Algebra Questions

To rationalize the denominator of 1 2 6 8 by what number should the numerator and denominator be multiplied The numerator and denominator should be multiplied by

Rationalize the denominator Simplify if possible 5 4 5 3 5 4 5 3

Rationalize the denominator 6 8 6 6 8 6 Simplify your answer Type an exact answer using radicals as needed Use integers or fractions for

Rationalize the denominator 3 3 7 45 45 Simplif you juor Tuno on avant apowIGE a radioola

Rationalize the denominator Assume that the variable is positive 12 p 12

Rationalize the denominator Assume all variables are positive 5 3 2

Rationalize the denominator 7 10 77

Click here to watch the video Rationalize the denominator If possible simplify the rationalized expression by dividing the numerator and denominator by th greatest common factor 1 11

Multiply and simplify 5 8 3 3 6 3 5 8 3 3 6 3 0

Multiply and simplify 2 2 7 7 2 5 7 2 2 7 7 2 5 7

Multiply and simplify 5 7 5 7

Add Assume all variables are greater than or equal to zero 9 3 64x 7 x

54 7 2 54 7 2

The diagram shows the stem and leaf tables of the weights of two groups 20 years olds from towns A and B town A 7 5100 642 6 5 1 7 9 9 8 7 4 0 8 6 4 2 2 2 1 6 7 8 9 10 2234 1 7 8 0 4 4 4 6 0 2 3 5 2 3 3 4 59 6679 How many people were weighed in town B What was the modal group in town B What was the modal weight in town A What was the median weight in town B kg kg kg What was the range of weights in town B On average which group was heavier A or B or are they equal E town B Key 7 5 75kg kq 1 2 1 2 2 2 Mai EN

Write th h 2 A

K a Find the inverse of the function below on the given interval and write it in the form y f x b Verify the relationships f x x and f x x f x x 36 for x50 a f x x 36 b Verify the relationship f x x Select the correct choice below and fill in the answer box es to complete your choice OA B x 36 Type integers or simplified fractions A X F x x 36 36 x Verify the relationship f f x x Select the correct choice below and fill in the answer box es to complete your choice B f x 36 36 Type integers or simplified fractions Points 0 4 of 1 X 19 33 of 24 pois

x 6x 16

x 5x 4 0

x 11x 30 0

x 5x 4 0

x 11x 30 0

Classify the polynomial by its degree and number of terms 7

Classify the polynomial by its degree and number of terms 9x 3y 7

Add or subtract the polynomials m 4m 6 3m 8m

Classify the polynomial by its degree and number of terms

k 3k 1 k 8

ssify the polynomial by its degree and number of terms

Classify the polynomial by its degree and number of terms

Classify the polynomial by its degree and number of terms 32 3

K Determine whether the following statements are true and give an explanation or counterexample Assume x 0 and y 0 a In xy In x Iny b In 0 1 d c In x y In x Iny d e e dx e ex x x 1 dx f d dx x 3 e x for any integer n21 1 g The area between the curve y and the x axis on the interval 1 e is 1 X GREEEED A The statement is false The Product Rule of Logarithms states that In xy In x In y B The statement is true The Quotient Rule of Logarithms states that In xy In x Iny CC The statement is true The Product Rule of Logarithms states that In xy Inx Iny D The statement is false The Sum Rule of Logarithms states that Inx In y In x y b Choose the correct answer below OA The statement is false because In 0 0 OB The statement is true because e 1 OC The statement is false The natural logarithmic function In x is not defined at x 0

Determine whether the following statements are true and give an explanation or counterexample Assume x 0 and y 0 a In xy In x Iny b In 0 1 c In x y In x Iny d e 2 ex x x 1 1 g The area between the curve y X a Choose the correct answer below d dx x 3 e3x for any integer n 2 1 and the x axis on the interval 1 e is 1 OA The statement is false The Product Rule of Logarithms states that In xy In x In y B The statement is true The Quotient Rule of Logarithms states that In xy In x Iny OC The statement is true The Product Rule of Logarithms states that In xy In x Iny OD The statement is false The Sum Rule of Logarithms states that In x In y In x y

