# Posts by Bosnian

Total # Posts: 2,536

algebra 1
x ^ 2 - 4 x - 21 = 0 Add 21 to both sides x ^ 2 - 4 x - 21 + 21 = 0 + 21 x ^ 2 - 4 x = 21 Add 4 to both sides x ^ 2 - 4 x + 4 = 21 + 4 x ^ 2 - 4 x + 4 = 25 ________________________________________ Remark : ( a - b ) ^ 2 = a ^ 2 - 2 a b + b ^ 2 That's why : x ^ 2 - 4 x + 4...

algebra 1
a = first number b = a + 1 = second number c = b + 1 = a + 1 + 1 = a + 2 third number a + b + c = 99 a + a + 1 + a + 2 = 99 3 a + 3 = 99 Subtract 3 to both sides 3 a + 3 - 3 = 99 - 3 3 a = 96 Divide both sides by 3 a = 32 a = first number = 32 b =second number = 32 + 1 = 33 c...

maths
n = number of a ball 1 - 4 / 5 = 5 / 5 - 4 / 5 = 1 / 5 number of a red balls: n / 5 = 35 Multiply both sides by 5 n = 5 * 35 = 175 Number of a black balls : 175 * 4 / 5 = 700 / 5 = 140 140 - 35 = 105

Math
If your expression mean : ( 28 a ^ 11 b ^ 7 ) / ( 4 a ^ 3 b ) then : ( 28 a ^ 11 b ^ 7 ) / ( 4 a ^ 3 b ) = ( 28 / 4 ) * ( a ^ 11 / a ^ 3 ) * ( b ^ 7 / b ) = 7 a ^ 8 b ^ 6

Math
2 x ^ 2 + 7 x = 0 x ( 2 x + 7 ) = 0 Obviously solution x = 0 2 x + 7 = 0 Subtract 7 to both sides 2 x + 7 - 7 = 0 - 7 2 x = - 7 Divide both sides by 2 x = - 7 / 2 Solutions x = 0 and x = - 7 / 2 x ^ 2 - 4 = 2 x - 4 Add 4 to both sides x ^ 2 - 4 + 4 = 2 x - 4 + 4 x ^ 2 = 2 x ...

math
y / 9 = - 5 / 3 Multiply both sides by 9 y * 9 / 9 = - 5 * 9 / 3 y = - 5 * 9 / 3 y = - 5 * 3 * 3 / 3 y = - 5 * 3 y = - 15

maths
1 Ml = 1,000,000 l 13.5 Ml = 13,500,000 l 13,500,000 / 5 = 2,700,000 s = 45,000 min = 750 h = 31 day 6 h

college math
L = Length W = Width P = Perimeter L = W + 6 P = 2 L + 2 W = 2 ( L + W ) 120 = 2 ( W + 6 + W ) 120 = 2 ( 2 W + 6 ) 120 = 4 w + 12 Subract 12 to both sides 120 - 12 = 4 W 108 = 4 W Divide both sides by 4 27 = W W = 27 in L = W + 6 L = 27 + 6 L = 33 in

algebra
0.25 = 1 / 4 250 x 0.25 = 250 / 4 = 62.5

precalculus
( a - b ) ^ 2 = a ^ 2 - 2 a * b + b ^ 2 [ sin ( t ) - 1 ] ^ 2 = sin ^ 2 ( t ) - 2 * sin ( t ) * 1 + 1 ^ 2 = sin ^ 2 ( t ) - 2 sin ( t ) + 1 so : sin ^ 2 ( t ) - 2 sin ( t ) + 1 = [ sin ( t ) - 1 ] ^ 2 [ sin ^ 2 ( t ) - 2 sin ( t ) + 1 ] / [ sin ( t ) - 1 ] = [ sin ( t ) - 1...

