# Posts by Bosnian

Total # Posts: 2,471

**Math**

m = ( y1 - y2 ) / ( x1 - x2 ) In this case : x1 = 3 , y1 = 4 x2 = 6 , y2 = - 2 m = ( y1 - y2 ) / ( x1 - x2 ) = [ 4 - ( - 2 ) ] / ( 3 - 6 ) = ( 4 + 2 ) / - 3 = 6 / - 3 = - 2

**Math**

Linear eguation in Two-point form : y - y1 = [ ( y2 - y1 ) / ( x2 - x1 ) ] * ( x - x1 ) In this case : x1 = 3 , y1 = 4 x2 = 6 , y2 = - 2 y - y1 = [ ( y2 - y1 ) / ( x2 - x1 ) ] * ( x - x1 ) y - 4 = [ ( -2 - 4 ) / ( 6 - 3 ) ] * ( x - 3 ) y - 4 = [ - 6 / 3 ] * ( x - 3 ) y - 4...

**Math**

He read 60 - 4 = 56 pages 1 week = 7 days 56 pages divide by 7 days 56 / 7 = 8 pages per day

**math**

1 mile = 5,280 ft Multiply by 5,280

**Math**

Approximately correct answer. cos B = ( a ^ 2 + c ^ 2 - b ^ 2 ) / ( 2 a c ) = ( 9 ^ 2 + 11 ^ 2 - 3 ^ 2 ) / ( 2 * 9 * 11 ) = ( 81 + 121 - 9 ) / 198 = 193 / 198 = 0.97474747 B = cos ^ - 1 ( 0.97474747 ) B = 12,90352 ° B = 12 ° 54 ' 12.672 " B = 12 ° 54 '...

**Math**

Copy your question in google. When you see list of results click on : Jupiter V Superstars III - Elliott Tech, LLC You will see answer with detail explanation.

**math help connections academy HHEELLPP**

19 = h / 3 - 8 Add 8 to both sides 19 + 8 = h / 3 - 8 + 8 27 = h / 3 Multiply both sides by 3 27 * 3 = h 81 = h h = 81

**Math**

Correct 75 kg 568 g = 75.568 kg 8 kg 959 g = 8.959 kg 75.568 - 8.959 = 66.609 66.609 kg = 66 kg 609 g

**mathematics**

a4 = 37 a6 = a4 + 12 a6 = 37 + 12 = 49 In an arithmetic progression nth term of the sequence (an) is given by: an = a1 + ( n - 1 ) d so: a4 = a1 + ( 4 - 1 ) d = 37 a1 + 3 d = 37 a6 = a1 + ( 6 - 1 ) d = 49 a1 + 5 d = 49 Now you must solve system of two equations with two ...

**Algebra**

In this case : x1 = - 6 , y1 = 4 x2 = 3 , y2 = - 5 Equation of a straight line from 2 points : y = y1 + [ ( y2 - y1 ) / ( x2 - x1 ) ] ( x - x1 ) y = 4 + [ ( - 5 - 4 ) / ( 3 - ( - 6 ) ) ] ( x - ( - 6 ) ) y = 4 + [ ( - 9 ) / ( 3 + 6 ] ( x + 6) y = 4 + [ ( - 9 ) / 9 ] ( x + 6) y...

**Maths**

1 m = 1000 mm 465 mm = 465 / 1000 = 0.465 m 320 mm = 320 / 1000 = 0.320 m 0.465 * 0. 320 = 0.1488 metre squared 0.1488 * 25 = 3.72 $ 3.72

**8th grade algebra**

Correct result. You also find result like that: 3 x 10 ^ - 2 = 3 / 10 ^ 2 = 0.03 6.2 x 10 ^ 1 = 6.2 x 10 = 62 3 x 10 ^ - 2 - 6.2 x 10 ^ 1 = 0.03 - 62 = - 61.97 = - 6.197 * 10 ^ 1

**Math**

- x ^ 4 + 4 x ^ 4 = 3 x ^ 4 (dy÷dx) f(x)= 3 limit as h -> 0 [ ( x + h ) ^ 4 - x ^ 4 ] / h = 3 limit as h -> 0 [ ( x ^ 4 + 4 x ^ 3 h + 6 x ^ 2 h ^ 2 + 4 x h ^ 3 + h ^ 4 ) - x ^ 4 ] / h = 3 limit as h -> 0 ( 4 x ^ 3 h + 6 x ^ 2 h ^ 2 + 4 x h ^ 3 + h ^ 4 ) / h = 3...

