# Posts by Bosnian

Total # Posts: 2,664

math
Completely fill the 7 gallon bucket. Pour the water from 7 gallon bucket into 12 gallon bucket. Again completely fill the 7 gallon bucket. Pour the water from 7 gallon bucket into 6 gallon bucket. Now in 7 gallon bucket you have 7 - 6 = 1 gallon. Pour that 1 gallon into 12 ...

Math
1.) a1 = 16.5 a2 = 16.5 + 0.25 = 16.75 a3 = 16.75 + 0.25 = 17 a4 = 17 +0.25 = 17.25 a5 = 17.25 +0.25 = 17.5 2.) an = a1 + ( n - 1 ) * d an = - 1 + ( n - 1 ) * 5 OR an = 5 ( n - 1 ) - 1

Math
In an Arithmetic Sequence the difference between one term and the next is a constant. 19 - 14 = 5 24 - 19 = 5 29 - 24 = 5 So difference = 5 29 + 5 = 34 34 + 5 = 39 39 + 5 = 44 Answer A

pre-calc
When you want to solve system with three unknowns you must write three equations, not two.

math
3. Answer c Becouse : For x = - 4 y = 2 x – 3 = 2 * ( - 4 ) - 3 = - 8 - 3 = - 11 4. Answer d If your expression mean y = - x + 8 6. m = ( y2 - y1 ) / ( x2 - x1 ) In this case : x1 = 6 , x2 = 4 , y1 = 2 , y2 = - 2 m = ( y2 - y1 ) / ( x2 - x1 ) = ( - 2 - 2 ) / ( 4 - 6...

math
( 10 , - 52 ) Becouse : For x = 10 y = - 5 x - 4 = - 5 * 10 - 4 = - 50 - 4 = - 54

Geometry
The interior angles of a triangle always add up to 180° x + x + 10° + 2 x - 6° = 180° 4 x + 4° = 180° Subtract 4° to both sides 4 x + 4° - 4° = 180° - 4° 4 x = 176° Divide both sides by 4 4 x / 4 = 176° / 4 x = 44° Angles...

algebra
In google type : Systems Matrix Calculator When you see list of result click on : Online calculator. Linear equations solver: Matrix solution. When page be open type your coefficients 1 , 3 , 2 , 3 2 , - 1 , - 3 , - 8 5 , 2 , 1 , 9 and click opštion : Solve the system. ...

ALGEBRA /116
-5 x / 7 - 2 > - 1 Multiply both sides by - 1 _______________________________________ Remark : When you multiply or divide each side of the inequality by a negative number, you have to reverse the inequality symbol. ______________________________________ 5 x / 7 + 2 < 1 ...

algebra/116
Put x and y values into equation : y = 6 x - 6 1. x = 0 , y = - 6 y = 6 x - 6 y = 6 * 0 - 6 = 0 - 6 = - 6 Correct x = 12 , y = 3 y = 6 x - 6 y = 6 * 12 - 6 = 72 - 6 = - 66 Not correct One correct set and one uncorrect set. So ansver 1 is not correct. 2. x = 0 , y = - 6 y = 6 x...

math
( 3 / 4 ) * ( 7 / 8 ) = ( 3 * 7 ) / ( 4 * 8 ) = 21 / 32

calculus
W = Width L = Length Draw rectangle W x L Divde rectangle into thirds with two lines parallel with width. Outside fance perimeter = 2 W + 2 L Inside fance length = 2 W Total cost : ( 2 W + 2 L ) * 10 \$ + 2 W * 20 \$ = 400 \$ ( 2 W + 2 L ) * 10 + 2 W * 20 = 400 20 W + 20 L + 40 W...

math
39 = 3 * 13

math
a = First number b = Second number The sum of digit = 9 a + b = 9 Subtract b to both sides a + b - b = 9 - b a = 9 - b The different of digit = 5 b - a = 5 b - ( 9 - b ) = 5 b - 9 + b = 5 2 b - 9 = 5 Add 9 to both sides 2 b - 9 + 9 = 5 + 9 2 b = 14 Divide both sides by 2 2 b...

math help
x + y = 2 Subtract x to both sides x + y - x = 2 - x y = 2 - x 3 x ^ 2 + 4 x y + y ^ 2 = 6 3 x ^ 2 + 4 x ( 2 - x ) + ( 2 - x ) ^ 2 = 6 ________________________________ Remark : ( a - b ) ^ 2 = a ^ 2 - 2 a b + b ^ 2 So : ( 2 - x ) ^ 2 = 2 ^ 2 - 2 * 2 *x + x ^ 2 ...

