Patel’s weekly salary includes a base pay plus commission on his sales. The equation S = 750 + 0.09 c models the relation between his weekly salary, S , in dollars and the amount of his sales, c , in dollars. (a) Find Patel’s salary for a week when his sales were 0. (b) Find Patel’s salary for a week when his sales were 18,540. (c) Interpret the slope and S -intercept of the equation. (d) Graph the equation.
Patel’s weekly salary includes a base pay plus commission on his sales. The equation S = 750 + 0.09 c models the relation between his weekly salary, S , in dollars and the amount of his sales, c , in dollars. (a) Find Patel’s salary for a week when his sales were 0. (b) Find Patel’s salary for a week when his sales were 18,540. (c) Interpret the slope and S -intercept of the equation. (d) Graph the equation.
Patel’s weekly salary includes a base pay plus commission on his sales. The equation
S
=
750
+
0.09
c
models the relation between his weekly salary, S, in dollars and the amount of his sales, c, in dollars.
(a) Find Patel’s salary for a week when his sales were 0.
(b) Find Patel’s salary for a week when his sales were 18,540.
(c) Interpret the slope and S-intercept of the equation.
Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Select the best statement.
A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors
are distinct.
n
B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0
excluded spans Rª.
○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n
vectors.
○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors
spans Rn.
E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn.
F. none of the above
Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
University Calculus: Early Transcendentals (4th Edition)
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