**precalculus**

P.S. If you do not know how to write this value go to: w o l f r a m a l p h a . c o m When page be open in rectangle type : sin ( 3 pi / 8 ) then in rectangle click option =

**precalculus**

Remark : _________________________________ pi / 8 = 22.5° = 22° 30' 3 pi / 8 = 4 pi / 8 - pi / 8 = pi / 2 - pi / 8 3 pi / 8 = 90° - 22° 30' = 67° 30' pi / 4 = 45° sin ( pi / 4 ) = sqroot ( 2 ) / 2 cos ( pi / 4 ) = sqroot ( 2 ) / 2 pi / 2 = ...

**Algebra**

Nuber of 18 yrs old students = x1 Nuber of 19 yrs old students = x2 Nuber of 20 yrs old students = x3 The number of 18 year old was six more than the combined number of 19 and 20 year olds. This mean : x1 = x2 + x3 + 6 x1 = x2 + x3 + 6 Subtract 6 to both sides x1 - 6 = x2 + x3...

**Math**

All real numbers except x = 0 , because for x = 0 , 1 / x -> + OR - infinity. Domain looks like this in interval notation : ( - infinity , 0 ) U ( 0 , infinity )

**Math**

65 = 5 * 13 390 = 5 * 13 * 6 65 : 390 = 5 * 13 : ( 5 * 13 * 6 ) = 1 : 6

**math**

Put t = 12 and s = 9 into equations. 1. 3 ( 3 t + s ) = 3 * ( 3 * 12 + 9 ) = 3 * ( 36 + 9 ) = 3 * 45 = 135 2. 2 s - t = 2 * 9 - 12 = 18 - 12 = 6

**Math**

3 x + 3 ( x - 1 ) <= 18 3 x + 3 x - 3 <= 18 6 x - 3 <= 18 Add 3 to both sides 6 x - 3 + 3 <= 18 + 3 6 x <= 21 Divide both sides by 6 x <= 21 / 6 x <= 3 * 7 / ( 3 * 2 ) x <= 7 / 2

**MATh**

2.8 x = - 9.24 Divide both sides by 2.8 2.8 x / 2.8 = - 9.24 / 2.8 x = - 3.3

**MATh**

- 5 g - 6 g = - 2 - 5 * ( - 2 ) - 6 = 10 - 6 = 4 the sum of 3 coins and c coins = 3 + c = c + 3 x - 2 = 16 Add 2 to both sides x - 2 + 2 = 16 + 2 x = 18 z / - 12 = - 5 Multiply both sides by - 12 z * ( - 12 ) / - 12 = - 5 * - 12 z = 60 x - 8.1 = 5.3 Add 8.1 to both sides x - 8...

**math**

1 - 1 / 5 = 5 / 5 - 1 / 5 = 4 / 5 6 * 4 / 5 = 24 / 5 = $ 4.8 OR 1 / 5 of 6 = 6 / 5 = $ 1.2 $ 6 -$ 1.2 = $ 4.8

**maths**

first number = 7 n second number = 7 n + 7 third number = 7 n + 14 7 n + 7 n + 7 + 7 n + 14 = 777 21 n + 21 = 777 Subtact 21 to both sides 21 n + 21 - 21 = 777 - 21 21 n = 756 Divide both sides by 21 n = 756 / 21 = 36 first number = 7 n = 7 * 36 = 252 second number = 7 n + 7...

