Quadratic equations Questions and Answers

Identify the volume of a sphere if it has a surface area of 465 square units O 745 58 cubic units O 1792 5 cubic units O 1670 3 cubic units

Points 3 Question 7 The Image of a cup and saucer is given Find the area of the given image in sq inches using decomposing technique 25 sq inches O 33 sq inches 20 50 inc

Question 3 Points 2 To find the area of the given figure we have to decompose the trapezoid below into triangles and form a O parallelogram rectangle square

Using the technique of composeldecompose a polygon find the area of the given polygon O 75 sq units O 72 sq units O 70 sq units

Step 1 of 4 Find the vertex of this function y x 4 3

Find the area of the given Irregular figure 5 cm 12 cm O88 sq cm 28 sq cm O 32 sq cm 7 cm 4 cm

A garden is in the shape of a hexagon Find the area of the garden in meters by decomposing into triangles YE 13 12 11 10 5 3 2 FN 46 m 42 m O 48 m 15 X 6 7 8 9 10 11 12 13

The domain of the function f x 3z 50 consists of one or more of the following intervals co and A 00 Find A For each interval answer YES or NO to whether the interval is included in the solution 0 A 4 00

y 2 4 4324 1 i Describe the Domain ii Describe the Range iii Describe Intervals of Increase iv Describe Intervals of Decrease v As x 00 determine f x vi As x 00 determine f x vii Determine the x intercept viii Determine the y intercept

Determine the area of the given figure 4 cm 7 cm O 52 sq cm O 62 sq cm O 28 sq cm 4 cm 6 cm

Find the formula for the area of a right triangle using composing O2 area of parallelogram O2 area of trapezoid 1 2 area of rectangle

Find the area of the given rectilinear shape 7 cm 9 cm O 122 sq cm O240 sq cm 118 50 cm 6 cm 7 cm 8 cm 5 cm

The radical expression can be rewritten in the 9 X rational exponent form where xi a

The graph of f x is shown in red Draw the graph of g x f x 3 g x f x 3 Make sure to start at one of the endpoints not the middle point After finishing the graph click outside the grid to stop drawing 8 7 6 5 4 3 1 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 2 3 4 5 6 7 8

The data in the table is either Linear or Exponential Write the equation of the function that fits the data Be sure to include y X 1 3 2 Y 2 3 8 0 1 6 2 24 96

2 Use the graph to write an equation for the parabola 4 3 2 1 Oy 22 4 0y 2 2 O 7 6 3 2 1 0 1 0 21 2 3 4 9

Question 4 Simplify x7y 4 3 x 3y 3 Entry Tip put the numerator and denominato in parenthesis Also put the exponents in a parenthesis To type type a 1 2 b 2 3 Be sure to use the preview button and be sure you b3 like the format before you hit submit Submit Question

Solve the triangle shown to the right Round the lengths of sides to the nearest tenth and angles to the nearest degree b 5 Round to the nearest degree as needed B Round to the nearest degree as needed A 95 a 7 B CH Do not round until the final answer Then round to the nearest tenth as needed A

12 103 The graph of f x x a f x 0 b f x 0 c f x 0 Hint a 3x4 is shown at right Use the graph to solve 10 15 10

write a function to model the data X 1 O y The function is y O 6 1 6 2 O 3 12

f x 1 sin x 2 Amplitude 2n Phase Shift Left Right Graph at least one cycle T RICH Y T te lee 3x Period Vertical Shift Up Do X 2T

Write the equation of a parabola whose directrix is x 2 5 and has a focus at 4 5 1

3 DESCRIBING DISTRIBUTIONS The frequency table shows the numbers of hours that students volunteer per month Display the data in a histogram Describe the shape of the distribution See Example 1 Number of volunteer 1 2 3 4 5 6 7 8 9 10 11 12 13 1 hours Frequency 1 5 12 20 15 7 2

Find the area of the shaded region 4 cm 7 cm O 12 56 cm O 6 28 cm 14 18 cm

Let a 3 0 1 6 2 1 and 0 2 0 a Normalize each of and to the unit vector b Find proj c Determine the area of the parallelogram generated by and 7

