Algebra question and answers for January 03, 2024
- Q Which function of the form f(x) = 3 sin(x) + c passes through the point: A(2,5)a) f(x) = 3 sin(x) +2b) J(x) = sin(x) - Zc) f(x) = 3 sin(x)...
- Q Find the equation of the line that has y-intercept (0,-7) and slope-4. Write the equation in the form y = mx + b.y=-7x-4y = -4x+7y=-4x-7y = 4x + 7Oy=7x-4
- Q The domain of the three basic trigonometric functions is Domain = {x|x R}. This statement is:a) true only for the cosine functionb) true for both the sine and cosine functionsc)...
- Q Draw the given rotational angle on the x- y coordinate axis beginning at the positive x-axis. Show all rotation. Then find the EXACT SPECIAL ANGLE VALUE of eachtrigonometric function given...
- Q The trigonometric functions have a period of 27 radians. This statement is:a) true for all three basic trigonometric functionsb) true only for the cosine functionc) true for both the sine...
- Q Use the alternative form of the dot product to find u. v.||u|| = 50, ||v|| = 50, and the angle between u and v is 5?/6.
- Q The doubling period of a bacterial population is 10 minutes. At time 110 minutes, the bacterialpopulation was 60000.What was the initial population at time t=0?Find the size of the bacterial...
- Q A 60-foot piece of siding is cut into three pieces so that the second piece is four times as long as the first piece and the third piece is five...
- Q A ferris wheel at an amusement park completes one revolution every 40 seconds.The cars can reach the maximum of 5 metres above the ground and a minimum of 1metre above...
- Q All asymptotes to the tangent function occur when:a) cos x = 1b) sin x = 1c) sin x = 0d)
- Q Find A in degrees.C = 110a = 11b=7A = [?] degrees
- Q Solve the absolute value inequality.|4x-2|<14
- Q Find C in degrees.A = 29b= 4C = 10C = [?] degrees
- Q Find x if the mean of the given data is 7.x 12 3 4 3 85 11X= = [?]
- Q Use the Laplace Transformation to solve the IVP.dx/dt - x = et x(0) = 0
- Q Question 6. Continuous functionsConsider the functionf(x) = -2x, x < 0 0 < x < 1 x-1, x ? 1(a)...
- Q Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine, as in Example 4. sin(x)
- Q Make a list of all possible rational zeros of f(x) = x52x + 4x + 5.If the answer is not an integer, enter it as a fraction. If there are...
- Q Compute the value of the discriminant and give the number of real solutions of the quadratic equation.-4x+7x-1=0
- Q Other than a no solution set, use interval notation to express the solution set and then graph the solution set on a number line.2x+4> 10Select the correct choice below and,...
- Q Solve the absolute value inequality.|x|<3Rewrite the inequality without absolute value bars. Select the correct choice below and fill in the answer box(es) to complete your choice.(Simplify your answers.)A. X<B. X<...
- Q Solve the absolute value inequality.|3x-9| > 15Rewrite the inequality without absolute value bars. Select the correct choice below and fill in the answer box(es) to complete your choice.(Simplify your answers.)A....
- Q If nominal rate of interest is 4% per annum and interest is compounded quarterly, then find the effective rate of interest.
- Q Use the given conditions to find the exact values of sin 2u, cos 2u, and tan 2u using thedouble-angle formulas.cos u = -4/5, ?/2<u<?sin 2u = ________cos 2u =________
- Q Use a calculator to solve the equation on the interval 0?x< 27. Round the answer to one decimal place if necessary.x-3 sin(2x) = 2x______________ 1.
- Q Prove that f(x)=|x|?|x + 1| is acontinuous function.
- Q Evaluate 2x -y for the given replacement values.x = 2 and y = - 192x - y =
- Q Shanika has invested in three differentstocks. Stock A is currently worth $4.50 pershare. Stock B is worth $6.00 per share,while stock C is worth $10.00 per share.Shanika purchased half as...
- Q Four times a number, subtracted from nine, is twice the number. Find the number.The number is __ (Simplify your answer.)
- Q Which of the following statements is true?A. Every term of a sequence must be nonzero.B. The terms of a sequence can never be fractions.C. It is possible for the terms...
- Q The ScenarioThe Tortoise and the Hare finally have their longawaited rematch. The Tortoise gets a 1,000 footlead and runs 9 inches per second. The Hare beginsat the starting line and...
- Q If the accumulated value of an investmentthat is growing at 3.11% compoundedmonthly is $70,912.40, and the interestearned on this investment is $20,912.40,calculate the time period of this investment.years months
- Q 3^2x-1 = 6^1-xsolve and explain the process
- Q Find the solutions by factoring. Choose all that apply.x + 4x = 12Select one or more:a. +?6b. ti?6C. +?2d. ti?2e. +2f. +6
- Q Consider the quadratic function below and (a) find the vertex; (b) find the axis ofsymmetry; (c) determine whether there is a maximum or a minimum value, andfind that value; and...
- Q Explain why synthetic division cannot be used to simplify:x -3x+1/x + 1
- Q State the number of complex roots and the number of real roots. Choose all that apply.-12 + x + 10x + 3x = 0Select one or more:a. 3 complex rootsb....
- Q On the axis below, plot the points C= (2, 9) andD= (8,1) and connect them. Find the length ofthis segment.
