Write a system of linear equations in three variables, and then use matrices to solve the system.There were approximately 100,000 vehicles sold at a particular dealership last year. The dealer tracks sales by age group for marketing purposes. The percentage of 36- to 59-year-old buyers and the percentage of buyers 60 and older combined exceeds the percentage of buyers 35 and younger by 38%. If the percentage of buyers in the oldest group is doubled, it is 18% less than the percentage of users in the middle group. Find the percentage of buyers in each of the three age groups.
A. 31% 35 and younger; 52% 36-59 year olds; 17% 60 and older
B. 33% 35 and younger; 49% 36-59 year olds; 18% 60 and older
C. 17% 35 and younger; 52% 36-59 year olds; 31% 60 and older
D. 25% 35 and younger; 54% 36-59 year olds; 21% 60 and older
Answer: A
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Find the general solution of the differential equation. Use C, C1, C2, . . . to denote arbitrary constants. If used, do not simplify hyperbolic functions.p'(x) = - 7 + 14x6
A. p = - - 7x + 2x7 + C
B. p = - 7 + 2x7 + C
C. p = - - 7x - 2x7 + C
D. p = - + 7x - 2x7 + C
Solve for x using an equivalent exponential expression.log64 x =
A. 64
B. 16
C.
D. 4
Match the system of equations with one of the graphs.y2 - 5y = x - 4xy = 7
A.
B.
C.
D.
Find the vertex, focus, and directrix of the parabola. Graph the parabola.x2 - 8x + 4y + 28 = 0
A. vertex: (4, -3)
focus: (5, -3)
directrix: x = 3
B. vertex: (4, -3)
focus: (3, -3)
directrix: x = 5
C. vertex: (4, 3)
focus: (4, 2)
directrix: y = 4
D. vertex: (4, -3)
focus: (4, -4)
directrix: y = -2