precalculus
sin ( x ) = + OR - sqrt [ 1 - cos ( x ) ^ 2 ] sin ( x ) = + OR - sqrt ( 1 - 0.6 ^ 2 ) sin ( x ) = + OR - sqrt ( 1 - 0.36 ) sin ( x ) = + OR - sqrt ( 0.64 ) sin ( x ) = + OR - 0.8 In IV quadrant sin ( x ) are negative so : sin ( x ) = - 0.8 sin ( 2 x ) = 2 * sin ( x ) * cos ( x...

precalculus
3 pi /2 < x < 2 pi mean x lie in IV quadrant tan ( x ) = + OR - sqrt [ 1 - cos ( x ) ^ 2 ] / cos ( x ) in this case: tan ( x ) = + OR - sqrt ( 1 - 0.6 ^ 2 ) / 0.6 tan ( x ) = + OR - sqrt ( 1 - 0.36 ) / 0.6 tan ( x ) = + OR - sqrt ( 0.64 ) / 0.6 tan ( x ) = + OR - 0.8 / 0...

Math
C = d pi C = Circumference d = diameter C = d * pi In this case: C = 0.4 pi C = 0.4 * 3.14 = 1.256 m 1 km = 1000 m 1000 / 1.256 = 796.17834395 turns 797 turns rounded for full turn

math
Ó mean summ

math
( a + b + c) ^ n = Ó n ! / ( i! j! k! ) a ^ i b ^ j c ^ k where i + j + k = n So exponent of x ^ 3 y ^ 2 z ^ 2 = 7! / (3! 2! 2!) = 5040 / ( 6 * 2 * 2 ) = 5040 / 24 = 210

Please help me...Please....Math
x1/2 = [ - b + OR - sqrt ( b ^ 2 - 4 a c ) ] / 2a

Please help me...Please....Math
Diiscriminant : D = b ^ 2 - 4 a c in this case : a = - 1 b = - 1 c = 30 D = ( - 1 ) ^ 2 - 4 * ( - 1 ) * 30 D = 1 + 4 * 30 = 1 + 120 = 121 x1/2 = - b + OR - sqrt ( b ^ 2 - 4 a c ) / 2a in this case : x1 = - b + sqrt( b ^ 2 - 4 a c ) / 2a x1 = [ - ( - 1 ) + sqrt ( 121 ) ] / [ 2...

triple digit digit product
269 2 * 6 * 9 = 108

math
3 sqrt ( 8 ) * 2 sqrt ( 5 ) = 3 * 2 * sqrt ( 8 ) * sqrt ( 5 ) = 6 sqrt ( 8 * 5 ) = 6 sqrt ( 40 ) = 6 sqrt ( 4 * 10 ) = 6 sqrt ( 4 ) * sqrt ( 10 ) = 6 * 2 * sqrt ( 10 ) = 12 sqrt ( 10 )

Math
( 42 / 24 ) * 50.88 = 1.75 * 50.88 = 89.04 \$

Pre-Calculus
12. 3 / 12 = 3 / ( 3 * 4 ) = 1 / 4 5 / 15 = 5 / ( 5 * 3 ) = 1 / 3 ( x + 3 / 12 ) / ( 4 x - 5 / 15 ) = ( x + 1 / 4 ) / ( 4 x - 1 / 3 ) = ( 4 x / 4 + 1 / 4 ) / ( 4 x * 3 / 3 - 1 / 3 ) = [ ( 4 x + 1 ) / 4 ] / [ ( 12 x - 1 ) / 3 ] = ( 4 x + 1 ) * 3 / [ 4 * ( 12 x - 1 ) ] = ( 3 / 4...

precal
- 4 ln ( x + 1 ) + 9 ln ( x ) = 9 ln ( x ) - 4 ln ( x + 1 ) ________________________________________ n * ln ( a ^ n ) ln ( a ) - ln ( b ) = ln ( a / b ) ________________________________________ 9 ln ( x ) - 4 ln ( x + 1 ) = ln [ x ^ 9 / ( x + 1 ) ^ 4 ]