Algebra 1
This is not systems of equations.

Math
330 ° = 360 ° - 30 ° Circular functions: sin ( 360 ° - theta ) = - sin theta sin 330 ° = sin ( 360 ° - 30 ° ) = - sin 30 ° = - 1 / 2 cos ( 360 ° - theta ) = cos theta cos 330 ° = cos ( 360 ° - 30 ° ) = cos 30 ° = sqroot 2 / 2...

General Question.
In Psychology : Dark orange - Distrust Pink - Caring Blue - Loyalty

math
For example : First : Rectangle 18 x 2 Perimeter = 2 * 18 + 2 * 2 = 36 + 4 = 40 Area = 18 * 2 = 36 Second : Rectangle 7 x 6 Perimeter = 2 * 7 + 2 * 6 = 14 + 12 = 26 Area = 7 * 6 = 42

1 1 / 2 = 1 + 1 / 2 = 2 / 2 + 1 / 2 = 3 / 2 If She uses 1 1/2 cups of sugar for every 2 pies she use ( 1 1 / 2 ) / 2 = ( 3 / 2 ) / 2 = 3 / 4 cup for one pie. 5 1 / 4 = 5 + 1 / 4 = 20 / 4 + 1 / 4 = 21 / 4 5 1 / 4 / ( 3 / 4 ) = 21 / 4 / ( 3 / 4 ) = 21 / 3 = 7 pies

Math
Note that, in this sequence, each term is twice the previous term. 6 / 4 = 2 * 3 / 4 12 / 4 = 2 * 6 / 4 = 3 24 / 4 = 2 * 12 / 4 = 2 * 3 = 6 48 / 4 = 2 * 24 / 4 = 2 * 6 = 12 96 / 4 = 2 * 48 / 4 = 2 * 12 = 24 192 / 4 = 2 * 96 / 4 = 2 * 24 = 48 384 / 4 = 2 * 192 / 4 = 2 * 48 = 96...

Trigonometry
943 ° = 720 ° + 223 ° = 2 * 360 ° + 223 ° Coterminal angle = 223 °

- 10 x + y = 4 x = - 2 - 10 * ( - 2 ) + y = 4 20 + y = 4 y = 4 - 20 = - 16 x = - 1 - 10 * ( - 1 ) + y = 4 10 + y = 4 y = 4 - 10 = - 6 x = 0 - 10 * 0 + y = 4 0 + y = 4 y = 4 x = 1 - 10 * 1 + y = 4 - 10 + y = 4 y = 4 + 10 = 14 x = 2 - 10 * 2 + y = 4 - 20 + y = 4 y = 4 + 20 = 24

Math
an = a1 + ( n - 1 ) d a10 = 3 + ( 10 - 1 ) * 6 a10 = 3 + 9 * 6 = 3 + 54 = 57

Math
In arithmetic sequence : an = a1 + ( n - 1 ) d Where: a1 is the first term of the sequence d is the common difference n is the number of the term a1 = 3 a4 = 3 + ( 3 - 1 ) d = 3 + 2 d a13 = 3 + ( 13 - 1 ) d = 3 + 12 d 1st, 4th, and 13th term forming a geometric sequence, so : ...

