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slega [8]
3 years ago
8

If n = 2 + 6m and p = 2/n, what is the value of p when m = -1/2?

Mathematics
1 answer:
artcher [175]3 years ago
8 0

Answer:

p = - 2

Step-by-step explanation:

Given

n = 2 + 6m ← substitute m = - \frac{1}{2} into the expression

n = 2 + 6(- \frac{1}{2} ) = 2 - 3 = - 1

Thus

p = \frac{2}{n} = \frac{2}{-1} = - 2

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Coefficients: 8

Constants: 2

Variables: m and n

Step-by-step explanation:

Sarah had made no errors-

A number on its own is called a Constant.

A coefficient is a number used to multiply a variable.

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2 years ago
Find two positive real numbers whose product is a maximum. the sum is 80
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Let's say the numbers are "a" and "b"

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\begin{cases}
a+b=80\\
b=80-a
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-----------------------------\\\\
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3 years ago
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What is the following quotient? StartFraction RootIndex 3 StartRoot 60 EndRoot Over RootIndex 3 StartRoot 20 EndRoot EndFraction
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Answer:

\sqrt[3]{3}

Step-by-step explanation:

We are required to simplify the quotient: \dfrac{\sqrt[3]{60} }{\sqrt[3]{20}}

Since the <u>numerator and denominator both have the same root index</u>, we can therefore say:

\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}} =\sqrt[3]{\dfrac{60} {20}}

=\sqrt[3]{3}

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A bag contains 20 slips of paper Individually numbered. If a slip of paper and a letter in the word PENNSYLVANIA is chosen at ra
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Answer:

P(M4\ n\ V) = 2.083\%

Step-by-step explanation:

Given

Paper = 20 slips

Word: PENNSYLVANIA

Required

Determine P(Multiple of 4 and V)

The sample size of the 20 slips is:

n(S) = 20

The outcomes of multiples of 4 is:

M4= \{4,8,12,16,20\}

n(M4) = 5

So, the probability of multiples of 4 is:

Pr(M4) = \frac{5}{20}

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The sample size of PENNSYLVANIA is:

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The outcome of V is:

n(V) = 1

So, the probability of V is:

P(V) = \frac{1}{12}

So, the required probability is: P(Multiple of 4 and V)

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P(M4\ n\ V) = \frac{1}{48}

P(M4\ n\ V) = 0.02083

Express as percentage

P(M4\ n\ V) = 0.02083 * 100\%

P(M4\ n\ V) = 2.083\%

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3 years ago
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