Quadratic equations Questions and Answers

The expression x y xy x y5 2 xe equals where yd the exponent e of a is the exponent d of y is Question Help Message instructor Post to forum I

Given f x find the average rate of change of f x on the interval 10 10 h Your answer will be an expression involving h 1 x 5 Question Help Video Message instructor

Find the average rate of change of f x 5x 2 on the interval 5 t Your answer will be an expression involving t

15 Which function matches the graph A g x x 5 3 8 g x x 31 5 C g x x 31 5 D g x x 5 3

Find the tangent of ZX W 7 tan X 91 42 Write your answer as an integer or as a decimal rounded to the nearest hundredt L X

Add in the indicated base 4537 6467 4537 6467

nvert the numeral to a numeral in base 12 5505

Evaluate the expression when 5 7n 6

Graph the equation y x 4 Let x 3 2 1 0 1 2 and 3 Find the following y values Then choose the correct graph of the equation to the right X 3 2 1 0 1 2 3 y T C O A O C Ay Ly OU OB O D Ay

Evaluate the expression when c 7 4c 5

Find all values of x such that y 0 y 2 x 7 x 3 x 1 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The value s of x for which y 0 is are Simplify your answer Use a comma to separate answers as needed B y 0 for all values of x C There are no values of x for which y 0

Solve and check the linear equation 3 x 5 19 2 x 4 What is the solution Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is B The solution set is x x is a real number OC The solution set is

Find seven ordered pairs to the equation y x 3 Then determine its graph X 3 2 1 0 1 2 3 Choose the graph that connects the points OA OC Ay OB O D Ay

Find the greatest common factor of these two expressions 85 24w vu and 28w u

Find the greatest common factor of these two expressions 18u7ws and 30m w x

Itranscript You are choosing between two health clubs Club A offers membership for a fee of 19 plus a monthly fee of 22 Club B offers membership for a fee of 22 plus a monthly fee of 21 After how many months will the total cost of each health club be the same What will be the total cost for each club In months the total cost of each health club will be the same

For the function g t 41 2 1 what is g k 3

Itranscript Suppose the average yearly salary of an individual whose final degree is a master s is 34 thousand less than twice that of an individual whose final degree is a bachelor s Combined two people with each of these educational attainments earn 119 thousand Find the average yearly salary of an individual with each of these final degrees The average yearly salary for an individual whose final degree is a bachelor s is thousand and the average yearly salary for an individual whose final degree is a master s is thousand

Given that g x x 2x 5 find g o g 2 gog 2 Simplify your answer

4 Describe the error made in solving the equation W k 2 x 2 2x 4 x x 2 Theres no square root of a negative number so the equation has no solution

Write the Mayan numeral as a Hindu Arabic numeral 10 M 11 2 1 3 www 13 14 5 15 16 7 8 9 18 19

Write the Mayan numeral as a Hindu A 10 11 3 www 13 4 14 5 15 E 7 7 16 17 The equivalent Hindu Arabic numeral is 311 8 18 9 19

Writing Variable Expressions Two Operations Directions Write a variable expression for each verbal expression the product of 5 and h then increase the result by 3 9 less than k then add a to the result the quotient of z and 8 then decrease the result by 10 the product of z and 3 then take away 9 from the result

Find the GCF greatest common factor of the following terms 10 14 45

Consider the following quadratic equation x 2x 1 9 Step 2 of 2 Solve the quadratic equation by factoring Write your answer in reduced fraction form if necessary r your answer opens in new window 2 Points

Consider the following quadratic equation x 2x 1 9 Step 1 of 2 Using the standard form ax bx c 0 of the given quadratic equation factor the left hand side of the equation into two linear factors Keypad Keyboard Shortcut

Write the number as a Babylonian numeral 185 Choose the correct answer below OA www OB VV WWW Oc ww www D WwWw wWwwWw Babyloni Hindu Ar

Simplify the expression 417 000 x 0 0002 using scientific notation and express your answer in scientific notation Answer

Write the Hindu Babylonian numeral 14 Which of the following is the correct answer OA WWWWWW OB OC WWW OD WWW Hindu rabic

Write the Babylonian numeral as a Hindu Arabic 1 meral

Answer parts a through c about the Mayan numeration system a The symbol represents the numeral b The symbol represents the numeral c The symbol represents the numeral 1

