Quadratic equations Questions and Answers

Lesson 31 The value of an antique car is modeled by the function V t 107000 1 125 where t is the number of years since 2005 By what percent rate is the value of the car increasing per year 12 5 B 1 125 125 D 0 125

An employee contributes 50 per pay period to her health insurance premium She also contributes 6 percent of her gross pay to her retirement plan Her gross pay for the period is 1 234 What are her total deductions for these contributions

Directions Based on the equation determine if it represents exponential growth or exponential deca Equation y 400 99 y 0 5 3 y 12 4 y 100 1 12 Growth or Decay

The area of a property decreases by 4 each year Which statement is correct The annual decay factor for the area is 0 6 B The annual growth factor for the area is 1 04 The annual decay factor for the area is 0 96 The annual growth factor for the area is 1 4

3 What is the end behavior of the function f x 2e A As x 00 f x 00 B As x 00 f x 0 As x 00 f x 00 D As x 00 f x 2e 1

How does the horizontal asymptote of f 2 2 1 4 compare to the horizontal asymptote of g z 2 1 The horizontal asymptote of f x is 4 units greater than the horizontal asymptote of g x The horizontal asymptote of f x is 4 units less than the horizontal asymptote of g x The horizontal asymptote of f x is 8 units greater than the horizontal asymptote of g x The horizontal asymptote of f x is 8 units less than the horizontal asymptote of g x 47

table x y 0 1 1 3 2 9 3 27 4 64 5 125 6 216 What is the average rate of change for this function for the interval from x 1 to x 3

angle measure 0 k6 kls 23 ST rotation 0 100 16 7

You pick a card from a standard deck look at it then pick a second card Since a standard deck of 52 cards has 13 hearts and 13 diamonds is the probability of drawing a heart and then a diamond 13 13 52 52 X X A No because the two events are not disjoint a card can be both hearts and diamonds B Yes because the two events are independent C No because the two events are not independent D Yes because the two events are disjoint no card is both hearts and diamonds

1 Find the equation of L where L is parallel to y x y 24 2 The equation of line L is Type your answer in slope intercept form Use integers or fractions for any numbers the equation

B For 7 8 write the equation from the following graph in the following forms SHOW WORK 7 10 24 10 y 5 Vertex y x 4 k xx y a x 4 1 10 y a x 1 Stender form y ax factored for y a x x 1 X a 7 911 4 1 50 1 6 1 4 1 2 9 5 5 4 points each 7 7 6x40 vertex form standard form 7 259 1 7 1 250 6 25 6

ET U7L20 22 Rational Irrational Vertex Form POSSIBLE POINTS 5 Pierce says if you add two irrational numbers you will always get a rational number Bryson says if you add two irrational numbers you will sometimes get a rational number and sometimes get an irrational number Who is correct O Pierce Bryson

Determine the domain range horizontal asymptote and y intercept of the function f x 3 3 Use the graphing tool to graph the function Click to enlarge graph For any answer boxes shown with the grapher type an exact answer What is the domain of f x 3 32 Type your answer in interval notation What is the range of f x 3 37 Type your answer in interval notation Determine the horizontal asymptote of f x 3 3 Select the correct choice below and if necessary fill in the answer box es to complete your choice OA The function has one horizontal asymptote Type an equation OB The function has two horizontal asymptotes The top asymptote is 10 B 6 A b 8 16 4 2 2 14 6 8 d 40

What are the exact values of a and b A 30 a a 1 b 7V 2 O a b 7 1 b 72 7V3 a 7 6 1 2 1 b 7 3 a B

The graph represents a function 3 2 of Which ordered pair can be plotted together with these four points so that the resulting graph still represents a function O 2 1 O 3 1 O 3 0 2 3

percentage Sales Cost of goods sold Selling expenses Administrative expenses Income tax expense Innovation Quarter Inc Comparative Income Statement For the Years Ended December 31 Current year Current year Amount Percent 4 000 000 2 280 000 600 000 520 000 240 000 6 196 196 196 196 Previous year Previous year Amount Percent 3 600 000 1 872 000 648 000 360 000 216 000 3 N b The vertical analysis indicates that the cost of goods sold as a percent of sales expenses by 3 percentage points and administrative expenses income as a percent of sales by 5 percentage points 1 11 11 1 4 by 5 percentage points while selling by 3 percentage points Thus net

11 Determine which symmetries the graph of xy x y possess a x axis b y axis c origin d none

The equation for line c can be written as y through 10 9 What is the equation of line d x 1 Line d is parallel to line c and passes Write the equation in slope intercept form Write the numbers in the equation as simplified proper fractions improper fractions or integers OC

Find the roots of the factored polynomial x 4 Write your answer as a list of values separated by commas X

