Quadratic equations Questions and Answers

Draw a graph of the line that contains the given point and has the given slope 0 5 m 3 Use the graphing tool to graph the line Use the given point to graph the line Click to enlarge graph C 10 8 6 2 10 8 Ay 6 4 2 2 4 6

a Plot the points 5 4 and 1 7 in a rectangular coordinate system b draw a line through the points and c find and interpret the slope of the line a b Use the graphing tool to graph the line Use the given points to graph the line Click to enlarge graph CINE 20 F16 512 16 541 12 18 k 8 124 16

Find and interpret the slope of the line containing the given points 9 4 and 2 18 Select the correct choice below and if necessary fill in the answer boxes to complete your choice unit s when x increases by OA The slope of the line is Type integers or simplified OB The slope of the line is Type integers or simplified OC The slope is undefined The value of y will increase by fractions The value of y will increase by fractions unit s when x decreases by unit s unit s

Find the exact value of cos 45 Question 5 2 1 57 cos 45 0 7071 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

Which expression represents x 8x 16 in factored form x 4 O O x 2 x 8 O x 4 x 4 0 x 4

Two sides of a triangle measure 36 m and 49 m One possible dimension of the third side is

What is the missing term in the factorization 100x 36 4 5x 5x 3 Enter your answer in the box

Factor 3x y 4 2 y 4 Enter your answer in the box

F x 4 is a point on the graph of 3x 2y 2 find x

If 1 y is a point on the graph of 2x 4y 22 find y y 0

Write the radical as a pure imaginary number 75 75 Simplify your answer Type an exact answer using radicals as needed Express

Ive the following quadratic equation using the Square Root Property q 6 20 4 e solution set is

5 Solve the formula P 21 2w for w O A w 2P 21 OB w 2P 21 P 21 2 OC W OD W P 21 2

1 The cost per book C in dollars when a school orders yearbooks is modelled by C n 0 000 05n 0 095n 66 125 where n is the number of books ordered How many yearbooks does a school have to order to have the least cost per book What is the least cost 950 yearbooks at 21 per book per book C n 0 00005 0 095 n 66 125 2

10 7 3x 9 7

Find the intercepts of the equation x 9y What are the intercepts Type an ordered pair Use a comma to separate answers as neede

TOTT Answer 0 10 Correct The lifting force F exerted on an airplane wing varies jointly as the area A of the wing s surface and the square of the plane s velocity v The lift of a wing with an area of 270 square feet is 3 600 pounds when the plane is going at 90 miles per hour Find the lifting force if the speed is 230 miles per hour Round your answer to the nearest integer if necessary Keypad Keyboard Shortcuts

Find the intercepts of the graph displayed at the right Find the intercept s Select the correct choice below and if necessary fill in the answer box to complete your choice OA The intercept s is are Type an ordered pair Use a comma to separate answers as needed OB There are no intercepts 4 2 4 2 2

Suppose that y varies directly as the 4th power of x and that y 4 when t 7 What is y when x 5 Round your answer to two decimal places if necessary Answer BER Keyboard

Use graphing technology to approximate the solutions of the equation Round your answers to the nearest tenth x 4x 3 x 3 1 X X

A function f x 3 is transformed into the function g x 5 32 2 6 Choose the transformations that occurred Choose all that apply Vertical Stretch Vertical Shift Up X axis Reflection Horizontal Shift Left Vertical Shift Down Vertical Compression Horizontal Shift Right

Suppose that y is inversely proportional to the cube of x and that y 18 whenx 20 What is y when x 5 Round your answer to two decimal places if necessary nswer y Keypa Keyboard Short

What is the range of the function f x 2 1 The set of real numbers greater than 0 The set of real numbers greater than 1 The set of real numbers less than 1 The set of real numbers less than 0

10 110 Step 1 of 3 Identify the general shape and direction of the graph of this function on the interval 2 nswer p x Ay x if x 2 y x

Name the y intercept of f x 2 3 4 O 0 6 O O 0 10 No y intercept 0 4

Which of the following represent Exponential Growth Choose all that apply y 4 2 y 5 y 52 y

Use the equation to complete the table Use the table to list some of the ordered pairs that satisfy the equation x 5y 8 0 1 y 2 x y X 1 2 y 2 x y

Use Vertices to describe a path from vertex A to vertex I passing through vertices B and H as well as through the loop Choose the correct answer below OA A B D F F G I OB A B C D E F F G H I OC A B D F F G H I OD A B D F G H I OE A B D F G I OF A B C D E G H I B D H

Use the graph on the right to find a Hamilton path that begins at A and ends at B G

