Determine what type of number the solutions are and how many exist for the equation 3x^2+7x+5=0
1 answer:
Answer:
Two complex (imaginary) solutions.
Step-by-step explanation:
To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.
The discriminant formula for a quadratic in standard form is:
We have:
Hence, a=3; b=7; and c=5.
Substitute the values into our formula and evaluate. Therefore:
Hence, the result is a negative value.
If:
- The discriminant is negative, there are two, complex (imaginary) roots.
- The discriminant is 0, there is exactly one real root.
- The discriminant is positive, there are two, real roots.
Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.
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The value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.
<h3>What is an exponential function?</h3>It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent
where a is a constant and a>1
We can solve this problem by exponential function:
The word depreciate means the price is decreasing.
We can find the value be when the car is 10 years old:
p = 38800(1 - 0.06)¹⁰
p = 38800(0.94)¹⁰
p = 20898.266 ≈ $20898.27
Thus, the value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.
Learn more about the exponential function here:
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