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Pachacha [2.7K]
3 years ago
11

1. ) Some number was added to 7.4. This sum was then divided by 18. Finally, the quotient was multiplied by 6. The product was 6

. What was the number? _____________
Mathematics
1 answer:
Mumz [18]3 years ago
4 0

Answer:

We have [ ( x + 7.4 ) ÷ 18 ] x 6 = 6;

Then,  ( x + 7.4 ) ÷ 18 = 1;

x + 7.4 = 18;

x = 10.6;

Step-by-step explanation:


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Answer:

f = - 1

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f - 6 = f + 8

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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}

The critical point is -\frac{5}{2}.

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.

Lastly, we find the remaining component associated with the critical point by direct evaluation of the function:

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}

There are relative maxima.

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