Algebra question and answers for December 19, 2023
- Q Consider the functions f(x) = -7x-5 and g(x) = -1/7(x+5).(a) Find f(g(x)).(b) Find g(f(x)).(c) Determine whether the functions f and g are inverses of each other.
- Q Factor the polynomial 7ab(a ? b ) - 5a(a ? b ).Select one:a. a(a + b) (7b-5)b. a(a - b)(7b-5)c. (a-b) (7b-5)d. a(a-b) (7b+5)
- Q Identify the period of g(x) = cos 8?. Then graph the function and describe the graph of g as a transformation of the graph of f(x) = cos ?.
- Q Find the slant asymptote, if any, of the graph of the rational function.f(x) =(x + 6x-4)/(x-4)O y= xO y=x+10O y=x+6O no slant asymptote
- Q Here is a box and whisker plot for the exam scores students received on their Biology midterm. How many people scored above a 54 if there are 60 students in...
- Q Calculate the amount of interest earned on a $12,500 deposit into an account for 3.5 years with a 2% interest rate.
- Q Graph y = sin(x). Then give thedomain in the interval form:range in the interval form:What do you think the function value at:
- Q A pack of pepperoni weighs 16 ounces. 15% of the pepperoni was used on a pizza. What is the weight of the remaining pepperoni in the pack?
- Q High-Tech Products received an invoice dated May 28, 2018, from a manufacturer that sells office equipment. The list price was $21,636. This manufacturer offers its customers a trade discount of...
- Q Alexis works at a health care facility. She has measuredthe hemoglobin levels of 400 people. The data follows anormal distribution with a mean of 16 g/dL and a standarddeviation of...
- Q In this problem, let us try to maximize the function J = |3x+2y-7z| under the constraint of 2x+y+3z = 5, by applying the Cauchy-Schwarz inequality. The trick is to view...
- Q The following table gives the number of drinks and the resulting blood alcohol percent for a man of a certain weight legally considered driving under the influence (DUI).a. The average...
- Q If you are given two even functions, then the resulting function through addition will also be even.a) Always Trueb) Sometimes Truec) Never True
- Q Given the functions f(x) = 10x and g(x) = 3x +10 and h(x) = x ?1 what composition of functions would result in the following:
- Q Monique only has $36 to buy pens and notebooks. Each pen costs $2. Each notebook costs $3. Which of the following graphs represents the possible combinations of pens and notebooks...
- Q A research study asked 1712 homeowners how many bedrooms were in their homes. The results are shown in the table below. What is the probability that a homeowner chosen at...
- Q Hawks do not like the noise that humans make, so they tend to move out of an area as more and more people move into the area. If p represents...
- Q Given g(x) = x/4 +4_and_(x) = 4x + 1/4 , find g'(z), (z), (g)(z) and (- og ) (I). What can you conclude?
- Q Suppose you need to choose between two car rental companies. You plan on driving for 8 hours at a constant speed of 60km/h. Company 1 charges $0.20/km and a daily...
- Q Between any two points, the graph goes up 3 (y) and right 2 (x) slope = Ax
- Q The slope of the tangent line to ?(x + y) + ?(x y) = 2y at the point (2,2) is:A) 3/5B) 3C) -3D) -(3/5)
- Q A student believes that subtractionproblems can be solved by highlighting thedistance between two numbers, as shownbelow: Why will this method not alwayswork?Problem: Evaluate 3 - -4.There are 7 units, so...
- Q A bowl contains 10 red balls and 10 blue balls. A woman selects balls at random without looking at them. How many balls must she select to be sure of...
- Q The height of a radio tower is 700 feet, and the ground on one side of the towerslopes upward at an angle of 10.(a) How long should a guy wire...
- Q Revenues of software publishers in a country for the years 2009-2016 can be modeled by the function S(x)=92.482 e 005205x where x-9 represents 2009, x= 10 represents 2010, and so...
- Q Solve triangle ABC, (If an answer does not exist, enter DNE. Round your answers to one decimal place.)a=67, c=51, C=53"
- Q (a) The following statement is either True or False. If the statement is true, provide a proof. If false, construct a specific counterexample to show that the statement is not...
- Q If f(n)= -3n+2, what is the value of f(12)?f(n) = -3n+2f(12) = -3(12) + 2f(12) = ? + 2f(12) = ?A. 38B. -38C. -34
- Q Solve. If there is more than one solution, separate them with a comma. If there are no solutions, enter DNE.-3-4|6x + 9| = - 35
- Q The graph showing the total number of prisoners in state and federal prisons for the years 1960 through 2009 is shown in the figure. There were 212,458 prisoners in 1960...
- Q Someone measured two sides of the rectangle shown below, and they used a strange unit of measurement: We want to know the total area of this rectangle in units of...
- Q graph the solution set of the system of inequalitiesGraph the solution set of the system of inequalitiesx ?0y ? 03x + 4y > 12
- Q Describe the long run behavior of f(t) = -4(1/4)? +4As t??, f(t) ? ? As t??, f(t) ? ?
- Q Consider the points (1, 4), (3, 6), (5, 4).(A) Write down an inconsistent system for finding a and b such that y = ax + b passes through all 3...
- Q The table displays the scores of students on arecent exam. Find the mean of the scores to thenearest 10th.Score Number of Students70 175 ...
- Q Determine the geometric mean of the following five terms 2.5, 4 1/4, 7.15, 11 3/5, 15.
- Q A person places $7420 in an investment account earning an annual rate of 5.9%, compounded continuously. Using the formula V = Pe?? where V is the value of the account...
