use the binomial theorem and multiplication to expand (1- x^2)(2-3x)^3​

Answers

Answer 1

Answer:

(1-x2)× (2-3x)2

(1-x2) ×(8-36x+54x2-27x3)

8-36x+54x2-27x3-8x2+36x3-54x4+27x5

8-36x+46x2+9x3-54x4+27x5

Answer: 27x5-54x4+9x3+46x2-36x+8  

Step-by-step explanation:

step 1- expand the expression

step 2- remove the parentheses

step 3- collect like terms

step 4- reorder the terms


Related Questions

A headache medicine has a flush rate of 25% after 24hrs since a patient took it. James was prescribed a 35mg dose of the medicine. How much mg of the medicine will be in James' bloodstream at the start of day 6?

a
61.25mg
b
80.94mg
c
115.08mg
d
132.12mg

Answers

James will need 115.08mg of medicine at the start of day 6.

Plz plz plz helpppppplllpl​

Answers

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

Write the word sentence as an inequality. Then solve the inequality.

The product of −2 and a number x is greater than 30.

Answers

Step-by-step explanation:

divide by 2 then reverse

What fraction of people vacationed in another state?

Answers

Answer:

3/10 of people vacationed in another state.

Step-by-step explanation:

Because there are 60 people in total, the denominator has to be 60. The numerator then is going to be the amount of people that vacationed in another state. Simplify that fraction by 6, and you will get 3/10 as your answer.

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Since we want a fraction, we find the total number of people who vaccinated, then we find how many people vacationed in another state.

18+10+5+15+12=60, and 18 people vacationed in another state, we get

[tex]\frac{18}{60}[/tex], and we can divide top and bottom by 2, we simplify to [tex]\frac{3}{10}[/tex]

will give brainliest! number 4 it’s the pythagorean theorem

Answers

Ok so Here is the answer

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

192

Step-by-step explanation:

8²+x²=16²

x=y

[tex]x = \sqrt{192} [/tex]

1. Which is an exponential equation?
(1) y = x2
(3) y = 2x-3
(2) y =5^x
(4) y = 1/x

Answers

The answer is y=5^x. Good luck bud!

A man is 32 years older than his son. Ten years ago he was three times as old as his son. find the present age of each?​

Answers

The answer to this equation is 17

Will mark brainliest hurryyy!!!
Given A=[-3 -4 1 0] B= [-7 -9 4 -1] and c=[-42 -20 5 4] What is the value of X in the matrix equation AX + B = C?

Answers

I had this question asked before lol

Answer:

X=[1 5 8 -1]

Step-by-step explanation:

B or Option 2

Find the value of x in the triangle shown below.
2
7
x

Answers

Answer:

[tex] {2}^{2} + {x}^{2} = {7}^{2} \\ {x}^{2} = 49 - 4 \\ x = \sqrt{45} \\ x = 6.708[/tex]

Answer:

By using Pythagoras theorem we get

H²=p²+b²

7²=2²+x²

X²=7²-2²

X=√(49-4)=√45=3√5

Step-by-step explanation:

PLEASE HELP

Once a weck you babysit your neighbor's
toddler after school, usually going to a
local playground. You notice that each
swing on the swing set takes nearly the
same amount of time, about 3.7 seconds
(1). Use the pendulum formula below to
find out how long (ft) the swing is. Round
your answer to the nearest tenths place.

Answers

T/2π = √L/32

3.7 / 2 π = 0.588873289

0.588873289² =  L / 32

0.34677175 = L/32

0.34677175 x 32 = L

L = 11.096696 ft

11.0971

Guthrie made the input-output table shown below.
Input (x)
1
2
3
Output (v)
4
7
10
13
4
Which of the following equations is true for all values in Guthrie's input-output table?
AI +3 = y
B :+7=y
C 3x+1=y
D) 4.1 - 1=y

Answers

9514 1404 393

Answer:

  C  3x +1 = y

Step-by-step explanation:

x-values increase by 1 from row to row.

y-values increase by 3 from row to row.

The slope of the linear function is the ratio of the y-increase to the x-increase:

  m = ∆y/∆x = 3/1 = 3

The only offered choice with an x-coefficient of 3 is ...

  C  3x +1 = y

__

If you check this against the table entries, you find it fits.

  3(1) +1 = 4

  3(2) +1 = 7

and so on.

What is the volume of a sphere with a radius of 6.9 ft

Answers

V=4/3 π•r^3
r=6.9 ft
V=4/3 π• (6.9)^3
V=4/3 π • 328.509 ft^3
V= π•438.012 ft^3
V= 1,375.35768 ft^3
V~ 1,375 ft^3

Write an equation in point-slope form of the line that passes through (-1,-4) with slope -2.

Answers

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

I need help fast!!!!!!

Answers

Answer:

28 Pi

Step-by-step explanation:

circumference = 24(2)(π) = 48π

arc ABC = 360° - 150° = 210°

210/360(48π) = 28 Pi

Help me with this!!!!

Answers

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

If XY is 4 m and WZ is 9 m, the exact volume of the cone is ___π square meters.