Math
2 / 3 = 2 / 3 * 1 = ( 2 / 3 ) * ( 3 / 3 ) = 6 / 9 2 / 9 + 2 / 3 = 2 / 9 + 6 / 9 = 8 / 9

MATH

Algebra 2
3 square root( 2 x + 1 ) = 3 square both sides 3 ^ 2 * square root( 2 x + 1 ) ^ 2 = 3 ^ 2 9 * ( 2 x + 1 ) ^ 2 = 9 Divide both sides by 9 2 x + 1 = 1 Subtract 1 to both sides 2 x + 1 - 1 = 1 - 1 2 x = 0 Divide both sides by 2 x = 0

Algebra 2
square root ( 5 - 2 x ) + 5 = 12 Subtract both 5 to both sides square root ( 5 - 2 x ) + 5 - 5 = 12 - 5 square root ( 5 - 2 x ) = 7 Square both sides 5 - 2 x = 49 Subtract 5 to both sides 5 - 2 x - 5 = 49 - 5 - 2 x = 44 Divide both sides by - 2 x = 44 / - 2 x = - 22

Algebra 2
square root ( 2 x - 5 ) = 7 Square both sides 2 x - 5 = 49 Add 5 to both sides 2 x - 5 + 5 = 49 + 5 2 x = 54 Divide both sides by 2 x = 54 / 2 x = 27

MATHS
In google type : Cryptarithmetic Puzzle Solver When you see list of results click on : bach.istc.kobe-u.ac.jp/llp/crypt When page be open in rectangle type: lass+lad=love and click on: Solve Problem have 250 solutions.

2 3/4 = 2 * 4 / 4 + 3 / 4 = 8 / 4 + 3 / 4 = 11 / 4 1 1/2 = 2 * 1 / 2 + 1 / 2 = 2 / 2 + 1 / 2 = 3 / 2 A = L * W = 11 / 4 * 3 / 2 = 33 / 8 = 32 / 8 + 1 / 8 = 4 1/8

1 1/4 = 1 + 1 / 4 = 4 / 4 + 1 / 4 = 5 / 4 5 / 4 * 1 / 5 = 5 / 4 * 5 = 1 / 4

Math
1.) 3 x - 5 y = 2 Add 5y to both sides 3 x - 5 y + 5 y = 2 + 5 y 3 x = 2 + 5 y Subtract 2 to both sides 3 x - 2 = 2 + 5 y - 2 3 x - 2 = 5 y 5 y = 3 x - 2 2 x + 5 y = 13 2 x + 3 x - 2 = 13 5 x - 2 = 13 Add 2 to both sides 5 x - 2 + 2 = 13 + 2 5 x = 15 Divide both sides by 5 5 x...

Math
Substitution method: x – 2 y = 0 Add 2 y to both sides x – 2 y + 2 y = 0 + 2 y x = 2 y 3 x – y ^ 2 = 0 3 * 2 y - y ^ 2 = 0 6 y - y ^ 2 = 0 - y ^ 2 + 6 y = 0 Multiply both sides by - 1 y ^ 2 - 6 y = 0 y * y - 6 y = 0 y * ( y - 6 ) = 0 Obviously solution y = 0 and...

Maths
What mean x 7 y = 5 ? x - 7 y = 5 x + 7 y = 5 x ^ 7 y = 5

math
3.9 / 11.7 = 16.5 / x Multiply both sides by x 3.9 * x / 11.7 = 16.5 * x / x 3.9 x / 11.7 = 16.5 Multiply both sides by 11.7 3.9 x * 11.7 / 11.7 = 16.5 * 11.7 3.9 x = 193.05 Divide both sides by 3.9 3.9 x / 3.9 = 193.05 / 3.9 x = 49.5 ft OR 11.7 = 3.9 * 3 So : 3. 9 / 11.7 = 3....

calculus
If your expression mean: lim sin ^ 3 ( 3 x ) / ( x sin ( x ^ 2) ) , as x -> 0 then : f ( x ) = sin ^ 3 ( 3 x ) g ( x ) = x sin ( x ^ 2) lim [ f ( x ) / g ( x ) ] as x->0 = lim f ( x ) , as x -> 0 / lim g ( x ) , as x -> 0 = lim sin ^ 3 ( 3 x ) , as x -> 0 / lim ...

alg 2
h = 25 t - 5 t ^ 2 Replace t with 3 h = 25 * 3 - 5 * 3 ^ 2 h = 75 - 5 * 9 h = 75 - 45 = 30 m

