= 10000× 0.8²

= 6400

Confirming option d

For year 2

= 80% × year 1

Year 1 = 8000

= 80% × 8000 = 6400

Option b is correct

c.The value of the van decreases by $2,000 each year since its purchase.

Option C is incorrect

d.Each year since its purchase, the value of the van is 80% of the value of the previous year.

Option d is correct because

Let solve for t = 1 and t = 2

V(t) = 10000(0.8) ^t

When t = 1

= 10000× 0.8¹

= 8000

When t = 2

= 10000× 0.8²

= 6400

Confirming option d

For year 2

= 80% × year 1

Year 1 = 8000

= 80% × 8000 = 6400

Option d is correct

e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.

Option e is incorrect

From the options given in the question, the correct statements are,

Options a, b, and d.

Help please, will mark you brainliest (Only if the answer is correct)

Answers

Answer:take numbers first, the Lcm is 24

Consider x, the highest power is 2

y, the highest power is 3

and z has 2 as its highest power.

:. The lcm is 24 x^2y^3z^2

Step-by-step explanation:

Answer:

this is me with another account, adding another anser just to mark you brainliest lol

Step-by-step explanation:

Bagels at Walmart are 4 bagels for $3.00. What is the unit rate?

Answers

Answer:

0.75 per bagel

Step-by-step explanation:

$3.00 divided by 4 bagels is 0.75 cents for a bagel

The unit rate is $1.3.

To find unit rate you divide.

So in this problem you divide 4 by 3.00 and get 1.3333333 ect. It’s just 1.3. Then add the $ sign. So the answer is $1.3.

Ivan in inventory has a whole bunch of numbers just sitting around. He wants to build a “Multiples of 2” set in his free time. How can he tell which numbers belong in this set?

Answers

Answer:

If they are divisible by 2

Step-by-step explanation:

:))

like ex.

2 4 6 8 10 12

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