The half life of a radioactive kind of barium how much will be left after 12 minutes grams 3 minutes If you start with 9 152 grams of it

20 mm b b What is the length of the missing leg If necessary round to the nearest ter Submit 16 mm millimeters

You have 1 312 grams of a radioactive kind of lanthanum If its half life is 93 minutes how much will be left after 279 minutes grams

Mackenzie opened a savings account 5 years ago The account earns 6 interest compounded continuously If the current balance is 4 000 00 how much did she deposit initially Round your answer to the nearest cent

A state seal which is round hangs in the capitol building It has a diameter of 4 feet What is the seal s circumference Use 3 14 for If necessary round your answer to the nearest hundredth feet

Ann earned some money doing odd jobs last summer and put it in a savings account that earns 8 interest compounded continuously After 2 years there is 100 00 in the account How much did Ann earn doing odd jobs Round your answer to the nearest cent

24 The terminal side of an angle 8 in standard position intersects the unit circle at 1 25 25 What is cos 0 Write your answer in simplified rationalized form

If the number of bacteria in a colony doubles every 475 hours and there is currently a population of 65 bacteria what will the population be 950 hours from now bacteria

Use common logarithms to solve the equation 73x 9 7 3 Give the exact solution and an approximate solution to three decimal places

A manufacturer estimates that she can sell a maximum of 65 thousand cell phones in a city By advertising heavily her total sales grow at a rate proportional to the distance below this upper limit If she enters a new market and after 6 months her total sales are 22 thousand phones find a formula for the total sales in thousands t months after entering the market and use this to estimate the total sales at the end of the first year Total sales at end of the first year Give your answer to at least 1 decimal place thousand phones

A square pyramid has a slant height of 7 centimeters Find the volume of the pyramid 7 cm 8 cm 7 cn

or the following expression find the correct partial fraction ecomposition 23 z z 5 2 2 z 2

Challenge The measure of ZABD is 0 2x 53 and the measure of ZCBD is 0 2x 41 Find the value of x x CHID B The figure is not shown to scale

Convert the polar coordinate 8 x y x Select y 3 37 to a rectangular coordina 2 Select k Select

sketch the set of points For curves also find a cartesian equation 2 0 0 6 0 r 1 3 r 2 sec 0 4 r 3 cos 0 5 1 r 2

Practice Saad savonbrident ic Find the area of each composite figure Example 1 941 of bruo Seavyd 22 m 1 20 m 8m 11 m 8 m 19 m 7 m ONLINE 2 10 ft aid nr Xeeb sit tot got 59 Owe 14 ft 18 ft iw rioumn word ronl 8 ft 12 1 2 ft 12 5 Rendental upe 190 2002 J Buon Net

Find the average rate of change of g x 8x 20 0 on the interval 4 4

3 8 cm 8 cm 12 cm 14 cm 4 16 in 5 Stuart created a piece of decorative wall art that has the dimensions shown Find the area of the wall art Example 2 5 in 18 in 5 5 in 21 in 6 in 15 in 10 in 6 in 19 in

b All angles that have a cosine of cos 12 COS regative cosine 1679 c An angle that measures Find its exact sine 5Tt 4 0 06 radians

E 4 2 0 2 2 JXxx Range Domain y intercept 4 6 Part A Which function is shown in the graph A f x log2 x 3 B f x log2 x 3 f x log3 x 3 f x log2 x 3 b Part B How are the graphs of the functions f x and g x In x similar Place an X in the table to Same Different

15 Expand the logarithmic equation logs 2 VI

8 a Consider the function f x log2s Part A What is the value of f 5 b Part B What is the value of f 625

Find the average rate of change of g x 6x 2 x4 on the interval 4 2

19 If tand 0 364 and 0 2n what is cose to the nearest thousandth

18 If cos 0 242 and 0 2m what is sine to the nearest thousandth

Angle is in standard position and has its terminal side in Quadrant II If tan 0 8 10 6 10 B 8 10 6 10 6 what is sin 0

Write the measure of coterminal and reference angle in the second column for the measure of angles given in the first colu Note Do not enter the word degrees or in the answer column Positive angle coterminal with 320 Reference angle for 210 Negative angle coterminal with 90

14 Match the following degree measures to their correct radian measures Radians x degrees Degrees TT 180 180 TT x radians 480 330 DRAG DROP THE ANSWER BR 6x 11 TIW

17 If sine 0 707 and 0 what is cose to the nearest thousandth

If sin 0 cos 0 1 which of the following statements is are tr A sin 0 1 cos 0 BO None of these answer choices are correct in 0 1 cos 0 D sin 0 cos 0 1

0 Match each trigonometric ratio with its proper Identity sin 0 sec 0 cot 0 tan 0 DRAG DROP THE ANSWER cos 0 cos 0 sin 0 csc 8 sin 0 cos 6