Are these two functions inverses of each other?
How would you solve for one of these?
f(n)=2(n-2)3
g(n)=4+cube root of 4n divided by 2
In: Math
In: Math
Solve the system of equations
x?2y?z?2t=1
3x?5y?2z?3t=2
2x?5y?2z?5t=3
?x+4y+4z+11t= ?1
Using Gauss-Jordan to Solve a System
In: Math
Discuss understanding how to express quadratic functions to standard forms and graphing polynomial functions
In: Math
For the following matrices, first find a basis for the column space of the matrix. Then use the Gram-Schmidt process to find an orthogonal basis for the column space. Finally, scale the vectors of the orthogonal basis to find an orthonormal basis for the column space.
(a) [1 1 1, 1 0 2, 3 1 0, 0 0 4 ] b) [?1 6 6, 3 ?8 3, 1 ?2 6, 1 ?4 ?3 ]
In: Math
In: Math
This exercise is designed to be solved using technology such as
calculators or computer spreadsheets.
You borrow $18,000 with a term of four years at an APR of 8%. Make
an amortization table. How much equity have you built up halfway
through the term? (Round your answer to two decimal places.)
In: Math
In: Math
National Business Machines manufactures two models of fax machines: A and B. Each model A costs $100 to make, and each model B costs $140. The profits are $28 for each model A and $41 for each model B fax machine. If the total number of fax machines demanded per month does not exceed 2800 and the company has earmarked no more than $560,000/month for manufacturing costs, how many units of each model should National make each month in order to maximize its monthly profit?
| model A | units |
| model B | units |
What is the optimal profit?
$
In: Math
solve by determinants
a.x+y+z=0
3x-y+2z=-1
2x+3y+3z=-5
b. x+2z=1
2x-3y=3
y+z=1
c. x+y+z=10
3x-y=0
3y-2z=-3
d. -8x+5z=-19
-7x+5y=4
-2y+3z=3
e. -x+2y+z-5=0
3x-y-z+7=0
-2x+4y+2z-10=0
f. 1/x+1/y+1/z=12
4/x-3/y=0
2/y-1/z=3
In: Math
Prove that each point has exactly 1 polar in Desargues' configuration.
In: Math
In the daily Play 4, players select a number between 0000 and 9999. The lottery machine
contains 4 bins, each with 10 ping-pong balls. Each bin has its ping-pong balls labeled
0, 1, 2, . . . , 9. The state then “randomly” selects a ball from each bin and forms a number
between 0000 and 9999. WHAT IS THE PROBABLITIY OF WINNING PLEASE TYPE
In: Math
Describe the process of solving an exponential equation. Give two examples.
In: Math
In: Math
147 cars were sold during the month of April. 81 had air conditioning and 82 had automatic transmission. 54 had air conditioning only, 55 had automatic transmission only, and 11 had neither of these extras. What is the probability that a randomly selected car had automatic transmission or air conditioning or both?
0.1837
b) 0.9252
c) 0.7415
d) 0.5578
e) 0.1985
f) None of the above.
In: Math