Math
( 9 / 11 ) * 66 = 594 / 11 = 54 OR In 11 matches team have 9 won. 66 = 6 * 11 Tim will hawe 6 * 9 = 54 won

math
As = Asia's land An = Antarctica's land L = Earth's land As = 3 An As + An = 2 L / 5 3 An + An = 2 L / 5 4 An = 2 L / 5 Multiply both sides by 5 4 * 5 An = 2 L 20 An = 2 L Divide both sides by 20 An = 2 L / 20 An = L / 10

Algebra 2
remark: y < - 6 ( x + 1 ) / 4 are same as y < 6 ( x + 1 ) / - 4

Algebra 2
- 2 ( 3 x + 2 y - 3 ) > 12 - 2 * 3 x - 2 * 2 y - 2 * ( - 3 ) > 12 - 6 x - 4 y + 6 > 12 - 4 y > 12 + 6 x - 6 - 4 y > 6 x + 6 - 4 y > 6 ( x + 1 ) Divide both sides by - 4 If you multiply or divide both sides of an inequality by a negative number, you must ...

Math
6 / 3 = 2 7 x - 6 / 3 + 4 ( 8 + 2 x ) = 7 x - 2 + 4 ( 8 + 2 x ) = 7 x - 2 + 4 * 8 + 4 * 2 x = 7 x - 2 + 32 + 8 x = 15 x + 30 = 15 ( x + 2 )

math
log x ^ n = n * log ( a ) log ( 100 ^ ( 4 z ) ) = 4 z * log ( 100 ) If " log " mean a logarithm to the base 10 then: log ( 100 ) = 2 so : log ( 100 ^ ( 4 z ) ) = 4 z * 2 = 8 z

7th grade math
a1 = the length side of the smaller square a2 = the length side of the larger square

7th grade math
a1 = the side length side of the smaller square a2 = the side length side of the larger square The area of the smaller square is 36 A1 = a1 ^ 2 = 36 a1 ^ 2 = 36 a1 = sqrt ( 36 ) = 6 Perimeter of square = 4 side length In this case : 4 a2 / 4 a1 = 5 / 4 a2 / a1 = 5 / 4 a2 / 6...

Math
( 3 / 4 )( 8 x + 4 x ) + 5 y + 4 = ( 2 / 3 )( 12 x + 9 ) = 3 * 8 x / 4 + 3 * 4 x / 4 + 5 y + 4 = 2 * 12 x / 3 + 9 * 2 / 3 = 3 * 2 * 4 x / 4 + 3 * 4 x / 4 + 5 y + 4 = 2 * 4 * 3 x / 3 + 3 * 3 * 2 / 3 = 3 * 2 * x + 3 * x + 5 y + 4 = 2 * 4 * x + 3 * 2 = 6 x + 3 x + 5 y + 4 = 8 x...

Math
x2 = beta / 2 + alpha = [ 3 + sqrt ( 17 ) ] / ( 2 * 2 ) + [ 3 - sqrt ( 17 ) ] / 2 = [ 3 + sqrt ( 17 ) ] / 4 + 2 * [ 3 - sqrt ( 17 ) ] / ( 2 * 2 ) ] = [ 3 + sqrt ( 17 ) ] / 4 + 2 * [ 3 - sqrt ( 17 ) ] / ( 2 * 2 ) = [ 3 + sqrt ( 17 ) ] / 4 + [ 6 - 2 sqrt ( 17 ) ] / 4 = [ 3 + ...

Math
The zeroes of the polynomial x ^ 2 - 3 x - 2 are [ 3 - sqrt ( 17 ) ] / 2 [ 3 + sqrt ( 17 ) ] / 2 so: alpha = [ 3 - sqrt ( 17 ) ] / 2 beta = [ 3 + sqrt ( 17 ) ] / 2 x1 = alpha / 2 + beta = [ 3 - sqrt ( 17 ) ] / ( 2 * 2 ) + [ 3 + sqrt ( 17 ) ] / 2 = [ 3 - sqrt ( 17 ) ] / 4 + 2...

