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
Liono4ka [1.6K]
1 year ago
10

The degree of the expression 4x^5y^m is 10 what is the value of m

Mathematics
1 answer:
Gala2k [10]1 year ago
4 0

Answer: 5

Step-by-step explanation:

The degree is 5+m. Setting this equal to 10, we get m = 5.

You might be interested in
How many 2/3 cups are there in 6 cups
xeze [42]
Answer: 9
Divide 6 by 2/3
6 0
3 years ago
Read 2 more answers
???whats the answers
Aleks04 [339]
11, 3, -3, -12
Hope this helps :)
3 0
3 years ago
Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator
SpyIntel [72]
\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}
\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)

When x=3, you're left with

147=49a_1\implies a_1=\dfrac{147}{49}=3

When x=\sqrt2 or x=-\sqrt2, you're left with

\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}

Adding the two equations together gives -10=2a_5, or a_5=-5. Subtracting them gives 2\sqrt2=2\sqrt2a_4, a_4=1.

Now, you have

5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)
5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)
2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that a_2x^4=2x^4 and a_3(-3)(-2)=6a_3=-6. These alone tell you that you must have a_2=2 and a_3=-1.

So the partial fraction decomposition is

\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}
7 0
3 years ago
Answer the following questions about slope and y-intercept.
Juliette [100K]

Answer:

1. The y-intercept

2. The  slope of the equation represent the relationship between the time duration in which Clarissa eats chocolate is 1/10

Step-by-step explanation:

1. The value of the y coordinate at the point which the graph meets the y-axis is called to the y-intercept. It is the value at which the x-coordinate is equal to zero, that is, the coordinate of the point at the y-intercept = (y, 0)

2. Given that Clarissa eats 1 piece of chocolate every 10 seconds, we have the  slope of the equation represent the relationship between the time duration in which Clarissa eats chocolate is 1/10.

6 0
2 years ago
Select the correct inequality for the graph below
timofeeve [1]
Answer:
I think the answer is (2) y=<=3x-1
3 0
3 years ago
Other questions:
  • What is the point-slope form of the equation for the line with a slope of -2 that passes through (1,4)?
    14·1 answer
  • Jamie has 7/10 of a pound of chicken to cook for dinner if she's going to split the chicken between three people how much chicke
    9·2 answers
  • ASAP<br>-1/8(2h+4)+1/2=-7/4<br>a.7<br>b.25/16<br>c.7/16<br>d.25
    14·1 answer
  • I need help with d please.
    7·1 answer
  • Jordan invested $600 in a savings account. The interest rate is 6% per year. Find the simple interest earned in 3 years. Then fi
    13·1 answer
  •  first correct answer will be marked as branders please help fast
    8·2 answers
  • 1. Complete the square to form a perfect square trinomial. 8x + x² + __
    14·1 answer
  • Type the expression that results from the following series of steps:
    9·1 answer
  • What is<br>1/4 - (-1/6)​
    13·1 answer
  • Carlos bought 24 pounds of flour for $11 How many pounds of flour did he get per dollar?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!