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3 years ago

Select the correct answer. What is the solution for p in the equation?

Mathematics

2 answers:

ASHA 777 [7]3 years ago

7 0

Step-by-step explanation:

$\frac{1}{3} p + \frac{1}{2} p + 7 = \frac{7}{6} p + 5 + 4 \\ \\ \therefore \: \frac{1}{3} p + \frac{1}{2} p - \frac{7}{6} p = 9 - 7 \\ \\ \bigg( \frac{1}{3} + \frac{1}{2} - \frac{7}{6} \bigg) p= 2 \\ \\ \therefore \: \bigg( \frac{2}{6} + \frac{3}{6} - \frac{7}{6} \bigg) p= 2 \\ \\ \therefore \: \bigg( \frac{2 + 3 - 7}{6} \bigg) p= 2 \\ \\ \therefore \: \bigg( \frac{5- 7}{6} \bigg) p= 2 \\ \\ \therefore \: \bigg( \frac{-2}{6} \bigg) p= 2 \\ \\ \therefore \:p = 2 \times \frac{6}{-2} \\ \\ \: \: \: \: \: \: \: \huge \red{ \boxed{ \therefore \:p = - 6}}$

Evgesh-ka [11]3 years ago

5 0

Answer:

Step-by-step explanation:

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3 years ago

(a) What is wrong with the following equation? x2 + x − 42 x − 6 = x + 7 (x − 6)(x + 7) ≠ x2 + x − 42 The left-hand side is not

jeka94

Answer:

Attached please find answer

Step-by-step explanation:

= (x² + x - 42) / (x - 6)

= [x² + (7x - 6x) - 42] / (x - 6)

= [x² + 7x - 6x - 42] / (x - 6)

= [(x² + 7x) - (6x + 42)] / (x - 6)

= [x(x + 7) - 6(x + 7)] / (x - 6)

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Other method:

Lim (x² + x - 42) / (x - 6)

x→ 6

When x → 6, there is an indeterminate expression because: 6 - 6 = 0

Do you know the l'Hôpital's rule, when x → a:

Lim [ f(x) / g(x) ] = Lim [ f'(x) / g'(x) ]

f(x) = x² + x - 42

f'(x) = 2x + 1

g(x) = x - 6

g'(x) = 1

= f'(x) / g'(x)

= (2x + 1)/1

= 2x + 1 → when x approches 6

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