- Q The physician orders 1000 ml of 5% dextrose in water to infuse at 40gmt/min. How many hours must the IV infuse? (20 g/ml ser)
- Q The Supreme Court ruling in Marbury v. Madison did which of thefollowing?(a) Recognized judicial review.(b) Increased the powers of Congress.(c) Increased the power of the president.(d) Caused conflicts between the...
- Q Compute the arc length of the parabola x = y and the line x = by from (0,0) to (b, b) for b > 0. What happens as b increases?
- Q Use a table to solve each equation. Round to the nearest hundredth.27. 2x+3 = 51228. 3x-1 = 7229. 62x = 1030.52x = 56
- Q A city's population is 12,800. It is predicted that the population will increase by 3% each year.Part a: Write a function that can be used to find the city's population...
- Q You are considering renting a car from two different rental companies. Proxy car rental company charges. $0.32 per mile plus an $18 surcharge. YourPal rental company charges $0.36 per mile...
- Q Solve and check the linear equation.28-x/2=x/5What is the solution?A. The solution set is B. The solution set is {x|x is a real number}.C. The solution set is .
- Q Solve and check the linear equation.(x + 7)/12 = 1/6 + (x -2)/7What is the solution? Select the correct choice below and, if necessary, fill in the answer box to...
- Q Someone measured the length of the line segment below, and they used a strange unit of measurement: retsHere are some facts about this unit (and some other strange units):8 teeps...
- Q 1. y varies directly with xa. If y = 6 when x = 2, find x when y = 12. Show your work.b. If y = 25 when x =...
- Q Find the constant of variation. Write in fraction form (a/b) when applicable.X y27 930 1060 20
- Q Suppose that your favorite restaurant delivery service is offering a deal when you order in bulk:Get 3 burritos from Burrito-Boss for $12.05. Each additional burrito costs $4.85.Let b represent the...
- Q 2.a. Determine the domain and range of the relation. Write answers as inequality statements.b. Is the relation a function? Give a reason for your answer.3. You are considering renting a...
- Q Identify the constant of variation. 6y - 7x = 0The constant of variation is k = ____. (Type an integer or a fraction.)
- Q Find the constant of variation. Leave in fraction form (a/b) when applicable.y = 6x
- Q Write the equation in slope-intercept form. Then find the slope and y-intercept of the line. y = -1Write the equation in slope-intercept form.____ (Type an equation. Type your answer in...
- Q Use your graphing utility to enter each side of the equation separately under y? and y?. Then use the utility's TABLE or GRAPH feature to solve the equation. 2x +...
- Q A person made a table for an equation on their calculator, and this is what it showed:X y2 55 38 911 -114 13If possible, find the...
- Q The equation d = 4-1/15 f represents your distance d from home for each minute t you walk.a. If you graphed this equation, what would the slope represent in context?...
- Q -3x + 2y = 6 Find the intercepts. Show your work.
- Q A bank loaned out $24,500, part of it at the rate of 14% annual interest, and the rest at 15% annual interest. The total interest earned for both loans was...
- Q Obtain the Taylor series solution of the initial value problemy' = 1-2ty, y(0) = 0with h=0.1 and p=2.
- Q Integrate the function f over the given region.f(x, y)=x/3+y/4 over the trapezoidal region bounded by the x-axis, y-axis, line x = 3, and line y=-4/3x+846183022
- Q The mean IQ score for 1500 students is 95, with a standard deviation of 10. Assuming the scores have a normal curve, answer the following.a. How many have an IQ...
- Q Write the expression as an algebraic expression in x for x > 0.5 tan(arccos x)
- Q Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions.a 5, d = 5, n = 20S20=___
- Q Let u and v be two vectors in an inner product space so that ||u|| = 2, ||v||| = 3 and the angle between the two vectors is 30. Find...
- Q Jerome wants to invest $20,000 as part of his retirement plan. He can invest the money at 5.1% simple interest for 32 yr, or he can invest at 3.7% interest...
- Q Use the equation of the polynomial function f(x)=-3x-x to complete the following.(a) State the degree and the leading coefficient.(b) Describe the end behavior of the graph of the function.(c) Support...
- Q Use the given graph of the polynomial function to complete the following(a) Estimate the x-intercept(s)(b) State whether the leading coefficient is positive or negative.(c) Determine whether the polynomial function is...
- Q Which of the following sequences is an arithmetic sequence? Select all correct answers.Select all that apply:-4, 1,6, 1.-4....2.7, 12, 17, 22,...-6.-11,-16, -21.-26,...1,-1,-5,-7.-11....-3, -6.-9, -6, -3....
- Q Solve for the missing sides and angles of ?ABC if A = 40, a = 22, and b = 25. Round the measures of the unknown angles and sides to...
- Q How many terms are there in the following finite arithmetic sequence?24, 28, 32,..., 80
- Q Find all x-values that satisfy the equation cos (2x) - 2 sin(2x)cos (2x) = 0,0?x? 2?. Give the exact answers (no approximation).
- Q Find the exact values of sin 2?, cos 2?, and tan 2? for the given value of ?.180 <? < 270cot ? = 4/3sin 2? =cos 2? =tan 2? =
- Q Continuous Compound Interest Formula Continue watching the intro video and complete the following: If P dollars are invested for t years at annual interest rate r, compounded _ _ then...
- Q Many beach regulators use the geometric mean of the bacteria concentrations at individual beaches to determine when the water is unsafe for swimmers. Suppose a sample of five beaches had...
- Q Question (3): Let g(x) = 3-*, x = [1/3,1].(a) Show that g(x) satisfies the Fixed Point Theorem.(b) Find n such that |P-P| < 10-3 where P is the fixed point...
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!