Binomial Theorem

The constant term in the expansions of
[tex](px^{3} + \frac{q}{x ^{3} } )^{8} [/tex]
and
[tex](p {x}^{2} + \frac{q}{ {x}^{2} } ) ^{4} [/tex]
are equal, and p and q are both greater than zero. Express p in terms of q.

Answers

Answer 1

Answer:

[tex]\frac{p^{4} x^{24}+6p^{2}q^{2}x^{12}+q^{4}+4p^{3}qx^{18}+4pq^{3}x^{6}}{x^{12} }[/tex]

Step-by-step explanation:


Related Questions

Who is good at accounting

Please answer

Answers

Answer:

I'm

Step-by-step explanation:

does this question make any sense ?

Find the area of the shaded (gray) region.



Question 13 options:

24 cm squared


60 cm squared


84 cm squared


36 cm squared

Answers

60 cm squared that is the answer hope this helps

Whoever answers gets brainliest I need 1-4 ASAP please!!! Thank you

Answers

a

Step-by-step explanation:

What’s this shape called?

Answers

Answer:

This shape is called triangle

The shape is a concave polygon

Amber has 36 smarties to share among herself and 3 friends. How many smarties will each of them Receive?

Answers

there are 4 people in total
(including herself)
so 36 smarties should be evenly distributed among 4 people

so answer = 36/4 = 9

Evaluate this expression for a = 2 and b= 3.

Answers

Answer:

16

Step-by-step explanation:

replace a with 2 and b with 3 in the expression and solve as follows

(2 + 5)-3 / 3-4 + 2(3+3)/ 2

7 - 3/-1 +12/2

14 + 6 +12/2

32 / 2

16

Given that R
7x + 7y
Find x when y : 2 and R= 8
Give your answer as a fraction in its simplest form.
X =

Answers

Step-by-step explanation:

r = 7x + 7y

8 = 7x + 7 ×2

8 = 7x + 14

7x = 14 - 8

7x = 6

X = 6 / 7

Answer:

it's clear right

Step-by-step explanation:

i hope it's helps

What is the slope of the line below? Be sure to scroll down first to see all
answer options.
(-4, 10)
(4,-2)

A)-3
B -2/3
C) 2/3
D) -3/2
E)2
F ) -2


Answers

Answer:

D) [tex]\frac{-3}{2}[/tex]

The slope of the line m =  [tex]\frac{-3}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given that the points are (-4,10) and (4,-2)

we have to find that the slope of the line

Step(ii):-

Solution:-

                   [tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

                  [tex]m = \frac{-2-10}{4-(-4) }[/tex]

                 [tex]m = \frac{-12}{8} = \frac{-3}{2}[/tex]

Final answer:-

The slope of the line m =  [tex]\frac{-3}{2}[/tex]

HELP PLEASE WILL GIVE BRAINLIEST IF CORRECT


if p = ( 2 , - 1 ) , find the image of p under the following rotation 270 counterclockwise about the origin

Answers

Answer:

( -1 , -2 )

Step-by-step explanation:

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6x -5y = 17 Second equation: 7x + 3y = 11 The first equation should be multiplied by 3 and the second equation by -5. The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 7 and the second equation by -6. The first equation should be multiplied by 7 and the second equation by 6.​

Answers

Answer:

its c

Step-by-step explanation:

i did the test

The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.

What is an expression?

In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.

In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.

The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.

The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.

To know more about an expression follow

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helpppppppppppp! please

Answers

Answer:

x = 36

Step-by-step explanation:

2x + 3x = 180° (consecutive angles are supplementary)

5x = 180

Divide both sides by 5

5x/5 = 180/5

x = 36

choose five ordered pairs whose first and second coordinates are equal. plot these points and connect them. what kind of figure do you get? in what quadrants does this figure lie in?

Answers

Answer:

The figure is a straight line.

The figure lies in the first and the third quadrants.

Step-by-step explanation:

Take five ordered pairs as [tex](1,1),(2,2),(-1,-1),(-2,-2),(3,3)[/tex]

Here, the first and second coordinates are equal.

Now, plot these points and connect them.

From the graph, it can be observed that the figure is a straight line.

Also, the figure lies in the first and the third quadrants.

Find the values of x, y, and z.

Answers

Answer:

x = 20°

y = 160°

z = 160°

Step-by-step explanation:

x = 20°

(Measure of arc is equal to the measure of its corresponding central angle)

z = 180° - 20°

(Linear pair angles)

z = 160°

y = z

(Measure of arc is equal to the measure of its corresponding central angle)

y = 160°

20, 160, 160 hope it helps

Solve for n. 56 = -4n

Answers

Answer:

-14

Step-by-step explanation:

ok

Evaluate the expression. (38 + 10) ÷ 12 + 52

Answers

48/12=4
4+52=56
Answer 56

Answer:

56

Step-by-step explanation:

(Use PEMDAS for the order of operations)

First, solve everything in parentheses. You get this:

48 ÷ 12 + 52

Next, divide. You get this:

4 + 52

Lastly, add for the answer:

56

PLEASE HELP!!!! IM SO CONFUSED
The hypotenuse of a right triangle measures √69 centimeters and its shorter leg measures 2√5 centimeters. What is the measure of the larger acute angle of the triangle? Round your answer to the nearest tenth of a degree.

Answers

Hey! I believe this is correct :) If you have any questions, feel free to ask!

