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Algebra
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18 Nov 2019

Simply, write answers with only positive exponents, assume all variables represent nonzero real numbers:

(-2x^3y^-4)^0(-3x^-4y^-5)^2

perform the indicated operations:

If P(x) = x^4-6x^3 + 5x - 3 FIND P(-2)


FACTOR:

dk + 3d - 7k -21

X^2+3x-2

Add or Subtract as indicated:

1/2k - 1/3k + 1/6k

y+6/2y^2+5y-12 + 5/6y-9

Perform the indicated operations:

y^2 - 36/y^2 -4 * y^2 +6y+8/y^2 -2y-24

w^2+2w/w^2-9 Divided by w^2+7w+10/w^2+8w+15

Solve for the variable B in this formula:

A = B + CD/BC +D

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Nestor Rutherford
Nestor RutherfordLv2
26 Mar 2019
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Related questions

For the best rating please complete by answering all thequestions in one post so I could rate you once you post.

Answers must be correct in order to get best rating.


1. Factor out the GCF from thepolynomial.
20m^9 + 6m^7 + 20m^5
2(10m^9 + 3m^7 +10m^5)
No common factor
m^5 (20m^4 + 6m^2 +20)
2m^5 (10m^4 + 3m^2 +10)


2. Find the solution to the system by addition(elimination) method.
4x + 15y = 15
8x - 3y = -3
(1, 0)
(0, 0)
(0, 1)
(1, 1)


3. (11p + 4)(11p - 4)
p^2 - 16
121p^2 + 88p - 16
121p^2 - 16
121p^2 - 88p -16


4. Find the solution to the system by addition(elimination) method.
2x + 15y = -91
9x + 5y = 28
(-5, 7)
(7, -7)
(9, -9)
(-7, 7)


5. Factor by grouping.
18x^3 + 15x^2 + 12x + 10
(3x^2 + 2)(6x + 5)
(18x^2 - 2)(x - 5)
(3x^2 - 2)(6x - 5)
x(18x + 2)(x +5)


6. (x + 3y)(x + 5y)
x^2 + 5xy + 15y^2
x^2 + 8xy + 8y^2
x^2 + 8xy + 15y^2
x + 8xy + 15y


7. 6x^7 (9x^7 + 12x^2 - 7)
54x^7 + 72x^2 - 42
54x^14 + 72x^9
54x^14 + 72x^9 -42x^7
54x^14 + 12x^2 -7


8. 15x^2 - 12x + 10x - 8
(15x + 2)(x - 4)
(15x - 2)(x + 4)
(3x - 2)(5x + 4)
(3x + 2)(5x -4)


9. For the polynomial, state the degree andwhether or not the polynomial is a monomial, a binomial, or atrinomial.
5x^3y^4 - 8x^5y^6 + 8
Binomial, degree 7
Trinomial, degree 3
Trinomial, degree18
Trinomial, degree11


10. (3x^8 + 2x^7 - 4x^6 + 8) + (7x^8 - 4x^7 +8x^6 + 1)
10x^8 - 2x^7 + 4x^6 +9
12x^42 + 9
10x^26 - 2x^14 + 4x^12 +9
4x^8 + 4x^7 + 4x^6 +9


11. (2n^5 - 3n^3 - 6) - (5n^5 - 14n^3 -3)
-3n^5 + 2n^3 - 9
-3n^5 + 11n^3 - 3
5n^8
-3n^5 + 11n^3 -9


12. Use the substitution method to solve thesystem.
x - 4y = -13
7x - 5y = -22
(1, 4)
(-2, 4)
(-1, 3)
No solution


13. Use the substitution method to solve thesystem.
8x - 6y = 32
2x - 2y = 8
(3, 1)
(4, 1)
(4, 0)
No solution


14. Terms in a polynomial are separated byaddition or subtraction.
True
False


15. A polynomial is an algebraic expression ofone or more terms.
True
False


16. A solution of two linear equations in twovariables is an ordered pair that is a solution to eachequation.
True
False


17. The greatest common factor will always begreater than the largest factor of each term of theexpression.
True
False


18. A system of equations in two variables mayhave infinite solutions.
True
False


19. When two or more algebraic expressions aremultiplied, each expression is called a term.
True
False


20. Factoring is multiplication inreverse.
True
False

I need help with these as soon as possible Please. Thank You!!

