What is the y-intercept of each function? f(x)=7(-x+3)

21

Step-by-step explanation:

You have to distribute the 7 in this case:

f(x) = 7(-x + 3)

f(x) = -7x + 21

The y-intercept is the number without the x with it. So, with this function it is 21.

I hope this helps!!

- Kay :)

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