Translate into algebra Take 6000 and multiply it by 1 04 twice First translate using multiplication notation use for multiplication Next translate using exponent notation since exponents are just a shorthand for repeated multiplica use for exponentiation Evaluate either expression Round your answer to two decimal places Take 6000 and multiply it by 1 04 twice and you end up with

3 David and Alex notice a blue ice rock falling from an airplane at an altitude of 500 meters How long will it take the rock to reach the ground Hint Write a projectile equation to model the behavior

1001 four 211 four The difference is our Simplify your answer

Vlor of the graph of each polynomial function a f x 5x 5x 2x 7 A b f x 3x 6x 4x 9 c f x x x 3 5x 2 Falls to the left and rises to the right O Rises to the left and falls to the right O Rises to the left and rises to the right Falls to the left and falls to the right O Falls to the left and rises to the right O Rises to the left and falls to the right O Rises to the left and rises to the right Falls to the left and falls to the right O Falls to the left and rises to the right Rises to the left and falls to the right Rises to the left and rises to the right O Falls to the left and falls to the right

Write the Mayan numeral as a Hindu Arabic numeral 10 11 N 2 12 3 www 13 4 14 5 15 I to 16 7 17 8 18 9 19

The numeral given below is in a base 5 numeration system Assume the numerals in this system and their equivalent Hindu Arabic numerals are as shown to the right Write the Hindu Arabic numeral equivalent to the numeral given below 005

Two mechanics worked on a car The first mechanic charged 45 per hour and the second mechanic charged 65 per hour The mechanics worked for a combined total of 25 hours and together they charged a total of 1225 How long did each mechanic work First mechanic hours Second mechanic hours X S

A family has two cars The first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas During one particular week the two cars went a combined total of 1600 miles for a total gas consumption of 45 gallons How many gallons were consumed by each of the two cars that week First car gallons Second car gallons X

1 The equivalent Hindu Arabic numeral is 777600000 Symbols Hindu A Symbo

1 point Let an be the sequence defined by the recursive relation a nan 1 with initial term a 1 Use iteration to find a closed formula for the sequence Simplify your answer whenever possible an n n 1

1 50 1 00 50 Weight pounds Time months 1 2 3 4 5 6 7 8 9 10 6 Write a piecewise function to describe the graph f x Write a piecewise function to describe the graph f x

Graph a piecewise function 1 2 if x 3 if 3 x 1 if 1 x 4 4 f x Graph a piecewise function 3x 1 if x 1 if x 1 f x x x 4 5 5 0 5 5 5

Evaluating a Piecewise Function Graph a piecewise function 2x 1 if x 1 f x 3x 2 if x 1 Determine the piecewise function from the graph 4 3 2 1 987 5 8t St Find f 2 3 4 5 0 5 5

16 124 10 Valleys occur when you can look in the neighborhood of the point to the left and to the right and you are the lowest output Determine the intervals for which the function is increasing and decreasing Determine any relative extrema Increasing Decreasing Local Max Local Min at x at x

The functions f and g are defined as f x 6x 7 and g x 1 2x a Find the domain of f g f g f g fg ff and f g x and x b Find f g x f g x fg x ff x The domain of tt is 0 00 Type your answer in interval notation The domain of Type your answer in interval notation 1 x is 0 2 u 2 2 00 The domain of 9 Type your answer in interval notation 3 x is

For the function f x 8x 1 construct and simplify the difference quotient The difference quotient is f x h f x h

Question 5 8 points Saved Listen Which of the following equalities is NOT correct OA 1 cm 10 2 m OB 103 g 1 kg C 10 3 mL 1 L OD 109 nm 1 m OE 1 L 10 dL

An ice cube is dropped into a cup of hot tea How does the kinetic energy of the ice and tea change OA The kinetic energy of the ice and the tea decreases OB The kinetic energy of the ice de increases decreases and the kinetic energy of the tea OC The kinetic energy of the ice increases and the kinetic energy of the tea decreases OD The kinetic energy of both the ice and the tea increases OE The kinetic energy of the ice cube and hot tea does not change

Use the table to write the given Hindu Arabic numeral 101 Choose the correct lonic Greek numeral below a ap numeral as an lonic Greek Da 1 2 3 Y 48 5 6 f 75 8 n 90 10 L 20 K 30 A 40 50 v 60 70 o 80 T 90 9 100 P 200 300 400 500 600 700 800 900 POTD X w 2