Math homework
20 / 8 = 4 * 5 / ( 4 * 2 ) = 5 / 2 = 2.5 min / page 2.5 * 20 = 50 min OR 8 / 20 = 20 / x Multiply both sides by x 8 * x / 20 = 20 * x / x 8 x / 20 = 20 Multiply both sides by 20 8 x * 20 / 20 = 20 * 20 8 x = 400 Divide both sides by 8 8 x / 8 = 400 / 8 x = 50 min

maths
6 / 9 = 8 / x Multiply both sides by x 6 * x / 9 = x * 8 / x 6 x / 9 = 8 Multiply both sides by 9 6 x * 9 / 9 = 8 * 9 6 x = 72 Divide both sides by 6 6 x / 6 = 72 / 6 x = 12 6 : 9 = 8 : 12

math
6 + x = 12 Subtract 6 to both sides 6 + x - 6 = 12 - 6 x = 6

ALGEBRA
x1 = - 1 x2 = 0 x3 = 1 x4 = 2 x2 - x1 = 0 - ( - 1 ) = 0 + 1 = 1 x3 - x2 = 1 - 0 = 1 x4 - x3 = 2 - 1 = 1 y1 = - 2 y2 = 1 y3 = 4 y4 = 7 y2 - y1 = 1 - ( - 2 ) = 1 + 2 = 3 y3 - y2 = 4 - 1 = 3 y4 - y3 = 7 - 4 = 3 Since both x and y increase by a constant difference ( x increases by...

math
m = 5 n = 8 m - n = 5 - 8 = - 3 m - n divided by 4 = - 3 / 4

math
( m - n ) / 4 = ( 5 - 8 ) / 4 = - 3 / 4

Pre-Calculus
2000 = 1990 + 10 M ( t ) = 29.9 ( t + 10 ) ^ 2 + 3892 M ( t ) = 29.9 ( t ^ 2 + 2 t * 10 + 10 ^ 2 ) + 3892 M ( t ) = 29.9 ( t ^ 2 + 20 t + 100 ) + 3892 M ( t ) = 29.9 t ^ 2 + 29.9 * 20 t + 29.9 * 100 + 3892 M ( t ) = 29.9 t ^ 2 + 598 t + 2990 + 3892 M ( t ) = 29.9 t ^ 2 + 598 t...

Algebra
1. C The degree of a monomial is the sum of the exponents of all its variables. 3 + 2 = 5 2. B ( 7 t ^ 2 + 9 ) + ( 6 t ^ 2 + 8 ) = 7 t ^ 2 + 9 + 6 t ^ 2 + 8 = 13 t ^ 2 + 17 3. A 4 D 5. D ( 5 x ^ 3 + 2 ) ( 5 x ^ 3 - 2 ) = 5 x ^ 3 * 5 x ^ 3 + 5 x ^ 3 * 2 - 2 * 5 x ^ 3 - 2 * 2 = ...

math
( 2000 - 40 ) / 200 = 160 / 200 = 40 * 4 / ( 40 * 5 ) = 4 / 5 = 0.8 = 0.8 * 100 % = 80 %

science
1 mile = 1.609344 km When you convert 26.22 miles in kilometers you get: 26.22 * 1.609344 = 42.19699968 km approx. 42.197 km But he marathon is a long-distance running event with an OFFICIAL DISTANCE of 42.195 kilometres. You can type: Marathon in google

math,algebra
A = W * L = 8 * 16 = 128 ft ^ 2

math,algebra
P = Perimeter L = Length W = Width P = 2 W + 2 L = 2 ( W + L ) L = 2 W P = 2 ( W + L ) = 2 ( W + 2 W ) = 2 * 3 W = 6 W 48 = 6 W Divide both sides by 6 48 / 6 = 6 W / 6 8 = W W = 8 ft L = 2 W = 2 * 8 = 16 ft P = 2 ( W + L ) = 2 ( 8 + 16 ) = 2 * 24 = 48 ft

Math Question
B.) Correction. sin ^ 2 x + cos ^ 2 x = 1 and 1 - sin ^ 2 x = cos ^ 2 x But Answer B.)

Math Question
B.) Becouse : sin ^ 2 x + cos ^ 2 x = 1 and sin ^ 2 x - 1 = cos ^ 2 x Other 3 expression are identity.

