Quadratic equations Questions and Answers

if triangles ABC and XYZ are similar what is the length of side X A 45 b B 24 17 are similar what is the length of side x X 15 17 Y X Z

Factor 45x 20y Next

3 A table of selected values is given for a function f f x a 5 2 0 7 2 7 a Find f 2

7 Teratogenic studies of insulin glargine were undertaken in rats at doses up to 0 36 mg kg day This is equivalent to which of the following a 360 cg lb day b 792 mcg lb day c 360 mg lb day d 163 6 mcg lb day

By determining f x f x 4x lim h 0 f x h f x h find f 3 for the given function

Solve the quadratic inequality 16 9x 0 two different ways and show that the result is the same with both methods Show steps for solving algebraically If solving graphically sketch and label the graph and explain

16 15 654321 Is it a function Domain Range Is it a function Domain Range Is it a function

29 Express in simplest radical form 6 25xBy 2 20 x 18 O 8x4y6 12 O 2x y 2x y O 8 x y

hich of the following are NOT functions I x y 1 II y x 1 III y x 1 IV x 1 8 22

13 In AABC leg a 16 and hypotenuse b 24 What will the leg c equal if this is a right triangle

21 Given two circles whose radii are 35 and 28 the ratio of their areas is O5 to 4 O 25 to 16 O 10 to 16 O 25 to 8 22 How much water should be added to 55 oz of 55 acid solution to dilute it to a 45 acid solution O 11 64 oz O 1 222 oz O 12 22 oz

Question 11 If an island s only residents are penguins and bears and if there are 18 heads and 50 feet on the island how penguins and how many bears are on the island A 13 bears 5 penguins 11 bears 7 penguins B C 7 bears 11 penguins 5 F 8 bears 10 penguins

3 If there are 43 people in a school choir and 10 are girl what is the probability that a person chosen at random will be a boy State your answer as a fraction x 9 Solve for x 25 O 11 O 1 O O cannot be done 69 10 What is the scale factor if a 10 by 12 photograph is enlarged

35 Given the set of all odd integers from 1 to 63 what is the probability of choosing a number that is a multiple of 7 If you enter your answer as a decimal round to the thousandths place 36 Solve for a O 1 73 O 1 53 O 0 92 O 1 3 6x 2 93403 7

28 Consider a typical die each side with one more dot than the previous side beginning with one dot There are six sides to the die a cube You throw a three on your first throw If you picked up the die and threw it again what is the chance of getting a three again If you enter your answer as a decimal round to the thousandths place x 29 Given two circles V and W with radii 3 in and 7 in respectively the ratio of the areas is Oin Oin both of these choices are equivalent

mplify the first trigonometric expression by writing the simplified form in terms of the second expressic tan x cot x sec x sin x

Find the area of the figure A Simplify your answer m m E 3 DE 11 m 17 m 7 30 m

What is the scale factor if a 6 in by 6 in photograph is enlarged to a poster that is 1 5 ft by 1 5 ft O 3 O 04 O 8 Given the set of all even integers between and including 30 to 6 what is the probability of choosing a multiple of 3 from this set O O C 13 O 17

Use the negative exponent rules to simplify 9y 2 C 2 7

Evaluate the expression when x 3 and y 4 x 2y

Simplify each expression by combining like terms 9n 4n 6

Problem 3 Given F R R a globally Lipschitz function consider the ODE u F u u 0 uo Prove that the solution is global in time

The ray y x x 20 contains the origin and all points in the coordinate system whose bearing is 45 Determine the equation of a ray consisting of the origin and all points whose bearing is 120 The equation of the ray is y X 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

A flagpole has a height of 50 yards It will be supported by three cables each of which is attached is 20 yards from the base of the pole Find the total number of yards of cable that will be required The flagpole will be supported by a total of Round to the nearest whole number as needed of cable square yards yards cubic vards LEED the flagpole at a point 2 yards below the top of the pole and attached to the ground at a point tha

62 ft A slow pitch softball diamond is actually a square 62 ft on a side Ho home to second base It is Round t from home to second base tenth as needed yd in ft

Find the unknown side of the triangle The length of the unknown side is ft O

A Ferris wheel at a carnival has a diameter of 60 feet Suppose it turns at a rate of 120 revolutions per hour a Find the angular speed of the wheel in radians per hour b Find the linear speed of a passenger in feet per minute Do not round any intermediate computations and round your answer to the nearest whole number a Angular speed radians per hour b Linear speed feet per minute X

