Algebra question and answers for October 07, 2023
- Q 8 pts Solve the system of equations You may use any method of your choice but your method must be algebraic not graphical If the system is inconsistent state there...
- Q Use the vertex h k and a point on the graph x y to find the general form of the equation of the quadratic function
- Q Suppose the tangent line to the curve y f x at the point 2 1 has the equation y 5 2x If Newton s method is used to locate a...
- Q Consider two functions y1 f x y 1 f x and y2 g x y 2 g x and that y1 y2 y 1 y 2 except where they intersect...
- Q 2 Solve the logarithmic equation log5 x 2 log 5 x 2 log1 5 x 2 4 6 Marks Hint Use the change of base formula to break down every...
- Q g w w 4 2w w 2x 7x 6 X 2 y 5x 2 4 f x 4 ln 2x 3x r2 2r3
- Q points 1 0 hoose 3 inequalities that form a system whose graph is the shaded region shown above Click on the graph to enla A 8x 5y2 17 B y...
- Q An installment contract for the purchase of a car requires payments of 200 87 at the end of each month for 4 25 years Interest is 4 per annum compounded...
- Q Find the required annual interest rate to the nearest tenth of a percent for 1100 to grow to 1700 if interest is compounded quarterly for 10 yr The required annual...
- Q Solve 92 5 6 Enter an exact answer or round your answer to the nearest tenth Do not include in your answer Provide your answer below
- Q How long to the nearest day will it take any quantity of a radioactive element to decay to 25 of its initial amount knowing that it decays according to the...
- Q Find the coordinates of the point on the parametric curve described below for whent 3 3t 14 y 7 15t 38 13 41 13 13 38
- Q Tabitha has a 25 000 student loan at an interest rate of 4 35 that is compounded monthly for 12 years Calculate Tabitha s monthly payment rounding to the nearest...
- Q Jona is saving up money for a down payment on a townhouse He currently has 5959 but knows he can get a loan at a lower interest rate if he...
- Q A senior executive decides running is a good way to manage stress Initially only 0 4 miles could be run at a time Each 0 3w 0 4 where mis...
- Q A college student has an account with 3200 in it Each month 70 is withdrawn from that account to pay the cell phone bill That is the only activity on...
- Q The temperature at 4 00 AM was 6 degrees Fahrenheit Each hour the temperature increased 7 degrees What is the slope in this situation Do not include units in your...
- Q QUESTION 1 1 POINT Carl placed 3 700 in a savings account that compounds interest annually at a rate of 2 0 How much will he have in the account...
- Q Reduce each fraction to lowest terms if possible If it is already reduced to lowest terms choose already reduced to lowest terms x x 6 x 3 3x 5 3x...
- Q 2x 4x48 0 Select all of the correct solutions You may choose more than one answer 0x 4 x 4 0x 2 x 2 0x 8 O x 8 x...
- Q Multiply Simplify the following x 6 x 36 x O 6x 36 Ox 12x 36 2 X Ox 12x 12 2
- Q Solve the following equation using the quadratic formula x 10x 22 0 Choose the best answer from below The answers have been slightly simplified after using the quadratic formula O...
- Q Solve the following equation using the square root method 4x 1 0 2 Give your answer in simplified rationalized form Ox 1 Or 1 2 4 0x 1 1 201...
- Q Solve the following equation using the square root method x 4 0 Give your answer in simplified rationalized form 0x 2 0x 2i x 4 None of these
- Q If a sample of a certain solution is determined to have a a H3O concentration of 9 72 x 10 moles liter what is its pH Round off your answer...
- Q y 2 tan x n 3 Period Phase shift Asymptote 1 x Asymptote 2 x values and then click on at the basic graph POUR Enter Use 2 6
- Q Use the change of base theorem to find the logarithm log 1 5 9 Use the change of base theorem to rewrite the given expression in terms of natura logarithms...
- Q e2x 16ex 63 0 What is the solution in terms of natural logarithms Select the correct choice below a if necessary fill in the answer box to complete your choice...
- Q The height H x in meters of an object after x seconds is approximated by the following equation A negative height means the object is below sea lev H x...
- Q Given g x ex evaluate each of the following a g In 5 b g In 4 c a in 27 g In a g ln 5 Simplify your answer
- Q The concentration of a drug in a patient s bloodstream after t hours is modeled by the formula C t 11 0 74 where C is measured in milligram per...
- Q Write an equation for the inverse function of the one to one function given f x log 21x Simplify your answer
- Q Vrite an equation for the inverse function of the one to one function given f x gx f1 x
- Q The exponential growth of the deer population in the country can be calculated using the model T 40 000 1 06 where 40 000 is the initial deer population and...