**math**

3,600 miles / 40 miles per gallon = 90 gallons 90 * 2.4 $ = 216 $

**Math**

1 yd = 3 ft 1 yd ^ 2 = ( 3 ft ) ^ 2 = 9 ft ^ 2 1 yd ^ 2 / 2 min = 9 / 2 = 4.5 ft ^ 2 / min 3 ft * 30 ft = 90 ft ^ 2 90 ft ^ 2 / ( 4.5 ft ^ 2 / min ) = 20 min

**Math**

1 h = 60 min 40 min = 40 / 60 = 2 * 20 / ( 3 * 20 ) = 2 / 3 h 8 h 40 min = 8 h + 2 / 3 h = 8 * 3 / 3 + 2 / 3 = 24 / 3 - 2 / 3 = 26 / 3 h 3 h = 3 * 3 / 3 = 9 / 3 h Car travel 8 h 40 min. For this time the bus travel = 8 h 40 min + 3 h = 11 h 40 min = 8 h 40 min + 3 h = 26 / 3 h...

**applications in algebra**

A bedroom is 7 feet longer than its width. This mean L = 7 + W A = L * W = 228 ( 7 + W ) * W = 228 7 W + W ^ 2 = 228 W ^ 2 + 7 W = 228 Subtract 228 to both sides W ^ 2 + 7 W - 228 = 228 - 228 W ^ 2 + 7 W - 228 = 0 The solutions are : W = 12 and W = - 19 Width can't be ...

**Math,english,agric,b/sci,PHE,computer,etc**

The sum of two consecutive integers can't be an even number, because the one number is even and the other odd. in this case: a = first number b = second number b = a + 1 a + b = 122 a + a + 1 = 122 2 a + 1 = 122 Subtract 1 to both sides 2 a + 1 - 1 = 122 - 1 2 a = 121 ...

**Math**

No. 5 ^ 2 + 10 ^ 2 - 2 * 5 * 10 cos 50° = 25 + 100 - 100 * cos 50° = 25 + 100 ( 1 - cos 50 ° ) = 25 + 100 * ( 1 - 0.64278761 ) = 25 + 100 * 0.35721239 = 25 + 35.721239 = 60.721239 5 ^ 2 + 10 ^ 2 - 2 * 5 * 10 cos 130° = 25 + 100 - 100 * cos 130° = 25 + 100...

**Math**

166 2/3 % = 166 / 100 + ( 2 / 3 ) / 100= [ 166 + ( 2 / 3 ) ] / 100 = ( 166 * 3 / 3 + 2 / 3 ) / 100 = ( 498 / 3 + 2 / 3 ) / 100 = ( 500 / 3 ) / 100 = 5 / 3 60 / ( 5 / 3 ) = 60 * 3 / 5 = 180 / 5 = 36 Proof : 166 2/3% = 166 / 100 + ( 2 / 3 ) / 100 = 1....

**Math- HELP**

1. 7 / 8 = 0.875 2. 1 1/2 = 1 + 1 / 2 = 1.5 3. 4 3/8 = 4 + 3 / 8 = 4.375 4. 0.4 = 4 / 10 = 2 * 2 / ( 2 * 5 ) = 2 / 5 5. 7.1 = 7 + 0.1 = 7 + 1 / 10 = 7 1/10

**Math**

4 / 5 = 4 * 3 / ( 5 * 3 ) = 12 / 15 - 7 / 15 + ( - 4 / 5 ) = - 7 / 15 - 4 / 5 = - 7 / 15 - 12 / 15 = - 19 / 15

**Math**

Prime numbers 1 - 10 are : 1 , 2 , 3 , 5 and 7 tottal 4 numbers the odds of you getting a prime number = 4 / 10 = 0.4 = 40 %

**algebra**

0.15151515... = 15 / 99 = 3 * 5 / ( 3 * 33 ) = 5 / 33

**algebra**

0.15151515... = 15 / 100 + 15 / 10000 + 15 / 1000000 + 15 / 100000000 + ... = 15 / 100 + 15 / 100 ^ 2 + 15 / 100 ^ 3 + 15 / 100 ^ 4 + ... This is the geometric series : a + a r + a r ^ 2 + a r ^ 3 + a r ^ 4 + ... with a = 15 / 100 and r = 1 / 100 As n goes to infinity the sum ...

