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larisa [96]
3 years ago
14

Hi can anyone help me with this question without the use of calculators please?

Mathematics
1 answer:
Volgvan3 years ago
5 0

Answer:

\frac{11}{6} units

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

6x² - 7x - 3 = 0 ← in standard form

(3x + 1)(2x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - \frac{1}{3}

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

Find the difference of the 2 x- intercepts using absolute value

distance = | \frac{3}{2} - (- \frac{1}{3} ) | = | \frac{3}{2} + \frac{1}{3} | = | \frac{11}{6} | = \frac{11}{6}

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