Algebra Questions

Solve the equation below by graphing Find all of the solutions Try it with your graphing calculator and also try to graph by hand z 51 x 3 X X

E Solve the following formula for the indicated variable 11 8 V X A a v vo 2ax solve for a

State the interval over which function is increasing and interval of which function is decreasing 7 y x 2 4 48 16 14 2 2 M W 6 X 9 10 8 y 3 x 1 8 6 4 22 4x ZOC

Choose the correct graph below Sketch an angle 0 in standard position such that 8 has the least possible positive measure and the point 2 0 is on the terminal side of 0 Then find the values of the six trigonometric functions for the angle Rationalize denominators if applicable Do not use a calculator O A Q Points 0 of 1 B O C H Save 17

IV y 1 3 3 Suppose that the point x y is in the indicated quadrant Decide whether the given ratio is positive or negative Recall that r x y 2 Choose whether the given ratio is positive or negative O Negative O Positive points Points 0 of 1 Save

are LLC A odd and even functions Evaluate each function 1 h n 4n 2 Find h 4 x A 8x 2 C 18 4x A x 4 C x 4 B 4x 2 D 4x 10 3 3 g x x 4x Find g x B x 4 D x 4

2 p x x 5 Find p x A 5 1 2 x C x 5 B x 5 D x 5 4 k x x 4 Find k x A 4x 4 C x 4 B x x D 8x x

11 12 Identify the domain and range of each 9 y 2 x Domain 20

5 k a a a Find k a A a a C a a B a 1 D a a 6 6 h a 3a 4 Find h a A 3a 4 B 48a 4 C 12a 4 D 3a 6a 7

You finance a new air conditioner for 1200 with no payments due until after 5 months although the account accrues nterest continuously at an annual interest rate of 4 How big will the loan balance be when your first payment is due in 5 months

Estimate the solution of the equation from the associated graph Check by substituting into the equation 2x 7 x 1

Solve the following equation using the quadratic formula 2x 2 15x 8 The solution set is Type an exact answer using radicals and i as needed Use a comma to separate a

Use a graph to find all of the solutions to the inequality below z 5 2 2 Type your answer in interval notation without spaces use inf for infinity For example 2 inf

Consider the functions F and G as shown in the graph to the right Find the domain of G F What is the domain of G F Type your answer in interval notation Ay 104 8 n 4 6 2 0 2 4 G F 6 8 10 12 14 365 G E

Find the sum of the following series 3 2n

POSSIBLE POINTS 1 The number of seats in each row of an auditorium increases as you go back from the stage The front row has 25 seats the second row has 30 seats and he third row has 35 seats If there are 20 rows how many seats are in the auditorium You should show all of your work in your notebook seats

Write the explicit formula for the arithmetic sequence below 6 1 4 9 an Type your answer without spaces Try writing the recursive formula in your notebook for additional practice

in software this gives you written proof fer to later to find your errors and correct will be able to see hints the ebook link s on for the problems on the quiz Be sure how well you understood the methods u rtant part of taking each quiz learning fr 1 04 Points MY NOTES DETAILS F x Find the derivative of the function F x 5x6 2x 4 SCAI ASK YOUR TEACHER

A high school auditorium has 20 seats in the first row and 22 seats in the second row The number of seats in each row forms an arithmetic sequence How many seats are in the 20th row You should show all of your work in your notebook POSSIBLE POINTS 0 67 seats

Find the common difference and the next three terms of the arithmetic sequence below 6 1 4 9 d

A rectangular plot of land is designed so that its length is 8 meters more than its width The diagonal of the land is meters To the nearest tenth of a meter what are the dimensions of the land The width of the land is meters and the length of the land is Round to the nearest tenth as needed meters

The revenue R received by a company selling x pairs of sunglasses per week is given by the equation R 0 1x 30x a Find the values of x 19 and x 25 b How many pairs of sunglasses must be sold in order for the revenue to be 2000 per week c How many pairs of sunglasses must be sold in order for revenue to be 2250 per week a Find the values When x 19 R S

The functions f and g are defined as f x 6x 5 and g x 1 6x a Find the domains of f g fg ff b Find fg x ff x The domain of The domain of H f g x and 1 when x and nd 7 1 Type your answer in interval notation 9 f 17 x is 0 17 4 17 00 7 x is 5 00 6 Type your answer in interval notation b fg x 36x 24x 5 Simplify your answer ff x 36x 60x 25 Simplify your answer H 0 g Simplify your appus

e the Pythagorean Theorem to determine the value of x and the measurements of all sides he right triangle shown to the right e a comma to separate answers as needed A For the single value of x 30 d the measurements of all sides of the right triangle Select the correct choice below and fill in the answer es to complete your choice R th x 102x 10 the lengths of the sides of the triangle are X

Zene decides to canoe 7 miles upstream on a river to a waterfall and then canoe back The total trip excluding the time spent at the waterfall takes 5 hours Zene knows she can canoe at an average speed of 6 miles per hour in still water What is the speed of the current The speed of the current is approximately miles per hour

Use the Pythagorean Theorem to determine the value of x and the measurements of all sides of the right triangle shown to the right Find the value of x x 10 24 X

