Mathematics Middle School

Given the expression 5a2b – 13ab + 7a3 – 4b, do the following as instructed below:
1. Write the polynomial in descending order.
2. Classify the polynomial by the number of terms.
3. State the degree of the polynomial.
Thank you !!

Answers

Answer 1
Ok, here is the answer:

A. The descending order of this expression is 7a^3+5a^2b-13ab-4b.

B. This is a polynomial.

C. This is a 3rd degree polynomial.
Answer 2
ANSWER TO QUESTION 1

The given expression is

[tex]5 {a}^{2} b - 13ab + 7 {a}^{3} - 4b[/tex]

To write the polynomial in descending order means we should write in decreasing powers of
[tex]a[/tex]


So in descending order we have,


[tex]7 {a}^{3} + 5 {a}^{2}b - 13ab - 4b[/tex]


ANSWER TO QUESTION 2

When a polynomial is in simplified form and it has one term, we call it a monomial.



If a simplified polynomial has two terms,it is called a binomial.




If a simplified polynomial has three terms, it is called a trinomial.



If a simplified polynomial gas four or more terms, we just call it a polynomial.



The given polynomial

[tex]5 {a}^{2} b - 13ab + 7 {a}^{3} - 4b [/tex]

has four terms and it us in simplified form, so it is classified as polynomial.



ANSWER TO QUESTION 3.

The degree of the polynomial is the highest degree the polynomial has.


We calculate the degree by adding the exponents of the two variables of each term.


For instance the first term is
[tex]7 {a}^{3} = 7 {a}^{3} {b}^{0} [/tex]
[tex]degree = 3 + 0 = 3[/tex]


Since the highest degree is 3, we say the degree of the polynomial 3.

Related Questions

alicia bough 3.8 pounds of cashews for 15.74 about how much was cost per pound

Answers

It would be this 4.1421 since you divide 15.74 by 3.8 but since you round your answer would be $4.14 each

sum of 6 divided by a number and that number divided by 6

Answers

The sum is :
6 / x + x / 6 =
= ( 6 * 6 ) + ( x * x ) / 6 x = 
= ( 36 + x² ) / ( 6 x )
Answer: ( 36 + x² ) ( 6 x ) 

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1) A dealer sold 112 cars during the month of May and 96 during the month of June. What was the percentage of the decrease?
2) At an evening performance, 85% of the seats in a movie house was occupied. If 34 people attended this performance, what was the seating capacity of the movie house?
3) A merchant sold articles of clothing at 140% of what he paid for them. What did he pay for an article that he sold for $84?
4) A family spent 486 a week for food. This was 20% of its weekly income. What was its weekly income?
5) An agent sold 250 boxes of apples at $6.50 each. He charged a commission of 5%. What was his commission?
6) At the rate of $0.80 per $100, how much does it cost to insure a car against fire and theft for $1,650?

Answers

1- ((112-96)/112)*100% = 14.286% 
sorry
1- not sure
2- 62 people?
3- I think it would be $33.60, or about $34
4- around $2430
5- not sure
6- not sure

I'm sorry if I wasn't very helpful, but I hope the ones I did understand are right!

A baker uses 5.5 lb of flour daily how many ounces of flour will he use in two weeks

Answers

1 pound = 16 ounces

16 * 5.5 = 88 ounces per day

88*7 = 616 ounces per week

616 * 2 = 1232 ounces in 2 weeks

The Baker uses 1,232 ounces in 2 weeks. 
1 pound= 16 ounces.
16 ounces x 5.5 lb= 88
2 weeks=14 days
Now multiply...
88 x 14= 1,232 ounces



The sum of the components of anything equals the whole thing. Which property/postulate does this statement represent?

Answers

The property that is being described in the statement "The sum of the components of anything equals the whole thing" would be the Partition Postulate. It is simply the whole is equal to the sum of its parts. For instance we have a line where it contains points W, X, Y and Z, then WX + XY + YZ = WZ.

