Mathematics High School

expand using pascal triangle (3x+2)^4

Answers

Answer 1

Answer:

The answer is

81x⁴ + 216x³ + 216x² + 94x + 16

Step-by-step explanation:

(3x + 2)⁴

Using the Pascal's triangle

For an exponent of 4 we have

( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³

Using a = 3x and b = 2 we have

( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴

Expand and simplify

That's

➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16

➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16

We have the final answer as

81x⁴ + 216x³ + 216x² + 94x + 16

Hope this helps you

Related Questions

which function would have a range of all real numbers

Answers

Answer:3

3

Step-by-step explanation:

-3(2y+4) is greater that equal to 12-4y
​

Answers

Answer:

y is less than or equal to -12

y<=-12

Step-by-step explanation:

Answer:

y≤12

Step-by-step explanation:

-3(2y+4)≥12-4y

-6y-12≥12-4y

-6y+4y≥12+12

-2y≥24

-2y÷2≤24÷2 (You have to flip the sign if you multiply or divide by a negative number)

y≤12

i need help simplify 1/x^-4 please

Answers

x^4 is the simplified answer

15. PART A: Write an algebraic expression for each verbal expression "the product of 9 and t squared, increased by the sum of the square of t and 2" *

Answers

Answer:

9t²+(t²+2)

Step-by-step explanation:

The product of 9 and t squared is expressed as 9×t² (product means multiplication)

9×t² = 9t²

Also, sum of the square of t and 2" is expressed as t² + 2 (sum means addition)

Finally, if the product of 9 and t squared, increased by the sum of the square of t and 2", the final expression will be the sum of the two expressions gotten. {Increment also means addition} i.e 9t²+(t²+2)

The algebraic expression is 9t²+(t²+2)

How many solutions does the following equation have?
3z + 9 + 142 = 4z + 5
Choose 1 answer:
A.No solutions
B.Exactly one solution
C.Infinitely many solutions

Answers

Answer:

Step-by-step explanation:

3z + 9 + 142 = 4z + 5

3z + 151 = 4z + 5

-z + 151 = 5

-z = -146

z = 146

answer is B

exactly one solution

Ivan makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.

Answers

Answer: p=8h

Hope this helped

Step-by-step explanation:

I need help on numbers 1 & 2 please! it’s due at 11:59 tonight

Answers

Answer:

I'm not completely sure on number 2 and I don't want to give you a wrong answer but 1 is y=6.5x

I'm not completely sure on number 2 and I don't want to give you a wrong answer but 1 is y=6.5x

Sort the objects according to their densities. Which will float? Which will sink?
Remember, water has a density of 1 gram per cubic centimeter.
Clay: 54 g/45 cm
Float in Water (density < 1 g/cm)
Sink in Water (density > 1 g/cm”)
Brick 38 g/20 cm
Oak wood: 56 g/80 cm
Wheat 24 g/30 cm
Butter: 8.7 g/10 cm

Answers

Answer:

Float in Water:

Wheat

Butter

Oak wood

Sink in Water:

Brick

Clay

Step-by-step explanation:

No idea honestly, but make sense also do not mind my user. Brainly was being annoying by ADs and keep putting them in my face.

GETT IT RIGHT AND GET BRAINLiEST

Answers

Answer:

solution is -3

Step-by-step explanation:

z=69

69-72

-3

Answer:

[tex]-3[/tex]

Step-by-step explanation:

[tex]z=69[/tex]

Substitute this into [tex]z-72[/tex]:

[tex]69-72=-3[/tex]

What is the square root of 1/23?

Answers

0.04347826086

Step-by-step explanation:

this is the anwser,just round to whatever you need to

Answer:

0.20851

Step-by-step explanation:

[tex]\sqrt{\frac{1}{23} } \\\\Refine \\=0.20851\dots[/tex]

Rewrite the function y=3x+8

Answers

Answer:

3x-y= -8

Step-by-step explanation:

i believe this answer is correct

What is this -5=1-6x+6

Answers

X=2 would be the correct answer.

. an 8 degree rise in temperature

Answers

That's increased level of warming

Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum.
• Write an expression to represent Max's number.

Answers

Answer:

2(n+8)

sum is 30

Step-by-step explanation:

Answer:

2(n+8)

Step-by-step explanation: taking quiz right now

A hockey game had 2,058 fans Friday night. The baseball game has 1,300 fans that night. How many more fans were at the hockey game?

Answers

Subtract the number at the baseball game from the hockey game:

2058 - 1300 = 758

There was 758 more people at the hockey game.

Answer:

758 more fans were there

Step-by-step explanation:

Difference = Hockey fans - Baseball fans

= 2058 - 1300

= 758

Delilah and a group of friends had excellent service at a restaurant. They would like to give the server a 25 percent gratuity on their $140 bill. Use the diagram to identify the amount of the tip.

