Mathematics High School

Classify the following expression by degree and term: (2 points)

x2y − 7xy + xyz + x

Answers

Answer 1
The degree of the expression is based on the term with the highest exponent. First we can simplify the expression because x2y and 7xy are like terms. You can rearrange x2y into 2xy (the arrangement will not change the product). So if you combine the like terms, you will have a new equation with only three terms, so it will be considered as a trinomial. 

xyz - 5xy + x

Remember to always arrange terms in your polynomial in descending order according to the degree. 

Now for degree, just get the sum of the exponents to determine the highest degree. The first term in the new equation has 3 variables, x,y, and z. Each of them, even when the power is not expressed are each raised to the power of 1. There are three variables so it will be:
1+1+1 = 3

The first term is classified as 3rd degree, which is the highest. So  now you can conclude that this expression is a 3rd degree trinomial. 

Answer 2

The given expression is a third-degree polynomial and consists of four terms: x^2y, -7xy, xyz, and x. Each term has a degree based on the sum of the exponents of the variables within it.

The expression in question is x2y − 7xy + xyz + x. To classify this expression by degree and by term, we need to look at the exponents of the variables in each term. The term 'degree' of a term in a polynomial is the sum of the exponents of the variables in that term.

x2y: The degree is 3 (2 from x2 and 1 from y).−7xy: The degree is 2 (1 from x and 1 from y).xyz: The degree is also 3 (1 from x, 1 from y, and 1 from z).x: The degree is 1, as there is only one occurrence of x.

So the expression is a polynomial of third degree with four terms.

Related Questions

Answers from anybody please??

Answers

The ratio of areas is the square of the ratio of linear dimensions. The smaller area is
.. (27 in^2)*(8/12)^2 = 27*(4/9) in^2 = 12 in^2

BRAINLIESTTT ASAP!!!!!!!!!

Answers

find where the blue and red lines touch
 the answer would be -3.5 and -0.5

the first choice is the correct one

Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year. Choose the equation that can be used to solve the problem.
A.) y=42000(1+.08)^6
B.) y=42000(1+6)^8
C.) y=42000(1−.08)^6
D.) y=42000(1−.8)^6
And then: What is the value of the car expected to be 6 years from now?
This is the only question I don't understand, someone help please!

Answers

i think the correct answer is

C.) y=42000(1−.08)^6

as for what it will cost in six years:

25466.91

not sure if you have to include the decimal or round it.

Answer:

Option (c) is correct.

[tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91

Step-by-step explanation:

Given :   Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year.

We have to choose the equation that can be used to solve the given problem.

We know

Depreciation formula given as,

[tex]A=P(1-\frac{r}{100} )^n[/tex]

Where A is the amount value after depreciation.

P is present value

r is depreciate rate.

n is time period.

Given : P = 42000  and r= 8% also given time period is 6.

Substitute , we have,

[tex]y=42000(1-\frac{8}{100} )^6[/tex]

Simplify , we have,

[tex]y=42000(1-0.08)^6[/tex]

Simplify we get,

[tex]y=25466.91[/tex]

Thus, [tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91

​ △JKL∼△QRS , JK is 8 centimeters, ​ QR ​is 12 centimeters, and RS is 9 centimeters.

What is ​ KL ​?

Enter your answer in the box.

Answers

Answer:

The measure of KL is 6 centimeters.

Step-by-step explanation:

It is given that  △JKL∼△QRS.

The corresponding sides of two similar triangles are proportional.

[tex]\frac{JK}{QR}=\frac{KL}{RS}[/tex]

[tex]\frac{8}{12}=\frac{KL}{9}[/tex]

[tex]8\times 9=KL\times 12[/tex]

Divide both sides by 12.

[tex]KL=\frac{72}{12}[/tex]

[tex]KL=6[/tex]

Therefore we can say that if △JKL∼△QRS, then the measure of KL is 6 centimeters.

Answer:

6

Step-by-step explanation:

He did too much math lol, a simple way of this is by dividing both sides initially.

12/9 = 1.5
9/1.5 = 6

Goran runs 6 miles in 57 minutes how many miles does he run per minute?

Answers

57/6 = 1/x
57 = 6x
x = 0.11 miles per minute

help me please asap and plz be correct :)

Answers

The radii are all equal, so
.. AI = BI
.. 3x +7 = 5x -11
.. 18 = 2x
.. 9 = x

Then
.. AI = 3x +7
.. = 3*9 +7
.. = 34

AI = 34

If cos B = 7 over 22, then which of the following is correct?

a. csc B = 7 over 22
b. csc B = 22 over 7
c.sec B = 7 over 22
d.sec B = 22 over 7

Answers

I think it is c. sec B=7 over 22
Hope this helped : )
D is the correct answer

Math question help :)

Answers

You have two similar triangles.
Use corresponding parts of the two triangles.
If two triangles are similar, then the lengths of corresponding parts are proportional.
The small triangle has a vertical side that measures 6 ft. That side corresponds to the height of the tree, h, in the large triangle.
The small triangle has a horizontal side that measures 10 ft. That side corresponds to the side of the large triangle that measures 40 ft.

