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
Answer:
The graph of g(x) is translated 4 units down compared to f(x)
Step-by-step explanation:
the -4 in
means it is translated 4 units down
Y = -(-2)^2 + 4(-2) + 1
y = -4 - 8 + 1
y = -11
Answer:
C. Scalene triangle
Step-by-step explanation:
What I would do is add all of the angles to 180 and then solve for x.
6x + 10 + 7x + 15x + 2 = 180
28x + 12 = 180
28x = 168
x = 6
Then, plug in 6 for each expression to find each angle
6(6) + 10 = 46
7(6) = 42
15(6) + 2 = 92
Since none of the angles are equal and one of the angles is over 90 degrees, triangle GFH is a scalene triangle
Answer:
multiply
Step-by-step explanation:
and then you are going to break it down