- Q Consider the following Quadratic Function f x 6x 8x 9 State the coefficients of the quadratic in general form a Number b Number C Number
- Q Solve the given logarithmic equation 1 log x 25 2 The solution set is
- Q Assume that the radius r of a sphere is expanding at a rate of 11in min The volume of a sphere is V f Determine the rate at which the...
- Q Find the future value and interest earned if 8706 54 is invested for 8 years at 6 compounded a semiannually and b continuously a The future value when interest is...
- Q Check all that apply 11 Describe the transformations on y f x that have taken place to produce y 3f x 2 5 Flipped upside down Moved 2 units to...
- Q Write the equation for the graph shown below The parent function is f x x shown as a dotted graph Equation a f x x 6 O A OD b...
- Q the sum of a number q and sixty four divided by eighty three
- Q Which of the following is true for the parent function of square root functions CHOOSE ALL THAT APPLY A Domain of All Real Numbers Domain of x 0 C Range...
- Q In problems 6 and 7 determine which parent function best describes the situation 6 You have a lemonade stand on the side of the road A car drives at a...
- Q Use a graphing utility and the change of base property to graph the function y log 11x SLIKA Use the change of base property to rewrite the given expression in...
- Q 1 point Find all solutions of the equation 2 cos x 1 0 The answer is A Bk and C Dk where k is any integer 0 A 2 B...
- Q Each letter of the alphabet is assigned a numerical value according to its position in the alphabet The function defined by f x 2x 3 was used to encode the...
- Q The graph of a function f is given Use the horizontal line test to determine whether f is one to one B
- Q Solve the equation 3 7 9x got is
- Q Solve the equation x5 3 32 The solution set is Use a comma to separate answers as nee
- Q Determine if the function f x x 3 x 2 is one to one If so find the inverse Graph f X 2 and f on the same axes Give...
- Q Determine whether the function is one to one If so a write an equation for the inverse function in the form y f x b graph f and f1 on...
- Q For the function on the right determine whether the function is one to one Domain 20 Hours 30 Hours 45 Hours 75 Hours Range 100 200 250 275
- Q Drag the movable red point to shift the function the black point to set the vertical asymptotes and the blue point at the correct set of coordinates You may click...
- Q 1 For f x 5x 8 and g x x 8 find fog x and gof x Then determine whether fog x gof x What is fog x fog x...
- Q Give the equation of the function graph below 4 3 2 18 9 8 7 6 5 4 3 1 2 4
- Q 12 Let A represent f x If B is a transformation of A identify the equation of B 10 5 0 5 10 10 5 A y 0 B 5...
- Q ting Given the graph of the function f x below sketch the graph of f x 2 4 7 3 1 5 X 6 6 3 4 y
- Q For 1 sketch each of the indicated parent functions a Quadratic H d Square Root mok b Absolute Value 1 what e Exponential Growth c Cubic H f Linear V...
- Q 7 The following graphs have been transformed from their parent functions Write the equations of the new graphs a Parent Function f x x Equation b Parent Function f x...
- Q ne 5 The function f x has a domain of x 3 and a range of y 2 Determine the domain and range it function is transformed to the function...
- Q 2 What is the domain and range for the function graphed below 5 2 1 3 2 1 0 1 2 1 2 3 4 5 Domain Range S
- Q The polynomial of degree 5 P x has leading coefficient 1 has roots of multiplicity 2 at x 2 and X 0 and a root of multiplicity 1 at x...
- Q Determine the possible number of pos f x 2x 4 18x 2 7x 12
- Q Solve the equation r 2 r 11 0 Fully simplify all answers including non real solutions
- Q Write an equation for each circle Each interval represents one unit
- Q 16 Jeffrey s company has been operating for 45 months In the beginning Jeffrey was seeing incredible profit growth every month As more companies started to adjust their services to...
- Q When is cluster sampling appropriate Select the correct answer below Cluster sampling is a good choice when the population has multiple distinct groups that are each likely to be representative...
- Q 1 High salt intake is a leading cause of high blood pressure Canadians consume an average of 8750 mg of salt about 6 tsp per day the recommended maximum is...
- Q sample appropriate Select the correct answer below A simple random sample should always be used if possible A simple random sample should be used if the population is not well...
- Q The average emergency room cares for 300 patients each day There are 20 nurses on duty in the emergency room each day and they share the patient load equally Suppose...
- Q A town planner is interested in getting some demographic data about the households in the city The city has four wards with the following numbers of households ward A has...
- Q The pH of a chemical solution is given by the formula pH log 0 H where H is the concentration hydrogen ions in moles per liter Values of pH range...
- Q Solve and check the equation Points 5 10 2x7 2 4 0
- Q If a single pane of glass obliterates 4 of the light passing through it the percent p of light that passes through n successive panes is given approximately by the...
- Q Find the hydrogen ion concentration for Lemon Juice with a pH of 2 0 Hint pH moles per liter help numbers log H
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