What is the degree of the polynomial 7x^3+2x^2y^4z

Answers

Answer 1

The polynomial 7x3+2x2y4z has a degree of 7.

Degree polynomial: What is it?

The highest exponential power in a polynomial equation is called the polynomial's degree. Any polynomial's degree is determined solely by its variables; coefficients are to be disregarded. The degree of a polynomial is p for an nth degree polynomial function with real coefficients and x as the variable with the highest power n, where n accepts whole integer values (x).

based on the provided statement

Let's add exponents to determine each term's degree.

Degree of 7x³ (= x³) is =3

Degree of 2x²y⁴z (= 2+4+1) is = 7

Among all these degrees, 7 is the highest number and hence the degree of the given polynomial is 7.

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Related Questions

30 POINTS!!!!
A linear function is shown on the graph.

a linear function beginning with closed circle at 2 comma 0 and ending with a closed circle at 9 comma 7
What is the domain of the function?

{x | 2 < x < 9}
{x | 2 ≤ x ≤ 9}
{y | 0 < y < 7}
{y | 0 ≤ y ≤ 7}

Answers

The domain of the function is {x | 2 ≤ x ≤ 9}

What is the domain of a function?

The domain of the function is the set of input values of the graph

How to determine the domain of the function?

The given parameters are

A linear function begins with closed circle at (2,0) and ends with a closed circle at (9,7)

This is represented as

(x, y) = Closed (2, 0)

(x, y) = Closed (9, 7)

Remove the y values to determine the domain

x = Closed 2

x = Closed 9

The closed statement represents the inequality ≤

So, we have

2 ≤ x ≤ 9

Hence, the domain of the function is {x | 2 ≤ x ≤ 9}

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Answer:

B. {x | 2 ≤ x ≤ 9}

Step-by-step explanation:

Solve the solution for X/8+2=3x/4-3

Answers

Answer:

x=8

Step-by-step explanation:

multiply both sides of the equation by 8

combine like terms

divide both sides of the equation by -5

5/9 (d - 12) = 10 A linear equation is shown above. Which of the following values of d is a solution to the equation?​

Answers

For the given equation, the value of d = 30

How to solve an equation?

To solve linear equations, utilize the steps that are provided below. Remove parenthesis from either side of the equation and combine similar phrases to make it simpler. To separate the variable term on one side of the equation, use addition or subtraction. To find the variable, use division or multiplication.

Divide both sides of the equation by the coefficient of variable: d-12 = 10÷ 5/9

Divide a fraction by multiplying its reciprocal: d 9 -12=10 x 9/5

Write as a single fraction: d-12 = (10 x 9) / 5

Calculate the product or quotient: d-12= 90 / 5

Reduce fraction to the lowest term by canceling the greatest common factor: d-12 = 18

Rearrange unknown terms to the left side of the equation: d=18+12

Calculate the sum or difference: d=30

Answer: d=30

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In this problem, you will investigate the relationships among three points of concurrency in a triangle.
a. Draw an acute triangle and find the circumcenter, centroid, and orthocenter.

Answers

Construct an acute triangle and find the centroid (medians), circumcenter (perpendicular bisectors), and orthocenter (altitudes). Take note of how these three centers interact with one another from the figure.

What are acute triangles?

An acute angle triangle (also known as an acute-angled triangle) is a triangle with all of its interior angles being acute angles. Remember that an acute angle is one that is less than 90°.

A triangle with three acute angles is known as an acute triangle. An obtuse triangle has one obtuse angle and two acute angles. Because the angles of a triangle in Euclidean geometry must sum to 180°, no Euclidean triangle can have more than one obtuse angle.

Construct an acute triangle and find the centroid (medians), circumcenter (perpendicular bisectors), and orthocenter (altitudes). Take note of how these three centers interact with one another from the figure.

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Translate each sentence into an equation.
1. The sum of three times a and four is the same as five times a.

2. One fourth of m minus six is equal to two times the sum of m and 9.

3. The product of five and w is the same as w to the third power.

Answers

Translate each sentence into an equation. which are as follows the value of a is 2, the value of m is 13.71 and the value of w is the root of 5.

