- Write the equation of the line that passes through (7,-4) and (-1,-2) in slope-intercept form. y=-(1)/(4)x-(9)/(4) y=(1)/(4)x-(7)/(4) y=-(1)/(4)x-(7)/(4) y=-4x-6
- Example 4 Tim borrows 5300 at 4.6% /a compounded annually. How much will he have to pay back if he borrows the money for 10 years?
- A trinket company has a warehouse that contains 50,000 trinkets. At the end of each day, a truck picks up 4, 000 trinkets to deliver to the trinket store. When the warehouse drops below 15,000 trinkets, the company will begin producing more trinkets to restore the inventory. 1) Write an equation for the number of trinkets T in the factory after D days. 2) After how many days will the factory begin producing trinkets? 2) The factory will produce trinkets after 8(3)/(4) days. 2) The factory will produce trinkets after 9 days. 1) D=50000-4000T 2) The factory will produce trinkets after 8(3)/(4) days. 2) The factory will produce trinkets after 9 days.
- Describe the transformations of the function. 1. f(x)=4(x-3)^2+19 2. f(x)=(-2)/(3)x^2-25 __ __
- __ 9. After applying R_(2)arrow R_(2)-2R_(1) to A=(} 1&2 2&-1 ) we get A (} 1&2 2&-5 ) (} 1&2 0&-5 ) CI (} 1&4 2&-3 ) D (} 2&-1 1&2 ) __ 10. What is the solution set of system of linear equations, ) 2x+7y=-5 5x+11y=2 -(5)/(3),(25)/(21) B (69)/(13),-(29)/(13) (5)/(3),-(25)/(21) D -(69)/(13),(29)/(13) __ A=(} 1&2 2&3 ? 11. Suppose A/ (} 3&6 6&9 ) If X is a matrix such that (} 3&3 3&3 ) D then (} 3&1 1&3 ) __ 12. The Augmented matrix associated to the system of equations ) 2x+y+3z=4 x-z=1 -4x+y-3=0 A (} 3&2&1&1 -1&1&-1&3 -1&-4&1&4 ) __ 13. The inverse of the matrix (} 2&3 3&4 ) __ 3) is A (} -4&3 3&-2 ) B/( (} 4&-3 -3&2 ) Cl (} -2&3 3&-4 ) D/ (} -4&-3 -3&-2 ) __ 14. The dimension of the augmented matrix is 4times 6 The corresponding system of linear equations has how many variables and how many equations? A/ 4 variables, 6 equations B/6 variables, 4 equations C/5 variables, 4 equations D/6 variables, 3 equations __ 15. If A is a square matrix of order m, then the matrix B of the same order is called the inverse of the matrix A, if (Assume that I is an identity matrix of order m) A AB=A BA=A Cl AB=BA=1 AB=BA __ 16. If A is a 3times 3 matrix and det (A)=5 , then how much is det (2A^TA) A/100 B /200 C/50 D/20 __ 17. The solution set of the system of linear equation ) x+y+2z=4 2x+3y+3z=5 3x+3y+7z=14 is __ A (-1,1,2) B/ (1,2,3) CI (1,-1,2) D (2,1,-2) A=(} -3&2&5 1&1&4 2&1&0 ) is __ __ 18. The determinant of the matrix A A B/23 C/25 D -25 -23 __ 19. Let A = A=(} 1&-1&3 -2&0&2 4&5&-4 ) then the cofactor of 2 is __ (A) 1 (B) -1 (C) 9 (D) -9 __ 20. Which one of the following is true about the matrix. (} 1&3&5 6&4&2 9&7&0 ) ? A/ The minor of the entry 3 is 18. B/ The cofactor of the entry 5 is -6 C/ The minor of the entry 0 is 14. D/ The cofactor of the entry 1 is -14 2
