Solve the following LP problem using graphical solution method. MAX: 5 X1 + 3 X2 Subject to: 2 X1 − 1 X2 ≤ 2 6 X1 + 6 X2 ≥ 12 1 X1 + 3 X2 ≤ 5 X1, X2 ≥ 0
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Discuss understanding how to express quadratic functions to standard forms and graphing polynomial function. This is COLLEGE ALGEBRA.
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A principal of
$5500
is invested in an account paying an annual rate of
4%.
Find the amount in the account after
6
years if the account is compounded semiannually, quarterly, and monthly.
(a) The amount in the account after
6 years if the account is compounded semiannually is
$
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Find a fourth-degree polynomial in Z_2[y] whose roots are the four elements of the field Z_2[x]/(x^2+x+1).
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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
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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
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Discuss understanding how to express quadratic functions to standard forms and graphing polynomial functions
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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 ]
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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.)
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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
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Prove that each point has exactly 1 polar in Desargues' configuration.
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