1. The sum of three times a and four is the same as five times a.

3a+4 = 5a

3a = 5a -4

4 = 5a-3a

4= 2a

2 =a

2. One-fourth of m minus six is equal to two times the sum of m and 9.

1/4m - 6 = 2 (m+9)

1/4m = 2m +18+6

1/4m = 2m + 24

2m -1/4 m = -24

7/4 m = -24

m = -24*4/7 = 13.71

The value of m is 13.71

3. The product of five and w is the same as w to the third power.

5*w = w.w.w

5 = w.w.w/w

5 = w.w

root of 5 = w

The value of w is the root of 5

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What is the slope of the line passing through the points

(2,5) and (4, 1)?

Answers

Answer:

-2

Step-by-step explanation:

Slope = rise/run

[tex]\mathrm{Slope} = \frac{y_2-y_1}{x_2-x_1}\\m=\frac{1-5}{4-2}\\1 - 5 = -4\\4 - 2 = 2\\=\frac{-4}{2}\\ =-2[/tex]

A handyman company serves customers from two cities 60 miles apart, Jonesville and Bellevue. The company would like to position a new office between the two cities using weighted averages based on the typical number of calls received from each city. If Jonesville has a weight of 3 and Bellevue has a weight of 5, how far from Bellevue should the office be located?

_____ miles.

Answers

It should be noted that the distance of

Bellevue from the office be located will be 13.85 miles.

How to illustrate the information?

It should be noted that based on the information, the handyman company serves customers from two cities 60 miles apart, Jonesville and Bellevue and the vompany would like to position a new office between the two cities using weighted averages based on the typical number of calls received from each city.

From the information, Jonesville has a weight of 3 and Bellevue has a weight of 5, the distance of

Bellevue from the office be located will be:

= (0 × 5 + 60 × 4) / (5 × 8)

= 180 / 13

= 13.85

The office should be 13.85 miles from Bellevue.

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plsss helppp meeee i have more questions toooo

Answers

Answer:

you should use subtraction to solve this problem

Antonio spent 1/2 hours longer at soccer practice then baseball practice

Step-by-step explanation:

9/10-2/5

9/10-4/10

=

5/10 or 1/2

Shaquana has a points card for a movie theater.
She receives 40 rewards points just for signing up.
• She earns 13.5 points for each visit to the movie theater.
• She needs 175 points for a free movie ticket.
How many visits must Shaquana make to earn a free movie ticket?

Answers

This is an algebraic function
She earns 40 points for signing up which is her constant
40+13.5x=175
175-40=135
135 divided by 13.5= 10
10 movie tickets is the final answer

The perimeter of a square is 4 times as
great as the length of any of its sides.
Determine if the perimeter of a square is proportional to its side length. Explain.

Answers

Answer:

Perimeter of a square is proportional to side length

Step-by-step explanation:

We have the relation p = 4a, p = perimeter, a = side length

This is the equation for a proportionate relationship of the form y = k.x where y ∝ x , y directly proportional to x => y varies as x varies and always by the same constant

k is known as constant of proportionality

Here k = 4

Let's say the side of square is 1. Then perimeter = 4

If side is increased to 2, then perimeter = 4 x 2 = 8

If side is increased to 3, then perimeter is 4 x 3 = 12

So perimeter increases by a factor of 4 for every unit increase in side length


Roxy and Randy are selling pancake breakfast plates to raise money for a class trip.

Roxy is selling plates for $5.00 and has already raised $175. Randy is selling plates for $3.50 and has already raised $250.

Which equation can be used to nd p, the number of plates that Roxy and Randy must sell so that the total amount raised is the same for both Roxy and Randy?

Answers

The total amount raised is the same for both Roxy and Randy if they sell 50 Plates.

Let the number of plate = 'p'

Roxy :

Selling price of plates = $5.00

Raised = $175

Total plates sold = 5.00p

Total amount raised = 5.00p + 175  ...eq.(1)

Randy :

Selling price of plates = $3.50

Raised = $250

Total plates sold = 3.50p

Total amount raised = 3.50p + 250  ...eq.(2)

Now we will equate the eq.(1) and eq.(2) to find the same amount raised by both Roxy and Randy ,

5.00p + 175 = 3.50p + 250

5.00p - 3.50p =250 - 175

              1.5p = 75

                   p = 75/1.5

                   p = 50

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A triangular land has length of edges 55 m, 60 m and 65 m respectively. Find the length o the fence around it.​

Answers

The length of the fence around the triangular land is equal to 180 meters.