A laptop computer that costs 1125 new has a book value of 525 after 2 years a Find a linear model V mt b v t b Find an exponential model V aet Round your values to four decimal places v t c Use a graphing utility to graph the two models in the same viewing window Select the correct graph 1000 O 800 600 400 200 800 600 400 2 3 1000 800 V 600 400 200 200 1000 500 2 3

Question 7 Points 3 Find the area of the shaded region 5 cm O O 78 5 cm O 74 cm O 72 5 cm 3 cm

9 Complete the last column of the chart by recording C for Circle P for Parabola E for Ellipse or H for Hyperbola dependent on the values given for the general form of a conic Ax By Dx Fy G 0 Variable Exercise Conic 1 Conic 2 Conic 3 Conic 4 Conic 5 A 9 8 12 0 75 0 B 6 0 15 0 75 16 D 5 3 69 0 0 F 3 6 38 1 0 G 2 9 47 0 25 144 Type of Conic

Determine whether the following limit is equal to or some specific value lim 818 3 62 3 e

Solve the following system of equations using LU decomposition with partial pivotin 2x16x2x3 38 3x1 x2 7x3 8x1 x2 34 2x3 20

Francisco is planning to invest up to 32 000 in corporate and municipal bonds The least he is allowed to invest in corporate bonds is 7000 and he does not want to invest more than 25 000 in corporate bonds He also does not wan to invest more than 11 000 in municipal bonds The interest is 9 on corporate bonds and 2 on municipal bonds This is simple interest for one year How much should he invest in each type of bond in order to maximize his income What is the maximum income Francisco should invest in corporate bonds and in municipal bonds in order to maximize his income

A country s population and the growth rate in 2011 are given below Use this information and an exponential model to estimate the country s population in the specified year population 134 million growth rate 1 311 percent year 2019 The size of the population in the 2019 will be about Round to the nearest hundredth as needed million

Find the length of x Round to the nearest tenth 7 9 48

tan 3r 4 tan 3 4 tan 3 2 tan Choose Choose Choose Choose

Determine the number of cycles the sine function has in the interval from 0 to 2 y sin 50

Find the amplitude of the sine function MAA

Use the graph below to find the value of y sin 8 for each value of 0 y N 0 3 2 T 2 radians Choose 3 2 radians 4 radians 7m 4 radians Choose Choose Choose 0

Find all real solutions of equation 3x2 4x 4 0 Does the equation have real solutions V If your answer is Yes input the solutions x1 and 2 with 1 S

Find the measure of an angle between 0 and 360 coterminal with 405 degrees

5 x 6x 0 7 x 8x 16 6 x 3x 7 0 8 x 10x 24

1 1 5x2 14 3 7x 8x 6 2 3x 16 4 9 10x 12x

Solve the following problem by the diagonalization method dx y z dt dy dt x z dz d x y dt x 0 1 y 0 0 z 0 0

Find the probability You select a card from a standard shuffled deck of 52 cards You return the card shuffle and then select another card Both times the card is a diamond Note that 13 of the 52 cards are diamonds 04 0 0 25 01 0 45 0 022 0 063

The function ff is given by f x 0 1x4 0 5x3 3 3x2 7 7x 1 99f x 0 1x4 0 5x3 3 3x2 7 7x 1 99 For how many positive values of bb does limx bf x 2limx bf x 2 One A Two B Three C L

Identify the domain and range of each 1 y x 2 5 3 y x 1 4 2 y x 2 3 4 y x 1 1

Solve the equation 5n 34 2 1 7n

Solve the equation 1 7x 6 7 x 36

Solve the equation 5 4x 7 4x 2 x

Use a graphing calculator to approximate the partition numbers of f x Then solve the inequalities A f x 0 and B f x 0 f x x 6x 3x 7 What are the partition number s of f x Type an integer or decimal rounded to four decimal places as needed Use a comma to separate answers as needed

A department store wants to send codes for 15 off a 75 purchase to the subscribers of its e mail list The coupon code will have three letters followed by one digit followed by one letter The letters P Q and R will not be used So there are 23 letters and 10 digits that will be used Assume that the letters can be repeated How many such coupon codes can be generated