6 ft corresponds to h
10 ft corresponds to 40 ft

[tex] \dfrac{6}{h} = \dfrac{10}{40} [/tex]

Answer:

Step-by-step explanation:

I think its D.

Suppose that an individual has a body fat percentage of 16.4% and weighs 153 pounds. how many pounds of her weight is made up of fat? round your answer to the nearest tenth.

Answers

The question is asking X lbs = 16.4% of 153 lbs.
So multiply 0.164 times 153 to get 25.1lbs of fat.

Four consecutive integers sum to 70. What is the least of the 4 integers?

Answers

The smallest integer is 16

Write an expression for the following situation and solve. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then gave 4 to his students. How many total pencils does Mr.Simms use and give away? Show your work.

Answers

Hi! 
1/4 of 20 pencils are 5 pencils.
Since he gave away 4 pencils,
Total = 5 + 4 = 9
Mr. Simms use and give away total 9 pencils.

Mr. Simms used 1/4 of the 20 pencils he bought, which equals 5 pencils, and gave away an additional 4 pencils, totaling to 9 pencils used and given away.

To solve how many total pencils Mr. Simms uses and gives away, we first find out how many pencils he used by taking 1/4 of the 20 pencils he bought. To do this, we multiply 20 by 1/4:

20 times 1/4 = 5

Mr. Simms used 5 pencils. He also gave away 4 pencils to his students. To find the total number of pencils used and given away, we add the pencils used to the pencils given away:

5 (used) + 4 (given away) = 9

Therefore, Mr. Simms used and gave away a total of 9 pencils.

What is the name of a ray that divides an angle into two equal angles?

Answers

That ray is an "angle bisector."

Select the correct product.

(2x + 9)(x + 1)

2x2 + 11x + 9
3x2 + 11x + 9
2x2 - 7x + 9
2x2 + 11x + 10

Answers

To find the answer of this problem, we need to distibute and multiply all of the numbers with each other.

2x * x + 2x * 1 + 9 * x + 9 * 1
= 2x^2 + 2x + 9x + 9
= 2x^2 + 11x + 9

The answer would be the first option.

Hope this helps!

Final answer:

To find the product of (2x + 9) and (x + 1), we use the distributive property and combine like terms, resulting in 2x² + 11x + 9.

Explanation:

The student is asking for the correct product when multiplying the binomials (2x + 9) and (x + 1). This is a math problem involving algebraic multiplication.

To find the product, we apply the distributive property (also known as FOIL method in binomials):

Multiply 2x by x to get 2x².Multiply 2x by 1 to get 2x.Multiply 9 by x to get 9x.Multiply 9 by 1 to get 9.

Combine the terms to get the final product: 2x² + 2x + 9x + 9, which simplifies to 2x² + 11x + 9.

The correct product of (2x + 9)(x + 1) is 2x² + 11x + 9.

How long is the base of a parallelogram if it has an area of 100 m2 and a height of 5 m? Enter your answer in the box.

Answers

The answer is 20 m given Volume of 100m² and height of 5m.
So, we know the area formula of a parallelogram
Area = Base x Height
We have two values which are given;
Area = 100 m² 
Height = 5 m
Now, we have to plug in the given values to find the missing, which in this case, is the base

100 = Base x 5
To find the value of base, we have to bring 5 to the other side, since it is multiplied, we do the reverse function, which is division.

[tex] \frac{100}{5} = \frac{5(Base)}{5} [/tex]
5 and 5 cancels out in the right hand side

20 = Base

The base is 20 m long

I need help ASAP I will give brainliest if correct

Answers

Part 1)
we know that
the property of cyclic quadrilaterals for which opposite angles are supplementary
then
m∠A°+43°=180°------------> m∠A=180°-43°=137°

the answer is m∠A=137°


Part 2) Quadrilateral ABCD ​ is inscribed in a circle. What is the measure of angle A?

we know that
the property of cyclic quadrilaterals for which opposite angles are supplementary
then:
m∠A+m∠C=180∘
(2x+9)+(3x+1)=180---------------> 5x+10=180
x=(180-10)/5=34

m∠A=2x+9-------------> 2*34+9=77°

the answer is m∠A=77°

*Please answer*

Don't understand. Please help.

