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Tasya [4]
2 years ago
9

Solve for all values of p: ​

Mathematics
1 answer:
Alchen [17]2 years ago
3 0

Answer:

p = - 5, p = - 1

Step-by-step explanation:

Given

\frac{3p}{p-5} - \frac{2}{p+3} = \frac{p}{p+3}

Multiply through by the LCM of (p - 5)(p + 3)

3p(p + 3) - 2(p - 5) = p(p - 5) ← distribute parenthesis

3p² + 9p - 2p + 10 = p² - 5p

3p² + 7p + 10 = p² - 5p ( subtract p² - 5p from both sides )

2p² + 12p + 10 = 0 ← divide through by 2

p² + 6p + 5 = 0 ← in standard form

(p + 1)(p + 5) = 0 ← in factored form

Equate each factor to zero and solve for p

p + 1 = 0 ⇒ p = - 1

p + 5 = 0 ⇒ p = - 5

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There would be 2 children and 9 adults

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6 0
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4 0
3 years ago
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What is an equation of the line that contains the point (3,1) and (6,0)?
k0ka [10]
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7 0
3 years ago
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5 -2x + 6y= -38<br> ? 3x – 4y = 32<br> •(-4, - 5)<br> •(-5, 4)<br> •(1, – 6)<br> (4, - 5)
Svet_ta [14]

Answer:

Option D (4, -5)

Step-by-step explanation:

This question can be solved by various methods. I will be using the hit and trial method. I will plug in all the options in the both the given equations and see if they  balance simultaneously.

Checking Option 1 by plugging (-4, -5) in the first equation:

-2(-4) + 6(-5) = -38 implies 8 - 30 = -38 (not true).

Checking Option 2 by plugging (-5, 4) in the first equation:

-2(-5) + 6(4) = -38 implies 10 + 24 = -38 (not true).

Checking Option 3 by plugging (1, -6) in the second equation:

3(1) - 4(-6) = 32 implies 3 + 24 = 32 (not true).

Since all the options except Option 4 have been ruled out, therefore, (4,-5) is the correct answer!!!

7 0
3 years ago
I've been looking in the study guide but can't find how to solve it
OLga [1]
The answer is -1/16 or -0.0625, do you need to see work?
6 0
3 years ago
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