**Integration need help also**

In google type : integration calculator online emathhelp when you see list of results click on : Integral Calculator with Steps - eMathHelp When page be open In rectangle type : sinx^2.xdx then clic button CALCULATE You will se solution step - by -step

**Prove that sin(A+B) need help**

In google type : Prove that sin(A+B) When you see list of results click on : Proof of the sum and difference formulas. - The Math Page You will see proof.

**stats**

x1 = 77 x2 = 79 x3 = 95 x4 = 93 averagge of five exam: ( x1 + x2 + x3 + x4 + x5 ) / 5 = 80 ( 77 + 79 + 95 + 93 + x5 ) / 5 = 80 ( 344 + x5 ) / 5 = 80 Multiply both sides by 5 344 + x5 = 80 * 5 344 + x5 = 400 Subtract 344 to both sides x5 = 400 - 344 = 56 Answer: Greater or ...

**Math**

OR if you write : x = number of pencils y = number of pens then x + 1.5 y = 21 x + y = 18

**Math**

x = number of pens y = number of pencils She bought a total of 18 items. x + y = 18 Stella spent 21 $ 1.5$ * x + 1 $ * y = 21 & 1.5 x + 1 * y = 21 1.5 x + y = 21 You must solve system : x + y = 18 1.5 x + y = 21 The solutions aree . x = 6 y = 12 Proof : 6 * 1.5 $ + 12 * 1 $ = ...

**math**

68.9 ft rounded to one decimal place

**math**

1 ft = 12 in 6 ft 4 in = 6 * 12 + 4 = 72 + 4 = 76 in 1 in = 2.54 cm = 2.54 / 100 = 0.0254 m Tall of the basketball player in meters : 76 * 0.0254 = 1.9304 m Tall of the volleyball player in feet : 1.75 / 0.0254 = 68.89763778 ft = 68.9 in rounded to one decimal place

**Algebra**

Tonys age = x Maris age = y Maria is 5 years younger. y = x - 5

**Algebra 2**

( x - y ) ^ 2 = x ^ 2 - 2 x y + y ^ 2 ( b - 8 ) ^ 2 = b ^ 2 - 2 b * 8 + 8 ^ 2 = b ^ 2 - 16 b + 64

**Algebra 2**

Multiply each term in one polynomial by each term in the other polynomial. ( 4 x + 2 y ) ( x - 3 y ) = x * 4 x + x * 2 y - 3 y * 4 x - 3 y * 2 y = 4 x ^ 2 + 2 x y - 12 x y - 6 y ^ 2 = 4 x ^ 2 - 10 x y - 6 y ^ 2

**Math**

7 pizza’s cut into 8 slices. Total 7 * 8 = 56 slices 56 slices / 14 = 4 slices 4 slices of 8 slices in one pizza = 4 / 8 = 1 / 2 OR 7 pizza per 14 students = 7 / 14 = 1 / 2

**math**

P = Pramod age S = Sister age Difference of their age now = 15 yr So : P = S - 15 After 5 years Pramod will be 5 years older, and sister will be 5 years older. Ratio of their age will be : ( P + 5 ) / ( S + 5 ) = 1 / 2 P = S - 15 so : ( S - 15 + 5) / ( S + 5 ) = 1 / 2 ( S - 10...

**math**

35 h * 1 / 5 = 7 h 35 h * 1 / 2 = 17.5 h 35 h * 1 / 7 = 5 h 7 h + 17.5 h + 5 h = 29.5 h The rest of his time = 35 - 29.5 = 5.5 h 5.5 / 35 = 0.15714 = 15 .714 % Approx. 15 %

**Pre Algrebra**

SORRY MY MISTAKE!!!!!! 1 / 5 ^ - 4 = 1 / ( 1 / 5 ) ^ 4 = 5 ^ 4 = 5 * 5 * 5 * 1 / m * 1 / m * 1 / m * 1 / m + 5 * 5 * 5 * 5 ANSWER A

**Pre Algrebra**

m ^ - 4 = 1 / m * 1 / m * 1 / m * 1 / m 1 / 5 ^ - 4 = 1 / 5 * 1 / 5 * 1 / 5 * 1 5 m ^ - 4 + 1 / 5 ^ - 4 = 1 / m * 1 / m * 1 / m * 1 / m + 1 / 5 * 1 / 5 * 1 / 5 * 1 5 Answer d

**Algebra**

a = number of adult tickets b = number of children tickets There were 170 tickets sold in 1 day. This mean : a + c = 170 Subtract c to both sides a + c - c = 170 - c a = 170 - c Money made = 1475 $ 1475 $ = a * 10 $ + c * 7 $ 1475 = 10 a + 7 c 10 a + 7 c = 1475 10 ( 170 - c...

