Answer:
2 real solutions
Step-by-step explanation:
Remember this messy thing?

The <em>quadratic formula</em>, as it's called, gives us the roots to any quadratic equation in standard form (ax² + bx + c = 0). The information on the <em>type</em> of roots is contained entirely in that bit under the square root symbol (b² - 4ac), called the <em>discriminant</em>. If it's non-negative, we'll have <em>real</em> roots, if it's negative, we'll have <em>complex roots</em>.
For our equation, we have a discrimant of (-3)² - 4(6)(-4) = 9 + 96 = 105, which is non-negative, so we'll have real solutions, and since quadratics are degree 2, we'll have exactly 2 real solutions.
 
        
             
        
        
        
In general, the derivative of a single term  Ax^(n)  is  A n x^(n-1) .
And the derivative of a sum of many terms is the sum of the derivatives 
of the individual terms.   
Using these two rules, the derivative (with respect to 'x') of the expression 
in the question is . . .
<em>            Y' = -21x² - 16x + 6</em>
        
             
        
        
        
Answer:
0.02 (rational)
2 (rational)
Square root of 2 (irrational)
Square root 1/2 (irrational)
Step-by-step explanation:
Rational numbers are numbers that can be in form of a/b such that a and b are not zeros. In other words, a and b are integers ranging from 1 to infinity.
Conversely, irrational numbers are numbers that are endless and are non repeating digits after decimal point.
Thus, from the questions above;




 
        
             
        
        
        
9514 1404 393
Answer:
   d)  -4 ≤ x ≤ 1.5
Step-by-step explanation:
The domain is the horizontal extent of the graph. Here, it goes from about x=-4 to about x = 1.5.
There are solid dots on both ends of the line segment, so the inequality will use ≤ for both limits. The domain is ...
   -4 ≤ x ≤ 1.5