Answers

The answer is  Product of Powers Property.
4³ x 4⁷ = 4³⁺⁷ = 4¹¹

It is the third option, Product of Powers

I have attached an image that may help you 

A thief steals an ATM card and must randomly guess the correct three​-digit pin code from a 10​-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first​ try?

Answers

Since repetition is allowed, there are 10(10)(10) choices available; 10 for the first digit, 10 for the second digit, and 10 for the third digit, coming out to a possible 1000 combinations.  The probability of getting the 1 correct on the first try would be 1/1000.

The probability of a correct guess on the first​ try will be [tex]0.001[/tex] .

What is Probability ?

Probability is the ratio of number of favorable outcome to the

i.e. Probability [tex]P(E)=\frac{number\ of\ favorable\ outcome}{Total\ number\ of\ outcomes.}[/tex]

We have,

An ATM Card having three-digit code.

Repetition of digits is allowed.

So,

As Repetition is allowed, and we have [tex]10-[/tex]key keypad, and have to guess [tex]3[/tex] digit code,

Then

Total number of outcomes [tex]=10*10*10=1000[/tex]

And

Number of favorable outcome [tex]=1[/tex]

So,

Probability [tex]P(E)=\frac{number\ of\ favorable\ outcome}{Total\ number\ of\ outcomes.}[/tex]

[tex]P(E)=\frac{1}{1000}[/tex]

[tex]P(E)=0.001[/tex]

So, the Probability of correct guess is [tex]0.001[/tex] .

Hence, we can say that the probability of a correct guess on the first​ try is [tex]0.001[/tex] .

To know more about probability click here

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Analyze the key features of the graph of the quadratic function f(x) = -x2 + 2x + 10. A. Does the parabola open up or down?
B. Is the vertex a minimum or a maximum?
C. Identify the axis of symmetry, vertex and the y-intercept of the parabola.

Answers

see the attached graphic

the parabola open down
the vertex is a maximum
the axis of symmetry is the y axis
the y-intercept of the parabola.is the point (0,10)

SOS

Answer

A: Down

B: Max

C:

AOS: x = 1Vertex: (1, 11)Y-Int: (0, 10)

Step-by-step explanation:

A: If the leading coefficient (a) is positive, the graph opens UP. If it is negative, the graph opens DOWN.

B: Anytime the graph goes UP, there's a minimum. Anytime the graph goes DOWN, there's a maximum

C:

AOS: [tex]x = \frac{-b}{2a}, a=-1, b=2, c=10[/tex]

Vertex: [tex](\frac{-b}{2a}, y)[/tex]

Y-INT:  let x=0 and solve for y. The coordinate of the y-intercept is (0, y).

Hope this helps!!

The staff at Larry's Lawns spends their workday mowing lawns, raking, and bagging leaves. They work an average of nine hours per day. The mowing and raking typically takes six hours and an average of thirty-six bags of leaves are filled. Assuming the bags are filled at a constant rate, what is the average time it takes to fill one bag of leaves?

Answers

Final Answer:

The average time it takes to fill one bag of leaves is approximately 0.17 hours.

Explanation:

To find the average time to fill one bag of leaves, we use the formula

Average Time=Total Time÷Total Bags. In this scenario, the total time spent is the average workday hours, which is 9 hours, and the total number of bags filled is 36.

So,

Average Time=9hours÷36bags=0.25 hours/bag.

​Therefore, the average time it takes to fill one bag of leaves is 0.25 hours or 15 minutes. This means, on average, it takes 15 minutes to fill each bag of leaves.

In summary, the staff at Larry's Lawns spends 9 hours a day on lawn-related tasks, with mowing and raking taking 6 hours. Since they fill an average of 36 bags of leaves in that time, each bag takes approximately 0.25 hours or 15 minutes to fill, assuming a constant rate of filling.

Final answer:

To find the average time it takes to fill one bag of leaves at Larry's Lawns, divide the total time spent filling bags by the number of bags filled. Time per bag = 1/6 hours per bag.

Explanation:

To find the average time it takes to fill one bag of leaves, we need to divide the total amount of time spent filling bags by the number of bags filled. In this case, the staff at Larry's Lawns spend 6 hours mowing and raking and fill 36 bags of leaves. So to find the average time per bag, we divide 6 hours by 36 bags:

Time per bag = Total time / Number of bags = 6 hours / 36 bags

Since we want the average time per bag, we can simplify the fraction:

Time per bag = 1/6 hours per bag.

You have a cd-rw drive that advertises speeds of 32x/12x/48x. what is the read speed of the drive?