What is the length of the fence around the triangular land with given edge lengths?

The perimeter of a figure is the sum of the side lengths of the figure. Triangles have three sides and we need to determine the perimeter of the triangular land. If we know that l₁ = 55 meters, l₂ = 60 meters and l₃ = 65 meters, then the perimeter of the figure is:

p = l₁ + l₂ + l₃

p = 55 m + 60 m + 65 m

p = 180 m

The length of the fence around the triangular land is equal to 180 meters.

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Solve each equation. Check the solution. 4/2a = 5/a +6

Answers

Solution of polynomial 4/2a = 5/a +6 is , [tex]a=-\frac{1}{2}[/tex]

What are polynomial functions ?

In mathematics, polynomial function can be defined as the equation which consist of coefficient, variables and exponents. A polynomial equation has positive numbers as their exponent which is also known as its degree. All the equations such as monomials, quadratic equation, cubic equation, linear equation of one degree, two degree and more  which has non  negative number as their powers all are part of polynomial equation and can be taken as types of the polynomial equations.

Some examples of polynomial equation are :

2x+53x = 93x² + 5x+19(x-3)³

According to question,

[tex]\frac{4}{2a} = \frac{5}{a} +6\\\\= > \frac{2}{a} = \frac{5}{a} +6\\\\= > 5 + 6a =2\\ \\= > 6a = -3\\\\= > a = -\frac{3}{6} =-\frac{1}{2}[/tex]

Thus a = -1/2

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Determine whether each set of numbers can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. Justify your answer.
16,18,26

Answers

Yes, the given set of numbers can be the measures of the sides of a triangle. The triangle is acute.

By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.

16 + 18 > 26

18 + 26 > 16

26 + 16 > 18

Hence, these set of numbers can be the measures of the sides of a triangle.

According to the Pythagorean Inequality Theorem, a triangle whose sides measure a, b, and c where c is the largest, the triangle can be characterized as:

acute if [tex]a^{2} + b^{2} < c^{2}[/tex]

obtuse if  [tex]a^{2} + b^{2} > c^{2}[/tex]

right if  [tex]a^{2} + b^{2} = c^{2}[/tex]

The longest side is 26.

Hence, a = 16, b = 18 and c = 26;

Consider [tex]a^{2} + b^{2[/tex]  :

= [tex]16^{2} + 18^{2}[/tex]

= 580.

Now consider [tex]c^{2}[/tex] :

= [tex]26^{2}[/tex]

= 676.

Thus, [tex]a^{2} + b^{2} < c^{2}[/tex].

Hence, the triangle is acute.

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The stem of a flower has a diameter of 6.35 × 10^–3 meters. The diameter of the trunk of a tree is 40 times greater than the stem of the flower. What is the diameter of the trunk of the tree?

2.54 × 10^–2 meter

2.54 × 10^–1 meter

2.54 × 10^1 meters

2.54 × 10^2 meters

Answers

Hence , the diameter of the trunk of the tree is 2.54 × 10⁻¹ m which is option (B) .

An equation could be a statement, that has associate equal sign (=) between the pure mathematics expression. Linear equations area unit the equations of degree one. it's the equation for the line. The solutions of linear equations can generate values, that once substituted for the unknown values, build the equation true.

Let the diameter of stem of a flower be " x"  and diameter of the trunk of a tree be " y " .

According to the question  "The diameter of the trunk of a tree is 40 times greater than the stem of the flower " which can be represented by

y = 40 x       .....(1)

It is given that stem of a flower has a diameter of 6.35 × 10⁻³ meters.

Putting x = 6.35 × 10⁻³ in equation (1) , we get

 y = 40 × 6.35 × 10⁻³

 y = 254 × 10⁻³

 y = 2.54 × 10⁻¹ m

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The equation, x + 0.06x - 1.50 = 3.80 can be solved using the steps below.