What number makes the the number sentence true 420,008 - 9,569 =n

Answers

n=410,439
You can just type your problem into a calculator-- you're just finding out what 420,008-9,569 is. :)

Answer: its  410439

(all u need to do is subtract!)

kathi starts with a number. she adds 3 to her number, then doubles the result. finally, she subtracts 7. if she ended with 9 what number did ahe start with

Answers

An equation is:
2(x+3)-7=9
Distribute the 2
2(x)+2(3) -7=9
2x+6-7=9
Combine like terms
2x-1=9
Add one to both sides
2x-1+1=9+1
2x=10
Divide both sides by two to isolate the variable.
2x/2=10/2
x=m

I say

5+3=8
8+8=16
16-7=9

A rope stretches directly depending on the load it must carry. If a load of 8 pounds stretches the rope 9.6 inches, the constant of proportionality is equal to:

8(9.6)
8/9.6
9.6/8

Answers

"Our proportionality constant would be how much the rope stretches versus the weight being hung.  This is set up by simply dividing the two numbers.  

9.6 inches / 8 pounds  

or for every pound hung, it will stretch 1.2 inches  so we know if it stretches 6 inches, we can set up an equation  6 inches = 1.2 [inches/pound] * pounds solve for weight  to get 5 pounds being hung from the rope."

Answer: 9.6 inches / 8 pounds  

Step-by-step explanation: I got it right

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve the following quadratic equation. 3(x + 5)2 = 60

Answers

The quadratic equation is 3(x + 5)^2 = 60

You solve it with these steps:

1) divide by 3:

(x + 5) ^2 = 60 /3

(x + 5)^2 = 20

2) extract square root

(x + 5) = +/- √20

3) subtract 5

x = - 5 +/- √20

Solutions: x = - 5 - √20 and x = - 5 + √20


Which sets of values can be the measures of the exterior angles of a triangle? Click all that apply.

120°, 110°, 130°

35°, 103°, 122°

123°, 87°, 220°

120°, 120°, 120°

123°, 157°, 90°

Answers

The sum of the interior angles of any polygon is (n-2)*180° (n being the number of sides) so for a triangle the sum of the interior angles is 180°. The sum of the interior and exterior angles is also 180°. To work out which sets are possible you subtract each number from 180° and then add all three answers together. If you get 180° then that set of numbers is possible. Using this method, you will find that the following sets can be the measures of the exterior angles of a triangle:

120°, 110°, 130°

120°, 120°, 120°

The angles are within the range of angles are 120°, 110°, 130°  and  120°, 120°, 120°

The exterior angle of a triangle is the sum of its exterior angles.

The exterior angle of a triangle is obtuse in nature and obtuse angles are angles that are greater than 90 but less than 180 degrees.]

Hence the set of angles required must fall within the range [tex]90^0<\theta<180^0[/tex]

From the given options, the angles are within the range of angles are 120°, 110°, 130°  and  120°, 120°, 120°

Learn more on exterior angles here: https://brainly.com/question/24231058

Describe how to model -3x + 7=28 with algebra tiles

Answers

Here you go! Sorry if it is sloppy.

I need help with this question please

Answers

I think Sheridan is correct.

find the mean absolute deviation

Answers

First find the mean (sum divided by number of values)
4+5+8+10+15=42
42/5=8.4
Then find the difference between each of the numbers and the mean.
4.4, 3.4, 0.4, 1.6, 6.6
Then find the mean of those values.
4.4+3.4+0.4+1.6+6.6=16.4
16.4/5=3.28
Final answer: 3.28

Answer:

(MAD) Mean Absolute Deviation: 3.28

Step-by-step explanation:

Mean: 4 + 5 + 8 + 10 + 15 = 42/5 = 8.4

8.4 - 4 = 4.4

8.4 - 5 = 3.4

8.4 - 8 = 0.4

8.4 - 10 = 1.6

8.4 - 15 = 6.6

Mean Absolute Deviation: 4.4 + 3.4 + 0.4 + 1.6 + 6.6 = 16.4/5 = 3.28

Find an explicit formula for the arithmetic sequence -11,-3,5,13,...

Answers

tn=-11+8(n-1). n represents which number of the sequence you will find, so if you plugged in a 3 you would find the third number in the sequence. 
In this sequence, a1 = -11, k = 8

So an = a1 + (n-1)k = -11 + (n-1)*8 = 8n - 19

Which expression is equivalent to 17x − 8x + 2 and why?

2 − 9x, because (17x − 8x) + 2 = −9x + 2 = 2 − 9x

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

11x, because 17x − 8x + 2 = 9x + 2 = 11x
7x, because 17x − 8x + 2 = 17x − 10x = 7x

Answers

17x − 8x + 2 = 9x + 2 ...............combine like terms

answer

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x ............commutative property

Answer:

2 + 9x, beacuse (17x - 8x) + 2 = 9x+2

Step-by-step explanation:

Combine like Terms: 17x - 8x + 2=

                                        9x+2

Which expression is equivalent to 2−35?