A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, Total 140 dollars.

Answers

Answer:

The tip is 35 dollars

Step-by-step explanation:

Divide 140 by 4 to get 25%

140/4 = 35

35+35+35+35 = 140

25% of 140 = 35

The tip is 35 dollars

Answer:

35

Step-by-step explanation:

trust

Determine the solutions of the equation |x – 3| = 11. 1. Rewrite for two solutions: (x – 3) = 11, –(x – 3) = 11 Solve for x in each equation. What are the solutions to the equation? x = –14, –8 x = –14, 8 x = –8, 14 x = 8, 14

Answers

Answer: C. x=-8,14

Step-by-step explanation:

C

Answer:

              x = 14,  –8

Step-by-step explanation:

                 |x – 3| = 11

(x - 3) = 11                         - (x - 3) = 11

x - 3 = 11                           - x + 3 = 11

 x = 11 + 3                          -x  = 11 - 3

 x = 14                                  -x = 8

                                             x = -8

If m∠PTQ = 3y –10 and m∠QTR = y, find the value of y so that ∠PTR is a right angle

Answers

Answer:

y = 25

Step-by-step explanation:

Given that,

m∠PTQ = 3y –10 and m∠QTR = y

We need to find the value of y so that ∠PTR is a right angle.

For a right angle, one of the angle is 90 degrees. The sum of the angle of a triangle is equal to 180 degrees. So,

3y –10 + y + 90 = 180

Taking like terms together

3y+y = 180 -90 +10

4y = 100

y = 25

So, the value of y is 25.

If DE bisects <ABC.find the value of x if m<ABC=7x+29 and m<DBC=99°​

Answers

Answer:

19

Step-by-step explanation:

If DE bisects  <ABC, this means that <ABE = <EBC

Also <DBC+<EBC = 180

99+<EBC = 180

<EBC = 180-99

<EBC = 81

Also <ABC =<ABE+<EBC

<ABC =<EBC+<EBC

7x+29 = 81+81

7x = 162-29

7x = 133

x = 133/7

x = 19°

Hence the value of x is 19°

Joe reads 30 chapters of a book in 6 hours What is his rate in chapters per hour

Answers

Answer:5

Step-by-step explanation:

30 chapters in 6 hours. 30/6 =5

5 chapters per hour

Divide 30 by 6 and it gives you 5
If you want to check ur answer, plug in ur answer which in this case it’s 5 and multiply it by 6, it gives you 30 chapters in 6 hours.

2,6,10,.... find u16

Answers

2000 to get 50 on u to be Nansen Lakshadweep. Hand

18/38 as a percentage

Answers

Answer47.3%

Step-by-step explanation:

Answer:

47.3684211%

Step-by-step explanation:

caulculater

Solve the equation.

y +8=-11

y=

Answers

Steps to solve:

y + 8 = -11

~Subtract 8 to both sides

y = -19

Best of Luck!

Simplify the expression.
4 + 5(7v. +10)

Answers

Answer:

54+35v

Step-by-step explanation:

I hope this helps :)

Answer:

=35v+54

Step-by-step explanation:

What is the length of the paintbrush in centimeters?

Answers

Answer:

b is the write answer

Step-by-step explanation:

10*162

Answer:

C. 16.2cm.

162mm = 16.2cm

The sum
as three consicutive
multplies of 11 is
363
there eltiples.​

Answers

Answer:

Three consecutive multiples are 110,121 and 132 which has the sum of 363. 33C = 363; C = 33, By substituting C = 33 in numbers 11C, 11(C – 1) and 11(C + 1) we get values 110, 121, 132.

Help me answer
Expand 3p(p+5)

Answers

Answer:

3p² + 15p

Step-by-step explanation:

We use distributive property to distribute 3p to each of the terms:

3p · p = 3p²

3p · 5 = 15p

3p² + 15p

Hey there!☺

[tex]Answer:\boxed{3p^2+15p}[/tex]

[tex]Explanation:[/tex]

[tex]3p(p+5)[/tex]

Let's expand.

[tex]3p(p+5)\\\text{After Expanding: }3p^2+15p[/tex]

So the answer is [tex]3p^2+15p[/tex].

Hope this helps!

The three steps of the problem solving process are

Answers

Understand, implement, strategize

y = -1/3x + 2
y = 3x - 5

Answers

I think it’s 2 not for sure

The area of a rectangle is 136 square centimeters. The
rectangle is 8 centimeters wide

Answers

Answer:

Length = 7 cm

Step-by-step explanation:

Step 1:

136 ÷ 8

Answer:

17

Hope This Helps :)

Answer:

17

Step-by-step explanation:

Because you have to divide 136 with the 8 and then you have you answer which is 17

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