Algebra Questions

Given a function h x x 1 102001 sau longo HOY 20offerti gaivallot A Write an equation of the line that represents the linear approximation to h x at x 1 1201 B Use the equation you found in part A to estimate h 1 1 C Calculate the percent error in above approximation D Approximate the change in h x when x changes from 3 to 3 1

Listen Write an equation for the nth term of the arithmetic sequence 9 6 3 0 Then find a 50 An equation is an Ard 0

9 3 7 6 7r 11 3 5 3 10 4 28x 7x 12 2 5 6 2

1 3 12 6 3 6 6 2 5 10 4 5 4 20

5 4 15 3 7 15n 10n 3 6 20x 20x 8 18a 4 3a

3 3 2 6 14 3 5 10

2 5 3 45

Subtract 23 6 162

In this problem x 0 3 4x5 32x5

3 108 2 32

2 5 31 12 21 20

2 54 2 24

3 18 3 2

Advanced Polynomial Multiplication Find each product 1 5x 2 3 A 25x 20x 4 C 25x 4 3 2n 5 2n 5 A 9n 64 C 4n 20n 25 5 0 6n 2 2 0 6n 2 2 A 0 25n 47 61 B 0 36n 2 64n 4 84 C 0 36n 4 84 D 0 25n 6 9n 47 61 B 25x 2 4 D 5x 4 B 36n 4 D 4n 25 2 2 7n 1 7n 1 6 A 64 96n 36n B 49n 14n 1 C 64 36n D 49n 1 44 3 6a 1 8 A 3 6a 3 24 B 12 96a 3 24 C 12 96a 12 96a 3 24 D 12 96a 3 24 6 0 8n 0 3 A 0 64n 0 09 B 0 64n 0 48n 0 09 C 20 25n 70 2n 60 84 D 0 64n 0 09

Advanced Polynomial Multiplication Find each product 1 5x 2 3 A 25x 20x 4 C 25x 4 3 2n 5 2n 5 A 9n 64 C 4n 20n 25 5 0 6n 2 2 0 6n 2 2 A 0 25n 47 61 B 0 36n 2 64n 4 84 C 0 36n 4 84 D 0 25n 6 9n 47 61 B 25x 2 4 D 5x 4 B 36n 4 D 4n 25 2 2 7n 1 7n 1 6 A 64 96n 36n B 49n 14n 1 C 64 36n D 49n 1 44 3 6a 1 8 A 3 6a 3 24 B 12 96a 3 24 C 12 96a 12 96a 3 24 D 12 96a 3 24 6 0 8n 0 3 A 0 64n 0 09 B 0 64n 0 48n 0 09 C 20 25n 70 2n 60 84 D 0 64n 0 09

B A x C x D 5 x x 2 6 12x 8x 16 9 3x x 8 2 2x 3x x 1 9 2x 4 3x 5 A 6x 22x 20 B 6x 20 C 6x 2x 20 D 6x 2x 20 1 11 2p 5p 3 5p 2 A 56p 4p 4p 8 B 10p 21p 5p 6 C 7p 31p 16p 20 D 10p 19p p 35 8 10 8 6a 7 2a 7 A 12a 56a 49 B 12a 49 C 12a 28a 49 D 12a 56a 49 10 7v 7v 2 7v 3 A 16v 20v 58v 16 B 25v 55v 34v 16 C 49v 28v 7v 6 D 56v 11v 12v 9 12 12 A B C D P p 5p 85p 10 3 18 3 5p 10 3 3 5 10 18 3 15p 107p 18 5 2 3P P 0 22

2022 Kuta Software LLC All rights reserved Multiply Polynomials Find each product 1 2n 2 n 3 A 2n 6 B 2n 4n 6 C 14n 24 D 14n 62n 24 3 7x 8 2x 3 A 6x 31x 30 B 14x 24 C 14x 5x 24 D 14x 37x 24 5 8x 4 6x x 4 A 21x 38x 41x 6 B 7x 14x 4x 3 C 20x 34x 26x 4 D 48x 32x 28x 16 7 2k 8 6k 5k 8 A 12k 38k 24k 64 B 12k 34k 30k 8 C 10k 44k 12k 16 D 25k 48 34k 9 7b b 4 3b 4b 1 A 21b4 25b b 17b 4 B 21b 4b 4 C 16b4 20b 34b 8b 5 D 1264326 76 36b 15 2 4 6 8 10 2 2n 5 8n 2 A 16n 36n 10 B 28n 45n 18 C 28n 3n 18 D 28 18 4 n 4 2n 7 A 2n n 28 B 2n 28 C 2n 15n 28 D 2n 15n 28 6 8k 7 4k 2k 2 A 42k 78k 60k 24 B 16k 34k k 35 C k 11k 23k 3 D 32k 12k 30k 14 8 8b 3 8b 5b 8 8 A 6b 5b 24b 7 B 216 34b 2b 8 C 86 33b 3b 4 D 64b 64b 49b 24 10 7b 6b 7 6b 8b 5 A 16b4 54b 92b 54b 40 B 1664 18b 40 C 4264 92b 125b 86b 35 D 1664 42b 56b 6b 40

Find the LU factorization of 2 2 2 12 15 14 4 13 16 That is write A LU where L is a lower triangular matrix with ones on the diagonal and U is an upper triangular matrix A 5 25 A 10

B P C B 11 6 8 Prove that ZPAB ZPCB and then use similar triangles to conclude AC PC

3 Use the sum of the first ten terms to approximate the sum of the series n 2 16 Hint Use trigonometric substitution Round your answers to three decimal places sum X error n 2 1 Estimate the error by taking the average of the upper and lower bounds given by Theorer

