Answer:
Discriminant is 17 and it has 2 real roots.
Step-by-step explanation:
To find the number of real roots for a quadratic, we apply the discriminate. The discriminate is the inside portion of the square root from the quadratic formula.
• 
yields 2 real roots
• 
yields 1 real root
• [tx]b^2-4ac<0[/tex] yields no real roots
where a=4, b=-7, and c=2
.
It has 2 real roots
X->inf is the right side of the graph and you can see that y is decreasing. this is represented by option 1.
x->-inf is the left side of the graph and you can see that y is also decreasing. this is represented by option 2.
Answer:
x^2 -6x + 222/25
Step-by-step explanation:
If the zeros are as above, then ;
x = 3-√3/5 or x = 3 + √3/5
Firstly, let’s represent √3/5 by b
Thus;
The two roots are ;
x = 3-b or x = 3 + b
so;
x+ b -3 and x -3-b
The quadratic equation is the product of the two
(x + b-3)(x - b -3)
x(x - b-3) + b(x -b -3) -3(x - b -3)
= x^2 -bx -3x + bx -b^2 -3b -3x + 3b + 9
Collect like terms and we are left with;
x^2 -6x -b^2 + 9
So let’s put back b = √3/5
x^2 -6x -(√3/5)^2 + 9
x^2 -6x -3/25 + 9
x^2 -6x + 222/25
Answer:
Option B and C are correct.
Step-by-step explanation:
Inverse function: If both the domain and the range are R for a function f(x), and if f(x) has an inverse g(x) then:
for every x∈R.
Let 
and 
Use logarithmic rules:
then, by definition;
= 
Similarly;
for 
and 
then, by definition;
= 
Similarly,
g(f(x)) = x
Therefore, the only option B and C are correct. As the pairs of functions are inverse function.