Answers

Answer:

[tex] 48\pi \: {m}^{3} [/tex]

Step-by-step explanation:

Radius of the cone (r) = XY = 4 m

Height of the cone (h) = WZ = 9 m

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{ \cancel3} \pi {(4)}^{2}( \cancel9) \: \: \red{ \bold 3 }\\ \\= \pi \times 16 \times 3 \\ \\\purple {\bold {V_{cone} = 48\pi \: {m}^{3}}} [/tex]

Someone help, I don't understand what trig ratio to use, or how to get the answer to w or x

Answers

Answer:

Uhm I think you need to like times the 10 to the 56? erm yeaaaaaaa SOrry if you get it wrong

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

56*10= 560

34+56= 90

90*10= 900

X is about 2 times the size of W so it would be

1:2 (W:X)

I think i am right, i may be wrong i haven't exactly learned this yet, i am just going off by what i know. sorry if i am wrong

Please help me complete it PLEASE ASAP!!!!!!!!!

Answers

1= 12.5
2= 25
3= 37.5
4=50
5= 62.5

20 large plastic bottles can be recycled to 1 fleece jacket.
How many fleece jackets can be made with 280 large plastic bottles?

Answers

Answer:

14 jackets

Step-by-step explanation:

20 plastic bottles=1 fleece jacket

280 plastic bottles=?

(280×1)÷20

=14

It would be 14 fleece jackets would be made

Find an overestimate for 33 x 67 by adjusting each factor up to the next ten.

Answers

Answer:

210 is my estimate

Step-by-step explanation:

Increase 33 to 40
Increase 67 to 70
Then 40x70 = 280

Area of a Parallelogram

Answers

Answer:

P=28

Step-by-step explanation:

a=bh

24= 12x

24 divided by 12=2

12 +2+12+2= 28

its 80 feet if i am correct

Giving brainliest!!!Please help.. :(

Select the statement that describes this expression: 5 x (3 + 4) − 4.

A) 5 times the sum of 3 and 4, then subtract 4
B) 5 times 3 plus 4 minus 4
C) 5 more than the sum of 3 and 4, and then subtract 4
D) 5 times 3 plus the difference of 3 and 4

Answers

A is the answer 5 times the sum of 3 and 4 then subtract 4

Answer:

A

Step-by-step explanation:

A the anser is A deal with it...

help me pleaseeeeeeeeeeeeeeeee

Answers

A + 15= 35
A +15-15=35-15
A=20

2b=20
2b/2=20/2
B=10

Britney is 10 years old

What is the solution to the following system of linear equations?
Y=-31-9
2x + 3y = -13

A. (-3,-2)
B. (-3,0)
C. (2,3)
D. (-2,-3)

Answers

Answer:

x=107/2, y=-40. (107/2, -40).

Step-by-step explanation:

y=-31-9=-40

2x+3(-40)=-13

2x-120=-13

2x=-13+120

2x=107

x=107/2

How many roots does y=3x^2+8 have?

Answers

Answer:

This quadratic has two unequal, imaginary roots.

Step-by-step explanation:

y = 3x^2 + 8 is a quadratic function, and (like all quadratics) it has two roots.  In this case they happen to be different (unequal), as well as imaginary.

Setting y = 3x^2 + 8 = 0, we get:

3x^2 = -8, or

x^2 = -8/3

Taking the square root of both sides, we get

x = ±i√(8/3) (2 imaginary roots)

ill mark brainlist plss help

Answers

Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

CAN SOMEONE PLS ANSWER THIS COMPLETE AND CORRECT.

Answers

Step-by-step explanation:

9. 9x+1 + 9x+1 +88 =180

18x = 90

x = 5

What is the value of x?
0 12
O 10
06
08

Answers

Answer:

8

total degree inside pentagon is (n - 2) x 180 = 540

180-62 = 118

180-66 = 114

180-77 = 103

180-59 = 121

118+114+103+121 = 456

540 - 456 = 84

84 + 12x = 180

12x = 180-84

x = 96/12

x = 8

The value of x in the given pentagon is 8.

Option D is the correct answer.

What is a Pentagon?

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

For a pentagon, n = 5, so we have:

total degree = (5 - 2) × 180 degrees

total degree = 3 × 180 degrees

total degree = 540 degrees

Now,

Each angle makes a straight angle.

So,

77 + a = 180

a = 180 - 77 = 103

59 + b = 180

b = 180 - 59 = 121

c + 66 = 180

c = 180 - 66 = 114

d + 62 = 180

d = 180 - 62 = 118

Now,

a + b + c + d + e = 540

103 + 121 + 114 + 118 + e = 540

e = 540 - 456

e = 84

Now,

12x + 84 = 180

So,

12x = 180 - 84

12x = 96

x = 8

Thus,

The value of x is 8.

Learn more about the Pentagon here:

https://brainly.com/question/30182047

#SPJ7

HELP NEED THIS FOR A TEST!!! 20 POINTS!!

Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when remaining fuel is 1.5 gallons or less.

Answers

Answer:

a.

capacity of car = 14 gallons

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons

fuel remaining in car = 14 - 8.4 = 5.6 gallons

so they can drive the car without warning.

b.

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 25 days = 25 x 0.6 = 15 gallons

fuel remaining in car = 14 - 15 = -1 gallons

so they can't drive the car without warning.

c.

the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.

d.

14 - 0.6t = 1.5

or - 0.6t = 1.5 - 14 = - 12.5

or t = -12.5 / - 0.6

or t = 20.8333 days

so he can drive 20 days without warning.                                                                                         E.

14 - 0.6t < 1.5

or t < 20.8333

here t represents number of days car can drive without warning light.

Step-by-step explanation:

The inequality is  

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

14 gallons-1.5 gallons=12.5 gallons  

we know that

If the remaining fuel is greater than  1.5 gallons Diego's father can drive the car without the warning light coming on  

so

Let

x ----> the number of days

 ----> inequality that represent the situation

Solve for x

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

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