**The graph is that of \(y = 2x^2 - 5x - 3.\) For what value of \(x\) will \(y\) b...**

### Question

The graph is that of \(y = 2x^2 - 5x - 3.\) For what value of \(x\) will \(y\) be negative? For what value of \(x\) will \(y\) be negative?

### Options

A)

\(-\frac{1}{2} \leq x < 3\)

B)

\(-\frac{1}{2} < x \leq 3\)

C)

\(-\frac{1}{2} < x < 3\)

D)

\(-\frac{1}{2} \leq x \leq 3\)

The correct answer is C.

### Explanation:

The graph is that of \(y = 2x^2 - 5x - 3.\)

\(2x^2 - 5x - 3 = 0\)

\(2x^2 - 6x + x - 3 = 0\)

\(2x(x - 3) + 1(x - 3) = 0\)

\((2x + 1)(x - 3) = 0\)

\(2x + 1 = 0\)

\(2x = -1\)

\(x = -\frac{1}{2}\)

\(x - 3 = 0\)

\(x = 3\)

For what value of \(x\) will \(y\) be negative?

\(-\frac{1}{2} < x < 3\)

### More Past Questions:

## Dicussion (1)

### Other Subjects

- English Language
- Biology
- Government
- Physics
- Economics
- Chemistry
- Christian Religious Knowledge
- Commerce
- Geography
- Literature In English
- Accounts
- Agricultural Science
- General Paper
- Islamic Religious Knowledge
- History
- Computer Studies
- Further Mathematics
- Civic Education
- Current Affairs
- Catering Craft Practice
- Data Processing
- Marketing
- Animal Husbandry
- Math
- Reading
- Insurance
- Writing and Language
- Fine Arts
- Home Economics
- French
- Igbo
- Hausa
- Yoruba
- Basic Accounting

The graph is that of \(y = 2x^2 - 5x - 3.\)

\(2x^2 - 5x - 3 = 0\)

\(2x^2 - 6x + x - 3 = 0\)

\(2x(x - 3) + 1(x - 3) = 0\)

\((2x + 1)(x - 3) = 0\)

\(2x + 1 = 0\)

\(2x = -1\)

\(x = -\frac{1}{2}\)

\(x - 3 = 0\)

\(x = 3\)

For what value of \(x\) will \(y\) be negative?

\(-\frac{1}{2} < x < 3\)