Algebra
In google type : factor the difference of two squares You will find answers with explain

math
C = d * pi = 4 pi = 4 * 3.14 = 12.56 in

Math ms sue please help
( 17.90 / 22.95 ) * 100 % = 0.779956 * 100 % = 77.9956 % rounded 78 %

Algebra 2
1 th term a1 = 4 * 1 + 16 = 4 + 16 = 20 2 th term a2 = 4 * 2 + 16 = 8 + 16 = 24 3 th term a3 = 4 * 3 + 16 = 12 + 16 = 28 4 th term a4 = 4 * 4 + 16 = 16 + 16 = 32 etc. Arithmetic sequence with first term a1 = 20 and common difference d = 4 General formula for arithmetic ...

math
( 3 p ^ 2 - 6 p q + 7 q ^ 2 ) - ( 5 p ^ 2 - 10 p q + 11 q ^ 2 ) = 3 p ^ 2 - 6 p q + 7 q ^ 2 - 5 p ^ 2 + 10 p q - 11 q ^ 2 = - 2 p ^ 2 + 4 p q - 4 q ^ 2 = - 2 ( p ^ 2 - 2 p q + 2 q ^ 2 )

Precalculus
cos ^ 2 ( x ) - sin ^ 2 ( x ) = 2 cos ^ 2 ( x ) - 1 Subtract cos ^ 2 ( x ) to both sides cos ^ 2 ( x ) - sin ^ 2 ( x ) - cos ^ 2 ( x ) = 2 cos ^ 2 ( x ) - 1 - cos ^ 2 ( x ) - sin ^ 2 ( x ) = cos ^ 2 ( x ) - 1 Add 1 to both sides - sin ^ 2 ( x ) + 1 = cos ^ 2 ( x ) - 1 + 1 1 - ...

math
( 6 p + 4 q ) ( - 2 p + 9 q ) = 6 p * ( - 2 p ) + 4 q * ( - 2 p ) + 6 p * 9 q + 4 q * 9 q = - 12 p ^ 2 - 8 p q + 54 p q + 36 q ^ 2 = - 12 p ^ 2 + 46 p q + 36 q ^ 2

Roman Numerals
1. XVIII = 18 XXII = 22 XVIII + XXII = 40 = XL 2. VI = 6 XIX = 19 VI +XIX = 6 + 9 = 25 = XXV 3. M = 1000 CC = 200 M - CC = 1000 - 200 = 800 = DCCC 4. LXXXIV = 84 XLII = 42 LXXXIV - XLII = 84 - 42 = 42 = XLII 5. VI = 6 XI = 11 VI x XI = 6 * 11 = 66 = LXVI 6. X = 10 V = 5 I = 1 ...

Math
1. 8 = 40 / 5 8 2 / 5 = 40 / 5 + 2 / 5 = 42 / 5 Answer a. 2. 3 / 5 = 0.6 2 / 3 = 0.666 You must find number between 0.6 and 0.666 3 / 6 = 1 / 2 = 0.5 3 / 4 = 0.75 5 / 8 = 0.625 7 / 10 = 0.7 Ansver c.

geometry
Rectangles, squares and rhombuses

Alg 1
L = Length W = Width L / W = ( 1 + sqrt 5 ) / 2 Reciprocally : W / L = 1 / [ ( 1 + sqrt 5 ) / 2 ] W / L = 2 / [ ( 1 + sqrt 5 ) ] Multiply both sides by L W = 2 L / 2 / [ ( 1 + sqrt 5 ) ] W = 2 * 32 / [ ( 1 + sqrt 5 ) ] W = 64 / [ ( 1 + sqrt 5 ) ]

