Provide an appropriate response.In factoring a trinomial in y as (y + a)(y + b), what must be true of a and b, if the coefficient of the last term of the trinomial is positive?
What will be an ideal response?
The numbers a and b must have the same sign (both positive or both negative).
Mathematics
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Doris invested some money at 7% and some money at 8%. She invested $4,000 more at 8% than she did at 7%. Her total yearly interest from the two investments was $470. How much did Doris invest at each rate?
A. $100 at 7%, $4,900 at 8% B. $2,000 at 7%, $5,000 at 8% C. $1,000 at 7%, $6,000 at 8% D. $1,000 at 7%, $5,000 at 8% E. $1,500 at 7%, $4,500 at 8%
Mathematics
Find the Jacobian of the transformation.
x = 7?sin?, y = 6?cos?
Mathematics
Simplify, where possible.7(7a - 4)
A. 49a - 4 B. 49a - 28 C. -196a D. 7a - 28
Mathematics
Find the sum Sn of the first n terms of the geometric sequence. 
, 
, 
, . . . ; n = 5
A. 
B. 93
C. 
D. 
Mathematics