1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xz_007 [3.2K]
3 years ago
8

Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Select five

options. ___ + 8r2s4 – 3r3s3
5s7/6
s5
3r4s5
–r4s6
–6rs5
4r/6s
Mathematics
2 answers:
egoroff_w [7]3 years ago
4 0

Answer:

If the polynomial is written in standard form

the degree of Variables that is if it contains only a single variable or more than a variable , the sum of the degree of variables in a term is from Highest to lowest.

Sum of degrees of Variables second term which is 8r^2s^4\\\\=2+4\\\\=6

Sum of degrees of Variables in third term which is -3r^3s^3\\\\=3+3\\\\=6

Degree of first term should be greater than or equal to 6.So, the following expressions can be used as a first term

1.\rightarrow \frac{5s^7}{6}\\\\2.\rightarrow 3r^4s^5\\\\3.\rightarrow -r^4s^6\\\\4.\rightarrow -6rs^5

Alina [70]3 years ago
3 0

Answer:

3r⁴s⁵

- r⁴s⁶

- 6rs⁵

Step-by-step explanation:

1) The expression given is:

+ 8r²s⁴ – 3r³s³

2) The choices given are:

s⁵

3r⁴s⁵

- r⁴s⁶

- 6rs⁵

1) A polynomial written in standard form has the terms ordered in decreasing order.

For example, 4x⁵ + 8x⁴ + 3x² + 27

2) The given polynomial has degree 6: + 8r²s⁴ – 3r³s³, and it can be ordered respect any of the two variables either r or s.

3)  Adding a new term as first term needs to have degree equal or greater than 6.

So, the candidates from the list are: 3r⁴s⁵, - r⁴s⁶,- 6rs⁵

4) If you use 3r⁴s⁵, the polynomial in standard form would be:

3r⁴s⁵ – 3r³s³ + 8r²s⁴ (as you see the degree of r is decreasing from left to right).

5) If you use - r⁴s⁶, the polynomial in standard form would be:

- r⁴s⁶ – 3r³s³ + 8r²s⁴ (as you see, the degree of r decreases from left to right)

6) If you use - 6rs⁵, the polynomial in standard form would be

- 6 rs⁵– 3r³s³ + 8r²s⁴ (as you see the degree of s is decreasing from left to right).

7) You cannot use s⁵ as first term because its degree is less than 6.

You might be interested in
Lowest common multiple of of 3,5,6
pogonyaev

Answer:

30

hope it helps........

4 0
2 years ago
Read 2 more answers
What is the slope of the line through (-5, -3) and (-5, -7)?
Paul [167]

Answer:

The answer is undefined.

Step-by-step explanation:

Slope is found using this equation: y-y1/x-x1. Fill in the coordinates to this equation. It should now look like this. -7--3/-5--5. When subtracting from two negatives, it changes into a positive. For example, -7--3 becomes -7+3, which equals -4. The same thing applies for the second part. -5--5 becomes -5+5, which equals 0. So, your slope is -4/0. However, when a 0 is in the denominator, it becomes undefined. So, the answer is undefined.

5 0
3 years ago
Find the slope of the line using the points (0,4) and (-3,6)
Anna007 [38]

slope = - \frac{2}{3}

calculate the slope m using the gradient formula

m= (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (- 3, 6)

m = \frac{6-4}{-3-0} = \frac{2}{-3} = - \frac{2}{3}


4 0
3 years ago
Read 2 more answers
Ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 stakes to mark off a rectangular area. Which
yuradex [85]

Answer:

C

Step-by-step explanation:

Let's go through each set of dimensions and test them. Keep in mind that two times the sum of the length and width of a rectangle yields the perimeter.

A) 2(14+10)=2(24)=48

B) 2(70+70)=2(140)=280

C) 2(60+10)=2(70)=140

Therefore, the correct answer is C. Hope this helps!

8 0
3 years ago
Matematyka. Zad.7 str.24 ćw 5kl Proszę szybko o odp. Na zadanie 7 ze strony 27 w ćwiczeniach dla 5 klasy
marishachu [46]

Answer:

Iikij

Step-by-step explanation:


4 0
3 years ago
Other questions:
  • if maruanne father calls and says he needs 13 pounds of potting soil, how many additional bags should she buy?
    9·1 answer
  • What is the value of i20+1
    7·1 answer
  • Solve the equation.<br><br> –3x + 1 + 10x = x + 4
    6·1 answer
  • What are some ways in which companies can attract and retain employees?
    6·1 answer
  • Use the propotion to convert millimeters to centimeters.
    14·2 answers
  • Help me plzzzz :( ...
    12·2 answers
  • Kinda ez please help aced+
    13·1 answer
  • I need help<br> With this I will mark you if your awnser is right
    15·1 answer
  • Consider the graph shown.
    7·1 answer
  • Solve th simultaneous equations<br> 3x + y = 17<br> 2x +y = 12
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!