Quadratic equations Questions and Answers

B Let y u and y d be the solutions for the equation below What is the value of u d 0 2y 1 8 y

Ryan a consumer electronics salesperson earns a base salary of 1400 per month and a commission of 7 on the amount of sales he makes One month Ryan received 1855 paycheck Find the amount of his sales for the month Ryan had sales of for the month

Find the sum of the solutions for f x x 4x 12

2 4 Find the solutions for y x 5x 6 A x 2 3 B x 2 3 C x 1 6 D x 1 6

A lady worked 44 hr one week and earned a 525 paycheck She earns two times and a half 2 5 times her regular hourly wage for the number of hours she works in excess of 40 What is her regular hourly wage Her regular hourly wage is Type an integer or a decimal

Money is borrowed at 9 simple interest After one year 849 11 pays off the loan How much was originally borrowed The amount of the original loan was www

Schools 7 Which of the following could be an equation for the graph below Select all that apply Then justify your answer lect all that apply A x x 6 B x 5x 6 C x 8x 15 D x 5x 6 E x 6x 8 Explain

To finance her community college education Sarah takes out a loan for 4200 After a year Sarah decides to pay off the interest which is 5 of 4200 How much will she pay Sarah will pay

The chart shows a country s annual egg production Model the data in the chart with a linear function using the points 3 63 3 and 5 67 9 Predict egg production in 2010 What is the linear model for the data y 2 3x 56 4 Type an expression in terms of x Round to the nearest tenth What will egg production be in 2010 billion Round to the nearest tenth Year x 1994 0 1995 1 1996 2 1997 3 1998 4 1999 5 2000 6 Egg Production y in billions 59 4 60 3 61 8 63 3 64 8 67 9 69 4

Write an equation for a line passing through the given point that is parallel to the given line Then write a second equation for a line passing through the given point tha perpendicular to the given line 8 7 x 1 The equation of the parallel line is x

4 BONUS If x a and x b for the function f x x 6x16 and a b find b a

3 Identify the solutions for the r 10 3r

5 1 point X John starts out with 10 in his savings account and his grandparents add 10 a week Write a recursive formula to represent how much money John has any time after two weeks f n f n 1 10 given f 1 10 f n 10 n 1 given f 1 10 f n f n 2 10 given f 1 10 f n 10f n 1 given f 1 10

3 1 point A family swimming pool holds 60m of water The function below gives the cubic meters of water in the pool taking into account water lost to evaporation over x days How much water does the pool have after 7 days f x 60 0 18x 8 39 m3 59 82 m 58 74 m3 5 74 m

1 Without looking at your notebook determine the key features of quadratics graphically algebraically and in a set of points Graphically Algebraically

4 1 point Rearrange the equation to isolate E 20 m O O m E 2 2m E m E 201 2mv E

1 Draw a line perpendicular to the X axis to the right and 5 units from the Y axis 2 Draw a line M perpendicular to the Y axis below and 4 units away from the X axis 3 if there is a line A through point B 4 5 and point C 4 5 what is the position of the line about the x axis and y axis

1 point What is the equation of the inequality graphed below y 3x 2 y 3x 2 y2 3x 2 y 3x 2

Factor the polynomial f x 2 102 20x2 40x 96 given that 6 and 2 are zeros Factored form f x Then identify all real zeros If there are multiple zeros separate the answers with commas X

A sine function has the following key features 1 4TT Frequency Amplitude 2 Midline y 2 y intercept 0 2 The function is not a reflection of its parent function over the x axis Use the sine tool to graph the function The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point Move Sine Undo Redo x Reset

Calculator The temperature of a substance during an experiment can be modeled by the function f x 7 5 cos T 31 4 into the experiment What is the greatest temperature the substance reached during the experiment Round to the nearest tenth of a degree if needed Use 3 14 for TT Enter your answer in the box where 31 4 where f x is the temperature C and x is the number of minutes