math
0.06 % = 0.0 6 / 100 = 6 / 10,000 250 * 0.06 % = 250 * 6 / 10,000 = 1,500 / 10,000 = 0.15 OR 250 * 0.06 / 100 = 15 / 100 = 0.15

math
Correction : 6 / 10 + 7 / 12 = 36 / 60 + 35 / 60

math
60 = 6 * 10 60 = 5 * 12 6 / 10 = 6 * 6 / ( 6 * 10 ) = 36 / 60 7 / 12 = 7 * 5 ( 5 * 12 ) = 35 / 60 6 / 10 + 7 / 12 = 36 / 60 + 25 / 60 = 71 / 60 = ( 60 + 11 ) / 60 = 60 / 60 + 11 / 60 = 1 11 / 60 6 / 10 + 7 / 12 = 71 / 60 = 1 11 / 60

Math 0098
a = first number b = second number c = thirdt number b = 3 c a = c - 7 a + b + c = 113 c - 7 + 3 c + c = 113 5 c = 113 + 7 5 c = 120 c = 120 / 5 c = 24 a = c - 7 = 24 - 7 = 17 b = 3 c = 3 * 24 = 72 first number = 17 b = 72 c = 24 17 + 72 + 24 = 113

maths
( 2 ^ n + 2 ^ ( n - 1 ) ) / ( 2 ^ ( n + 1 ) - 2 ^ n ) Multiply both sides by ( 2 ^ ( n + 1 ) - 2 ^ n ) ________________________________________ ( 2 ^ n ) * 2 ^ ( n + 1 ) = 2 ^ ( 2 n + 1 ) 2 ^ ( n - 1 ) * (2 ^ ( n + 1 ) ) = 2 ^ 2 n 2 ^ ( 2 n + 1 ) + 2 ^ 2 n = 3 * 4 ^ n 2 ^ ( 2 ...

college algebra
Squaring both sides 3 x + 7 = ( 3 x + 5 ) ^ 2 3 x + 7 = 9 x ^ 2 + 2 * 3 x * 5 + 5 ^ 2 3 x + 7 = 9 x ^ 2 + 30 x + 25 0 = 9 x ^ 2 + 30 x + 25 - 3 x - 7 9 x ^ 2 + 27 x + 18 = 0 Divide both sides by 9 x ^ 2 + 3 x + 2 = 0 If you don't know how to solve this equation then in ...

Algebra
5 / ( 2 - i ) Multiply Numerator and Denominator by 2 + i 5 ( 2 + i ) / ( ( 2 - i ) ( 2 + i ) ) = 5 ( 2 + i ) / ( 4 - 2 i + 2 i - i ^ 2 ) = 5 ( 2 + i ) / ( ( 4 - ( - 1 ) ) = 5 ( 2 + i ) / ( 4 + 1 ) = 5 ( 2 + i ) / 5 = 2 + i 5 / ( 2 - i ) = 2 + i

Math-Population Word Problem
a ) Now t = 0 8,600 + 650 ln( t + 1 ) = 8,600 + 650 ln( 0 + 1 )= 8,600 + 650 ln ( 1 ) = 8,600 + 650 * 0 = 8,600 + 0 = 8,600 b ) 8,600 + 650 ln( t + 1 ) = 12,000 650 ln( t + 1 ) = 12,000 - 8,600 650 ln( t + 1 ) = 3,400 ln( t + 1 )= 3,400 / 650 ln( t + 1 )= 5.23076923 t + 1 = e...

math
OR 3 / 16

math
9 / 48

algebra
Slope-Intercept Form: 5 x + 2 y = 8 Subtract 5 x to both sides 5 x + 2 y - 5 x = 8 - 5 x 2 y = - 5 x + 8 Divide both sides by 2 y = - 5 x / 2 + 4 For graph : In google type: functions graphs online When you see list of results click on: rechneronline.de/function-graphs/ When ...