1 An election is being held for Pr Bailey Cate and Dan Each member votes by means of a ballot indicating their 1st choice 2nd choice en Ballot 1st A 1st 2nd B 2nd 3rd C 3rd 4th D 4th Ballot Ballot 1st 2nd 3rd 4th Ballot B A 1st 1st D 2nd B 2nd C C 3rd 3rd A 4th D 4th Ballot A 1st B 2nd C 3rd D 4th Ballot Ballot C 1st B 2nd D 3rd A 4th Ballot D 1st C 2nd Ballot C 1st B 2nd D 3rd A 4th B A 4th Ballot A 1st B 2nd 3rd C 3rd D 4th Ballot B 1st D 2nd C 3rd A 4th Ballot A 1st B 2nd C 3rd D 4th Ballot C 1st B 2nd D 3rd A 4th Construct the preference schedule for the election of Voters 1st Choice 2nd Choice 3rd Choice 4th Choice a Determine the number of 1st choice votes each member received Ballot C 1st B 2nd D 3rd A 4th Ballot A 1st B 2nd C 3rd D 4th CA A 1st B 2nd C 3rd D 4th Ballot Ballot B 1st D 2nd C 3rd A 4th Ballot C 1st B 2nd D 3rd A 4th

Find the SVD of A 2 3 2 2 2 3 Give an SVD for matrix A below Hint Work with AT A Type an exact answer using radicals as needed

Simplify cot x 1 sec x csc x to a single trigonometric func

Add Assume all variables are greater than or equal to zero 9 8x 3 x

1 Graph the function f x Use the graphing tool to graph the function Give the domain and range The domain of the function f x 3 Type your answer in interval notation The range of the function f x 1 X 4 1 X 4 3 Type your answer in interval notation is 0 00 is C 10 8 6 4 D 4 10 8 6 4 2 2 44 6 8 10 10

422 459 420 406 457 401 436 360 406 372 336 331 324 269 474 333 458 396 242 402 279 418 531 415 493 564 436 242 211 456 What is the total of these number added

K Graph the function f x 2 3 Give the domain and range Which transformations are needed to graph the function f x 2x 4 3 Choose the correct answer below www OA The graph of f x 2 should be shifted to the left by 4 units and shifted down by 3 units B The graph of f x 2 should be shifted to the right by 4 units and shifted down by 3 units OC The graph of f x 2 should be shifted to the left by 4 units and shifted up by 3 units D The graph of f x 2x should be shifted to the right by 4 units and shifted up by 3 units Use the graphing tool to graph the function Click to enlarge graph 1 0 1 8 6 1 4 1 2 4 10 8 6 14 2 2 4 6 8 40 X 10

Solve the equation for x 8 9 125 64 The solution set is Simplify your answer Type an integer or

Graph the function f x 3x 1 Give the domain and range Use the graphing tool to graph the function The domain of the function f x 3x 1 is 0 00 Type your answer in interval notation The range of the function f x 3 1 is Type your answer in interval notation 10 B D 10 8 z 6 4 2 4 6 8 10

Graph the function f x 3 Give the domain and range Use the graphing tool to graph the function The domain of the function f x 3 1 is Type your answer in interval notation CXII 10 4 104 8 6 4 14 2 4 6 8 10 10

1 3 5 If g x find g 2 68 g 2 68 Type an integer or decimal rounded to the nearest thousandth as needed

For g x 1 find g Simplify your answer Type an integer or a fracti

5 10 points For the information given state the value of the five remaining trig functions of 0 If cos 0 and sin 0 0

11 Find the shortest distance between the following pairs of parallel lines x y z 2 1 3 t 1 1 4 x y z 1 0 1 t 1 1 4 a b c 1 d e 2 9

4 Given y 3x 24x 36 a 5 points Find the x and y intercepts Do not round b 4 points Find the vertex Do not round c 5 points Use the information from part a and b to graph the quadratic equation Plea label your points

Find the perimeter and area of the shown figure 12 108

Multiply and simplify Assume all variables are greater than or equal to zero 5x 3 30x 5x 3 V30x

Find the perimeter and area of the shown figure 20 180 The exact perimeter of the rectangle is Simplify your answer Type an exact answer using radicals as needed The exact area of the rectangle is

10 points Solve the following system of equations 2y 6x 20 x 4y 40 0