Percentages ques 2
A = B - 20 % B = B - 0.2 B = 0.8 B A = 0.8 B Divide both sides by 0.8 A / 0. 8 = 0.8 B / 0.8 1.25 A = B B = 1.25 A B = 2 C Divide both sides by 2 B / 2 = C C = B / 2 C = 1.25 A / 2 C = 0.625 A = 0.625 A * 100 /100 = 62.5 % A

Percentages
60 % = 60 / 100 = 0.6 80 % = 80 / 100 = 0.8 x = Number of games in season A team has played so far x - 15 games and won 60 % of the games . So : 0.6 * ( x - 15 ) + 15 = 0.8 x 0.6 x - 0.6 * 15 + 15 = 0.8 x 0.6 x - 9 + 15 = 0.8 x 0.6 x + 6 = 0.8 x Subtract 0.6 x to both sides 0....

math
You want to find two numbers whose product is 10 and whose sum is 18. So solution 1 and solution 2 are same solution. The numbers are: 9 - sqroot ( 71 ) and 9 + sqroot ( 71 )

math
a = first number b = second number Conditions : a * b = 10 a + b = 18 a + b = 18 Subtract a to both sides a + b - a = 18 - a b = 18 - a a * b = 10 a * ( 18 - a ) = 10 18 a - a ^ 2 = 10 - a ^ 2 + 18 a = 10 Multiply both sides by - 1 a ^ 2 - 18 a = - 10 [ Add ( 18 /2 ) ^ 2 = 9...

math/algebra
Copy your question in google. When you see list of results click on : w w w . a l g e b r a . c o m / c g i - b i n / j u m p - t o - q u e s t i o n . m p l You will see solution.

Maths
5 x + y = 35 Subtact 5 x to both sides 5 x + y - 5 x = 35 - 5 x y = 35 - 5 x 3 x - 2 y = 14 3 x - 2 ( 35 - 5 x ) = 14 3 x - 2 * 35 - 2 * ( - 5 x ) = 14 3 x - 70 + 10 x = 14 13 x - 70 = 14 Add 70 to bopth sides 13 x - 70 + 70 = 14 + 70 13 x = 84 Divide both sides by 13 13 x / ...

Algebra
R = Age of Rosa A = Age of Amy Rosa is 14 years older than her sister Amy. R = A + 14 Three years ago, she was three times as old as amy Three years ago, Rosa and Amy was 3 years younger so. R - 3 = 3 ( A - 3 ) Replace R with A + 14 A + 14 - 3 = 3 ( A - 3 ) A + 11 = 3 A - 3 * ...

algebra
3 * 4 + 20 / 4 = 12 + 5 = 17

Math
L = Length = x W = Width = 2 x - 4 x = 2 + 3 t L = x L = 2 + 3 t W = 2 x - 4 = W = 2 ( 2 + 3 t ) - 4 = W = 2 * 2 + 2 * 3 t - 4 = W = 4 + 6 t - 4 = W = 6 t W = 6 t L = 2 + 3 t A = W * L = A = 6 t * ( 2 + 3 t ) = A = 6 t * 2 + 6 t * 3 t = A = 12 t + 18 t ^ 2 t = 2 A = 12 t + 18 ...

math
L = Length of a wire = 24 cm a = The length of square side. P = Perimeter of a square = 4a Length of a wire = Perimeter of a square L = P 24 cm = 4 a Divide both sides by 4 6 cm = a a = 6 cm A = Area of the square = a ^ 2 A = 6 ^ 2 = 36 cm ^ 2

Math
Copy your question in google. When you see list of results click on : w w w . a l g e b r a . c o m You will see answer.

algebra
For quadratic equation : a x ^ 2 + b x + c = 0 The solutions are: x1/2 = [ - b + OR - sqroot ( b ^ 2 - 4 a c ) ] / 2 a Int this case : a = 1 b = 4 c = 6 x1/2 = [ - 4 + OR - sqroot ( 4 ^ 2 - 4 * 1 * 6 ) ] / ( 2 * 1 ) x1/2 = [ - 4 + OR - sqroot ( 16 - 24 ) ] / 2 x1/2 = [ - 4 + ...