Q15. In 1990, the population of a country was estimated at 4 million. For any subsequent year the population, P(t) (in millions), can be modeled by the equation P(t) = 240/(5 + 54.99e-0.0208t), where t is the number of years since 1990. Estimate the year when the population will be 21 million.
a. approximately the year 2093
b. approximately the year 2041
c. approximately the year 2088
d. approximately the year 2016

Q18. A size 6 dress in Country C is size 52 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = 2(x + 20). Find a formula for the inverse of the function described.
a. f -1(x) = (x - 20)/2
b. f -1(x) = x - 20
c. f -1(x) = (x/2) - 20
d. f -1(x) = (x/2) + 20

Q19. If f(x) = 4x and g(x) = 12, find the point of intersection of the graphs of f and g by solving f(x) = g(x). Give an exact answer.
a. (log 4 12, 12)
b. (log 4 12, 4)
c. (log 4 12, 0)
d. (12, 12)

Q20. Find functions f and g so that f รขยˆย˜ g = H(x) = (5 - 2x3)2.
a. f(x) = 5 - 2x3 ; g(x) = x2
b. f(x) = (5 - 2x)3 ; g(x) = x2
c. f(x) = x2 ; g(x) = 5 - 2x3
d. f(x) = x3 ; g(x) = (5 - 2x)2

Q29. Solve the system of equations using Cramer's Rule if it is applicable.


a. x = 9, y = 2, z = 5; (9, 2, 5)
b. x = 8, y = 4, z = 5; (8, 4, 5)
c. x = 4, y = 5, z = 4; (4, 5, 4)
d. x = 8, y = -4, z = -5; (8, -4, -5)

Q30. Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.


a. x = 2, y = 3, z = -7; (2, 3, -7)
b. x = 1, y = 3, z = -4; (1, 3, -4)
c. x = 5, y = 13/2, z = -3; (5, 13/2, -3)
d. x = 1, y = -3, z = -16; (1, -3, -16)

Q33. Write the partial fraction decomposition of the rational expression (4x3 + 4x2)/(x2 + 5)2.
a. (4x - 4)/(x2 + 5) + (-20x + 20)/(x2 + 5)2
b. (4x + 4)/(x2 + 5) + (-20x - 20)/(x2 + 5)2
c. (4x + 4)/(x2 + 5) + (20x - 20)/(x2 + 5)2
d. (4x + 4)/(x2 + 5) + (20x + 20)/(x2 + 5)2

Q34. Solve the linear programming problem. Minimize z = 11x + 6y + 7 subject to: x = 0, y = 0, x + y = 1.
a. minimum: 7
b. minimum: 18
c. minimum: 24
d. minimum: 13

Q35. Solve the system of equations by elimination.


a. x = 10, y = 0; (10, 0)
b. x = 10, y = 10; (10, 10)
c. x = 0, y = 10; (0, 10)
d. x = 0, y = 0; (0, 0)

Q36. Perform the row operations on the given augmented matrix.


a.
b.
c.
d.

Q37. Solve the system of equations using Cramer's Rule if it is applicable.


a. x = -4, y = 3; (-4, 3)
b. x = -3, y = -4; (-3, -4)
c. x = 4, y = 3; (4, 3)
d. x = 3, y = 4; (3, 4)

Q38. Write the partial fraction decomposition of the rational expression x/(x2 - 9x + 20).
a. -4/(x - 4) + 5/(x - 5)
b. -5/(x - 4) + 4/(x - 5)
c. 4/(x - 4) + -5/(x - 5)
d. -4/(x - 4) + -5/(x - 5)

Q39. Solve the system of equations.


a. x = -4, y = 4, z = -3; (-4, 4, -3)
b. x = -3, y = 4, z = -4; (-3, 4, -4)
c. x = -4, y = -3, z = 4; (-4, -3, 4)
d. inconsistent

Q40. Find the value of the determinant.


a. 224
b. 24
c. -72
d. 72

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