Quadratic equations Questions and Answers

Functions On questions 1 8 solve each function for y where necessary and then identify each function as linear absolute value quadratic or exponential 1 y 6x 14 2 3x 1 2x y 3 y 7 cs 4 y x 5x x

5 Jake invested a sum of money for 6 years at a simple interest rate of 2 5 and earned 11 700 00 What was the initial amount that he invested p

Solve a 10x 100 81 Ox 1 and a 19 Ox 1 and a 19 Oa 10 and x 5 Ox 10 and x 5 Ox 1 and a 19 Ox 10 and x 10 Ox 10 and x 5

Use regression to find a cubic model for the given data set Round the regression parameters to three decimal place 5 1 3 4 2 2 5 1 7 2 4 2 y 2 187 1 843x 1 067x 0 104x X y 7 0 1 9 5 7 11 9 8

Explain why it makes sense to call the expression a2 20x 100 a perfect square O It is equivalent to the factored expression x 10 2 so therefore it is a perfect square It is equivalent to the factored expression x 5 so therefore it is a perfect square O It is equivalent to the factored expression x 5 x 5 so therefore it is a perfect square O It is equivalent to the factored expression x 10 x 10 so therefore it is a perfect square

Solve the equation 16x 60 by completing the square 1 16x 60 1 16x 60 z 8 2 8 x 8 O

customers The consulting company gathered data from each customer who purchased hiking shoes and recorded the shoe brand and the customer s level of happiness A Footlong shoe A Toes Knows shoe A Toe tastic shoe Displeased Pleased 10 5 8 6 9 5 What is the probability that a randomly selected customer is pleased given that the customer purchased a Toes Knows shoe Simplify any fractions

1 After researching the numbers local officials attempt to correct the fish populations by making changes to the number of each fish that can be caught by fishermen effective as of 2021 The new projections for the tiger gar and bluegill populations have been modeled with the functions Tiger Gar f 2 1 556 85 Bluegill g x 2 010 95 2 500 According to these projections in what year will the population of bluegill surpass the number of tiger gar in Lake Richmond hint graph both functions in desmos and find the x value of their intersection in 2022 in 2023 in 2024

e figure above shows the plot of the points 1 4 2 3 3 8 4 9 and 8 2 Find a polynomial of degree 4 of the form f a aa bu 2 ant You e whose graph passes through these points

Find the acute angle A tan A 1 369 As Round to the nearest tenth as needed

9 in 40 in Graph the following by PLOTTING POINTS LIST 3 points used in the blank provided You MUST show all work for full credit 17 3x 2y 12 17 3 points Perform the indicated operation to simplify the polynomial You MUST show all work for full credit 18 6t 2 t 5 Factor the following polynomial completely 19 4x 16x 18

4 points Determine the least possible degree for the polynomial function show 410 AU

Rewrite 3 sin x 6 cos x as A sin x phi A phi 2 Note phi should be in the interval ni phis ni

Graph the system below and write its solution y 3x 2 6x 2y 0 Note that you can also answer No solution or Infinitely many solutions 10 10 10 X Solution 0 50

You invest 40000 into an account compounded continuously If you want to have 500000 in the account after 10 years what does the interest rate need to be Round to the nearest tenth of a percent

Find an r cos e equivalent equation in rectangular coordinates x y y O x y x O x y x O x y y

How many radians is 225 3 4 radians 5 4 radians 5 2 radians 3 2 radians

Find equations for the vertical asymptotes if any for the following rational function Answer How to enter your answer opens in new window Separate multiple equations with a comma f x 1 x 1 Selecting a button will replace the entered answer value The value of the button is used instead of the value in the associated box

Grade 8 Online Florida s B E S T Practice Test For each ride a taxi service charges an initial fee plus an additional fee based on the number of kilometers of the trip The graph shows the cost for taxi rides Select a true statement Price S 50 40 30 20 10 0 ty A 10 20 Kilometers The slope is 2 1 This means that each kilometer costs 2 10 The slope is 5 This means that each kilometer costs 5 10 The y intercept is 2 1 This means that the initial fee is 2 10 10