Answers

When you have CD-RW drive that advertises speeds of 32x/12x/48x, the first speed that you encounter from left to right is the writing speed, the next one is the rewrite speed, and the last one is the reading speed.
Knowing this we can tell that our CD-RW drive has:
32x of writing speed 
12x of rewriting speed
48x of reading speed

We can conclude that the reading speed of our CD-RW drive is 48x

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. What describes the domain of (gºf)(x)?

Answers

The function g°f(x) can be written as g(f(x)), which means that you take a random x, put it into f(x) which gives you a value (let's call it y). You then put y into g(y) and you find the result.

Therefore the Domain you are looking for in words is every x that can be put into f(x) and that gives you a value y that can be put in g(y).

Mathematically:
Dom (g°f) = {x ∈ Dom(f) | f(x) ∈ Dom(g)}

In your case:
Dom (g°f) = { x ∈ R - {7} | f(x) ∈ R - {-3} } 

Which graph represents a phase shift of pi/2 units right for the graph of y=cos x

Answers

Solution:

we are given that [tex]y=cos x[/tex]

Here we are going to plot two curves one for cosx and the othere also of cosx but after making a phase shift of [tex]\pi/2[/tex]

When we do a phase shift by an angle of theta , in that case actaully we add angle negative theta .

For example when we shift the phase of sinx by [tex]\pi/2[/tex] we get  [tex]sin(x-\pi/2).[/tex]

Hence we are going to plot the curve of

[tex]y=cosx\\ \\ y=cos(x-\pi/2)=sinx\\[/tex]

Hence the correct option is B.

I need to spend exactly £200, how?

Answers

You can just rent dancers for 4 hours 4 * 50 = 200

Tiny's Tattoo Parlor sold 389 tattoos this month. 43 of those tattoos were arm tattoos. Based on this data, what is a reasonable estimate of the probability that the next customer does not get an arm tattoo?

Answers

Answer:

346/389

Step-by-step explanation:

correct on khan academy!

The reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.

What is Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.

Here, Based on the given conditions, formulate

Probability = Favorable outcome / Total outcome

Calculate the sum or difference: (389-43)/389

get the result:  346/389

Thus.the reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.

Learn more about Probability from:

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I need help with this

Answers

They have changed -11/50 to a decimal, -0.22. They did the other steps you. You now multiply the -0.22 decimal by the number in the parentheses.

=-0.22(1.8) is -0.22 times 1.8
= -0.396

The answer is -0.396

Hope this helps! :)

helppppppppppppppppppppppp

Answers

Answer:
log base 2 of 100 is about 1/4 the value of log base 6 of 20

Explanation:
We will get the value of each of them separately and then compare these values.
log base 2 of 100 = 6.6438
log base 6 of 20 = 1.6719

Comparing these values, we will find that:
log base 2 of 100 is about 1/4 the value of log base 6 of 20

Hope this helps :)

a basketball player made 27 free throws in her last 45 tries. what is the experimental probability that she will make her next free throw?

Answers

Hey mark me brainlest but ur answer is 27/45


Bess ur day.

How could you find an equation of a quadratic function with the zeroes of -3 and 1?

Answers

Hello,

The simpliest quadratic function is y=(x+3)(x-1)
or y=x²+2x-3

What are the solutions to the equation?

n^2−8n+16=25

Enter your answers in the boxes.

n1=

n2=

Answers

To factor the equation, first make sure the right hand side is equal to 0. Do this by subtracting 25 from both sides of the equation.
The equation becomes,
n^2-8n-9 = 0

Factoring the equation now gives you (n-9)(n+1) = 0.
In order to find the solutions to this equation, find values of 'n' that make the equation equal to 0. 

In this case, if n is 9 or -1, we get the answer 0.

Proof: (9-9)(n+1) => (0)(n+1) = 0
or (n-9)(-1+1) => (n-9)(0) = 0.

Hope this made sense! If it didn't, please ask questions!

Answer:

help

Step-by-step explanation:

how many fluorine atoms are found in 1.92 grams of AsF3?

Answers

First you need to find out how many moles of AsF3 are in 1.92 grams.  
The molar mass of AsF3 is 131.918 g/mole so  
1.92 g * (1 mole)/(131.918g) = .0146 moles AsF3 


 Each mole of AsF3 has 6.02 x10^23 molecules of AsF3 and each molecule of AsF3 has 3 flourines, so you need to convert from moles to molecules AsF3 to atoms of F 
 0.146 moles AsF3 * (6.02 x 10^23 molecules AsF3)/(1 mole AsF3) * (3 atoms F)/(1 molecule AsF3) = 2.64 x 10^22 atoms F
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