Find the intercepts for the graph of the equation.4x + y = 8
A. (8, -8) (4, 8)
B. (2, 0) (0, 8)
C. (4, 0) (-8, 0)
D. (0, 4) (0, -8)
Answer: B
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Find the vector projv u.v = 2i - 2j - 4k, u = 5i - 12k
A. i -
j -
k
B. i -
k
C. i -
k
D. i -
j -
k
Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.
?
?
A. and
; saddle point:
; relative maximum value:
?
B. and
; relative minimum:
; relative maximum value:
C. and
; saddle point:
; relative minimum value:
?
D. there are no critical points
Use order of operations to simplify the expression.-7 +
A. 2 B. 16 C. 8 D. -6
Solve the problem.Roberto invested some money at 8%, and then invested $2000 more than twice this amount at 12%. His total annual income from the two investments was $5040. How much was invested at 12%?
A. $32,000 B. $6000 C. $3200 D. $30,000