Answers by visitors named: Anu

Satirical quotes from midnight's children and The God of Small Things

Ok, but thanks for the link.

Bring constant to other side: y-81=9x^2+72x Make constant in front of x^2 term one: (y-81)/9=x^2+8x (y/9)-9=x^2+8x complete the square...(x+a)^2= x^2+2abx+a^2. x^2=x^2 so 8x=2ax= so a=4 4^2=a^2=16 The equation you want to create is (x+4)^2= x^2+8x+16 previously we had (y/9)-9=x^2+8x so add 16 to make the equation desired (y/9)-9=x^2+8x +16 +16 (y/9)+7=x^2+8x+16 (y/9)+7=(x+4)^2 and now solve for y: subtract 7:(y/9)=(x+4)^2-7 multiply by 9:y=[(x+4)^2-7]9 y=9(x+4)^2-7(9) y=9(x+4)^2-63 Vertex form: a(x-h)^2+k=y where (h,k) is the coordinate of the vertex. You have: 9(x+4)^2-63=y where (-4,-63) is the coordinate of the vertex. :)

it is the length of the circle's perimeter the formula for cicumference is 2 pi r. pi is a contstant that goes on forever (3.1425....) and r is the length of the radius

lim (x->0) x^4 cos 2/x= =lim (x->0) x^4 * lim (x>0) cos 2/x = 0 * lim (x>0) cos 2/x cos (a) will always be between -1 and 1. but this is irrelevant since x^4 is 0 at x=0, and anything multiplied by 0 is 0 :P

x intercepts...think of the graph. the line crosses the x-axis when y=0. so set y=0 0=(3x+2)(x+2) 0=(x+2) or 0=(3x+2) Solve to get -2 and -2/3 As for axis of symmetry and vertex...you can use vertex form or remember that (-b/2a) in ax^2 +bx+c will give you the x-coordinate of the vertex. plug in that x value to get the y value of the vertex y=-b/2a will also be the line of symmetry as it goes through vertex (graph if this doesn't make sense to you)

for the first one I assume they want you to factor out ¡ñ 30 and add 801+4 for the second, I assume they want you to first factor out ¡ñ 20 then do the combination--not 100% sure.

a) illogical nonidentity because 4 does not equal 5 b) testable statement. i don't know your definition of logical statement and can't be of much more help here 3) false obviously d) logical statement due to commutative prop of addition

Graph it if you don't understand my solution: Linear equations follow the format y=mx+b where m is the slope and b is the y-intercept. let y= fees and x=number of credits now calculate slope (change in y/change in x) m=(2600-2000)/(6-3)= 200 y=200x+b Plug in any point to find b 2000=200(3)+b b=1400 so your equation is y=200x+1400 :P

Draw graph of y= x^(1/2) to help you understand solution. Rotation about y-axis means that the radius of the solid (length being swung around the axis is the x-value). it helps to solve for x-value rather than try to substitute everything. x=y^2 where y>0 each disk or x-value being swung around has an area of pi x^2 (area of a circle equals pi r^2) or in terms of y= pi (y^2)^2= pi Y^4 to make this a volume you need to multiply by the change in y (notation=dy) so.....integrate from the interval x=0 to x=3 you need to integrate...when x=0, y==0 when x=3, y= sqrt(3) so integrate /sqrt(3) pi(y^4) dy 0/ dont let y confuse you----its just a variable like x. integrate normally

plug in the value for x and solve 3(2)-10 6-10 =-4 capish?

plug in 1 for n for the first term. plug in 2 for second term and so aon until the sixth term ex:(-3)n (-3)1=-3 (-3)2= -6 etc... :P

find the derivative: f'= 15x^14 this function is always positive (graph if you don't believe me) because any number to an even power must be 0 or greater. thus since the derivative is always positive, the graph of f (x) is always increasing :P

This equation is derived from the following: at maximum height the velocity is zero. y(current height)= y0 (initial height)+v0t+.5at^2 take the derivative 32t-v0=0 so vo=32t Plug this in for the v0 value 16t2 − (32t)t + h = 0 h=49ft -16t^2+49=0 Solve for t: 16t^2=49 4t=7 t=7/4 Plug in t and h to solve for v0 16t2 − v0t + h = 0 where h=49 and t=7/4 16(7/4)^2-v0 (7/4) +49=0 :P

a) 3x(3x-1) b) (2x-3)(2x+3)

0.01062M

2.089*10^28

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Sol: HCF of 180, 252 and 324: 324 = 1 x 180 + 144 180 = 1 x 144 + 36 144 = 4 x 36 + 0 So, HCF of 324 and 180 = 36 HCF of 252 and 36: 252 = 7 x 36 + 0 So, HCF of 252 and 36 is 36. Hence, the HCF of 180, 252 and 324 is 36.

157.5

You should calculate fully and try to be a little more understanble

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