**Algebra**

z = ( x - 8 ) / ( 2 x ) Multiply both sides by 2 x z * 2 x = x - 8 Subtract x to both sides z * 2 x - x = - 8 x * ( 2 z - 1 = - 8 Divide both sides b 2 z - 1 x = - 8 / ( 2 z - 1 ) By the way : - 8 / ( 2 z - 1 ) = 8 / ( 1 - 2 z ) So : x = - 8 / ( 2 z - 1 ) = 8 / ( 1 - 2 z )

**Math**

Paste your question in google. You will find couple explanations.

**Intermediate Algebra (math)**

( 8 x ^ 2 y ^ 2 + 4 x y ^ 2 - 12 y ^ 2 ) / ( 4 x y ^ 2 ) = 4 y ^ 2 ( 2 x ^ 2 + x - 3 ) / ( 4 x y ^ 2 ) = ( 2 x ^ 2 + x - 3 ) / x

**algebra**

( 5 t - 6 c + 4 )+(- 8 t + 9 c ) = 5 t - 6 c + 4 - 8 t + 9 c = 5 t - 8 t - 6 c + 9 c + 4 = - 3 t + 3 c + 4 = 3 c - 3 t + 4 = 3 ( c - t ) + 4

**Maths**

R = Roberts age C = Catherine age The ratio of their age now : R / C = 3 Multiply both sides by C R * C / C = 3 C R = 3 C The ratio of their age after 8 years : ( R + 8 ) / ( C + 8 ) = 2 / 1 = 2 ( 3 C + 8 ) / ( C + 8 ) = 2 Multiply both sides by C + 8 ( 3 C + 8 ) * ( C + 8...

**algebra**

r1 = radius of a larger sphere r2 = radius of a smaller sphere Volume of a sphere is given by the formula : V = ( 4 / 3 ) pi * r ^ 3 Vollume of a larger sphere : V1 = ( 4 / 3 ) pi * r1 ^ 3 = ( 4 / 3 ) pi * ( 3 / 4 ) ^ 3 = Vollume of a smaller sphere : V2 = ( 4 / 3 ) pi * r2 ^ ...

**MATHS - please help**

- 3 / 5 ( x - 1 ) + y + 4 = 0 Multiply both sides by 5 - 3 x + 5 y + 20 = 0

**MATHS - please help**

Sorry c = 4

**MATHS - please help**

y + 4 = 3 / 5 ( x - 1 ) Subtract 3 / 5 ( x - 1 ) y + 4 - 3 / 5 ( x - 1 ) = 3 / 5 ( x - 1 ) - 3 / 5 ( x - 1 ) y + 4 - 3 / 5 ( x - 1 ) = 0 - 3 / 5 ( x - 1 ) + y + 4 = 0 a = - 3 / 5 b = 1 c = 47

**Algebra**

a ^ 2 + b ^ 2 = a ^ 2 + 2 a * b + b ^ 2 2 a * b = a ^ 2 + b ^ 2 2 a * b = a ^ 2 + 2 a * b + b ^ 2 Subtract 2 a * b to both sides 2 a * b - 2 a * b = a ^ 2 + 2 a * b + b ^ 2 - 2 a * b 0 = a ^ 2 + b ^ 2 Subtract a ^ 2 to both sides 0 - a ^ 2 = a ^ 2 + b ^ 2 -a ^ 2 - a ^ 2 = b ^ ...

**Math**

Your answer is correct.

