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4 years ago

13/25 divided by 13/35

Mathematics

1 answer:

DiKsa [7]4 years ago

3 0

Answer:

$\frac{7}{5}$

Step-by-step explanation:

To divide fractions, flip, then multiply:

$\frac{13}{25} \div \frac{13}{35} = \frac{13}{25} \times \frac{35}{13}$

To multiply fractions, divide the product of the numerators by the product of the denominators.

$\frac{13}{25} \times \frac{35}{13} = \frac{13 \times 35}{25 \times 13} = \frac{455}{325} = \frac{7}{5}$

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Step-by-step explanation:

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4 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an answer does not exist, enter

Lapatulllka [165]

Answer:

Relative minimum: $\left(-\frac{5}{2}, -\frac{33}{4}\right)$ , Relative maximum: $DNE$

Step-by-step explanation:

First, we obtain the First and Second Derivatives of the polynomic function:

First Derivative

$f'(x) = 2\cdot x + 5$ (1)

Second Derivative

$f''(x) = 2$ (2)

Now, we proceed with the First Derivative Test on (1):

$2\cdot x + 5 = 0$

$x = -\frac{5}{2}$

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As the second derivative is a constant function, we know that critical point leads to a minimum by Second Derivative Test, since $f\left(-\frac{5}{2}\right) > 0$ .

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$f\left(-\frac{5}{2} \right) = \left(-\frac{5}{2} \right)^{2} + 5\cdot \left(-\frac{5}{2} \right) - 2$

$f\left(-\frac{5}{2} \right) = -\frac{33}{4}$

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