Algebra
x = 1.5 f ( 1.5 ) = 3 * 1.5 -2 = 4.5 - 2 = 2.5 Answer : a

algebra 1
n = even number n - 1 = odd number 3 ( n - 1 ) = 4 n - 11 3 n - 3 = 4 n - 11 Subtract 3 n to both sides 3 n - 3 - 3 n = 4 n - 11 - 3 n - 3 = n - 11 Add 11 to both sides - 3 + 11 = n - 11 + 11 8 = n n = 8 = even number n - 1 = 7 = odd number

Maths
Steve, I am from Sarajevo, Bosnia and Herzegovina. English is foreign language for me. Numerator is typing mistake, so what?

Maths
n = numerator d = denominator n = d - 2 ( n - 3 ) / ( d - 3 ) = 3 / 4 ( d - 2 - 3 ) / ( d - 3 ) = 3 / 4 ( d - 5 ) / ( d - 3 ) = 3 / 4 Multiply both sides by 4 4 ( d - 5 ) / ( d - 3 ) = ( 3 / 4 ) *4 4 ( d - 5 ) / ( d - 3 ) = 3 Multiply both sides by ( d - 3 ) 4 ( d - 5 ) ( d - ...

Algebra I
A = 4 B A + B = 160 _____________ A + B = 160 4 B + B = 160 5 B = 160 Divide both sides by 5 B = 160 / 5 = 32 min A = 4 B = 4 * 32 = 128 min

algebra
( 5 x ^ 2 - 7 x + 23 ) + 2 x ^ 2 + 9 x -72 = 5 x ^ 2 + 2 x ^ 2 - 7 x + 9 x + 23 - 72 = 7 x ^ 2 + 2 x - 49

math
- 0.15 ( x - 13 ) ^ 2 + 7.6 = 7 Subtract 7.6 to both sides - 0.15 ( x - 13 ) ^ 2 + 7.6 - 7.6 = 7 - 7.6 - 0.15 ( x - 13 ) ^ 2 = - 0.6 Divide both sides by - 0.15 ( x - 13 ) ^ 2 = - 0.6 / - 0.15 ( x - 13 ) ^ 2 = 4 Take square root to both sides x - 13 = + OR - 2 Add 13 to both ...

math
( - 5 pi / 12 ) rad = - 75 ° cos ( - x ) = cos x cos ( - 5 pi / 12 ) rad = cos ( 75 ° ) 75 ° = 45 ° + 30 ° cos ( A + B ) = cos ( A ) * cos ( B ) - sin ( A ) * Sin ( B ) cos ( 75 ° ) = cos ( 45 ° + 30 ° ) = cos ( 45° ) * cos ( 30 ° ) - ...

math
Remark : a1 = 2 n a2 = 2 ( n + 1 ) a3 = 2 ( n + 2 ) a4 = 2 ( n + 3 ) n is an integer.

math
The even integers are: a1 = 2 n a2 = 2 ( n + 1 ) a3 = 2 ( n + 2 ) a4 = 2 ( n + 3 ) a2 ^ 2 = a1 * a4 [ 2 ( n + 1 ) ] ^ 2 = 2 n * 2 ( n + 3 ) 4 ( n + 1 ) ^ 2 = 4 n * ( n + 3 ) Divide both sides by 4 ( n + 1 ) ^ 2 = n * ( n + 3 ) n ^ 2 + 2 * n * 1 + 1 ^ 2 = n * n + n * 3 n ^ 2 + ...

