Quadratic equations Questions and Answers

Question 4 Condense the expression log4x O log4 5x

Simple Interest Heather plans to invest 5 000 for 8 years Capitol Bank offers an 8 year CD at an annual rate of 5 using simple interest How much is his investment worth at the end of the 8 years 2 000 7 000 9 000 10 000 CERT

Geometric Series Which summation statement below correctly describes the partial sum shown below 4 20 100 500 2500 12500 4 5 n 1 x 1 4 n 1 5 1 4 5 x 1 5 4 x 1

Given the function f x 8x 6x 7 calculate the following values f 2 f 1 f 0 f 1 f 2

Geometric Sequence What is the common ratio of the sequence 2 6 18 54 162 3 3 6 72 0 12 12

quence Consider the first six terms of this sequence 2 5 8 11 14 17 What would be the 41st term of this sequence 43 122 125

The first term in this sequence is 1 3 3 1 2 1 1 11 an Which function represents a recursive definition of the sequence 4 5 5 7 a a 1 1 a a 1 2 a 2a 1 1 a 2a 1 3

Graph y 4x 2 5 4 3 2 1 Clear All Draw 5 4 3 2 1 1 2 3 4 5 2 3 4

Graph y 4 5 4 3 2 1 Clear All Draw 5 4 3 2 1 1 2 3 4 5 7 a 2 34

Which equation represents exponential growth Oy 1 6 0 5 y 0 75 Oy 0 5

Calculate the average rate of change of f x x 5 on the interval 4 3 a 1 0 b 1 1 1 c 09 1 1 0 d 7

Solve the equation 2cos x 1 0 on the interval 0 2 O O O a 4 5 3 3 b 2 4 3 3 c 5T 6 6 d 5 7 6 6

Which of the following is a function O a x y 49 b x y 7 c y x2 5x 3 d y 7 9x

Evaluate the difference quotient for f x 3 X 5 O a 6x 3h 30 x h 5 x 5 b d 3 x h 5 x 5 1 x h 5 x 5 1 x h 5

Let A Microsoft Tesla Cinemex B Tesla Microsoft Cinemex Toyota Then AUB Microsoft Tesla Cinemex Toyota Enter the elements separated by commas If the set is empty enter empty set Explain it Practice KAC UBISOS Let A pp is an even integer B 1 1 3 3 5 5 Then mark all that are correct AUB A C E pp is an even integer nn is a positive integer the set of all integers 1 1 3 3 5 5 D nn is an even integer F None of the above B

3 5 points Solve the following equation x 4x 8 0

Let f x f 0 f 4 f 4 f a Check f a 32 3 Check f a Check Clear Check Clear Check Clear Check Clear Help Clear Help Clear Help Do it Do it Do it Help Help Help Practic

3x 5 with domain 0 o Then 2x 3 Enter exact answers not decimal approximations If a value does not exist enter dne f 0 Free hint f 4 6 et f x Check Check Check Clear Clear Clear Free hint Free hint Do it Do it Do it

Convert the quantity to the indic 64 mi to km

For triangle ABC we are given that mZC 28 6 AC 28 3 in and BC 12 4 in We can use the Law of Cosines Law of Sines and other properties of triangles to determine all of the missing information Note that the diagram may not be drawn to scale a AB Determine all of the missing information about this triangle 28 3 in c m A d m B inches B degrees b Draw the triangle and add the length of AB to your diagram degrees Preview Preview 12 4 in Preview 28 6 Note that this question allows you to use trig functions that evaluate for angle measures in degrees To remind yourself how to evaluate trig functions for angle measures in degrees in this program click here

Find a degree 3 polynomial having zeros 4 3 and 7 and the coefficient of x 3 equal 1

Given that f x b 1 34 1 x BW nverge 20 for x in the interval 1 1 find the power series representation of Be sure to include the interval of convergence for both You do not need to use the Ratio Test to find the interval for that

real zeros for the function 2x 3 8x 2 6x 5 0

270 0 Quadrants determinevalue of 6 CSCX 1 with XX ar a 3 canale determine COSEX HETTY

The following equation involves more than one exponential expression Solve the equation 6 x 3 x 2

Fin the greastest common factor of 10 2 and 6x

2 Graph the following functions clearly label the axes the asymptote and two points Only use points whose coordinates are integer values State the domain in interval notation a f x 3 2 1 b g x 2logs x 3 1

Question 8 of 13 Step 1 of 1 Answer How to enter your answer opens in new window 9 17 Correct A train leaves Boston at 2 00 PM A second train leaves the same city in the same direction at 6 00 PM The second train travels 48 mph faster than the first If the second train overtakes the first at 11 00 PM what is the speed of each of the two trains First train Inc mph Key Keyboard Shor