Using P t Poekt suppose that 5000 is invested in a savings account where interest is compounde continuously at 2 5 per year You may utilize your calculator to find answers show the work to g there algebraically a Find the exponential equation that models this scenario b What is the balance after 1 year 2 years How long will it take for the original investment to double

Question 2 sec 0 5 where is in Quadrant III G Use the given information about to find the exact value of tan 2

Find the remainder of 6102 divided by 101 Reduce 8 00 mod 29 Find the remainder of 11666 divided by 13

Determine by inspection whether the given set of vectors is linearly dependent of independent Do NOT perform row reductions of a matrix Justify your answer 4 22 3

2 Are 6b and 6b3 like terms Why or why not 3 Are 5ab and 4ac like terms Why or why not 4 Are 5 and 10 like terms Why or why not

27 10 1 9x 6 x 10 29 3 10b 10 5 b 2 28 5 2n 4 2 n 3 30 7 n 3 8 1 8n

26 9 6m 3 6 1 4m

Simplify each expression 1 6k 7k 3 n 10 9n 3 5 r 10r 7 11r 12r TIS 2 12r 8 12 4 4x 10x 6 2x 11 6x 8 v 12v Date

15 n 4 9 17 3x 9 15x 19 16n 14n 21 4 7 1 3m 16 4n n 18 9k 8k 20 15n 19n 22 5n 3 6 7n

4 Are 5 and 10 like terms Why or why not

23 2n 9 10n 25 9a 10 6a 1 27 10 1 9x 6 x 10 29 3 10b 10 5 b 2 24 10 5 9n 9 26 9 6m 3 6 1 4m 28 5 2n 4 2 n 3 30 7 n 3 8 1 8n

9 8x 11x 11 5n 11n 13 12r 5 3r 5 10 4p 2p 12 n 4 9 5n 14 5 9n 6

5 Amy has 50 books 2 of her books are non fiction How many non fiction books does she 5 have 20

6 A fruit basket contains 5 apples 19 pears and 6 bananas What percentage of the fruit is a banana

3 Are 5ab and 4ac like terms Why or why not

2 Are 6b and 6b like terms Why or why not

1 Are 4b and 8b like terms Why or why not

Determine whether B is the inverse of A A 4 3 5 4 O Yes O No B 4 3 54 Is B the multiplicative inverse of A

For each of the following series tell whether or not you can apply the 3 condition test i e the alternating series test Enter D if the series diverges by this test C if the series converges by this test and N if you cannot apply this test even if you know how the series behaves by some other test 1 n 1 n 7 1 cos n n 2 18W18W18W18W18W 3 4 5 6 1 n5 1 n 2n n 1 1 n 1 n 1 1 n 0 1 en

According to 2010 U S census the population of Fort Pierce was 41 797 The 2020 U S census found that the population of Fort Pierce had grown to 46 608 Use the exponential growth model Y Yekt where t is the number of years after 2010 to write an exponential growth function for the city of Fort Pierce Round the growth constant k to four significant figures The exponential growth function that models the population of Fort Pierce is Use the population growth model to predict the population of Fort Pierce in year 2021 Round the solution to the nearest whole number The model predicts that the population of Fort Pierce in 2021 will be Determine the year when model predicts the population of Fort Pierce will be 75 770 Round the solution to the nearest whole number According to the model the population of Fort Pierce will be 75 770 in the year

Fill in the blanks so that the resulting statements are true If A is an mxn matrix and B is an nxp matrix then AB is defined as an in matrix B matrix To find the product AB the number of nxp mxp nxm pxm nxn in matrix A must equal the number c

Find f x and g x such that h x fog x h x 4x 4 5 Choose the correct pair of functions O A f x x g x X 4 4 O B f x x5 g x 4x 4 O c f x 4x 4 g x x5 O D f x 4 g x x

Write the system of equations as a matrix equation AX B with A as the coefficient matrix of the system x 5y 29 6x 5y 1

a Give the order of the given matrix b If A a identify a31 and a13 if possible O A a31 OB Identify a 13 a The order of the given matrix in the form m xn is b Identify a31 Select the correct choice below and if necessary fill in the answer box to complete your choice Element does not exist a31 3 2 1 1 OA a13 O B Element a13 does not exist 9 6 Select the correct choice below and if necessary fill in the answer box to complete your choice

3 Use the parent function f x bx and transformation techniques to graph h x e x 1 2 Also indicate which transformation s is are applied Determine the domain range and horizontal asymptote of h Select all transformations that apply A Vertically stretch the graph of f by a factor of 2 B Horizontally stretch the graph of f by a factor of 2 C Shift the graph of f 2 units down D Horizontally compress the graph of f by a factor of 1 E Reflect the graph of f about the x axis F Reflect the graph of f about the y axis G Shift the graph of f 2 units up H Shift the graph of f 1 unit to the left 1 Vertically compress the graph of f by a factor of 1 J Shift the graph of f 1 unit to the right

Determine whether B is the inverse of A A 13 12 14 13 Yes O No B 13 12 14 13 Is B the multiplicative inverse of A

1 Find the exact value of the following logarithmic expression

For y f x 6x 5 x 3 and Ax 4 find a Ay for the given x and Ax values b dy f x dx c dy for the given x and Ax values a Ay Round to four decimal places as needed

Let C and C be two biased coins such that the probabilities of getting head in a single toss are and 13 respectively Suppose a is the number of heads that appear when C is tossed twice independently and suppose is the number of heads that appear when C is tossed twice independently Then probability that the roots of the quadratic polynomial x ax are real and equal is C 1 1 2 A 40 81 B 20 81 WIN 1 D 4

A polynomial has the following real zeros 2 crossing 3 touching and 7 crossing What is the smallest degree that the function can have 3 02 05