Mathematics
V = Velocity L = Length t = Time LA = Distance between meeting point and town A LB = Distance between meeting point and town B L = LA + LB = 120 km LA + LB = 120 Subtract LA to both sides LA + LB - LA = 120 - LA LB = 120 - LA VA = Velocity of a car which travelling town A for ...

trigometry
tan theta + cot theta = tan theta + 1 / tan theta = tan theta * tan theta / tan theta + 1 / tan theta = tan ^ 2 theta / tan theta + 1 / tan theta = ( tan ^ 2 theta + 1 ) / tan theta = ( sin ^ 2 theta / cos ^ 2 theta + cos ^ 2 theta ) / tan theta = [ ( sin ^ 2 theta + cos ^ 2 ...

algebra
z ^ - 4 = 1 / z ^ 4 z ^ - 4 / 6 x ^ 2 = ( 1 / z ^ 4 ) / 6 x ^ 2 = 1 / z ^ 4 * 6 x ^ 2 = 1 / [ 6 ( z ^ 4 * x ^ 2 ) = 1 / [ 6 ( z ^ 2 * x ) ^ 2 ]

maths
7 n + 13 = 5 n + 20 Subtract 5 n to both sides 7 n + 13 - 5 n = 5 n + 20 - 5 n 2 n + 13 = 20 Subtract 13 to both sides 2 n + 13 - 13 = 20 - 13 2 n = 7 Divide both sides by 2 n = 7 / 2

algebra 1
3 x ^ 2 - 4 x + 1 = ( x - 1 ) ( 3 x - 1 ) 3 x ^ 2 - 3 = 3 ( x ^ 2 - 1 ) = 3 ( x + 1 ) ( x - 1 ) ( 3 x ^ 2 - 4 x + 1 ) / ( 3 x ^ 2 - 3 ) = ( x - 1 ) ( 3 x - 1 ) / [ 3 ( x + 1 ) ( x - 1 ) ] = ( 3 x - 1 ) / [ 3 ( x + 1 ) ] = 1 - 4 / [ ( 3 ( x + 1 ) ] Domain : x + 1 # 0 x # - 1 ...

math
1 cm = 1 / 100 m 100,000 x 1 cm = 1000 x 1 / 100 = 1,000 m 1,000 m = 1 km 1 cm on scale = 1 km 7 x 4 cm on scale = 7 km x 4 km = 28 km ^ 2

Precal
H = Height of the lighthouse = 200 ft L = Distance between the lighthouse and a ship theta = The angle of elevation = 21 ° tan theta = H / L tan 21 ° = 200 / L Multiply both sides b L L tan 21 ° = 200 Divide both sides by tan 21 ° L = 200 / tan 21 ° L = 200...

college pre-calculus
Correction : Your equation becomes : ( x + 1) [ x - ( 1 + i ) ] [ x - ( 1 - i ) ] ( x + 1) [ x - ( 1 + i ) ] [ x - ( 1 - i ) ] = ( x + 1 ) ( x ^ 2 - 2 x + 2 ) = x ^ 3 - x ^ 2 + 2 Answer D

college pre-calculus
1) x ^ 3 + a x ^ 2 + b x + c = ( x - x1 ) ( x - x2 ) ( x - x3 ) 2) For an equation with real coefficients, imaginary roots ( if any ) occur in conjugate pairs, i.e. f ( x ) = 0 a polynomial equation with real coefficients an n + i * m an imaginary root of it , then n - i * m ...

Math
2 x / ( x - 1 ) - 9 x / ( x - 2 ) = [ 2 x ( x - 2 ) - 9 x ( x - 1 ) ] / [ ( x - 1 ) ( x - 2 ) ] = [ 2 x * x + 2 x * ( - 2 ) - 9 x * x - 9 x * ( - 1 ) ] / ( x ^ 2 - 3 x + 2 ) = ( 2 x ^ 2 - 4 x - 9 x ^ 2 + 9 x ) / ( x ^ 2 - 3 x + 2 ) = ( - 7 x ^ 2 + 5 x ) / ( x ^ 2 - 3 x + 2...

Math

Algebra
Draw a Cartesian coordinate system. Now : 2 x - y = 4 for x = 0 2 x - y = 4 2 * 0 - y = 4 - y = 4 Multiply both sides by - 1 y = - 4 This is first point ( x = 0 , y = 4 ) for y = 0 2 x - y = 4 2 x - 0 = 4 2 x = 4 Divide both sides by 2 x = 2 This is second point ( x = 2 , y = ...

math
a = first number b = second number Conditions: a + b = 39 2 a + 3 b = 101 ________________ a + b = 39 Subtract b to both sides a + b - b = 39 - b a = 39 - b 2 a = 2 ( 39 - b ) 2 a = 78 - 2 b 2 a + 3 b = 101 78 - 2 b + 3 b = 101 78 + b = 101 Subtract 78 to both sides 78 + b - ...