The probability a 30 year old woman survives the year is 999363 She pays 259 for a one year 219000 life insurance policy What is the expected value of the policy for the insurance company Round your answer to the nearest cent

2 1 2 10 If each side has a scale factor of 1 in to 8 ft the actual perimeter is and the actual area is 2

Describe the difference between the formulas needed to solve the following problems How much fencing is needed to enclose a circular garden How much fertilizer is needed for a circular garden Fill in the blanks in the sentences below To find the amount of fencing the formula for the of a circle should be used this formula is T of a circle should be used this formula is with units of hts 0 of 1 with units of C 2 r To find the amount of fertilizer the formula for the Save

0 HW Decide whether perimeter or area would be used to solve a problem concerning the measure of the quantity a Sod for a lawn b Carpeting for a bedroom c Baseboards for a living room d Fencing for a yard e Fertilizer for a garden f Tile for a bathroom g Determining the cost of planting rye grass in a lawn for the winter h Determining the cost of replacing a linoleum floor with a wood floor a The Part 1 of 8 would be used to solve a problem concerning the measure of the sod for a lawn area perimeter

whether the following statement makes sense or does not make sense and explain your reasoning I used A 2 to determine the amount of fencing needed to enclose my circular garden Choose the correct answer below A 2 This does not make sense In order to determine the amount of fencing needed to enclose my circular garden use the equation C of the circle nd zd where C is the circumference and d is the di B This does not make sense In order to determine the amount of fencing needed to enclose my circular garden use the equation C d where C is the circumference and d is the diam of the circle OC This does not make sense In order to determine the amount of fencing needed to enclose my circular garden use the equation C d where C is the circumference and d is the diamete of the circle D This makes sense

Determine whether the statement below makes sense or does not make sense and explain your reasoning I find it helpful to think of a polygon s perimeter as the length of its boundary Choose the correct answer below ALLE OA The statement does not make sense because the length of its boundary is longer than the sum of the length of its sides B The statement makes sense because the length of its boundary is equal to the sum of the length of its sides C The statement does not make sense because the length of its boundary is shorter than the sum of the length of its sides D The statement does not make sense because the boundary does not include sides inside the polygon

Decide whether perimeter or area would be used to find the quantity of track needed for a tabletop railroad Choose the correct type of measurement perimeter Question 21 GA 1 77 area

Given two circles whose radii are 5 and 15 the ratio of their areas is O1 to 18 O 10 to 18 O 10 to 9 O1 to 9 2 If the sales tax is 8 percent what is the total cost of a 50 01 item O 54 93 O 54 51 O 54 39

a Determine the two consecutive whole numbers that the square root 22 is between b Approximate the square root 22 to the nearest whole number Do not use a calculator a The value of 22 is between and Type whole numbers Use ascending order Next q

Write the sentence as an equation Let the variable x represent the number Four times a number is 24 The given sentence written as an equation is Type an equation using x as the variable

Write the following phrase as a variable expression Use x to represent a number the sum of a number and ten The translation is

Write the fraction in lowest terms 9 12 9 12 Type a whole number or a simplified fraction

Perform the indicated operation a a 3a 12a 3 2 4 10

Perform the indicated operation 4xy y 4xy x y S

Perform the indicated operation 7y 7 8y y 5 F lo 2 coin

For the following find the quotient using long division x 13x 42 x 7 x 13x 42 7 2

Find the quotient using long division x 2x 12x 8 x 2 x 2x 12x 8 x 2 Simplify your answer If there is a remainder type your answer in the form quotient

Find the quotient using long division 4x 4x 8 X 2 4x 4x 8 x 2 Simplify you 11 If th opower in the form quotient

Find the quotient and remainder using long division x 8x 12x 16 x 4 If there is a remainder type your answer in the form quotient 11 x 8x 12x 16 X 4 remainder divisor

Simplify by performing long division 35y 11y 10 5y 2 35y 11y 10 5y 2 Simplify v

Divide and simplify 49n4 14n 3 7n

Find the quotient and remainder using long division x 6x 7 2 x 7 x 6x 7 x 7

Divide and simplify 6q4 24q 2 40 604 210