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Alinara [238K]
1 year ago
15

Need help asap. Simplify the expression 6/c+4/c^2 show work

Mathematics
1 answer:
Zina [86]1 year ago
7 0

By taking a common denominator, we can find out that the simplified expression of the given expression is \frac{6c+4}{c^{2} } .

The given expression is -

\frac{6}{c}+\frac{4}{c^{2} } ---- (1)

We have to simplify the expression.

From equation (1), we have the given expression as -

\frac{6}{c}+\frac{4}{c^{2} }

Establishing common denominator c^{2}, we have

\frac{6c}{c^{2} }+\frac{4}{c^{2}}

Combining the numerator and common denominator, we have

\frac{6c+4}{c^{2} }

Thus, the simplified expression of the given expression is \frac{6c+4}{c^{2} } which is obtained by taking a common denominator.

To learn more about simplified expression visit brainly.com/question/22860327

#SPJ1

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find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive
wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

  • n = number of terms,
  • a = first term and
  • d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

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