Answer Enter the coordinates to plot points on the graph h x Step 2 of 2 Find two points on the graph of this function other than the origin that fit within the given 10 10 by 10 10 grid Express each coordinate as integer or simplified fraction or round to four decimal places as necessary A B 10 7x3 Enable Zoom Pan Keyboard St

ork 7 2 K Toward the middle of the harvesting season peaches for canning come in three types early late and extra late depending on the expected date of ripening During a certain week the data to the right were recorded at a fruit delivery station Complete parts a through d below a How many trucks carried only late variety pea 16 trucks Type a whole number b How many carried only extra late trucks Type a whole number

Untitled presentation Google Slides 2023 Qu se the given information to fill in the number of elements iagram A 18 n B 19 n A U B 27 n B 34

Use the union rule to answer the question If n A 7 n B 11 and n ANB 6 what is n AUB n AUB Type a whole number

12 968 is invested part at 7 and the rest at 6 If the interest earned from the amount invested at 7 exceeds the interest earned from the amount invested at 6 by 607 07 how much is invested at each rate Round to two decimal places if necessary

D 8 Evaluate negative and zero exponents 5MA Evaluate Write your answer as a fraction or whole number without exponents 3 3

Identify the function for the given graph Je

Seed costs for a farmer are 40 per acre for corn and 70 per acre for soybeans How many acres of each crop should the farmer plant if she wants to spend no more than 2800 on seed Express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph Let x be the number of acres planted with corn and let y be the number of acres planted with soybeans Choose the correct inequality below OA 40x 70y 2800 x 0 y 0 40x 70y 2800 x 0 y 0 C 40x 70y 2800 x 0 y 20 D 40x 70y 2800 x 0 y 0 B Use the graphing tool to graph the inequality and the boundary lines representing the nonnegative constraints Click to enlarge C 100 10 90 80 Ay 70 60 50 40 30 20 10 10 10 20 X 30 40 50 60 70 80 90 100

Find the quadratic function y ax bx c whose graph passes through the given points 1 3 1 7 2 11

A triangular prism and its dimensions are shown in the diagram POSSI What is the lateral surface area of this triangular prism in square centimeters 91 375cm 2 131 75cm 2 139 19cm 2 119 13cm 2

A 160 day promissory note dated 8 June 2016 had a face value of RM 2 000 The simple interest rate harged was 6 6 per annum Determine a

5 Fill in the blanks this exercise has three parts The polar equations r ed 1 ecos 0 and represent conics Accordin ed r 1 esin 0 to the textbook the conic is a parabola if the conic is an ellipse if the conic is a hyperbola if

quoted pr 10 Barry Severes purchased a 25 000 Baltic Ridge School District bond at a quoted price of 105 7 The bond pays annual interest at a rate of 3 7 I loud Zion purchased an ITT 80 000 corporate bond at a quoted price

Select one 19 a How does the graph of y 41 x differ from the graph of y x Dg O The graph of y 41 x is wider by a factor of 4 The graph of y 4 x is shifted up 4 units O The graph of y 4 x is narrower by a factor of 4 O The graph of y 4 x is shifted right 4 units

Select one De Which answer describes the transformation of f x to g x f x 4 De 3 I g x is a vertical translation 4 units upward from f x Og x is a vertical translation 4 units downward from f x g x is a horizontal translation 4 units to the left of f x Og x is a horizontal translation 4 units to the right of f x HE

Which answer describes the transformation of the solid parabol to the dashed parabola Select one 0 O 6 5 4 3 2 1 2 3 4 6 5 4 3 2 110 1 2 3 4 5 6 1 A 56 6 V S 1 1 1 1 AY 1 1 X reflection over the y axis and a horizontal translation 4 units to the right a horizontal translation 4 units to the right and a reflection over the x axis a vertical translation 1 unit down and a reflection over the y axis a reflection over the y axis and a reflection over the x axis

A vertical pole is 10 meters from the building when the angle of elevation of the sun is 45 degrees the pole cast a shadow on the building 1m high find the height of the pole

Which of the following sequences is arithmetic O 3 5 7 9 11 O 5 3 1 2 4 O 21 35 39 42 54 O 4 6 7 10 13

Find the next two terms 15 20 25 30 The next term in the sequence as is 3 35 The next term in the sequence a6 is 40

Write the terms and find the sum of the series 5 6n 3 n 2 terms sum Select Select 9 15 21 27 18 20 22 24 6 12 18 24 V

Listed below are the top 10 annual salaries in millions of dollars of TV personalities Find the mean median and mode for the given sample data in millions of dollars Given that these are the top 10 salaries do we know anything about the salaries of TV personalities in general 37 1 35 6 35 2 26 14 3 12 3 12 2 10 1 9 9 7 8 a The mean is Select b The median is Select c The mode is Select d Given that these are the top 10 salaries do we know anything about the salaries of TV personalities in general Select

Question 11 of 11 Step 1 of 1 7 15 Correct Answer How to enter your answer opens in new window Incorrec Jose hopes to earn 600 in interest in 4 3 years time from 6 000 that he has available to invest To decide if it s feasible to do this by investing in an account that compounds quarterly he needs to determine the annual interest rate such an account would have to offer for him to meet his goal What would the annual rate of interest have to be Round to two decimal places Keypad Keyboard Shortcut 4