Quadratic equations Questions and Answers

The driving force of the US market economy is the dynamic interaction of 1 producers II consumers III the government O I II and III together OI only O1 11 only

Question 31 Points 2 Capitalism is the free market economy whereas socialism is the innovative economy O equitable economy O equitable and secured economy economy

81 7x 14x 2 x 8x 12 3x 9 x 3x 18 7x 14x x 3x 18 X 8x 12 3x q

73 Use the graph of f x to evaluate f 4 Ay 84 48 46 4 194 2 21 2 6 8 LO 8 x

Consider the function 2 3 Over which interval is the function increasing o 3 1 o 1 1 0 1

Graph the system of inequalities Tell whether the system is bounded or unbounded and list each corner point x y 2 1 2y4 2x y 4 I 20 y 20 Region is bounded Input bounded or unbounded Corner Points 2 0 1 0 0 1 If there is more than one corner point type the points separated by a comma i e 1 2 3 4

Find the volume of the composite solid which is a cone atop a hemisphere 4 Show your work here Hint To add the pi symbol m type pi

A Ferris wheel that has a diameter of 60 feet completes one rotation every 80 seconds The situation is modeled by the graph shown Assuming you board the Ferris wheel at its lowest point which is 5 feet above the ground which trigonometric function would represent your height h t above the ground after t seconds O O O O 75 50 25 h t h t h t h t W 100 50 60 cos 30 cos 60 cos t t 5 7 5 30 cos 77 t 35 40 35 150

nships Independent Practice 1 Name each shaded angle in three different ways a 4 Y b adjacent M

Find the volume of the composite solid which has a circular base 5 2 13 4 Show your work here Hint To add the pi symbol m type pi

16 Solve this inequality 5x 4x 54

Find the length of the unknown side of the given triangle C 5m 7m Q

Find the length of the unknown side of the given triangle 3 m 9m C G C

An oblique triangular pyramid has a base area of 8 square units and a volume of cubic units What is the height of the pyramid 160 3 Show your work here

Factor the following complet Sorry that s incorrect Try again 75x 75x 18x

What solid 3D object is produced by rotating the rectangle about line a CO 6 17

Doctors use radioactive lodine as a tracer in diagnosing certain thyroid gland disorders This type of iodine decays in such a way that the mass remaining after t days is given by the function m t 3e 0 089t where m t is measured in grams a Find the mass at time t 0 grams b How much of the mass remains after 9 days Round your answer to three decimal places 8 972 x grams

Simplity 3 1 3 s w 5 Write your answer using only a positive exponent Assume that the variable represents a positive real number 010

Sketch a graph of x 3 4 7 6 5 4 3 2 21 7 6 5 4 3 2 41 2 3 4 5 6 y 1 9 1 1 2 3 4 5 6 7

In your own words explain t 5x 1 4 7 5x 1 4 7 5x 1 16 49 5x 34 x 34

Factor the following completely 75x 75x 18x

Question If g x 2x4 3 3 determine g 2 Do not include g 2 in your answer

A weight is tossed upward from a cliff that is 9 meters high at a speed of 7 meters per second Its height in meters as a function of seconds is given by h t 4 9t 7t 9 What is the height of the weight at 1 second If necessary round your answer to the nearest tenth of a meter Do not include units in your answer

Question For the polynomial r x 4x 9x 2 what is r u 2 Do not include r u 2 in your answer yer holow

Write the equation of the circle centered at 1 2 with radius 13

If x 1 is a factor of x 5x 7x 3 what is the root of the polynomial None of the choices are correct 1 O 3 O 1

Which of the following choices is a prime polynomial O x a O x a O x a O x ax O None of the choices are correct

Charlie works 4 times faster than Ty Together they finish a Ratex time 1 hours does it take Ty working alone job in 16 hours How many

x is equivalent to which of the following choices x a x a x ax a O None of the choices are correct x a x ax a x a x ax

Suppose that the f x a b if f x passes through the points 4 7 and 7 12 find a round to 4 decimal places Your Answer

x a is equivalent to which of the following choices O x x a O x a x a None of the choices are correct x a x a x a

2 The expression x 9 has O1 factor O None of the choices are correct O 3 factors O2 factors O 0 factors

Which one of the following choices is equivalent to x X 728 None of the choices are correct O O x O x2 3 O X3 1 3

xx is equivalent to which of the following choices O None of the choices are correct O 72 3 O O 3 733 728 XQ 3

x is equivalent to which of the following choices O 728 None of the choices are correct O 3 O 2 2 3 Finfin

Simplify x 2x 1 divided by x 1 1 x 1 O None of the choices are correct O x 2 O x 1 O X O x 2

The expression ax bx ay by has a factor of Ox y O ax by Ob x O None of the choices are correct O a y

When x 5x 2x 3 is synthetically divided by x 6 the numbers that are put to the right of the box 6 are O15 23 O 1 52 3 O 16 None of the choices are correct 1 6

44 The function graphed below is increasing on which interval y 84 6 8 6 4 NAG 00 4 2 2 4 6 8 F x 2 G 2 x 2 H 0 x 2 J 2 x

3 d is equivalent to which of the following choices O x a x ax a O x a x ax a O x a x ax a x a O None of the choices are correct

Simplify 2x 2x 5x 3 divided by x 2 O None of the choices are correct O 2x 2x 5 O 2x 6x 17 1 x 2 O 2x 1 O 2x 2x 9

According to the zero product property if x 2 2x 1 0 then O None of the choices are correct O 2x 1 0 O x 2 O 2x 1 0 O x 2 0

Suppose that Janet wants has 1 900 to invest in an account that pays 9 00 A P I compounded continuously How much will have in 18 years round up to the nearest integer Your Answer

Question Find g 2 for the polynomial g x 6x 6x 1 Do not include g 2v in your answer 623 62

2 A root of x x 20 falls between O O O O O 5 5 6 5 None of the choices are correct 2 5 3 5 3 5 4 5 4 5 5 5

45 What is the end behavior of the graph of the function f x 2x Up on the left down on the right Up on the left up on the right Down on the left down on the right Down on the left up on the right A B C D 2x 1

Which of the following is equivalent to x 1 x x 1 O x O x 1 O x 1 Ox x x 1 None of the choices are correct

Jill wants to rent a car for her 5 day vacation The Lemons R Us company charges 10 per day and 10 cents per mile The Drive U Crazy company charges 25 per day and 3 cents per mile If Jill plans to drive about 1300 miles which plan should she choose and how much will it cost her O Drive U Crazy because it will cost 164 Lemons R Us because it will cost 180 O Lemons R Us because it will cost 164 O Drive U Crazy because it will cost 180 O None of these choices are correct

Simplify the following rational function assuming the denominator is is nonzero x 2x 8 x 4x 12 Give your answer as a simplified rational expression Do not include f x or the domain restrictions in your answe Drouide YQUE DE f x

Two babysitters charge the following Fred charges 4 per hour George charges 1 per hour in addition to a base charge of 6 Use graphing to find the point where the two will charge the same amount O 3 hours 10 1 hours 5 O 8 hours 2 O2 hours 8 None of these choices are correct