Quadratic equations Questions and Answers

3 Using a compass and straightedge construct a line that passes through E and is parallel to m Leave all construction marks

A student cuts a 12 inch piece of wire into two unequal pieces One piece of length x is bent into the shape of a square and the second piece is bent to make an equilateral triangle A Find a function to model the total combined area of the two figures Note that the area of an equilateral triangle can be defined by the formula s where s is the length of the 3 Area 4 sides of the equilateral triangle B Use a graphing utility to identify where the cut should be made in order to minimize the combined area of the shapes C What does the y intercept of the function represent in the context of the problem identified BIUS Font Size

h x y 2xy 3x 4x y 8 What is the value of Oh x y dr when x 1 and y 1 1

For the sequence defined by a1 3 and an 4 an 1 which of the following is an equivalent sequence An An O an An An 4n 1 4n 3 4n 4 3n 4 3n 4

3 Find p 2 for p x x 3x 2x 5 P 2

Plot the point Then plot the point that is symmetric to it with respect to a the x axis b the y axis c the origin 5 7 Plot the

If the graph of an equation is symmetric with respect to the x axis and 3 is a y intercept of this graph name another y intercept The known y intercepts of the graph described above are 3 and Type an integer or a simplified fraction

Given that the point 2 9 is on the graph of an equation that is symmetric with respect to the origin what other point is on the graph The point is also on the graph of the equation Type an ordered pair

a Find the intercepts of the graph of the equation b Test the equation for symmetry with respect to the x axis the y axis and the origin c Graph the equation by plotting points y x 7

3 1 point Determine the number of outcomes size in the sample space 5 A computer is used to randomly select a number between 1 and 7000 Event A is selecting the number 875 Type your answer Previous

A hyperbola has an equation of 2x2 5y2 10 find the equation of the conjuage diameter if the equation of the diameter is x 5y 0

Your history teacher gives you a list of eight study questions Five of the eight I will be on the next test How many different combinations of five can the teacher choose from the eight study questions Enter

Choose the equation for the graph below a y b y c y d y e y x 3 x 2 8 x 4 3 x 2 x 3 2x 4 1 x 1 Enter

How much would you have to deposit in an account with a 6 5 interest rate compounded continuously to have 5000 in your account 12 years later Roun P

Solve the equation 6 2 In x 7 x X Round to the nearest hundredth Enter

A Identify the graph for the equation y 6 1 x 60 36 24 12 4 2 24 B 60 48 36 44 12 4 2 24 C 60 48 36 4 2 24 12 4

A Identify the graph for the equation 3 y 3 x 3 2 6 8 24 B 7649 2468 C 6 4 2 8 6 4 2 N N

29 Write the following in scientific notation 0 0000009114 O9 114 x 10 O9 114 7 O9 1147

25 Write the following in decimal notation 8 724 x 10 O O 872400000000 O 0 00000000008724 O 0 000000008724 O 8724000000

13 Rewrite using only positive exponents 3 x y 4z 512 729 O512 7292 O7292 512 729 51225

2 Rewrite using exponents Do not evaluate 8x8x8x6x6x6x7x7x7x7x7 O 846271 8 x 6 7 3 3 5 O 8 6 7 3 3 5 2363775

1 Since birth Harold has had a savings account that has been growing at a rate of 1 per year The amount of money in the account can be modeled by the equation y P 1 01 where y is the value of the account and is the number of years and P was the original deposit amount How much money is in the account if Harold is 60 years old and the original deposit was 4000 O 6987 31 O 7575 06 O 7266 79 O 6553 25 OC M

8 Solve the exponential equation 16 3

9 Solve the equation 2 22 3 13x 36 Ox 5 Ox 4 x 4 O x 1 O None of these answers are correct

4 Solve the equation for a 1015 10 10 2 x 8 0x 1 0x 0x 1 0x 1 0x f None of these answers are correct

exponential equation 2 Solve the 25 625 4 O x 8 O x 2 Ox x 17 Ox 9 O None of these answers are correct

Divide and simplify 27 18 2 1 72 7 T 1 14 1 7r 50 for 8 1 9 04 r 1 for 8 1 9 8 for r 8 1 9 for 8 1 9

Question 23 0 1 pt 499 Details The monthly service charge in dollars from a phone company is C t 25 0 1t where t is the number of minutes talked that month The slope in this equation is Enter an integer or decimal number more What does the slope mean in this context O A 1 minute phone call costs 0 1 dollars O Every additional 0 1 minutes of call time costs an additional 1 dollar O The customer is charged 0 1 dollars before any minutes are used O Every additional minute of call time costs an additional 0 1 dollars The y intercept in this equation is What does the y intercept mean in this context O The customer is charged 25 dollars before any minutes are used O The customer talked for 25 minutes in a month OA 25 minute phone call costs 1 dollar OA phone call costs 25 dollars per minute Ovartion Help FlVideo Message instructor

2 Evaluate express final answer in scientific notation 3 4 10

12 Write the following in scientific notation 636000000

0 Rank the following numbers in ascending order from smallest to largest 1 largest value 2 smallest value 3 middle value a 2 3 x 10 b 8 0 x 1 c 6 5 x 1

5 Rank the following numbers in ascending order from smallest to largest 1 largest value 2 middle value 3 smallest value

2 Write the following in scientific notation 0 000005697 O 5 697 x 10 6 O 5 6976 O 5 697 x 107 O 5 697 10 7 O 5 697 6

3 Write the following in scientific notation 2400000

1 Write the following in scientific notation 6260

7 The population of Pleasanton is 4712 and has been growing steadily at 17 for the last 5 years What will the population of Pleasanton be 14 years from now if the growth rate remains the same population in 14 years

13 Rewrite using only positive exponents x y 3 O 125 y 82 A O 83 125 24 O 125 O 8 2 82 125 3

12 Evaluate the expression if z 3 5 6z answer

11 Evaluate 8 State your answer as a fraction 8

Evaluate 3 State your answer as a fraction

6 Evaluate 4 4 State your answer as a fraction 4 x

4 Evaluate the following expression if n 2 and m n m

5 Evaluate the following expression if z 1 5 2

13 As a newborn in 1949 Hal s grandparents gave him a gift of 1000 in a savings account with a simple interest rate of 4 per year As Hal aged his gift grew and he withdrew the money so he could transfer it to his sons The growth of his account can be modeled by the equation y 1000 1 04 where y is the value of the account and x is the number of years What are some of the possible limitations of the parameter in this scenario in relation to the value of the account More than one answer may be correct check all that apply Hal s birthdate is a parameter because that s when the money was deposited The date of withdrawal is a parameter because that s when the account growth would stop The number of sons Hal has is a parameter because we need to know how to split the inheritance O Hal s age is a possible parameter because he would have to withdraw the money while still alive None of these statements are possible parameters

what this graph might explain Write your explanation in the space provided

of what this graph might explain Write your explanation in the space provided

14 In an statewide golf association the players hold a tournament If 1477 players qualify for the tournament and half of the players are eliminated in each round of games how many players are left after 2 rounds O 327 O 402 O 351 O 369

exponential growth or decay y 0 9 0 76 O decay function O growth function O This is both a growth and a decay function O This is neither a growth nor decay function

Use cubic regression to find a function that fits the following points 2 16 1 5 3 59 6 440 x x

4 2 42 2 4 10 2 4 A y x 1 x 1 x 3 C y x 1 x 1 x 3 Identify the equation for the graph B y x 1 x 1 x 3 D y x 1 x 1 x 3