A connected graph has 22 even vertices and two odd vertices Determine whether the graph has an Euler path but not an Euler circuit an Euler circuit or neither an Euler path nor an Euler circuit and explai why The described graph has O an Euler path but not an Euler circuit Oan Euler circuit neither an Euler path nor an Euler circuit

Find the equation of the line containing the point 9 1 1 and having a slope of Write the equation in slope intercept form if possible Graph the line Select the correct choice below and fill in the answer box to complete your choice Simplify your answer Use integers or fractions for any numbers in the equation OA The equation of the line cannot be written in slope intercept form The equation of the line is OB The equation of the line in slope intercept form is

Fill in the blank so that the resulting statement is true A circuit that travels through every edge of a graph exactly once is called a an A circuit that travels through every edge of a graph exactly once is called a an circuit circuit even Fleury Euler vertex

While edge DF is included in the graph the graph is If edge DF were removed the graph would be C

Which edges shown on the graph to the right are not included in the following path F D C B A C Select all that apply A BC B EE C AB D CD E DE F AC G DF C B 0

Use vertices to describe two paths that start at vertex F and end at vertex B Select the two sequences of vertices below that describe paths starting at vertex F and ending at vertex B A F D B B F E D B C F E C B D F D E B E F E B F F D B C B B D E

Which vertices are adjacent to vertex A in the graph Which vertices are adjacent to vertex A in the graph Use a comma to separate answers as needed A A 10

10 feet Kitchen DOK 1 Fager Pink Lovedry Room loon Bathroo width Bedrcom 10 4 The perimeter of the foyer is 24 feet The area is 36 feet What is the length and width the foyer 5 The bathroom perimeter is 16 feet What is the area Cound be than 0 til 6 The width of the dining room is 3 less than the width of the kitchen The length of th dining room is double the width What is the perimeter of the dining room

4 dw ax x dw t x w x 0 1 w 0 1 1

To plan for retirement Abdul deposits 1357 each year in an annuity that pays 7 9 interest compounded annually Payments will be made at the end of each year Find the total value of the annuity in 25 years Do not round any intermediate computations and round your final answer to the nearest cent If necessary refer to the list of financial formulas X 15 Char

Mid Unit Assessm 1 Which of these sequences of transformations would not return a figure position A Reflect a figure across line y and then reflect the image across line y again B Rotate a figure 180 counterclockwise about point A and then rotate the image 180 clockwise about the same point C Translate a figure 3 units down and then translate the image 3 units up D Translate a figure 5 units to the left then 7 units to the right and then 2 units to the left uld map Figure X onto Figure Y

1 Determine an ordered pair that satisfies the equation 4x 7y 0 by substituting x into the equation 2 The ordered pair is Simplify your answer Type an ordered pair Use integers or fractions for any numbers in the expression

Use the given equation to complete the table Use the table to list some of the ordered pairs that satisfy the equation y 4x 3 X 2 0 1 y x y X 2 0 1 y x

Score 3 10 4 10 answered Question 2 If f is one to one and f 2 14 then f 14 and f 2 Question Help Video Message instructor Submit Question

Usehe distance formula to show that the points 1 5 0 3 and 2 1 are collinear on a line

Bonus 1 The sum of the distances from x y to 1 0 and from x y to 1 0 is 4 Show x and y is related by the 3x 4y 12

The Perez family wants to save money to travel the world They purchase an annuity with a yearly payment of 580 that earns 4 interest compounded annually Payments will be made at the end of each year Find the total value of the annuity in 11 years Do not round any intermediate computations and round your final answer to the nearest cent If necessary refer to the list of financial formulas

UIS sm Use the equation below to answer the question y 3x 6 Which equivalent equation is correctly matched with a key feature of the graph of the function it represen y 3 x 2 highlights that the y intercept is at 2 y 3 x 2 highlights that the y intercept is at 2 y 3 x 2 highlights that the x intercept is at 2

Determine an ordered pair that satisfies the given equation by substituting the given value of the variable into the equation 2x y 7 x 3 The ordered pair is Type an ordered pair

Determine whether or not the ordered pair is a solution to the equation y 3x 7 a 5 8 c Is a Is 5 8 a solution to the given equation O No O Yes b Is 2 1 a solution to the given equation O No OYes 13 2 b 2 1 O No OYes c a solution to the given equation

t the ordered pair 0 7 in the rectangular coordinate tem Tell in which quadrant the point lies or state that point lies on the x axis or y axis t the point 0 7 on the graph point lies A in quadrant I in quadrant IV on the x axis on both coordinate axes in quadrant III in quadrant II on the v axis 2016 12 B