MATH 105 Quiz: MATH 105 KU 105 Quiz 2 ans

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turquoisegnu128

31 Jan 2019

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[i] (6pts) (1) (cid:16)x2 + 4x + 2(cid:17)2 (2) [iii] (2pts) (cid:16)x 1(cid:17)(cid:16)x + 1(cid:17)(cid:16)x2 + 1(cid:17)(cid:16)x4 + 1(cid:17) [iv] (6pts) (1) (cid:16)x2 2 x + 1(cid:17)(cid:16)x2 + 2 x + 1(cid:17)(cid:16)x4 1(cid:17) 2 x! (cid:16)x2 + 1(cid:17) + 2 x! (cid:16)x4 1(cid:17) = (cid:16)x4 + 2x2 + 1(cid:17) 2x2! (cid:16)x4 1(cid:17) = (cid:16)x4 + 1(cid:17)(cid:16)x4 1(cid:17) = x8 1. 2 (2) (cid:16)x 2 3(cid:17)(cid:16)x + 2 3(cid:17)(cid:16)x 2 + 3(cid:17)(cid:16)x + 2 + 3(cid:17) 2! (cid:16)x + 3(cid:17) + 2! = (cid:16)x2 + 1(cid:17) 2 3 x! (cid:16)x2 + 1(cid:17) + 2 3 x! = (cid:18)x4 + 2x2 + 1(cid:19) (cid:18)12x2(cid:19) = x4 10x2 + 1. [v] (4pts) (cid:16)x + 1(cid:17)(cid:16)x + 2(cid:17)(cid:16)x + 3(cid:17)(cid:16)x + 4(cid:17)(cid:16)x + 5(cid:17)(cid:16)x + 6(cid:17)(cid:16)x + 7(cid:17) 3 (row 0) (row 1) (row 2) (row 3) (row 4) (row 5) (row 6) (row 7)

Related Questions

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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

pucesalmon393

Find the derivative of the function and evaluate thederivative at the given x-value.

f(x) = 2x² at x = 1

A) f' (x) = 4x; f' (1) = 2
B) f ' (x) = 2x; f ' (1) = 2
C) f' (x) = 4x²; f' (1) = 4
D) f' (x) = 4x; f' (1) = 4

f(x) = 6x + 2; [-1, 2]

A) Absolute maximum: 12, absolute minimum: -6
B) Absolute maximum: -1, absolute minimum: 2
C) There are no absolute extrema.
D) Absolute maximum: 14, absolute minimum: -4

f(x) = (-5x + 7)⁴

A) f '(x) = -5(-5x + 7)³
B) f '(x) = -20(-5x + 7)⁴
C) f '(x) = 4(-5x + 7)³
D) f '(x) = -20(-5x + 7)³

A)
B)
C)
D)

A company estimates that the daily revenue (in dollars) from thesale of x cookies is given by

R(x) = 885 + 0.02x + 0.0003x²

Currently, the company sells 900 cookies perday.

Use marginal revenue to estimate the increase in revenueif the company increases sales by one cookie per day.

A) $92.00
B) $0.56
C) $56.00
D) $0.92

f(x) = -3 - 7x; [-3, 1]

A) Absolute maximum: -10, absolute minimum: -24
B) Absolute maximum: 18, absolute minimum: -10
C) There are no absolute extrema
D) Absolute maximum: 24, absolute minimum: -4

A)
B)
C)
D)

s(x) = -x² - 20x - 19

A) Relative maximum at ( -20, -19)
B) Relative maximum at ( 10, 81)
C) Relative maximum at ( -10, 81)
D) Relative minimum at ( 20, -19)

Differentiate.

f(x) = (5x + 4)²

A) f'(x) = 10(5x + 4)²
B) f'(x) = 5(5x + 4)
C) f'(x) = 2(5x + 4)
D) f'(x) = 10(5x + 4)

10.

Find the absolute maximum and absolute minimum values ofthe function, if they exist, over the indicated interval. When nointerval is specified, use the real line (-?, ?).

f(x) = -21; [ -7, 7]

A) Absolute maximum: 21, absolute minimum: 0
B) Absolute maximum: 21, absolute minimum: -21
C) Absolute maximum: -21, absolute minimum: -21
D) There are no absolute extrema.

11.

A)
B)
C)
D)

12.

f(x) = -6x² - 2x - 7

A) Relative maximum at
B) Relative maximum at
C) Relative maximum at
D) Relative maximum at

13.

f(x) = 0.2x² - 2.4x + 5.9

A) Relative minimum at ( 6, -1.3)
B) Relative maximum at ( 6, -1.3)
C) Relative minimum at ( -6, 27.5)
D) Relative minimum at ( 6, 0)

14.

A grocery store estimates that the weekly profit (in dollars)from the production and sale of x cases of soup is given by