Click here to watch the video The revenue R received by a video store renting x DVDs per day is given by the equation R 0 1x 80x a How many DVDs must be rented in order for revenue to be 12 000 per day b How many DVDs must be rented in order for revenue to be 16 000 per day a How many DVDs must be rented in order for the revenue to be 12 000 per day DVDs Use a comma to separate answers as needed b How many DVDs must be rented in order for revenue to be 16 000 per day DVDs Use a comma to separate answers as needed

Zene decides to canoe 2 miles upstream on a river to a waterfall and then canoe back The total trip excluding the time spent at the waterfall takes 3 hours Zene knows she can canoe at an average speed of 3 miles per hour in still water What is the speed of the current The speed of the current is approximately Round to the poorest tonth miles per hour

16t 160t a baseball is projected upward from ground level with an initial velocity of 160 feet per second then its height is a function of time given by s What is the maximum height reached by the ball The maximum height reached by the ball is feet

Solve 4 sin 5x 3 for the two smallest positive solutions A and B with A B A B

Find the vertex form of the quadratic function for the following

pply Logs to both sides of the equation with b 0 and use the properties of logs to get this into linear form y bx 2

Verify the rules of contraposition X a X B 70 notation as in Exercise 3 X BF a X a B

Suppose that the lengths of human pregnancies are normally distributed with a mean of 266 days and a standard deviation of 17 days Complete the following statements a Approximately 95 of pregnancies have lengths between days and days b Approximately 283 days of pregnancies have lengths between 249 days and

Without graphing identify the vertex axis of symmetry and transformations from the parent function f x x y x 61 4 The vertex is 6 4 Type an ordered pair The axis of symmetry is x 6 What are the transformations from the parent function O A The function is translated 6 units to the left and 4 units up OB The function is translated 4 units to the right and 6 units up OC The function is translated 6 units up and vertically stretched by a factor of 4 OD The function is translated 4 units to the left and 6 units up OE The function is translated 6 units to the left and vertically stretched by a factor of 4 OF The function is translated 4 units down and vertically stretched by a factor of 6

Sketch the graph of the quadratic function f x x 2 2 5 by using translations vertical or horizontal shifts Compare the graph to the graph of f x x E The graph of f x x 2 2 5 is exactly the same as the graph of f x x except the graph of f x x 2 2 5 is shifted 2 units to the and 5 units

Make a table of values for the following equation Then graph the equation y x 4 Complete the table of values below X 3 1 0 1 3 Simplify your answers y

Suppose that the mean cranial capacity for men is 1090 cc cubic centimeters and that the standard deviation is 300 cc Assuming that men s cranial capacities are normally distributed complete the following statements a Approximately 1990 cc of men have cranial capacities between 190 cc and b Approximately 95 of men have cranial capacities between cc and cc

Let G be the set of 2 x 2 matrices with integer coefficients in the range 0 hrough 7 odd integer determinants and binary operation given by ordinary multiplication followed by reduction of each entry mod 8 Your task is to rove that G is a group Follow these four steps a Prove closure is satisfied b Prove associativity is satisfied c Prove that there is an identity element d Prove that each element has an inverse

Evaluate by following the order of operations BEDMAS 4 6001 0 008 140 365

Based on the table below find the range of f x 1 3 4 11 12 14 19 X f x 17 8 15

3 Complete the table below by referring to the graph of 2 sequences Term 0 1 2 3 4 5 6 Seq A 2 5 8 Seq B 2 1 213 2 4 8 16 20 19 18 17 16 15 14 13 12 11 10 9 8 7 7654321 23 2 A B A For Sequence A describe a way to produce a new term from the previous term B For Sequence B describe a way to produce a new term from the previous term C Which of these is a geometric sequence Explain how you know 7

1 2x 3x 2 x 3 x 6

24 2x 3x 2 x 3 x 6

2 Unit 1 Lesson 5 Cumulative Practice Problems 1 Match each sequence with one of the definitions Note that the starting value part of a complete recursive definition is missing so as not to give away the solutions 1 6 12 18 24 a n 7 a n 1 2 2 14 98 686 b n b n 1 3 160 80 40 20 c n c n 1 6 Term Practice Lesson 5 0 1 2 Write the first five terms of each sequence Is it arithmetic geometric or neither a n 1 3 for n22 7 4 1 2 5 a a 1 7 a n b 1 2 b n 2 b n 1 1 for n 2 2 1 1 3 5 c 1 3 c n 10 c n 1 for n 2 3 Complete the table below by referring to the graph of 2 sequences Seq B 1 2 2 3 6 4 5 b ices and Functions C Seq A 1 2 5 8 2 a 4 8 16 b Period Date 2023 09 13 C 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1Q NM 2 3 A B A For Sequence A describe a way to produce a new term from the previous term B For Sequence B describe a way to produce a new term from the previous term 2 Fumlain how you know

b b 1 2 b n 2 b n 1 1 for n 2 2 1 1 3 5 c 1 3 c n 10 c n 1 for n22 C

Given the function f x 9x 5 f 0 f 3 f 3 f x 4 f x I

Use the slope intercept form to write an equation of the line that passes through the given points Use function notation where y f x 20 2 3 and 7 11 20

5 Solve for x and y 2y 3 8x 27

The function D p gives the number of items that will be demanded when the price is p The production cost C a is the cost of producing x items To determine the cost of production when the price is 10 you would Solve C D p 10 Evaluate D C 10 Evaluate C D 10 Solve D C x 10