Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)
Answer:
f(-1) = 4
Step-by-step explanation:
See below for the synthetic division tableau. The remainder is 4, hence ...
f(-1) = 4
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IMO, in this function it is far easier just to substitute -1 for x. Since the only terms are of even degree, the value of f(-1) is the sum of the coefficients:
f(-1) = -1 +1 +4
f(-1) = 4
Answer:
1,114 people
Step-by-step explanation:
The equation
is the equation of the regression line that predicts the number of people attending a county fair, where x is the number of years after 2000.
To find the number of people that are expected to attend the fair in 2026, we determine how many years have passed and substitute into the equation.
From 2000 to 2026,

have passed.
The expected number who will attend the fair in 2026 is


To the nearest whole number 1,114 people will attend in 2026