The functions f(x) and g(x) are described using the following equation and table:

f(x) = 4(1.02)x

x g(x)
-1 -4
0 6
1 8
2 10
which statement best compares the y-intercepts of f(x) and g(x)?

OPTION D.

Step-by-step explanation:

It is important to remember that, by definition, the graph of a function intersects the y-axis when the value of "x" is zero ().

So, given the table of the function g(x), you can observe that when , the output value is:

Therefore, you can determine that the graph of the function g(x) intersects the y-axis at  

Now, given the following function f(x):

You need to substitute into the function f(x) and then evaluate, in order to find the y-intercept.

Then, you get that this is:

Therefore, based on this you can conclude that  the y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

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