Quadratic equations Questions and Answers

1 Draw the number line graph for the solutions to the 1 3 SR questions which are listed below Write the solutions in interval notation a 3x 7 4x 9 b 2 x 4 2 3 x 6 c x 65 and x 4 2 d y 1 7 or y 3 1 e 5 3p 7 22 2 Write the domain and range for the graph in interval notation Ay 5 4 3 2 RA

Rewrite the equation log a 5x 7y in the form 10 y using exponents instead of logarithms

Solve the system of equations using matrices Use Gaussian elimination with back substitution or Gauss Jordan elim x 9y z 23 x 3 y z x y z 9 The solution set is Simplify your answers Type an ordered triple C

ve the system of equations using matrices Use Gaussian elimination with back substitution or Gauss Jordan elim 4x 2y 5z 34 5x 2y 3z 25 x 4y 13 me solution set is Simplify your answers Type an ordered triple

K Perform the following matrix row operation and write the new n 5 10 20 40 2 7 0 0 7 6 3 4 15 Simplify your answer 5R1 After performing the row operation the new matrix is

Solve y 1 7 or y 3 1 y Check or y Solve 5 3p 7 22

Solve 3x 7 4x 9 X Check Solve 2 x 4 2 3 x 6 X 2 Check

iable compound inequality 2x562 or X 34 10

5x y 8 x 2y 17 4x 3y 2 The shaded region is a feasible region If the objective function is Z 10x 3y a the maximum Z value is b the minimum Z value is

Use the vertical line test to determine whether each graph represents a functio iz A B 12 Choose Choose Choose

Jane wants to buy a townhouse that costs 91 000 The bank requires a 10 down payment The rest is financed with a 15 year fixed rate mortgage at 5 annual interest with monthly payments Complete the parts below Do not round any intermediate computations Round your final answers to the nearest cent if necessary If necessary refer to the list of financial formulas a Find the required down payment b Find the amount of the mortgage 0 c Find the monthly payment 5

Use the vertical Line test to determine which graph represents a function Graph a Graph b Graph c Graph d Check EE G 6 23 2 L

Determine whether the graphs are discrete continuous or neither A B G E S 6 ils 2 CJ ST 4 5 6

41 Determine the domain of the function graphed below 6 y 2 H

Find the domain and range Input answers from least to greatest 5 5 3 8 5 4 7 5 13 8 6 2 3 6 Domain Range Check Find the domain and range of the ordered pairs represented on the graph Input answers from least to gre AY Domain 12 15 18

Determine the domain and range Is the relation a function O Domain 3 3 Domain 3 x 3 Range 1 1 Range 1 y 1 The relation is a function Choose H Choose Choose Choose Choose

Find the domain and range 5 4 3 2 1 Domain Range Ay m 2 X A X AN 5

Suppose 0 f x 3 for all x in the interval 1 1 Which of the following must be true 1 1 ff x dx 0 1 1 2 ff x dx 6 dz 1 1 3 ff x dx 3 dz 1 a 3 only b 1 2 and 3 c 1 only d 1 and 2 only e 1 and 3 only

Use the Gauss Jordan method to find A if it exists Check your answer by finding AA and A A A 5 5 0 0 4 4 0 2 2 IKTLED Select the correct choice below and if necessary fill in the answer boxes to complete your choice OA A OR The inverse does not exist

6 Find the equation of a line in slope intercept form given the graph 7 X

Solve the equation Find all solution 4 sin 4x 8 sin 2x

answer the following question Leaves Stem 2 3 4 5 6 269 12333 026 39 1279 Find the mean of the data Round the answer to the nearest tenth Mean 31 Simplify 16 32 8

24 Given a line whose slope m is 3 and passes through point 4 0 the graph will go up to the right and cross the y axis at 0 25 Evaluate 7 1

11 Solve 21 x 30 If no solution exists type none in the box If infinite solutions exist type infinite in the box 12 Solve the systems of linear equations using the substitution method y 3x 20 50x 25y 65 O O O 1 5

19 Solve the inequality set Graph the solution on a numberline x 11 9 or x 12 2 O x 10 Ox 10 or x 2 O x 10 or x 2 O x 2 O all real numbers OC

20 Use properties of exponents to simplify and then write the answer in radical form 3121 O 3x4 Ox 243 O 3x 344

33 Solve for y in the equation 10 11 y 34 Solve 10 30x 7 6 2 7 3

9 Find the equation of a line passing through points 4 17 and 24 92 y 10 Write a ratio of 24 teaspoons of a specific ingredient to 4 dozen biscuits State your answer as a fraction with teaspoons as your numerator teaspoons per dozen

Simplity completely 169 x 16 Given two circles all circles are similar with circumferences of 7 cm and 42 cm each find the ratio of their radii State your answer as a fraction

At what speed is the car s fuel economy most efficient Miles per Gallon 55 50 45 40 35 30 25 20 15 10 5 10 20 30 40 Speed mph 50 60 70 80

y L If 2 is the x intercept of line L what is the slope and y intercept of line L slope y intercept O2 4 O 4 O 2 4 K X

3 Graph the inequality 2x 5y 6 Choose the statement that is true about the graph The area above the line is shaded and the line is a dotted line showing it is not included in the solution The area below the line is shaded and the line is a dotted line showing it is not included in the solution The area above the line is shaded and the line is a solid line showing it is not included in the solution

13 Rewrite the following word phrase as a variable expression One less than a number 1 0 O 1 1 O 1 1 O 11 14 Convert to slope intercept form x y 9 y

5 Using a calculator express the following rounded to the nearest hundredth 7

1 The table shows the numbering system used in the United States x and Europe y for shoe sizes Work the problems on a separate piece of paper take a picture and upload Shoe Sizes U S Size 1 3 5 7 9 11 European Size 31 34 36 39 41 44 a Make a scatter plot by hand b Describe the correlation Give a reason for your answer c Write the equation of a trend line Show your work Do not use a calculator 2 The table shows population x and licensed driver y statistics from a recent year Work the problems on a separate piece of paper

Learning Goal from Lesson 12 5 I can compute the annual dividend and annual yield of a stock investment How I Did Circle one I m still learning it I got it 7 Ella Franklin owns 325 shares of ITA stock The purchase price was 37 85 per share Dividends are 1 11 per share Determine a the total annual dividend and b the annual yield to the nearest hundredth of a percent points

Find the area and perimeter of the following shapes 5 mm 3 mm 6 cm 6 mm 12 km 3 km 2 cm 8 km 7 km 6m 11m Am 18m 7 km 5 km 10 km 6 cm 0 5m 10 cm 8 cm 3 5mm 14m 2mm 5 5mm

Write interval notation for the given graph 4 10 9 Choose the correct interval OA 4 7 OB 4 7 O C 4 7 OD 7 4 6 5 4 3 2 1 0 1 2 3 5

Write interval notation for graph a C t P P b d P D

Write interval notation and graph the interval x 8 x 8 What is the interval Type your answer in interval notation

Find the distance between the given pair of points on the number line 1 5 2 4 The distance is Type an integer or a simplified fraction

Name the property illustrated by the following sentence 2 d x 2d 2x Choose the property that is illustrated by the sentence OA Identity Property OB Associative Property OC Distributive Property OD Commutative Property

The averso global temperature increaseT in is expressed by T 103 In where Cg is the preindustrial amount of carbon dioxide C is the curent carbon dioxide level and kiss upp 518 when Care the value of Co Use T03 to find the range of the rise in global temperature T The p me is between 1 and 25 un the final anew Then rundt number

1 point It T R R is a linear transformation such that then the standard matrix of Tis A 1 25 10 34 14 17 Q E 10 and T 34 14 17 CD

15 Solve the equations x 3x cos 2x 1 tan x 2 sin x 0 0 2

5 Evaluate x 3y2 dV where E is enclosed by x y 1 y 0 x 0 JJS z 0 z 10x

the domains of the following functions using interval notation m x h x Domain of m h x Domain of h m x Domain of 1 Add file Question 8 Solve for a log x log x 1 3

Find the equation of the quadratic function y ax bx c whose graph is shown on the right Select three points whose coordinates appear to be integers y Simplify your answer Type an expression using x as the variable

I have 20 000 to invest I plan to diversify and invest in three different investments treasury bills that yield 5 simple interest treasure bonds that yield 7 simple interest and corporate bonds that yield 10 simple interest I want to earn 1390 per year in income from these investments I plan to make my investment in treasury bills to be 3 000 more than my investment in corporate bonds How much money should I place in each investment 20 points

So far this semester we have learned about quadratic equations and the various forms they can take and how we can solve them We looked at how they ca present in our everyday lives as well One example is calculating the area of a room Another example is figuring out a profit This can be from selling lemonade to big businesses figuring out th Figuring out the speed of something for example when you go on a kayaking trip Throwing a ball or a rocket also uses the quadratic equation All of these are ways we use the quadratic equation in life Task Answer the following questions in the discussion board Each question should be answered with at least 2 sentences In your answer you need to mathematical terms 1 Give an example of something you do in your life that uses the quadratic equation If you can t think of one use one of the examples above 2 Explain how the quadratic equation would be used in that situation 3 How has this semester so far helped you re imagine the way quadratics are presented and solved You need to answer each question with at least 2 sentences You are also required to provide a response to one of your classmate s posts Everyone be positive and respectful with comments that help everyone to learn and see others viewpoints For example you can respond to another post to let know that you enjoyed the example they posted and the reason why it was helpful This rubric will help guide your reflection tations Meets Expectations Exceeds Expec