Hello from MrBillDoesMath!
Answer:
x = 4
x = ( -7 + sqrt(29)) /2
x = ( -7 - sqrt(29)) /2
Discussion:
x^3+3x^2-23x-20 factors as (x - 4) (x^2 + 7 x + 5) so x =4 is one root
The roots of the quadratic factor, x^2 + 7x + 5, can be found using the quadratic formula where a = 1, b = 7, and c = 5
x = ( -b +\- sqrt(b^2-4ac)) / 2a
x = ( -7 +\- sqrt( 7^2 - 4*1*5) ) / (2*1) =>
x = ( -7 +\- sqrt (49-20) ) / 2 =>
The "+" root: ( -7 + sqrt(29)) /2
The "-" root: ( -7 - sqrt(29)) /2
Regards,
MrB
50-8 5/6 =41.1 foot roll
how to get the answer:
find the lowest common factory between both:6
50 - 53
----------
1 6
300 - 53 247
----------= ------ or 41.1
6 6
1. Rate of change is 2/5
2. Rate of change is 1.5
3. Rate of change is -1x
4.Rate of change is 1/4
The relationship between radius (r), angle (θ), and arc length (s) is given by
.. s = r*θ . . . . . . . . θ in radians
.. s = (5 cm)*(210π/180)
.. s = 35π/6 cm
.. s ≈ 18.33 cm