15 points attached photo
the tables represent the functions f(x) and g(x).

a table with 2 columns and 7 rows. the first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. the second row, f(x), has the entries, negative 5, negative 3, negative 1, 1, 3, 5. a table with 2 columns and 7 rows. the first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. the second row, g(x), has the entries, negative 13, negative 9, negative 5, negative 1, 3, 7.
which input value produces the same output value for the two functions?

x = –3
x = –1
x = 0
x = 1

The input "1" produces the same output for the two functions

Step-by-step explanation:

We go through the data in the tables looking from a common input value that has the SAME associated output value for both functions.

We find (see attached image) that the input value "1" (highlighted with a green border in the image) is associated with the SAME output value "3" (highlighted with an orange circle) for both functions.

Therefore, both functions have the same output for the input "1".

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

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step-by-step explanation: