Is the expression 3x^2-5x^3 a Polynomial? If yes, what is the degree?

Answers

Answer 1

Answer: The answer is: it is a fifth degree binomial or 'quintic binomial'.

Step-by-step explanation:

Is the expression 3x^2-5x^3 a polynomial?

So, we have to know what polynomial means. A polynomial is... "an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables."

So let's take a look at this expression.

Does it consist of variables and coefficients? YES

Does it only involve operations of addition, subtraction, multiplication, and non-negative integer exponents of variables? YES

Therefore, it is a polynomial.

Now, we have to figure out what degree this polynomial is.

The degree of the polynomial is the degree of the monomial with the largest degree.

So the largest degree would be the 3rd degree, because it is, of course, the largest out of the two powers listed.

And also, keep in mind that this is a binomial (made up of two monomials).

Therefore, it is a fifth degree binomial or 'quintic binomial'.


Related Questions

What is the range of the function represented by these ordered pairs?

Answers

Answer:

B

Step-by-step explanation:

The range of a data set is the y-coordinates of the ordered pairs.

So, we have the ordered pairs:

{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}

So, the range will be (the bolded numbers):

{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}

Thus, our answer is:

{-1, 0, 1, 7}

Note that the range should be in ascending order.

Also note that even though 7 appears twice, 7 is 7, so we only put one 7.

The answer is B.

Solve for x (image below)

Answers

Answer:

-12

Step-by-step explanation:

2x+29+8=×+25

Solve for x

can you draw a triangle with 90 degrees 60 degrees and 60 degrees

Answers

Answer:

no

Step-by-step explanation:

the sum of interior angles of a triangle should be 180

so the three possible angles would be 90 degree 60 degree and 30 degree

Answer:

[tex]\huge\boxed{\sf NO.}[/tex]

Step-by-step explanation:

The interior angles of a triangle must be adding to 180 degrees for it to "be" a triangle.

Let's check if 90°,60° and 60° are adding to 180°.

=> 90+60+60

=> 210°  > 180°

Since they are not adding to 180°, a triangle with the given angles cannot be formed.

PLEASE HELP BRAINLIEST PLUS 5 STARS FOR ANSWER INCLUDE EXPLANATIONS PLZZZZZZZZZZZZZZZZZ

Answers

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

Step-by-step explanation:

Question 1 (2 points) The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. a. What is the time in seconds the toy robot moves when the total distance is 408 centimeters? Seconds b. What is the distance in centimeters the toy robot moves after 3 seconds? Centimeters

Answers

Answer:

a.    [tex]T = 17s[/tex]

b.    [tex]D = 72cm[/tex]

Step-by-step explanation:

Given

Direct Variation

[tex]Distance(D)\ \alpha\ Time (T)[/tex]

D = 264 cm when T = 11 s

Calculating (a)

First, the constant of variation (k) as to be calculated;

Since, there exist a direct proportion; then,

[tex]D\ \alpha\ T[/tex]

[tex]D = kT[/tex]

Make k the subject of formula

[tex]k = \frac{D}{T}[/tex]

D = 264 cm when T = 11 s; So

[tex]k = \frac{264}{11}[/tex]

[tex]k = 24[/tex]

So: Solving for (a)

[tex]D = 408[/tex]

Substitute 408 for D and 24 for k in [tex]D = kT[/tex]

[tex]408 = 24 * T[/tex]

Divide both sides by 24

[tex]\frac{408}{24} = T[/tex]

[tex]T = \frac{408}{24}[/tex]

[tex]T = 17s[/tex]

Hence, time to move a distance of 408cm is 17s

Calculating (b)

[tex]T = 3[/tex]

Substitute 3 for T and 24 for k in [tex]D = kT[/tex]

[tex]D = 24 * 3[/tex]

[tex]D = 72cm[/tex]

Hence, distance covered in 3 seconds is 72cm

(3)zach wishes to accumulate $50,000 in a fund at the end of 20 years. if he deposits $100 + x in the fund at the end of every 3 months for the first 10 years and $100 in the fund at the end of every 3 months for the second 10 years, find x to the nearest dollar if i(4) = .04. (ans $519.79)

Answers

Answer:

$519.79

Step-by-step explanation:

The formula is:

[tex]PV = P (\frac{1 - ( 1 + r ) ^{-n}}{r})[/tex]

[tex](100+x)\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }(1+\frac{0.04}{4})^{40}[/tex]  [tex]+100\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }=50000[/tex]

[tex](100+x)(\frac{(1+0.01)^{40} -1}{0.01}) (1+0.01)^{40}[/tex] [tex]+(100)(\frac{(1+0.01)^{40} -1}{0.01} )=50000[/tex]

(100+x) [(1.488864 - 1) / 0.01] (1.488864) + (100) [(1.488864 - 1) / 0.01] = 50000

(100+x) [(0.488864 / 0.01)] (1.488864) + (100) (0.488864 / 0.01) = 50000

(100+x) (48.8864) (1.488864) + (100) (48.8864) = 50000

(100+x) (48.886373) (1.488864) + 4888.64 = 50000

(100+x) (72.785161) + 4888.64 = 50000

7278.5161 + 72.785161 x + 4888.64 = 50000

12167.1561  + 72.785161 x  = 50000

72.785161 x  = 50000 - 12167.1561  

72.785161 x  = 37832.8439

x = 37832.8439 / 72.785161

x = 519.787871

x = $519.79

one less than the quotient of a number and -5

Answers

Answer:

(-x/5) - 1

Step-by-step explanation:

Step 1: Translate word into math

one less = - 1

quotient of a number and -5 = x/-5

Step 2: Combine

(x/-5) - 1

Step 3: Simplify

(-x/5) - 1

Find the coordinates?HELP^

Answers

Answer:

21/2,-14

Step-by-step explanation:

midpoint formula [tex] = [/tex]x1+x2÷2,y1+y2÷2

I need help with this!!!

Answers

Answer:

1. quarant 2

2. quadrant 1

3. quadrant 2

4. quadrant 4

5. quadrant 4

6. quadrant 2

7.quadrant 2

8. quadrant 3

Step-by-step explanation:

HELP WILL MARK BRAINLIEST HEEEELPPP!!!!!!!!! Four people need to cross a dark river at night.They have only one torch and the river is too risky to cross without the tourch. if all people cross simultanoesly then torch light wont be sufficient.Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the river ?

Answers

Answer:

13 minutes

Step-by-step explanation:

Person 1: 1 min

Person 2: 2 min

Person 3: 7 min

Person 4: 10 min

Person 1, 3, and 4 cross first, which will take 10 minutes.

Then, Person 1 comes back, taking 1 minute.

Person 1 and Person 2 cross the river, taking 2 minutes.

10 + 1 + 2 = 13 minutes.

51.68 feet per hour. Convert this speed to inches per minute.

Answers

Answer:

10.336.

Step-by-step explanation:

There are 12 inches in 1 foot so 51.68 ft/hr

= 51.68 * 12 in/hr.

Now there are 60 minutes in an hour so the speed in inches/minute

= 51.68 * 12 / 60

= 10.336.

find the value of X and y from the figure​

Answers

Answer:

180° = x + (2x -15)

180°=3x-15

3x = 195

x =65°

x + y = 180°

65+ y= 180°

y = 115°

Answer:

x = 65, y = 115

Step-by-step explanation:

x and 2x - 15 are adjacent angles and supplementary, thus

2x - 15 + x = 180

3x - 15 = 180 ( add 15 to both sides )

3x = 195 ( divide both sides by 3 )

x = 65

y and 2x - 15 are congruent ( alternate angles ), thus

y = 2x - 15 = 2(65) - 15 = 130 - 15 = 115

For every paycheck you receive, your employer pays 6% to social security. Write this percent as a ratio with a denominator of 100.

Answers

Answer:

6/100

Step-by-step explanation:

Since x% means x/100, that means 6% = 6/100.

If you would like more tutoring on math or other subjects for FREE, check out growthinyouth.org.

the marked price of
b) The price of an electric fan is fixed 20% above its cost price. When it is sold allowing
18% discount, there is a loss of Rs 20. Calculate the marked price and the selling price
of the fan.
min of​

Answers

Answer:

MP =  Rs. 1500

SP =  Rs. 1230

Step-by-step explanation:

Let the Cost Price (CP) be x

Then Market Price (MP):

MP = x+ 20% = 1.2x

Discounted Selling Price (SP):

SP = MP - 18% = 0.82*1.2x = 0.984x

Since the difference between CP and SP is Rs.20:

x - 0.984x = 200.016x = 20x= 20/0.016x = 1250

Then:

MP = 1.2*1250= Rs. 1500

and

SP = 1500*0.82 = Rs. 1230

Consider the tile pattern below. Completely describe what figure 100will look like. How many tiles will be in figure 100? Explain how you know

Answers

Answer:

101 up on the left

100 up on right

6 across the bottom

Step-by-step explanation:

their is always six along the bottom

up on the right is whateve number the figure is it increase one everytime

101 up on the left because figure one stats with 2 and from their one is added

The solution is

a) The figure will have 100 rows of 6 tiles and 1 row having 1 tile

b) The number of tiles in figure 100 will be 601 tiles

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the figure 100 be represented as = a₁₀₀

Let the number of tiles in the first figure be a₁

The value of a₁ = 7 tiles

Let the number of tiles in the second figure be a₂

The value of a₂ = 13 tiles

So , the common difference of the arithmetic sequence is d

d = second term - first term

d = 13 - 7

d = 6

Now , the value of figure a₁₀₀ is calculated by the formula

Tn = a + (n - 1) d

Substituting the values in the equation , we get

a₁₀₀ = 7 + ( 100 - 1 ) 6

a₁₀₀ = 7 + ( 99 x 6 )

a₁₀₀ = 7 + 594

The value of a₁₀₀ = 601

Therefore , the figure will have 100 rows of 6 tiles and 1 row having 1 tile

And , the total number of tiles in the figure is 601 tiles

Hence , The figure will have 100 rows of 6 tiles and 1 row having 1 tile and

the number of tiles in figure 100 will be 601 tiles

To learn more about arithmetic progression click :

https://brainly.com/question/1522572

#SPJ2

Which of the following options have the same value as 10% of 332
Choose 3 answers:

Answers

Answer:

33.2

Step-by-step explanation:

Multiply 332 by 0.1

or 332/10=33.2

2/5 in fraction form

Answers

Answer:

2/5 is already a fraction.... it's an improper fraction.

The smell of the flowers ____ sweet. 1. was 2. are

Answers

the answer would be 2 are

Answer:

1. was (but I think it should be is)

Step-by-step explanation:

the smell of flowers was/is sweet

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

The sentence is referring to the smell, and smell is singular, so we should is or was

Hope this helps!! :)

Write the fraction below in simplest form.

Answers

Answer:

A.  2a² / 5b

Step-by-step explanation:

12a³b² / 30ab³

cancel the common factor = 6

= 2a³b² / 5ab³

cancel the common factor = a

= 2a²b² / 5b³

apply exponent rule, so

= 2a² / 5b³ ⁻ ²

subtract 3 - 2 = 1

= 2a² / 5b

13f + 6 -f = -3

help?

Answers

Answer:

f = -3/4

Step-by-step explanation:

13f + 6 -f = -3

Combine like terms

12f +6 = -3

Subtract 6 from each side

12f+6-6 = -3-6

12f = -9

Divide each side by 12

12f/12 = -9/12

f = -3/4

Answer:

f= -3/4 or -0.75

Step-by-step explanation:

We are given the equation:

13f + 6 -f = -3

First, let's combine like terms. Subtract f from 13f.

(13f-f) + 6 = -3

12f + 6= -3

We want to find f. Therefore, we must isolate the variable on one side of the equation.

6 is being added to 12f. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

12f + 6 -6 = -3-6

12f= -3-6

12f= -9

f is being multiplied by 12. The inverse of multiplication is division. Divide both sides by 12.

12f/12= -9/12

f= -9/12

This fraction can be reduced. Both the numerator and denominator can be divided by 3.

f = (-9/3) / (12/3)

f= -3/4

f=-0.75

The solution to the equation is f= -3/4 or -0.75

Warm-Up 2: Three different animals were given a certain amount of money. A
bird was given $9.00, an octopus was given $36.00, and a bee was given $27.00.
Based on that information, how money would a dog be given? Explain and show
your thinking

Answers

Is this the full question?

Last week, a candy store sold 6 1/3 pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate. How many pounds (in mixed number form) of milk chocolate did the candy store sell last week?

Answers

Answer:C

Step-by-step explanation:

Change 6 1/3 into a mixed number so 19/3 then multiply 19 * 4 then divide by 4. So C

Answer:

25 1/3 C

Step-by-step explanation:

1.
If'C is the midpoint of the line segment joining points A(4,1) and
B(2,3), then y-coordinate of point ' C is 4
TRUE
FALSE

Answers

Answer:

false

Step-by-step explanation:

Answer:false

Step-by-step explanation:

Write an absolute value equation that has solution x = -6 and x = 10

Answers

Answer:

|x - 2| = 8

Step-by-step explanation:

The midpoint between -6 and 10 is;

(-6 + 10)/2 = 4/2 = 2

This means that the distance between 2 and either -6 or 10 will be 8.