**Math**

1 . a = first number b = second number The large one is 9 times the other. This mean : b = 9 a a * b = 15876 a * 9 a = 15876 9 a ^ 2 = 15876 Divide both sides by 9 a ^ 2 = 15876 / 9 a ^ 2 = 1764 a = sqroot ( 1764 ) a = 42 b = 9 a = 9 * 42 = 3789 2. a = first number b = second ...

**Math**

0.57 = 0.57 * 100 / 100 = 57 / 100

**Math**

Divide the numerator by the denominator.

**math**

After taking three tests average = 84 This mean a student in three test scored 3 * 84 = 252 pt average = 252 / 3 = 84 After four test a student average = ( 252 + 96 ) / 4 = 348 / 4 = 87 Answer C

**Algebra**

5 ( a - 7 ) + 7 = 2 ( a - 5 ) 5 * a - 5 * 7 + 7 = 2 * a - 2 * 5 5 a - 35 + 7 = 2 a - 10 5 a - 28 = 2 a - 10 Subtract 2 a to both sides 5 a - 28 - 2 a = 2 a - 10 - 2 a 3 a - 28 = - 10 Add 28 to both sides 3 a - 28 + 28 = - 10 + 28 3 a = 18 Divide both sides by 3 3 a / 3 = 18 / ...

**MATH**

If the sum of the n term = 225 your question does not make sense. It can not be solved. But if the sum of the n term = 255 then : In geometric sequence : The nth term is : an = a1 * r ^ ( n - 1 ) Where a1 is the first term of the sequence. r is the common ratio. n is the ...

**Math**

A) 7 2 / 9 = 7 + 2 / 9 = 7 * 9 / 9 + 2 / 9 = 63 / 9 + 2 / 9 = 65 / 9 ( 6 / 5 ) * ( 65 / 9 ) = 6 * 65 / ( 5 * 9 ) = 2 * 3 * 5 * 13 / ( 5 * 3 * 3 ) = 2 * 13 / 3 = 26 / 3 B) 6 2 / 7 = 6 + 2 / 7 = 6 * 7 / 7 + 2 / 7 = 42 / 7 + 2 / 7 = 44 / 7 2 * 44 / 7 = 88 / 7

**mathematics**

Volume of a sphere : V = ( 4 \ 3 ) * pi * r ^ 3 Radius increased by 5% New radius : rN = r + ( 5 / 100 ) * r = r + 0.05 * r = 1.05 * r rN = 1.05 * r New volume of a sphere : VN = { 4 \ 3 ) * pi * rN ^ 3 = { 4 \ 3 ) * pi * ( 1.05 r ) ^ 3 = { 4 \ 3 ) * pi * ( 1.05 ) ^ 3 * r ^ 3...

**Math**

taxexs = 4,550 / 35,000 = 0.13 = 13 % 35,000 + 4,000 = 39,000 39,000 * 0.13 = 5,070 5,070 - 4,550 = 520 $ OR 4,550 / 35,000 = x / ( 35,000 + 4000 ) 4,550 / 35,000 = x / 39,000 4,550 * 39,000 = x * 35,000 x = 4,550 * 39,000 / 35,000 x = 177,450,000 / 35,000 x = 5,070 $ 5,070 - ...

**algebra**

( - a - 6 b + 4 ) 3 a b = ( - a ) * 3 a b - 6 b * 3 a b + 4 * 3 a b = - 3 a ^ 2 * b - 18 a * b ^ 2 + 12 ab

**Math**

In google type : Multiplying and dividing decimals, multiply two or more decimals. When you see list of results click on : w w w . m o n t e r e y i n s t i t u t e . o r g

**math**

b = numer of boys g = number of girls There are 5 more girls than boys. g = b + 5 b + g = 49 b + b + 5 = 49 2 b + 5 = 49 Suptract 5 to both sides 2 b + 5 - 5 = 49 - 5 2 b = 44 Divide both sides by 2 2 b / 2 = 44 / 2 b = 22

**math**

b = numer of boys g = number of girls There are 15 more girls than boys. g = b + 15 b + g = 323 b + b + 15 = 323 2 b + 15 = 323 Subtract 15 to both sides 2 b + 15 - 15 = 323 - 15 2 b = 308 Divide both sides by 2 2 b / 2 = 308 / 2 b = 154

