PLS HELP HOMEWORK. Complete the function table. Then write a rule for the function. Explain

Mathematics

1 answer:

Dmitry [639]3 years ago

5 0

Hey there! :D

Something I see with (1,-1) and (-2,-4) is that the output is 2 less than the input.

Function rule: Ouput= Input-2

Or, y=x-2

The remainder points:

(-3,-5)

(-1, -3)

(0,-2)

I hope this helps!
~kaikers

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olga_2 [115]

(5,3) is your answer to the problem your welcome

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2 years ago

If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by

PIT_PIT [208]

Answer:

The family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

$\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}$ (1)

Where:

$\theta$ - Angle between vectors, in sexagesimal degrees.

$\|\vec a\|, \|\vec b \|$ - Norms of vectors $\vec {a}$ and $\vec{b}$

If $\theta$ is acute, then the cosine function is bounded between 0 a 1 and if we know that $\vec {a} = (p, 3, -7)$ and $\vec {b} = (p, -p, 4)$ , then the possible values for $p$ are: