Quadratic equations Questions and Answers

2 The percent grade of a road is the ratio of vertical rise Ah to the horizontal change in distance d expressed as a percent A road is found to have a percent grade of 3 5 a What is the horizontal distance d with a vertical rise of 980 m Ah Round to whole number in meter b For 100 km horizontal distance d for a stretch of this road what will be the vertical rise Ah Round to whole number in meter 4 marks i B Ah

Give the equation in factored form of the polynomial function graphed below Note Zeros will not have multiplicity greater than 3 Use the y intercept to help you determine the leading coefficient 0 A

1 Multiply the following binomials 5b y 4b y O206 9by y O206 1by y O206 4by y 208 5by y

13 12 11 10 9 8 7 5 7 Find an equation for the graph above 2 1 3 h u 2 1 1 2 34 1 2 3 5 6

With a certain medical insurance policy the customer must first pay an annual 400 deductible and then the policy covers 60 of the cost of x rays The first insurance claims for a specific year submitted by a person are for two x rays The first x ray cost 620 and the second x ray cost 920 How much in total will he need to pay for these x rays He will be responsible for

9 Multiply the following binomials a b a b O a 6 O a 2ab b O a 2ab b O a 6

3x Given that tan 1 what is the value of sec e for 2 2 1 0 2

Write the domain and range of h using interval notation CAREE

Which equation finds the value of x in the triangle below X O cot70 12 O cot70 O sec 20 sec 20 20 12 12 12 X 12 N Y Z X

A man throws a ball off the top of a building and records the height of the ball at different times as shown in th table Find a quadratic model for the data What is the ball s maximum height Height of a Ball Time s Height ft 0 46 1 63 2 3 48 Select one a About 63 feet Ob Not enough information is given Oc About 72 feet Od About 55 feet 4

5 1 UNITS BIO muny OA The solution is C Type your answer in interval notation Simplify your answer OB There is no solution Choose the graph of the solution set OA 4 mung an einer VIVO un 0 6 8 10 10 12 12 12 14 14 16 16 18 18 20 20 O OB B O D 2 0 72

Evaluate the integrals for f x shown in the figure below The two parts of the graph are semicircles 1 1 0 a f 3 f x dx b fo 3f x dx c f 2f x dx d ft 5 f x dx ESE

a 0 17 For which value of a R does the matrix 0 2 0 15 1 multiplicity 3 o 3 have a single eigenvalue with algebraic

A project is graded on a scale of 1 to 5 If the random variable X is the project grade what is the mean of the prob distribution below 00 0 45 0 4 0 35 0 3 0 25 0 2 0 15 0 1 0 05 0 0 2 0 4 Probability Distribution 1 TIME RE 59 2

What is the mean of the normal distribution shown below 3 2 1 0 1 2 3 O 1 00 01

0 2 csc 0 4 2 1 5 Points DETAILS MCKTRIGS 6 2 009 Solve the equation for its 360 Enter your answers as a comma separated list 6 sin 0 3 csc 0 0

2 The solution to the equation 53x 4x 1 is given below but in jumbled order Rearrange the steps in the correct order on the right of the question 3 marks Jumbled order x 3log5log 4 log4 53x 4x 1 3xlog5 xlog4 log4 log53x log4x 1 3xlog5 x 1 log4 3xlog5 xlog4 log4 log 4 E 3log5 log4 X Correct order

17 Find the domain f x 2 x x 3

For each value of u determine whether it is a solution to 8 5 72 11 8 7 9 Is it a solution Yes O O No O O X

1 Lines I m and n are parallel A Find the measures in degree of all angles A B C D E F G H I J K L M N 0 P Q R S T 122 M P NO T S A G L B E C D H I K 1 PO R 81 m n

5 Consider a map T R R defined 1 point as T v Av where v 17 14 17 20 correct and A Which of the following options are T is a linear transformation T is both one one and onto T is one one but not onto T is neither one one nor onto

7 Rationalize the denominator of 5 2 3 4 2 3

oe and Hope were both asked to factor the following polynomial completely Is one of them correct Both of them Neither of them Explain what each of them did that was correct and or incorrect Joe 87 42 12 8x 12 x 1 Hope 8x 4x 12 4 2 x 3 4 2 3 x 1

9 Pts 3Pts each Letu 2 2 3 v 1 0 3 and w 0 0 2 Compute the following a ux v w b proj v 2w c 2u v w

Use the slope and y intercept to graph the equation 3 y x 3 4 O a Ob OC PO 5 79 1 A nya G 15 4 744 III 4 5 14 19 6 E 2 En 4 2 2 3 2 3 2 unte MHE MW H AND www

