Determine the nature of the solution(s) of 5w2 – 2w= -4
A- one real, rational solution
B- two real, irrational solutions
C- two imaginary solutions
D- two real, rational solutions

Step-by-step explanation:

This is a quadratic equation.  We'll find the discriminant, but must first rewrite this equation in standard form:

5w2 – 2w + 4 = -4 + 4, or 5w^2 - 2w + 4 = 0

The coefficients of the w terms are {5, -2, 4}

and so the discriminant b^2 - 4ac  is  4 - 4(5)(20) = -396

Because the discriminant is negative, we know that there will be two unequal, complex solutions.

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2