q = # quarters
p = # of pennies = 3.5 q
n = # nickels = 1/5 q summed they equal 282
q + 3.5 q + 1/5 q = 282
4.7 q = 282
q = 60 then p = 210 n = 12
d = p - 10 dime value = 10 ( p-10)
n = 6d = 6 ( p-10) = 6p -60 nickel value = 5 ( 6p-60)
p
p + 10( p-10) + 5( 6p-60) = 748
p = 28 then d = 18 n = 108
3x^2 + 5x + 7 = 0 ( I assume the '+' sign....it is the same key on my keyboard)
By Vieta's Formulas
u+ v = -5/3 and uv = 7/3
(u+v)^2 =
u^2 + v^2 + 2 uv = (-5/3)^2
u^2 + v^2 = 25/9 - 2uv
u2 + v2 = 25/9 - 2(7/3) = -17/9 = - 1.8888888.....
10 000 * 1.02 * 1.025= $ ........
7/10 mile + 1/5 mile = 7/10 + 2/10 = 9/10 mile ( the number of polar bears is not relevant)
Cylinder volume pi r^2 h
12 * pi r12 h / (pi r22 h) = # of larger needed
12 (4)^2 / ( (6^2) = 5 1/3 =~ 6 cylinders of 6 cm
Physics ( from Wikipedia)
Photon energy is directly proportional to frequency.
E = h f
where
E is energy (J)
h is Planck's constant: 6.62607015 × 10−34 (m2kgs−1)
f is frequency (Hz)
E/h = f
2.95 x 10-17 / ( 6.62607015 x 10 -34) = f
5t + s/5 = 3
3t + 6s = 9 Multiply TOP equation by -30 to get :
-150 t -6s = - 90 Now, when you add the two bottom equations the 's' term will be gone and you can solve for 't'
then use this value of 't' in any of the equations to calculate the value of 's'
Vertex (2,4) form of parabola
y = a (x -2)^2 + 4 sub in the point (1,17) to calculate 'a'
17 = a (1-2)^2 + 4 so a = 13
y = 13 ( x-2)^2 + 4 expand
y = 13x^2 -52x + 56
https://web2.0calc.com/questions/quadratic_10781