21 214 feet 176 feet tanding on top of a building you use a laser measuring tape to measure your distance from the top ottom of a nearby statue How tall is the statue Round your answer to two decimal places Proview

The graph of a function f is shown Draw the graph of y f 1 x Amor a b X

Find the area of the figure Sides meet at right angles 3 m 9 m 5 m 5 m 3 m 5 m 9 m

Finding the Domain and Range of a Quadratic Graph Determine the Domain and Range for the graph below Write your answers in interval Notation 8 7

Question 12 NO HO Solve the following inequality f w 0 Write your answer in interval notation Question Help Message instructor

5 Choose 3x 5x 2 Choose Given the functions evaluate the expression f x x and g x 3x 1 gof 1 Answer Given the functions evaluate the expression f x x and g x 3x 1

Simplify your answers Do not round until the final answers Then round to four decimal places as ne Radioactive Substance a Polonium Po 202 b Lead Pb 194 c lodine 1 124 d Krypton Kr 77 e Strontium Sr 93 f Uranium U 232 g Plutonium Pu 240 Decay Rate k per min per min 16 50 per day 0 9 per min per min per year per year Half Life T 44 6 mins 10 7 mins days mins 7 4 mins 70 0 years 6561 years

Find the inverse of the relation shown below Graph the given relation and its inverse 5 2 1 3 Choose the correct table for the inverse of the relation below OA X X y 4 1 2 6 y 5 1 2 4 2 6 1 3 OB X 3 6 1 2 2 1 4 LO 5 O C X 4 1 2 1 3 6 y 5 2 sh

Given that f x x 7 and g x 5x 3 find OA Select the correct choice below and if necessary fill in the answer box to complete your choice 08 OB The value for 00 00 does not exist if it exists A

f x neu as 4 2x if x 0 if x20 a Find the domain of the function b Locate any intercepts c Graph the function d Based on the graph find the range a The domain of the function fis Type your answer in interval notation b Locate any intercepts Select the correct choice below and if necessary fill in the answer box to complete your choice OA The intercept s is are Type an ordered pair Use a comma to separate answers as needed B There are no intercepts O A c Choose the correct graph of f x below B O C OB The range consists exclusively of one or more isolated values It can be described as Use a comma to separate answers as needed Q d Based on the graph find the range Select the correct choice below and fill in the answer box es to complete your choice O A The range does not have any isolated values It can be described by Type your answer in interval notation OC The range has at least one isolated value It can be described as the union of the interval s Use a comma to separate answers as needed O D and the set x Q Q 2

Problem 3 Graph the following functions by using methods in ete a y 3 5 cos x b y 2 3 sin x c y 2 tan x

Use the graph of the function f x to find x such that f x 1

State the base of the exponent 8 in the expression 10b8

Find the effective annual yield and the continuous growth rate if the value of a deposit is given by Q 2900e0 0657t Round your answers to two decimal places The effective annual yield is The continuous growth rate is W

On the given coordinate system sketch the graph of a straight line with a slope of zero Choose the correct graph below OA N OB O C G O D

In the figure below AB and CD bisect each other at E The measure of ZCAE is 80 and the measure of ZBDE is 60 What is the measure of ZCEA 80 E B 60 D F 10 G 30 H 40 J 60 K Cannot be determined from the given information

Use similar triangles to solve for x 4 14 18 12 6 10 ZMY 11 5 6 10

A board of length 3x 6x 12 meters is to be cut into three pieces of the same length Find the length of each plece COLL 3 6 12 m

Find the matrix similar to A C 2 1 D 33 10 22 41 13 B 0 3 2 4 5 7 1 3 13 2 1 using the matrix 0 3 43 1 M and the equation B M AM

Find the equation of a hyperbola with foci 0 18 and the length of the transverse axis 8 Graph the hyperbola Which of the following is the equation of the hyperbola Select the correct choice below and if necessary fill in the answer boxes to complete your choice OA OB 27

Consider G x x 1 x 4 a Identify the x intercepts of the graph of G b What are the x intercepts of the graph of y G x 1

f sin 0 5 12 find the exact values of cot and cos 0

4 show Cos x Tan x Sec x Sin x 1

MY NOTES X If a company has total costs C x 12 000 45x 0 1x2 and total revenues given by R x 305x 0 9x find the break even points Enter your answ comma separated list ASK YOUR

If total costs are C x 1500 1420x and total revenues are R x 1500x x find the break even points Enter your answers as a comma separated list ASK YOUR TEACHER X