Step-by-step explanation:
We have,
If a quadratic equation with real coefficients has a discriminant of -36.
The general form of quadratic equation is :

The discriminant of this equation is : 
If D=0, it will have 1 real roots
If D>0, it will have 2 real roots
If D<0, it will have no real roots
We have,
D = -36 < 0, so, the quadratic equation will have no real roots.
Answer:
The inequality is 
Step-by-step explanation:
Given : The isosceles triangle with base and side 4x+3, 2x+7.
And the perimeter is at least 137ft.
To write : An inequality for x
Solution : Let the base
and sides 
The perimeter of Isosceles triangle is 
where s=side and b=base
Now, we have given that perimeter is at least 137 ft.
Therefore, the inequality form is



Answer: Second option is correct.
Step-by-step explanation:
Since we have two spinners,
Each spinner has 10 equal sectors labeled with the numbers from 1 to 10.
Primes numbers from 1 to 10 is given by

So, number of outcomes shows a primes number from 1 to 10 = 4
Similarly ,
Composite numbers from 1 to 10 is given by

So, number of outcomes shows a composite number from 1 to 10 =5
∴ Total outcomes show a prime number on the first spinner and a composite number on the second spinner is given by

Thus, Second option is correct.