Find the Interval(s) for B Such That the Equation Has $4 x ^ { 2 } + b x + 7 = 0$

question 390

Multiple Choice

Find the interval(s) for b such that the equation has at least one real solution and write a conjecture about the interval(s) based on the values of the coefficients
$4 x ^ { 2 } + b x + 7 = 0$ .

• A) \(( - \infty , - 2 \sqrt { 28 } ] \cap [ 2 \sqrt { 28 } , \infty )\) If \(a > 0\) and \(c < 0\) , \(b \geq - 2 \sqrt { a c }\) or \(b \geq 2 \sqrt { a c }\)
• B) \(( - \infty , - 2 \sqrt { 28 } ] \cup [ - 2 \sqrt { 28 } , \infty )\) If \(a < 0\) and \(c > 0\) , \(b \leq - 2 \sqrt { a c }\) or \(b \leq 2 \sqrt { a c }\)
• C) \(( - \infty , - 2 \sqrt { 28 } ] \cup [ 2 \sqrt { 28 } , \infty )\) If \(a > 0\) and \(c > 0\) , \(b \leq - 2 \sqrt { a c }\) or \(b \geq 2 \sqrt { a c }\)
• D) \(( - \infty , 2 \sqrt { 28 } ] \cup [ 2 \sqrt { 28 } , \infty )\) If \(a > 0\) and \(c > 0\) , \(b \leq 2 \sqrt { a c }\) or \(b \geq 2 \sqrt { a c }\)
• E) \(( - \infty , - 2 \sqrt { 28 } ] \cap [ 2 \sqrt { 28 } , \infty )\) If \(a < 0\) and \(c < 0\) , \(b \leq 2 \sqrt { a c }\) or \(b \leq 2 \sqrt { a c }\)

Grasp the importance of water in body weight and function.

Understand the role and function of different hormones and their receptors in the human body.

Identify the source and the target organs or cells of specific hormones.

Explain the concepts of hormone transportation and hormone-receptor interaction.

---

Definitions:

Net Income

The net income of a business following the subtraction of all costs and taxes from its gross earnings.

Income Distribution

The allocation of a company's net income among shareholders in the form of dividends and retained earnings within the company.

Capital Balance

Represents the amount of capital contributed by investors or owners, plus retained earnings minus any distributions or withdrawals.

Interest

The cost paid for borrowing money, typically expressed as a percentage rate over the period of borrowing.