**Algebra**

Both answers is correct but you can simplify answer 1. sqrt ( 280 x ^ 6 ) / sqrt ( 7 x ) = sqrt ( 280 x ^ 6 / 7 x ) = sqrt [ ( 280 / 7 ) * x ^ 6 / x ] = sqrt ( 40 * x ^ 5 ) = sqrt ( 40 ) * sqrt ( x ^ 5 ) = sqrt ( 4 * 10 ) * sqrt ( x ^ 5 ) = sqrt ( 4 ) * sqrt ( 10 ) * sqrt ( x...

**math**

She is used: 350 ft - 110 ft = 240 ft of fence Perimeter of a square : P = 4 a 4 a = 240 ft Divide both sides by 4 a = 60 ft

**maths**

sqrt ( 2 ) isnt root of a cubic polynomial 6 x ^ 3 + 2 x ^ 2 - 10 x - 4 sqrt ( 2 )

**math**

In google type: integral calculator with steps When you see list of results click on: Integral Calculator with Steps - eMathHelp When page be open in rectangle: Enter a function type: x^3/(x^2+1)^(1/2) Remark: You must type function exactly in this form with brackets at (1/2) ...

**math arithmetic sequence and series**

If the initial term of an arithmetic progression is a1 and the common difference of successive members is d, then the nth term of the sequence (an is given by: an = a1 + ( n - 1 ) * d This sum : S = n * [ 2 a1 + ( n - 1 ) * d ] / 2 In this case : a1 = 30 d = 3 n = 15 S = n...

**Maths**

59 * 59 - 41 * 41 = 3481 - 1681 = 1800 = 2 * 900 = 2 * 2 * 450 = 2 * 2 * 2 * 225 = 2 * 2 * 2 * 3 * 75 = 2 * 2 * 2 * 3 * 3 * 25 = 2 * 2 * 2 * 3 * 3 * 5 * 5 = 2 ^ 3 * 3 ^ 2 * 5 ^ 2

**algebra**

In google type : mathportal roots calculator When you see list of result click on : Online Polynomial Roots Calculator with explanation When page be open in rectangle type : x^4 + 2 x^3 - 13 x^2 + 4 x - 30 and cick option : Find Roots You will see solution step by step

**quadratic functions**

How can you predict the number of x-intercepts without drawing the graph. Discriminant = b ^ 2 - 4 a c If the discriminant is positive, then there are two distinct roots ( x - intercepts ). If the discriminant is zero, then there is exactly one real root x - intercept ). If ...

**quadratic functions**

- a x ^ 2 - b x - c = - ( a x ^ 2 + b x + c ) Quadratic function can be concave up or concave down. If a x ^ 2 + b x + c concave up or concave down graph of - a x ^ 2 - b x - c will be concave down or concave up. The graph is rotated 180 ° around the x - axis, but x-...

**Calculus**

Copy your question in google. When you see list of results click on : e n . a l l e x p e r t s . c o m You will see answer.

**Math**

( m ^ 2 - m + 3 ) + ( m - 1 ) = m ^ 2 - m + 3 + m - 1 = m ^ 2 - m + m + 3 - 1 = m ^ 2 + 2 ( m ^ 2 - m + 3 ) - ( m - 1 ) = m ^ 2 - m + 3 - m - ( - 1 ) = m ^ 2 - m - m + 3 + 1 = m ^ 2 - 2 m + 4

**mat/116**

x = score of second test average = ( 74 + x ) / 2 78 = ( 74 + x ) / 2 Multiply both sides by 2 156 = 74 + x Subtract 74 to both sides 156 - 74 = 74 + x - 74 82 = x x = 82 average = ( 74 + x ) / 2 = ( 74 + 82 ) / 2 = 156 / 2 = 78

**math**

Answer B

**math**

8 * 10 ^ 3 * 7 * 10 ^ 5 = 8 * 7 * 10 ^ 3 * 10 ^ 5 = 56 * 10 ^ 8 = 5.6 * 10 * 10 ^ 8 = 5.6 * 10 ^ 9 ________________________________ Remark: a ^ n * a ^ m = a ^ ( m + n ) 10 ^ 3 * 10 ^ 5 = 10 ^ ( 3 + 5 ) = 10 ^ 8 10 = 10 ^ 1 10 * 10 ^ 8 = 10 ^ 1 * 10 ^ 8 = 10 ^ ( 1 + 8 ) = 10...