Item 3
Solve for a.

a+(−4)=−13




a=−17

a=−9

a = 9

a = 17

Answers

Answer:

a = -9

Step-by-step explanation:

a+(-4)=-13

add 4 to each side

a-4+4 = -13+4

a = -9

Answer:

a = - 9

Step-by-step explanation:

a  + (-4) = -13

Add  4 to both sides

a + (-4) + 4 = -13 + 4

       a + 0 = -9

        a = -9

When two numbers have different sign, subtract and the result will have the sign of the bigger number

HELP PLZ I HAVE LIKE 20-30 MINUTES PLZ I BEG ILL MARK YOU BRAINLIEST

Answers

Answer:

.........(loading)....................

Step-by-step explanation:

...........................

A baker can bake 5 cakes in an hour. How many cakes can she bake in c minutes?

Answers

rate*time=job
r*60 minutes =5 cakes
60r=5, divide off 60 to find her rate
r=1/12
1/12 * c minutes =job
i’m not sure if there’s meant to be a value for the C but if so just divide the time in minutes by twelve for the amount of cakes she would bake

Answer:

No cakes.

Step-by-step explanation:

5/60= 12. 1hr=60 mins. 60/3=20. 20 mins=1 cake.

Please help me please !

Answers

Answer:

A) (a+2)(a-2)

Step-by-step explanation:

The answer is A.

I need help finding the value of each express?

Answers

Answer:

part B (12)

part C (-6)

part D (6)

Step-by-step explanation:

just divide and multiply

Which polynomial represents the sum below (8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)

Answers

Answer:

-5x^6 - 2x^5 + 4x^2 + 3x + 3

Step-by-step explanation:

Combine like terms from each of the polynomials.

(8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)

(8x^2 - 4x^2) + (5x - 2x) + (3) + (-5x^6) + (-2x^5)

(4x^2) + (3x) + (3) + (-5x^6) + (-2x^5)

Then, order them by degree.

-5x^6 -2x^5 + 4x^2 + 3x + 3

Which two integers does the square root of 99 lie between?

Answers

Answer:  the square root of 99 lies somewhere between 9.9 and 10.

Step-by-step explanation:

Answer:9 and 10

Step-by-step explanation:

it was hw

Why is California at higher risk for earthquakes than North Dakota

( Also i know this isnt math but people answer faster when its in math )

Answers

California is at higher risks for earthquakes, because it near the Pacific Ocean

6. Ashley bought 4 packages of juicek
There are 6 juice boxes in each
She gave 2 juice boxes to each of 3
How many juice boxes does Ashley
pace
have left?
Help me!

Answers

18

Explanation:
4x6=24
2x3=6
24-6=18

Hope this helps!:)

The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?

Answers

Answer:

8inches

Step-by-step explanation:

Length of the third side = perimeter - ( side1 + side2 )

                                       = 17 - (5+4)

                                       = 17 - 9

                                       = 8 inches

Which is the directrix of a parabola with equation x2 = 8y?
O y = 2
O X=-2
O y=-2
O X=2

Answers

Answer:

Y=-2

Step-by-step explanation:

You would use the vertex form to find the directrix

The directrix is a horizontal line that is y = -2.

Option C is the correct answer.

What is a parabola?

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x-h)^2 + k

We have,

The directrix of the parabola with equation x^2 = 8y is a horizontal line, and its distance from the vertex is equal to the value of the parameter p.

To find the value of p, we need to rewrite the equation of the parabola in the standard form:

x² = 8y

Dividing both sides by 8, we get:

x²/8 = y

Comparing this equation to the standard form of a parabola with a horizontal axis of symmetry, which is given by (y-k)² = 4p (x-h), we can see that h = 0, k = 0, and p = 2.

Therefore,

The directrix is a horizontal line that is 2 units below the vertex, which is located at (0,0).

i.e

y = -2.

Learn more about parabola here:

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Is 5 a solution to the equation 3x + 9 = 18? You must explain your answer.

Answers

Answer:

NO

Step-by-step explanation: No because 3 times 5 is 15 plus 9 will be 24 not 18.

Factor this trinomial.
x2 - 9x+ 20
O A. (x – 4)(x - 5)
O B. (x-2)(x+10)
O C. (x - 2)(x - 10)
O D. (x – 4)(x + 5)

Answers

A is correct, (x-4)(x-5)

The factorization of the given trinomial [tex]x^2 - 9x+ 20[/tex] is (x – 4)(x - 5). The correct option is A.

What is trinomial?

A trinomial is a polynomial that has three terms. To factor a trinomial of the form [tex]ax^2 + bx + c[/tex], you need to find two binomials that multiply together to produce the original trinomial.

To factor the trinomial [tex]x^2 - 9x + 20[/tex], we need to find two numbers that multiply to 20 and add up to -9. These two numbers are -4 and -5. Therefore, we can write:

[tex]x^2 - 9x + 20 = (x - 4)(x - 5)[/tex]

Or, To factor [tex]x^2 - 9x + 20[/tex], you need to find two numbers that multiply to 20 and add up to -9. These numbers are -4 and -5 because -4*(-5) = 20 and -4 + (-5) = -9.

You can factor the trinomial as (x - 4)(x - 5).

Thus, the correct option is A.

For more details regarding trinomial, visit:

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Solve for the variable: (x – 3)2 = 0

Answers

Answer:

x=3

Step-by-step explanation:

(x-3)2=0

= 2x-6=0

= 2x=6

= x=3

Answer:

thw answer is x=3

Step-by-step explanation:

hoped I helped:)

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