geometry
d = sqrt [ ( x2 - x1 ) ^ 2 + ( y2 - y1 ) ^ 2 ]

math
When you type : abs(x-1)+2 you must click option : Draw

math
In google type: functions graphs online When you see list of results click on: rechneronline.de/function-graphs/ When page be open in blue recatacangle type: abs(x-1)+2 you will see graph The domain of definition or simply the domain of a function is the set of "input&...

ap calculas
In google type : derivative online When you see list of results click on : Wolfram|Alpha Widgets: "Derivative Solver" - Free Mathematics Widget When page be open in rectangele " derivative of " type : (-x^3+3)(3x+2)^3 and click option : Submit When you see ...

Algebra 2
a ^ 2 - b ^ 2 = ( a + b ) ( a - b ) 1 / 81 - 1 / x ^ 2 = ( 1 / 9 ) ^ 2 - ( 1 / x ) ^ 2 = ( 1 / 9 + 1 / x ) ( 1 / 9 - 1 / x ) ( 1 / 9 - 1 / x ) / ( 1 / 81 - 1 /x ^ 2 ) = ( 1 / 9 - 1 / x ) / [ ( 1 / 9 + 1 / x ) ( 1 / 9 - 1 / x ) ] = 1 / ( 1 / 9 + 1 / x ) = 1 / [ ( x + 9 ) / 9 x...

math
- 10 k + ( - 4 m ) - 8 k + 2 m = - 10 k - 4 m - 8 k + 2 m = - 18 k - 2 m = 2 ( - 9 k - m ) = - 2 ( 9 k + m )

math
6 - 4 t = 2 ( 3 - 2 t ) = 2 ( - 2 t + 3 ) = - 2 ( 2 t - 3 )

math
P = 3 a a = P / 3 = ( 15 x + 18 ) / 3 = 5 x + 6

Algebra
1-th term ( n = 1 ) : 3 n + 5 = 3 * 1 + 5 = 3 + 5 = 8 2-th term ( n = 2 ) : 3 n + 5 = 3 * 2 + 5 = 6 + 5 = 11 3-th term ( n = 3 ) : 3 n + 5 = 3 * 3 + 5 = 9 + 5 = 14 4-th term ( n = 4 ) : 3 n + 5 = 3 * 4 + 5 = 12 + 5 = 17 8 , 11 , 14 , 17 Answer B

Algebra
f ( x ) mean : " f is a function of x " f ( 1.5 ) are value of FUNCTION 3 x - 2 when x = 1.5 so of f ( 1.5 ) = 2.5

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

Math,6th grade
34 * 5 / 2 = 170 / 2 = 85 mi

Math
2 ( 3 + 4 y + 7 ) = 2 * 3 + 2 * 4 y + 2 * 7 = 6 + 8 y + 14 = 8 y + 20

algebra
x ^ 3 - 48 x - 128 = ( x - 8 ) ( x + 4 ) ^ 2 Solutions : x = - 4 and x = 8 x ^ 3 - 12 x + 16 = ( x - 2 ) ^ 2 ( x + 4 ) Solutions : x = - 4 and x = 2

math
sqrt ( - 169 ) = sqrt [ 169 * ( - 1 ) ] = sqrt ( 169 ) sqrt ( - 1 ) = 13 i

math
If 3m 66m mean 3 m 66 cm then: 3 m 66 cm = 3.66 m L = Longer piece S = Shorter piece L = 2 S L + S = 3.66 m 2 S + S = 3.66 m 3 S = 3.66 m Divide both sides by 3 S = 3.66 m / 3 S = 1.22 m = 1 m 22 cm L = 2 S = 2 * 1.22 m = 2.44 m = 2 m 44 cm

Math..
4 ( x + 1 / 2 ) - 2 ( x + 3 / 2 ) <= 5 4 x + 4 / 2 - 2 x - 6 / 2 <= 5 4 x + 2 - 2 x - 3 <= 5 2 x - 1 <= 5 A dd 1 to both sides 2 x - 1 + 1 <= 5 + 1 2 x < = 6 Divide botg sides by 3 x <=3 x less or equal 3