Math
P = the perimeter = 80 m A = the area W = the width L = the length P = 2 W + 2 L = 2 ( W + L ) 80 = 2 ( W + L ) Divide both sides by 2 40 = W + L Subtract L to both sides 40 - L = W + L - L 40 - L = W W = 40 - L A = W * L A = ( 40 - L ) * L A = 40 L - L ^ 2 A = - L ^ 2 + 40 L ...

algebra 1
5 x - 12 y = - 3 Miltiply both sides by - 2 - 10 x + 24 y = 6 - 10 x + 24 y = 6 + 10 x - 4 y = - 25 __________________ 0 + 20 y = - 19 20 y = - 19 Multiply both sides by 20 y = - 19 / 20 10 x - 24 y = - 6 10 x - 24 * ( - 19 ) / 20 = - 6 10 x - ( 4 * 6 ) * ( - 19 ) / ( 4 * 5...

- 1 / 4 / ( 3 / 2 ) = - 1 * 2 / ( 4 * 3 ) = - 2 / 12 = - 2 / ( 2 * 6 ) = - 1 / 6

9 / 2 = 18 / 4 3 / 4 - 9 / 2 = 3 / 4 - 18 / 4 = - 15 / 4

Math
3. Becouse : | - x | = x - ( - ( - x ) ) = - x | - x | = - ( - ( - x ) ) mean: x = - x That is true only for x = 0

math
W = L - 4 P = 2 W + 2 L P = 2 ( W + L ) P = 2 ( L - 4 + L ) P = 2 ( 2 L - 4 ) P = 2 * 2 L - 2 * 4 P = 4 L - 8 56 = 4 L - 8 Add 8 to both sides 56 + 8 = 4 L - 8 + 8 64 = 4 L Divide both sides by 4 64 / 4 = 4 L / 4 16 = L L = 16 m W = L - 4 = 16 - 4 = 12 m Proof: P = 2 ( W + L...

algebra
You can write: 4 y - x = - 3 like: - x + 4 y = - 3 Now: - x + 4 y = - 3 + 2 x - 4 y = 14 _________________ - x + 2 x + 4 y - 4 y = - 3 + 14 x + 0 = 11 x = 11 4 y - x = - 3 4 y - 11 = - 3 Add 11 to both sides 4 y - 11 + 11 = - 3 + 11 4 y = 8 Divide both sides by 4 4 y / 4 = 8...

Algebra
If the room have rectangle form then : L = W + 23 P = 2 W + 2 L P = 2 ( W + L ) P = 2 ( W + W + 23 ) P = 2 ( 2 W + 23 ) P = 4 W + 46 290 = 4 W + 46 Subtract 46 to both sides 290 - 46 = 4 W + 46 - 46 244 = 4 W Divide both sides by 4 244 / 4 = 4 W / 4 61 = W W = 61 ft L = W + 23...

Calculus
The solutions of quadratic equation t ^ 2 + 2 t - 1 = 0 are : t = sqroot ( 2 ) - 1 and t = - 1 - sqroot ( 2 ) = - [ 1 +sqroot ( 2 ) ] = - 2.41421 Substitution sin ( x ) = t OR t = sin ( x ) give : sin ( x ) = sqroot ( 2 ) - 1 and sin ( x ) = - 1 - sqroot ( 2 ) = - [ 1 +sqroot...

Calculus
arc sin ( x ) is inverse sine function of x arc sin ( x ) = sin ^ - 1 ( x )

Calculus
sin ^ 2 ( x ) + cos ^ 2 ( x ) = 1 => cos ^ 2 ( x ) = 1 - sin ^ 2 ( x ) y = 2 sin ( x ) - [ 1 - sin ^ 2 ( x ) ] y = 2 sin ( x ) - 1 + sin ^ 2 x y = sin ^ 2 x + 2 sin ( x ) - 1 Substitution sin ( x ) = t y = t ^ 2 + 2 t - 1 x - intercept is a point on the graph where y is ...