5 1 Here is a visual pattern Sketch figure 4 Figure 1 Figure Dots Figure 1 5 2 Complete the table with the number of dots in each figure Figure 2 1 Reflect 1 2 2 Figure 2 Figure 3 3 Explore 6 1 Make your own pattern by creating figures 1 and 3 4 Figure 3 6 2 How many dots will figure 8 of your pattern have 90000000 6 10 Figure Dots 1 2 3 3 Put a heart next to the problem you feel most confident about Use the space below to ask a question or share something you are proud of

Which graph represents O 1 08 Quiz Create Trigonometric Models f x 6 cos 4x AM MAA 0 5 0 5 0 5 6 otv 4 0 5

T Graph g t 4 sin 3t 2 Use 3 14 for TT Use the sine tool to graph the function The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point Move Sine a 7 Undo 000 Redo x Reset

Because a 11 a a for any real number a we call 1 the additive identity

1 point A house and lot together cost more than 89 000 The house costs 1000 more than seven times the cost of the lot How much does the lot cost less than 11 000 less than 14 000 more than 14 000 more than 11 000

6 1 point In the equation below solve for x a 12x m x 12m 12a x X 22 62 m a 12

The Commutative Property of Addition states that for any real numbers a and b a b 0 b b a 1

1 5 Let 2 be a set and Fa C P a E I an arbitrary collection of o algebras on We assume that I 0 otherwise we don t make any assumption about the index set I i Prove that is a o algebra nFa aEI F

Evaluate the following expression 1 4 5 2 6 2 1 4 2 5 2 6 Type an integer or a simplified fraction

Evaluate the expression 19 6 23 19 6 2

15d5 45d 6n 30n 42 8a4 24a 40a 100z 50z6 75z5

usoidal Graphs What is the maximum of the sinusoidal function Enter your answer in the box 2 10 A um Ay 8 4 1 2 3 4 5

What is the maximum of the sinusoidal function Enter your answer in the box 0 2 10 8 0 um 4 8 6 8 10

Graphs What is the minimum of the sinusoidal function Enter your answer in the box 2 0 www A 10

A magician has 6 rabbits Each rabbit weighs the same The combined weight of all the rabbits is 8 4 kilograms a Let w be the weight of each rabbit in kilograms Write an equation that can be used to find w First choose an appropriate form Then fill in the blanks with the letter w and the numbers 6 and 8 4 0 0 0 0 0 00 0 0x00 0 0 X S b Solve your equation for w to find the weight of each rabbit kilograms X 5

Write the following expression in exponential form 4 9 9 Do not evaluate

Evaluate the following expression 2 2 8 1 5 2 2 2 8 1 5 2 2 11 2 Simplify your answer

Evaluate the following expression 7 5 4 7 5 4 2 Simplify your answer

Step by Step Solution Step 1 and 2 Evaluate the expression in the parentheses first Evaluate the expressic containing exponents if present 4 5 9 3 4 5 Evaluate 9 3in the parentheses

Evaluate the given expression 5 4 7 2 2 5 4 7 2 2 Simplify your answer

Evaluate the following expression 14 5 5 14 6 5 5 5 4 3 4 3 4 Type an integer or a simplified fraction

Evaluate the following exponential expression 3 1 7 0 2 Type an integer or a simplified fraction

Insert parentheses to make the following statement true 3 4 11 4 Choose the correct answer below OA 3 4 11 4 OB 3 4 11 4 OC 3 4 11 4 OD 3 4 11 4 1

Write the following expression in exponential form 7 7 7 7 7 7 Use integers or fractions for any numbers in the expression

Find the product of the following real numbers 1 3 3 3 16 Type an integer or a Type an integer or a simplified fraction

Use an associative property to evaluate the expression 34 67 67 34 67 67 Simplify your answer

Use the Commutative Property of Addition and the Additive Inverse Property to find the following sum of real numbers 8 7 8 15 2 4 15 8 15 24 8 15 Type an integer or a simplified fraction

3 1 point 48 2 2 6 True False Previou

1 point Solve the radical equation 52 x 4 no solution O O x 14 2 x 5 2 2 14 3