Mathematic
In google type : wolframapha widget "Step-by-step integration" When yoe see list of results click on : WolfrAlpha Widget "Step-by-step integration" When page be open in rectangle type : cos^2(3x)sin^4(3x) (type exactly like that) and click option : Submit ...

math
1 - 3 / 4 = 4 / 4 - 3 / 4 = 1 / 4 2 / ( 1 / 4 ) = ( 2 / 1 ) / ( 1 / 4 = ( 2 * 4 ) / ( 1 * 1 ) = 8 / 1 = 8 \$

Math-
When you multiply or divide left and right sides of inequality WITH NEGATIVE NUMBER , you MUST CHANGE the direction of the inequality

Math-
x / 2 - ( 3 x - 1 ) / 3 = [ 3 x - 2 ( 3 x - 1 ) ] / 6 = ( 3 x - 6 x + 2 ) / 6 = ( - 3 x + 2 ) / 6 x / 2 - ( 3 x - 1 ) / 3 < 1 / 4 ( - 3 x + 2 ) / 6 < 1 / 4 Multiply both sides by 6 - 3 x + 2 < 6 / 4 Multiply both sides by 4 - 12 x + 8 < 6 Subtract 8 to both sides...

Algebra
P = Perimeter L = Legth W = Width P = 2 L + 2 W = 2 ( L + W ) 38 = 2 ( L + 4 ) Divide both sides by 2 19 = L + 4 Subtract 4 to both sides 19 - 4 = L + 4 - 4 15 = L L = 15 in

Pre-Calculus
3 ^ ( - 3 ) = 1 / 27 OR 1 / 3 ^ 3 = 1 / 27

fractions
13 1 / 4 = 13 5 / 20

fractions
13 1 / 4 = 13 4 / 20 12 9 / 10 = 12 18 / 20 13 4 / 20 + 12 18 / 20 = 25 22 / 20 = 25 11 / 10 = 25 +10 / 10 + 1 / 10 = 25 + 1 + 1 / 10 = 26 1 / 10

Algebra
A is correct answer

Math question
If 1-(3x/2) <. 4 mean : 1 - ( 3 x / 2 ) < 0.4 then Subtract 1 to both sides 1 - ( 3 x / 2 ) - 1 < 0.4 - 1 - 3 x / 2 < - 0.6 Multiply both sides by 2 - 3 x < - 1.2 Divide both sides by - 3 ________________________________________ Remark: When you multiply or ...

algebra
2 x + ( 1 / 2 ) y = 24 Multiply both sides by 10 20 x + ( 1 / 2 ) y * 10 = 24 * 10 20 x + 5 y = 240 ________________________________________ 3 x + 5 y = 10 - 20 x + 5 y = 240 ________________________________________ 3 x - 20 x + 5 y - 5 y = 10 - 240 - 17 x = - 230 Divide both ...

math
a = smaller number b = larger number a = b - 18 a + b = 58 b - 18 + b = 58 2 b - 18 = 58 Add 18 to both sides 2 b - 18 + 18 = 58 + 18 2 b = 76 Divide both sides by 2 2 b / 2 = 76 / 2 b = 38 a = b - 18 a = 38 - 18 = 20 smaller number = 20 larger number = 38

algebra I
In google type: quadratic equation online When you see list of results click on: Free Online Quadratic Equation Solver:Solve by Quadratic Formula When page be open in rectangle type: 16x^2+56x-120=0 and click option: solve it You will see solution step-by step

math
42 % = 42 / 100 40 = x * 42 / 100 Multiply both sides by 100 40 * 100 = 42 x 4000 = 42 x Divide both sides by 42 4000 / 42 = x x = 95.238 OR 42 % = 42 / 100 = 0.42 x = 40 / 0.42 = 95.238

maths
The n - th term of a geometric progression with initial value a and common ratio r is given by: an = a * r ^ ( n - 1 ) In this case : a3 = a * r ^ ( 3 - 1 ) = a * r ^ 2 = 36 a8 = a * r ^ ( 8 - 1 ) = a * r ^ 7 = 8748 So you must solve two equations : a * r ^ 2 = 36 and a * r ^ ...