Step 1: (1 + 0.06)x - 1.50 = 3.80

Step 2: 1.06x - 1.50 = 3.80

Step 3: 1.06x = 5.30

Step 4: x = 5.00

Match each step with the correct property used.


Associative property
Substation property
addition property of equality
division property of equality
distributive property
commutative property

Answers

The properties in each step is:

Step 1 and 2: distributive property

Step 3: addition property of equality

Step 4: division property of equality

How to Apply the Property of Equality?

Given the equation, x + 0.06x - 1.50 = 3.80, we can solve for x using the steps with the following appropriate properties shown below:

Step 1:

(1 + 0.06)x - 1.50 = 3.80 (distributive property)

Step 2:

1.06x - 1.50 = 3.80 (distributive property)

Step 3: Add 1.50 to both sides of the equation

1.06x = 5.30 (addition property of equality)

Step 4: Divide both sides by 1.06

x = 5.00 (division property of equality)

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Which number line best shows how to solve −4 − (−6)?

Answers

Answer:

  D

Step-by-step explanation:

You want to find the number line that shows the solution to -4 -(-6).

Number line operations

The first number in the "sum" is -4, so the first arrow on the number line should go from 0 to -4. (All choices show that.)

The second number is -6. Addition of -6 would create an arrow from -4 going 6 units to the left. Subtraction works in the opposite direction, so the subtraction of -6 will show as an arrow from -4 extending 6 units to the right. Only answer choice D shows this.

__

Additional comment

You know the solution is -4 -(-6) = -4 +6 = +2, so the graph showing the solution will have an arrow ending at +2. This eliminates all answer choices except the correct one.

<95141404393>

Solve for y.

A. 12
B. 13.5
C. 9
D. 10.5

Answers

Answer: C

Step-by-step explanation:

180° = 96° + 8y + 12

180° = angles on a straight line

180 - 96 - 12 = 8y

8y = 180 - 96 - 12

8y = 72

y = 72 / 8

y = 9

If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x). PLEASE HELP!!!

Answers

Option D) is correct option that is the function ,  (f + g)(x) = x – 7

Note that if we have been given two functions which are f(x) and g(x) then their addition will be given as

            (f + g)(x) = f(x) + g(x)             (1)

We have been given the equation as

f(x) = -3x - 5     and g(x) = 4x – 2

putting the required value in equation (1) we get

            (f + g)(x) = (-3x-5) + (4x-2)

            (f + g)(x) = -3x – 5 + 4x – 2

            (f + g)(x) = x – 7

Thus option D) is the correct option that is the function,  (f + g)(x) = x – 7

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Refer to ®N . Identify each.

b. a diameter

Answers

The diameter is the length of the line passing through the center and touching two points on the circle's edge.

What is the diameter?

In geometry, a circle's diameter is any straight line segment that passes through the center of the circle and has endpoints on the circle. It is also referred to as the circle's longest chord. Both definitions apply to a sphere's diameter.

The diameter is defined as the length of a line passing through the center and touching two points on the circle's rim.

A circle's diameter extends from one side to the other, with its midpoint in the center. Divide the radius of the circle by two to get the diameter.

A circle's diameter divides the shape in half. The radius of a circle is half the length of its diameter (or, conversely, the diameter of a circle is twice the length of its radius).

The complete question is:

Identify each

b. a diameter

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Which of the following situations could be represented by a graph with a y-intercept of -8?
A. Hal bought $8 worth of supplies, then sold x buttons for $3 each. His profit is y dollars.
B. Mr. May has 3 sticks left, and each student needs 8 sticks to make their craft project. There are x students, and they need y sticks in all.
C. Kim ran 3 laps clockwise and 8 laps counterclockwise, for a total of 5 miles of the track. The track is x miles long and she ran a total of y laps.
D. Jian bought 8 packs of paper and sold 3 origami swans. His current profit is -$5. A pack of paper costs x dollars and he sells the swans for y dollars.

Answers

The situation given that can be represented by a graph with a y-intercept of -8 is A. Hal bought $8 worth of supplies, then sold x buttons for $3 each. His profit is y dollars.