Answers

i believ it would be
-33
That would be -33....

A cabinet maker buys 3.5 liters of oak varnish. The varnish cost $4.95 per liter. What is the total cost of 3.5 L of varnish ?

Answers

17 dollars and 32 cents
This requires multiplication: 3.5 x 4.95 = 17.325

But, because we are dealing with units of money, its would be rounded to $17.33. :)

What is the probability of receiving a 6 or a 9 from a deck of 52 cards and an ace or a king?

Answers

Final answer:

The probability of selecting a heart or a face card from a standard deck of cards is approximately 42.31%, which is significantly higher than the probability of selecting just a heart suit face card, which is about 5.77%.

Explanation:

To calculate the probability of selecting a heart or a face card, we first need to count the number of favorable outcomes. There are 13 hearts in a deck of cards and 12 face cards (Jacks, Queens, and Kings, with 3 in each suit). However, there are overlap cards that are both hearts and face cards (Jack, Queen, King of Hearts), which amount to 3 cards. We must subtract these to avoid double counting. So, the formula to find the total number of favorable outcomes is:

Favorable outcomes = Total hearts + Total face cards - Overlap of hearts and face cards

Favorable outcomes = 13 (hearts) + 12 (face cards) - 3 (heart face cards) = 22

Next, we calculate the probability:

P(A) = Favorable outcomes / Total number of cards

P(A) = 22 / 52 ≈ 0.4231 or 42.31%

This is the probability of selecting a heart or a face card from a standard deck. Comparing this to the probability of selecting a heart suit face card (which is 3/52 or about 5.77%), it is clear that selecting a heart or a face card is much more likely.

Therefore, the probability of selecting either a heart or a face card is less than the probability of drawing only heart-suit face cards, since the number of favorable outcomes for the latter is smaller.

Answer this question, me and my partner have no idea what to do I'm very confused

Answers

The best answer is B.
With a box and whisker plot, 25% of the data goes from the leftmost point to the beginning of the box. The next 25% goes from the beginning of the box to the median, which is represented by the line in the box. The third 25% goes from the median to the end of the box, and the last 25% goes from the end of the box to the end of the line.
The middle 50% is the data within the box.
The median would be between 13 and 31. I know this because the line in the middle, surrounded by the same number of lines on each side is the median. The 1st line is 0. The second line is 25%. The 3rd line is 75%. Finally, the fourth line is 100%. I hope this helps.

help What is the length of the unknown leg in the right triangle?

Answers

73 - 64 = 9
a = square root 9
a = 3

answer
3 ft
Pythagorean Theorem - a^2 + b^2 = c^2

C being the hypotenuse.

a = a

b = 8 ft

c = √73 ft

a^2 + 8^2 = √73^2

a^2 + 64 = 73

a^2 = 9

a = 3

I REALY NEED HELP!
A number line contains points Q, R, S, and T. Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.

25%
42.2%
50%
72.2%

Answers

This probability is going to be the length of segment ST divided by the length of QT so

P(ST)=(42-29)/(42-24)

P(ST)=13/18

As a percentage:

(p/100)=(13/18)

p=1300/18%

p=650/9%

p≈72.2%  (to nearest tenth of a percent)

Answer:

The correct option is 4.

Step-by-step explanation:

It is given that Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42.

Total numbers lie on line QT is

[tex]42-24=18[/tex]

The numbers lie on line ST is

[tex]42-29=13[/tex]

The probability that a point chosen at random on QT is on ST is

[tex]P=\frac{\text{The numbers lie on line ST}}{\text{Total numbers lie on line QT}}\times 100[/tex]

[tex]P=\frac{13}{18}}\times 100[/tex]

[tex]P=72.222\approx 72.2\%[/tex]

The probability that a point chosen at random on QT is on ST is 72.2%. Therefore option 4 is correct.

What are the next letters? BE GJ LO QT

Answers

VY

The spaces represent one letter and between each pair 2 letters are skipped.

Halle has 36 feathers, 48 acorns, and 60 agates. She wants to put all of these items into bowls with the same number of feathers, acorns, and agates in each bowl and none left out. What is the maximum number of bowls she can put the items into?

