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.
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
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=...
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 ...
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...
no. of 10 resturants surveyed in city of lucknow and found that average food wastage per day is 35 kg with variance as 3 kg . is it reasonable to assume that the daily mean wastage of food in a resturant is 38 kg ? test @5% significance level.
a random sample of 100 students from the current years batch gives the mean IQ level of 110 and variance of 5 can we say that this is same as the IQ of the previous batch which was 116.
quadrialteral abcd is aparallelogram.If the measure of angle A is 62 degrees, measure of ADB is 75 degrees, what is the measure of angle ADC in degrees
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