**prealgebra**

5 / 45 = 5 / ( 5 * 9 ) = 1 / 9

**Math**

an = a1 + ( n - 1 ) * d an = 4.6 + ( n - 1 ) * 3.2

**Math**

In arithmetic sequence : an = a1 + ( n - 1 ) * d d is the common difference n is the number of the term to find a6 = a1 + ( 6 - 1 ) * d = 20.6 a1 + 5 d = 20.6 a9 = a1 + ( 9 - 1 ) * d = 30.2 a1 + 8 d = 30.2 Now you must solve system of two equations with two unknown : a1 + 5 d...

**Math**

- 16 t ^ 2 + 200 = 0 Subtract 200 to toth sides - 16 t ^ 2 + 200 - 200 = 0 - 200 - 16 t ^ 2 = - 200 Divide both sides by - 16 - 16 t ^ 2 / - 16 = - 200 / - 16 t ^ 2 = - 200 / -16 t ^ 2 = 200 / 16 t ^ 2 = 4 * 50 / ( 4 * 4 ) t ^ 2 = 50 / 4 t ^ 2 = 2 * 25 / ( 2 * 2 ) t ^ 2 = 25...

**Math**

4 sin ( theta ) + 1 = 2 sin ( theta ) Subtract 2 sin ( theta to both sides ) 4 sin ( theta ) + 1 - 2 sin ( theta ) = 2 sin ( theta ) - 2 sin ( theta ) 2 sin ( theta ) + 1 = 0 Subtract 1 to both sides 2 sin ( theta ) + 1 - 1 = 0 - 1 2 sin ( theta ) = - 1 Divide both sides by 2 ...

**Maths**

a = the length of the larger square b = the length of the smaller square a ^ 2 + b ^ 2 = 65 Possible combinations : a = 1 , b = 8 , a ^ 2 + b ^ 1 = 1 ^ 2 + 8 ^ 2 = 1 + 64 = 65 But the length of the smaller square is greater of the length of the larger square. You must reject ...

**math**

m = number of male lions f = number of female lions m / f = 21 / 20 Multiply both sides by 20 20 m / f = 21 * 20 / 20 20 m / f = 21 Multiply both sides by f 20 m * f / f = 21 * f 20 m = 21 f Divide both sides by 20 20 m / 20 = 21 f / 20 m = 21 f / 20 m + f = 123 ...

**math**

L = 2 W + 3 A = L * W = ( 2 W + 3 ) * W = 2 W ^ 2 + 3 W A = 2 W ^ 2 + 3 W 54 = 2 W ^ 2 + 3 W Subtract 54 to both sides 54 - 54 = 2 W ^ 2 + 3 W - 54 0 = 2 W ^ 2 + 3 W - 54 2 W ^ 2 + 3 W - 54 = 0 The solutions are : W = - 6 and W = 9 / 2 Width can't be negative so : W = 9 / ...

**math**

2 x ^ 2 ( 5 x ^ 2 - 1 x - 4 ) = ( 2 x ^ 2 * 5 x ^ 2 ) - ( 2 x ^ 2 * 1 x ) - ( 2 x ^ 2 * 4 ) = 10 x ^ 4 - 2 x ^ 3 - 8 x ^ 2

**(Algebra) need help plz**

Straight-line equations is the "slope-intercept" form: y = m * x + b x = - 1 , y = - 2 y = m * x + b - 2 = m * ( - 1 ) + b - 2 = - m + b Add 2 to both sides - 2 + 2 = - m + b + 2 0 = - m + b + 2 Add m to both sides 0 + m = - m + b + 2 + m m = b + 2 x = 0 , y = 1 y = ...