Now, the absolute value equation will have to say that the distance between x and 2 is 8.

Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.

This gives us the absolute value equation:

|x - 2| = 8

find the perimeter of rhombus star

Answers

Answer:

[tex] 4\sqrt{10} [/tex]

Step-by-step explanation:

Perimeter of the rhombus, STAR, is the sum of the length of all it's 4 sides.

The coordinates of its vertices are given as,

S(-1, 2)

T(2, 3)

A(3, 0)

R(0, -1)

Length of each side can be calculated using the distance formula given as [tex] d = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Find the length of each side ST, TA, AR, RS, using the above formula by plugging in the coordinate values (x, y) of each vertices.

[tex] ST = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

S(-1, 2) => (x1, y1)

T(2, 3) => (x2, y2)

[tex] ST = \sqrt{(2 -(-1))^2 + (3 - 2)^2} [/tex]

[tex] ST = \sqrt{(3)^2 + (1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]

[tex] TA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

T(2, 3) => (x1, y1)

A(3, 0) => (x2, y2)

[tex] TA = \sqrt{(3 - 2)^2 + (0 - 3)^2} [/tex]

[tex] TA = \sqrt{(1)^2 + (-3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]

[tex] AR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

A(3, 0) => (x1, y1)

R(0, -1) => (x2, y2)

[tex] AR = \sqrt{(0 - 3)^2 + (-1 - 0)^2} [/tex]

[tex] AR = \sqrt{(-3)^2 + (-1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]

[tex] RS = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

R(0, -1) => (x1, y1)

S(-1, 2) => (x2, y2)

[tex] RS = \sqrt{(-1 - 0)^2 + (2 -(-1))^2} [/tex]

[tex] RS = \sqrt{(-1)^2 + (3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]

[tex] Perimeter = ST + TA + AR + RS [/tex]

[tex] Perimeter = \sqrt{10} + \sqrt{10} + \sqrt{10} + \sqrt{10} = 4\sqrt{10} [/tex]

Ugh, I hate math but... I got to stay positive... PLEASE HELP ME

Answers

Answer:

h(4)= -2

Step-by-step explanation:

plug in 4 into the x:

h(4)=-4+2=-2

Which is a solution to the equation? (x −2)(x + 5) = 18 x = −10 x = −7 x = −4 x = −2

Answers

Answer:

Solutions:

[tex]x=-7[/tex]

[tex]x=4[/tex]

Step-by-step explanation:

[tex](x-2)(x + 5) = 18[/tex]

Expanding the factored form:

[tex]x^2+5x-2x-10=18[/tex]

[tex]x^2+3x-28=0[/tex]

Factoring the second-degree polynomial:

[tex](x+7)(x-4)=0[/tex]

This is true for

[tex]x=-7 \text{ or } x=4[/tex]

Answer:

B

Step-by-step explanation:

Is the expression X^3 equivalent to X^3•3•3

Answers

Answer:

I think if you take the x out it would be equivalent

Step-by-step explanation:

3•3•3

What is the missing reason in the proof?
HELP!! ASAP

Answers

Answer:

c mark me as brainliest

Step-by-step explanation:

What is the degree of the following Polynomial? 6xy4 - 3x3 - 4

Answers

Answer:

5th degree polynomial

Step-by-step explanation:

The degree of a polynomial is the highest sum of the exponents in one term.

So we have the polynomial:

[tex]6xy^4-3x^3-4[/tex]

Calculate the degree of each term:

1st Term:

[tex]6xy^4[/tex]

This is the same as:

[tex]6x^1y^4[/tex]

So, our degree is 1+4=5.

2nd Term:

[tex]-3x^3[/tex]

There is only one variable. So, the degree is 3.

3rd Term:

[tex]-4[/tex]

This is the same as:

[tex]-4x^0[/tex]

So, this is a zeroth degree.

The largest degree is 5.

So, this is a fifth degree polynomial.

Notes:

To be more specific, this is a fifth degree trinomial.

Answer:

third degree

Step-by-step explanation:

it is a third degree polynomial because the equation is considered cubic. cubic means to the 3rd power. its cubic because there's three parts to the equation

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