Answers

48-36 =12

60-48=12


 36/12 =3

48/12=4

60/12=5

 the maximum number of bowls is 12

Answer:

12

Step-by-step explanation:

Using Pythagorean inequalities, determine which set of the given three sides produces an obtuse triangle. A. 4, 5, 6 B. 5, 13, 19 C. 12, 14, 25 D. 21, 72, 75

Answers

Answer:

Obtuse triangle sets

B. 5, 13, 19

C. 12, 14, 25

Step-by-step explanation:

The Pythagorean inequality for the sides of the triangle to be an obtuse:

[tex]a^2 + b^2 < c^2[/tex], where a, b and c are the sides of the triangle.

The other Pythagorean inequalities are:

[tex]a^2 + b^2 > c^2[/tex], for Acute triangle

[tex]a^2 + b^2 = c^2[/tex], for Right triangle

Now let's check which set of the given sets satisfy the above inequality.

Option A

4, 5, 6

Here a = 4, b = 5 and c = 6

[tex]4^2 + 5^2 < 6^2\\16 + 25 < 36\\41 < 36\\[/tex]

Which is not true.

Here [tex]a^2 + b^2 > c^2[/tex], So this is Acute triangle

Option B

5, 13, 19

Here a = 5, b = 13 and c = 19

[tex]5^2 + 13^2 < 19^2\\25 + 169 < 361\\194 < 361\\[/tex]

Which is true. This is Obtuse triangle

Option C

Here a = 12, b = 14 and c = 25

[tex]12^2 + 14^2 < 25^2\\144 + 196 < 625\\340 < 625\\[/tex]

Which is true. This is obtuse triangle.

Option D

Here a = 21, b = 72 and c = 75

[tex]21^2 + 72^2 < 75^2\\441 + 5184 < 5625\\5625 < 5625\\[/tex]

Which is not true for obtuse.

Here [tex]a^2 + b^2 = c^2[/tex], for Right triangle

So this is Right triangle.

Answer:

c

Step-by-step explanation:

just did it

The perimeter of the following rectangle is 40 inches. What is the length of w?

Bottom: 14 in.
Side: Unknown


2.9 in.
6 in.
12 in.
26 in.

Answers

6 inches is the answer
P= 2( L+W)

Answer: 6 inches

Step-by-step explanation:

Given: The perimeter of the rectangle = 40 inches

Let the unknown side be w.

And the bottom side l=14 in.

We know that the perimeter of rectangle is given by :-

[tex]\text{Perimeter}=2(l+w)\\\Rightarrow40=2(14+w)\\\Rightarrow\frac{40}{2}=14+w\\\\Rightarrow20=14+w\\\Rightarrow\ w=20-14)\\\Rightarrow w=6\ in.[/tex]

Hence, the  the length of w = 6 inches.

Stumped on how to solve this one! The numbers just aren't making sense to me

Answers

30 = 3/5

 so 1/5 = 10 miles

there are 20/5 in 4 inches

 10*20 = 200

 they are 200 miles apart

Robert buys 3 pounds of bananas at $0.50 per pound and 3 pounds of apples at $1.00 per pound. Which of the following expressions represents the total cost of the fruit he bought (in dollars

Answers

Well I mean we know he spent a total of $4.50, but since we don't have any of the answer choices this is almost impossible. 

Answer:

The answer is $3(0.50+1.00)

Step-by-step explanation:

Robert bought 3 pounds of bananas at $0.50 per pound which can be expressed as:

[tex]3*0.50[/tex]

And 3 pounds of apples at $1.00 per pound which can be expressed as:

[tex]3*1.00[/tex]

As Robert bought the apples and bananas, you can add both expressions:

[tex]3*0.50 + 3*1.00[/tex]

This expression can be factorized as:

[tex]3(0.50+1.00)[/tex]

or

[tex]3(1.50)[/tex]

Both expressions will give you the same result, which is $4.50.

Rolf spent 15 hours last week practicing his saxophone if 3/10 of the time was spent practicing warm up routines, how much time did he spend practicing warm up routines ?

Answers

3/10 of the time = time spent on practicing warm up routines...
Time spent = 15 hours
remember that 'of' is usually multiply (x)
so ---- 3/10 x 15 =4.5 hrs

Hope this helps

A cable is 7.1m long. How long is the cable in decimeters?

Answers

7.1meters x 10 = decimeters
the answer is 71. im pretty sure 
hope this helps
have a good day

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

Answers

4 rupee must sell agin 20%
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