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Ivan
3 years ago
11

Given the function f(x)=5x−6 find f(4).

Mathematics
2 answers:
Virty [35]3 years ago
8 0

Answer:

f(4) = 14

Step-by-step explanation:

f(x) = 5x -6

f(4) = 5(4) - 6

f(4) = 20 - 6

f(4) = 14

goldenfox [79]3 years ago
6 0

Answer:

f(4)=14

Step-by-step explanation:

f(x)=5x-6

f(4)=5(4)-6

f(4)=20-6

f(4)=14

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Step-by-step explanation:

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3 years ago
Find the vector that has the same direction as 3, 2, −6 but has length 2.
Nata [24]

Answer:

The vector is \vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right).

Step-by-step explanation:

We can determine the equivalent vector (\vec r), dimensionless, by means of the following formula:

\vec r = \frac{\vec u}{\|\vec u\|} \cdot \|\vec r\| (1)

Where:

\vec u - Original vector, dimensionless.

\|\vec u\| - Norm of the original vector, dimensionless.

\|\vec r\| - Norm of the new vector, dimensionless.

The norm of the original vector is determined by the following definition:

\|\vec u\| = \sqrt{\vec u\,\bullet \,\vec u} (2)

If we know that \vec u = (3, 2, -6), then the norm of the original vector is:

\|\vec u\| = \sqrt{(3)\cdot (3)+(2)\cdot (2)+(-6)\cdot (-6)}

\|\vec u\| = 7

If we know that \|\vec r\| = 2, then the new vector is:

\vec r = \frac{2}{7}\cdot (3,2,-6)

\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)

The vector is \vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right).

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3 years ago
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Step-by-step explanation:

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Answer:

The solution is attached below:

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3 years ago
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