How to use the y-intercept?

The y-intercept is a figure in the linear equation that shows the original number of units before the value of x either started to increase or to decrease and therefore cause a change in x.

The situation where Hal bought $8 worth of supplies would be represented by the y-intercept of -8 because the $8 that Hal bought represents his total profit before he sells anything. That total profit is -8 because Hal has spent -$8 but has not sold anything.

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(k^2-5k-2)(k^2+2) polynomial in standard form

Answers

Answer:

[tex]K^{4} -5k^{3} -10k-4[/tex]

Step-by-step explanation:


7
4

p+(−
7
2

p)+
7
1


1

Answers

Answer: god please help the world

Step-by-step explanation: we are struggling

Answer: -6/7p+1/7

Step-by-step explanation: thank god I'm smart lol... I'm a big brain!!!

How do I find angle x?

Answers

The value of x is 280

How to determine the angle

From the information given, we have that;

Angle at the circumference = xAngle at the center = 140

It is important to note that, the angle subtended by an arc at the center is twice the angle subtended at the circumference.

Example;

If AOB  is the angle at the circumference and ACB is the angle at the center

Then, we have that;

Angle AOB = 2 × Angle ACB

2(140) = x

expand the bracket

x = 280

Thus, the value of x is 280

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Simplify the expression.
6-5 / 4-2

Answers

The simplified expression for (6-5 / 4-2) is 1/2 .

The given expression is,

6-5 / 4-2

First we need to solve the numerator which is (6-5) and on simplifying the numerator we can write,

Numerator = ( 6 - 5 ) = 1                         equation 1

Similarly, now we can proceed to solve the denominator which is (4 - 2) and on simplifying the denominator we write,

Denominator  = (4 - 2) =2                       equation 2

Now we can substitute the value of numerator and the denominator from equation 1 and equation 2 in the given expression (6-5 / 4-2) as,

(Numerator / Denominator) = (6-5 / 4-2) = 1/2

The simplified expression for (6-5 / 4-2) is 1/2 .

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-1.4 + (-1.2) thanks

Answers

Answer:

-2.6

Step-by-step explanation:

Answer: -2.6

Explanation:

What is the image of the point (3,4)(3,4) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?

Answers

The image of the point (3,4)(3,4) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin is (-3,4).

What is meant by the image of the points?

A point's reflection

The mirror's "reflection" of the specified point P causes it to appear at an equal distance away on the other side of the line. To view this, move the point P. According to tradition, the "image" of point P is the reflection of point P across the line, which is designated by the term P' (pronounced "P prime").

As the rotation is counterclockwise around the origin,

the coordinates of the image will be - (-3,4)

The graph is attached at the end of the solution.

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Answer:

-4, 3

Step-by-step explanation:


Amy is creating a pattern for a scarf she is knitting for her friend. How many lines of symmetry are there in the pattern?

Answers

4 lines of symmetry are there in the pattern.

What are an example and a pattern?

A pattern is defined as someone or something that is used as a guide to create a replica, a design, or an anticipated behavior. The paper pieces a seamstress uses to build a dress are an example of a pattern; a dress pattern. A pattern is something like polka dots. Rush hour traffic is an illustration of a pattern; a traffic pattern.

The square's two diagonals are symmetry lines.

Additionally, symmetry lines are formed by connecting the midpoints of the opposing sides. Consequently, there are four lines of symmetry overall.

4 lines of symmetry are there in the pattern.

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What is the conclusion of the given conditional
statement.
If it is a Thanksgiving, then we are not in
school.

Answers

Answer:

we are not in school

Step-by-step explanation:

Conditional: If it is a Thanksgiving, then we are not in school.

Hypothesis: If it is a Thanksgiving, then we are not in school.

Conclusion: If it is a Thanksgiving, then we are not in school.

Answer: we are not in school

40 points!!!
Simplify 5 - 2 · 3 + 4.

-5
21
13
3

Answers

The correct Answer is 3

Answer:

3

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

5-2*3+4   First multiply.

5-6+4 Now do addition or subtraction what comes first, from left to right.

-1+4 =

3

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