- Q Find the approximate area of a sector whose central angle measures 19?/12 in a circleof radius 8 ft to the nearest hundredth.
- Q Given f(x) = 4 ln(x), find the average rate of change of f(x) on the interval (5, 5+ h]. Your answerwill be an expression involving h. Don't try to simplify.
- Q katie has a job offer to be a jewelry salesperson that pays $3,100 per plus1.5% of all sales. What total sales are required to earn between $4,900and $6,150 per month?Between...
- Q The function f is defined as follows.f(x) = -x+4 if x<1 4x-1 if x ? 1(a) Find the domain of the function.(b) Locate any intercepts(c)...
- Q Trent can deliver his newspapers in 30 minutes. It takes Lois 20 minutes to do the same route. How long would it take them to deliver the newspapers if they...
- Q Find the first five terms in sequences with the following nth terms.a. 2n +5b. 6n + 2c. 10n - 8d. 2n-1
- Q Solve the equation.3[2(x13)-2(2x + 2)]=4[-(x-6)-5(3x-4)]
- Q If P = 4 +6+8+10+...+100 and Q=8+10+12+14+...+102 are sums of arithmetic sequences, determine which is greater, P or Q, and by how much.
- Q A student claims that 1, 2, 3, and 4 are the zeros of a cubic polynomial function. Explain why the student is mistaken.Select one:a. A cubic function can have at...
- Q Given (x + 13x2 -12x - 8)/(x + 2). What number would you put in the box on the left when using synthetic division?
- Q Suppose a company has fixed costs of $42 and variable cost per unit of 7x +13 dollars, where x is the total number of units produced. Write a cost function...
- Q Air temperature decreases as elevation increases. Suppose the weather at the bottom of WhistlerMountain in British Columbia is 25F one winter day. The temperature x feet above the base of...
- Q Describe the shape of the graph including the end behavior, turning points, and increasing/decreasing intervals.y = 3x - x - 3
- Q A business advertises that everything in the store is an additional 10% off the already reduced prices. Marcus picks out 2 shirts that are on a 30% off rack. If...
- Q 6. Determine which statements are true about the function below. If false, change the statement so it is true.a. the function approaches positive infinity as x approaches negative infinityb. the...
- Q The population of a city in Arizona is 7200 in 2010. The city's population isincreasing at a rate of 8% per decade. Using this information, predict the populationof the city...
- Q Determine the sign of the leading coefficient and the least possible degree of the polynomial function for the graph.Select one:a. positive, 2b. positive, 3c. negative, 2d. negative, 3
- Q Find the present value of the given future amount. Assume 360 days in a year.$22,948 for 171 days at 9.5% simple interest.What is the present value?
- Q Kathy stood on the middle rung of a ladder. She climbed up 3 rungs, moved down 5 rungs, and then climbed up 9 rungs. Then she climbed up the remaining...
- Q Heather held a loan of $1,900 for 8 months and was charged interest of $146.93. What was the annual simple interest rate on this loan? 0.10% 7.73% 11.60% 0.12%
- Q Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verifythe real zeros and...
- Q Use the modular multiplication property to calculate (876 x 978) mod 10 and show your work.
- Q Find the interest on the following loan.$1400 at 9.5% for 3 monthsThe interest is $(Round to the nearest cent as needed.)
- Q Teri goes shopping for some new clothes and then out to lunch with a friend. She spends $32.94 on some shirts, $15.89 for a belt and $19.99 each for two...
- Q Taking successive discounts of 15% off and then 25% off is the same as taking a one time discount of 40%.Please select the best answer from the choices providedTF
- Q Enter the value of each expression in the blank provided. If the expression is undefined, enter undefined in the blank.a. -5(-4)= b. 20(-3) = c. (-12/5).(10/3)=d. -30=
- Q Find the zeros of the function. State any multiplicity.y = (x + 1)(x - 1)(x - 2)
- Q Byron's income last year was $61,700. He made $48,000 at his plumbing job and had income from an apartment that he rented out. If Byron earned the same amount of...
- Q In a typical diabetic, the level of insulin might be given by the following function:55t+100if Osts4320if 4<t?11-85t+1255if 11<ts 1465if 14<t?24Here f(t) is the blood sugar level, in appropriate units, at...
- Q The final grade in an algebra course is based on a weighted average- homework counts 10%, quizzes count 10%, tests count 50%, and the final exam counts 30%. A student...
- Q Determine whether the value of c that makes ax + bx + c a perfect square trinomial is sometimes, always, or never negative. Explain your reasoning.
- Q Allen bought 1,350 shares of stock for $12 per share. If he sold all his shares for $27,000, how much profit on each share did he make?a. $6b. $8C. $10d....
- Q Kai had a gross weekly paycheck of $616 last week. Kai worked 6 hours for 4 of the days and 8 hours on 1 day. What is Kai's hourly rate...
- Q Write the number as a product of a real number and i. Simplify all radical expressions.?-7
- Q The formula S = 16t is used to approximate the distance S, in feet, that an object falls freely from rest in t seconds. The height of a building is...
- Q Describe the translation from the parent function y = x.y = (x - 2) .y = (x + 2)2 y = x + 2y = x - 2y = 2x
- Q Calculate 6-3/4% tax on $2,305.a $15.56b. $145.22C. $146.14d. $155.59
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