Math (2nd Try)
OR P = 6 x y ( 2x ^ 2 y + 1 ) + 2

Math (2nd Try)
OR P = 2 ( 6 x ^ 3 y ^ 2 + 3 x y + 1 ) P = 12 x ^ 3 y ^ 2 + 6 x y + 2 P = x y ( 12 x ^ 2 y + 6 ) + 2

Math (2nd Try)
P = 2 l + 2 w P = 2 ( l + w ) P = 2 ( 6 x ^ 3 y ^ 2 - 1 + 3 x y + 2 ) P = 2 ( 6 x ^ 3 y ^ 2 + 3 x y + 1 )

MATH
0.9 h = 0.9 * 60 min = 54 min

MATH
1 h = 60 min 0.9 h = 54 min 1.9 h = 1 h 54 min 1 h = 60 min write 5 h 05 min like : 5 h 05 min = 4 h + 60 min + 5 min = 4 h 65 min 5 h 05 min - 1.9 h = 4 h 65 min - 1 h 54 min = 3 h 11 min PM

Algebra
J = 45 Jims age C = Carols age Jim is 10 years older than 5 times his niece Carol J = 45 = 5 C + 10 45 = 5 C + 10 Subtract 10 to both sides 45 - 10 = 5 C + 10 - 10 35 = 5 C Divide both sides by 5 35 / 5 = 5 C / 5 7 = C Carol is 7 yo

Math
1. x ^ 2 + 4.5 x = 0 x ^ 2 + 9 x / 2 = 0 x / 2 ( 2 x + 9 ) = 0 Multiply both sides by 2 x ( 2 x + 9 ) = 0 First solution: obviously x = 0 Second solution: 2 x + 9 = 0 Subtract 9 to both sides 2 x + 9 - 9 = 0 - 9 2 x = - 9 Divide both sides by 2 x = - 9 / 2 Solutions are x = 0 ...

math
y-intercept is a point where the graph of a function or relation intersects with the y-axis of the coordinate system. OR y-intercept is a point where x = 0 1 / 2 y = 9 x + 5 Multiply both sides by 2 y = 18 x + 10 for x = 0 y = 18 * 0 + 10 = 0 + 10 = 10 y-intercept = 10 3 x = 6...

algebra
In google type: How many rational numbers are there between 0 and 1 Yo will find answer.

Algebra
A parabola which opens up has a lowest point and a parabola which opens down has a highest point. The highest or lowest point on a parabola is called the vertex. The parabola is symmetric about a vertical line through its vertex, called the axis of symmetry. x - coordinate of ...

Algebra
x = - b / 2 a x = - 6 / [ 2 * ( - 1 ) ] x = - 6 / - 2 = 3 y = - 3 ^ 2 + 6 * 3 - 11 y = - 9 + 18 - 11 = - 2 Answer A

Calculus
d ( x ^ n ) / dx = n x ^ ( n - 1 ) d ( x ^ - 6 ) / dx = - 6 x ^ ( - 6 - 1 ) = - 6 x ^ - 7 d [ sqr 5 ( x ^ - 6 ) ] / dx = sqr 5 ( - 6 ) x ^ - 7 = - 6 sqr 5 / x ^ 7

Math
1 + n / 16 = 2 Subtract 1 to both sides 1 + n / 16 - 1 = 2 - 1 n / 16 = 1 Multiply both sides by 16 n * 16 / 16 = 1 * 16 n = 16 Proof: 1 + n / 16 = 2 1 + 16 / 16 = 2 1 + 1 = 2