Since the discriminant given has a value that is greater than zero, hence the roots of the quadratic equation are real and distinct.
<h3>Discriminant of a quadratic equation</h3>
Quadratic equation is an equation that has a leading degree of 2. The discriminant is used to determine the nature of the equation
If D > 0 , the roots of the quadratic equation are real and distinct.
If D < 0 , the roots of the quadratic equation are complex
Since the discriminant given has a value that is greater than zero, hence the roots of the quadratic equation are real and distinct.
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Answer: 87.75
Step-by-step explanation:
Multiply 12.25 times 3 because the student bought 3 shirts
Then multiply 25.50 times 2 because the student bought two pairs of pants
Then add up both your multiplication together and you will get 87.75
No because 9/1,000 in decimals would be 0.009 because if the number was a 3 number then it would go in the tenths
Answer:

So then the integral converges and the area below the curve and the x axis would be 5.
Step-by-step explanation:
In order to calculate the area between the function and the x axis we need to solve the following integral:

For this case we can use the following substitution
and we have 

And if we solve the integral we got:

And we can rewrite the expression again in terms of x and we got:

And we can solve this using the fundamental theorem of calculus like this:

So then the integral converges and the area below the curve and the x axis would be 5.
Answer:
Always
Step-by-step explanation:
The rules for positive numbers is that addition and multiplication makes numbers larger. Subtraction and division makes numbers smaller.
Since 12 is a positive number, the result of dividing a positive number by 12 will make it smaller.