7 Find m21 and m42 in the figure 133 mz1 2 m22 82 00 1 19 32 38 40 44 86 94 108 114

A line passes through the points given in the table X 2 7 10 5 Write the equation of the line in slope intercept form y y 9 34 3 1 1 3 X 5

Use the properties of operations to multiply the expressions 1 w 2 3w 4 81 w 4w 25 0 13w 5 w 1 w 8 w

Solve the equation x 6 2x 3 x x 7 11 1 3 5 x 33 11

AQRS was transformed to create image AQ R S Which transformation describes the relationship between the preimage and image R O reflection translation rotation

Which ordered pair represents a solution to the system of equations y x 5 y x 3 O 2 6 8 5 4 3 4 7

Which algebraic expression is equivalent to ad 5 Q ad 5 a 0 5

Choose the correct simplified form of each expression 3 4 3 2 1 3 1 1 1 27 9 3 5 350 DO D 000 3 1 3 6 33 O

Find 8 4 x 108 1 5 x 103 Express your answer in scientific notation x 10

What is the measure of 21 in the figure shown Express your answer in degrees 112 140 1

GAWNHAHNWAG 1 5 Determine the period 4 8 12 16 20 24 28 Enter

gruss in himself When John cuts the it takes 2 hours 3 hours by grass with Connor How long would it these connor to cut the grass by himself Steps

if f x 5x 13x 4 S x x 3 find the following 2 a 9 x b

15 The solution to the equation 39 4 x 4 12 4 x 1 is

Question 2 of 18 Step Use the properties of logarithms to expand the following expression as much as possible Simplify any numerical expressions that can be eval log 16x 12y 1 0 VUNEI00 DOOD x a 0 X NZQRC 02 a b B log In exd 4 v in cos tan 1 cse sec cot ot log 2 Keyboard Submit An

3 Joyce Kronecki buys 350 shares of KOW Inc that has a high of 42 50 per share and a low of 23 60 Last year the company paid annual dividends of 0 58 per share What is the a total annual dividend b annual yield based on the low and c annual yield based on the high

2 Christine Gony owns 400 shares of QT Press The purchase price was 55 99 a share Dividends are 1 52 per share Determine a the total annual dividend and b the annual yield to the nearest hundredth of a percent

q digit will be in the one place what of 3245

Use series to approximate the definite integral I to within the indicated accuracy 0 4 I T forn error 5 x 10 6 I V1 x dx X

A triangle with exactly two congruent side is Called

Which graph matches the equation y bg O O 4 21 2 d 1 4 11 1 1 2 2 2 A

x 2y 30 4x ay 60 In the given system of equations a is a constant If the system has no solutions what is the value of a A

Find all values that make the rational expr 12 16 O y 4 O y 16 Oy 4y 4

Decide whether the relation is a function 1 7 3 7 5 2 8 9 10 1 O not a function O function

Complete the square for the binomial Then factor the res x 14x O 196 x 14x 196 x 14 O7 x 14x 7 x 49 O 14 x 14x 14 x 196

Find the domain of the function f x x 8 x 2 O 8 or 8 00 0 00 00 O 2 or 2 0 O 0 or 0

Find the requested value f x 5x 1 g x x 3 Find f g 1 02 06 C 3

Find the indicated function value f x 2x 5x 5 g x 6x 1 Find f g 4 O 48 O45 O 40 0 24

Find the domain of the function f x 5x 3 O 0 00 O 3 or 3 00 O 0 or 0 O 3 00

Find the indicated function value 1770 O 12 02 8 10 f x 8 10 12 18 Find f 4

Find the indicated function value Find f 1 when f x 2x 2x 5 O 1 09 O 5