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
lara [203]
3 years ago
14

Expand completely using the Binomial Theorem (3y - x)^4

Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer:

In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.

Step-by-step explanation:

(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3  + (-x)^4

= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4

You might be interested in
Which of the following statements correctly describes the position of the intake and exhaust valves during most of the power sta
Vesna [10]

D. Both the intake valve and the exhust valve are closed.
5 0
3 years ago
Read 2 more answers
a survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. Th
Feliz [49]
I fear that there is an error copying your assignment.  
65% of the students walked.  Are all of the other students on buses?  Are there both public buses AND private buses?
Assuming that you need to know BOTH kinds of buses, try this:

65% of the students walked, so since 100% - 65% = 35% then this means that 35% of the students were on buses.
Since we know that there are 360 more walkers than bus riders, then one equation we know is:  65% of S = 360 + 35% of S  (let S = total # of students)
              .65 S     = 360 + .35 S
           <u> - .35 S   </u>  =     <u>   - .35 S</u>      Subtract .35 S from both sides
             <u> .30  S   </u> = <u> 360</u>                 Divide both sides by .30 (or .3)
                .30           .30
                      S   =  1,200  so we know that this is the total number of students, but that is not what was asked.  
They want to know how many are on buses and specifically how many are on public buses, if I read this correctly.
   Since the walkers = 65% of 1,2000 and we know of means TIMES, then
                                  .65 (1,200) =  780 walkers
 1,200 total students minus 780 walkers = 420 bus riders

Now, if there is not a misprint and we really have to figure out the public bus riders as compared to the private bus riders, then remember the ratio from above in the question:   4 bus: 3 public buses
Now if I read this right, that means that 3/4ths of the bus riders were on public buses
so 3/4 of 420 means 3/4 times 420  = 3 times 105 = 315 public bus riders (which coincidentally leaves 105 private bus riders, but since they are private we don't know much about them.  Ha-Ha..... I made a lame joke.)

So your answer is 315 public bus riders



5 0
3 years ago
Read 2 more answers
If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?
ANEK [815]

Answer:

r=4

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

y-y_1=m(x-x_1)

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

y-(3)=-1(x-(-9))

Simplify:

y-3=-(x+9)

Distribute:

y-3=-x-9

Add 3 to both sides. So, our equation is:

y=-x-6

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

r=-(-10)-6

Evaluate for r. Distribute:

r=10-6

Subtract:

r=4

So, the value of r is 4.

And we're done!

6 0
3 years ago
What type of power function is represented in the table?
Alisiya [41]
It is quadratic your welcome
7 0
3 years ago
Pls help it’s due tomorow, giving brainliest to the first answer with all three correct :)
aev [14]

Answer:

b im positive it B but if im wrong message me

7 0
3 years ago
Read 2 more answers
Other questions:
  • Write as a mixed fraction: 22 / 3
    14·2 answers
  • Write the equation in slope intercept form for the following graph.<br><br> Please help.?
    5·1 answer
  • Which statement is true about the parts of this expression?
    12·2 answers
  • Can someone please help me with these two questions?
    8·1 answer
  • How to find the unknown length of right triangle
    9·1 answer
  • Liza finished studying at half past 3. What time did Liza finish studying?​
    13·2 answers
  • initially the first bank account is $5 less than the second account. after a month the first account had tripled and the second
    15·1 answer
  • HELP PLS!! this is geometry and I’m not sure how to do it!! So I was wondering is someone could help me solve these!!
    14·2 answers
  • Which pairs of angles are alternate interior angles? Select all that apply.
    9·1 answer
  • 10. Evaluate each function for the given value of x, and write the input x
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!