Algebra question and answers for January 01, 2024
- Q . Solve each of the following quadratic equations. Express your solutions in simplest a+bi form. Check.(a) x + 4x+20=12x-5(c) 2x-25x+27= -15x-10(e) x +6x+15=8x-2(d) 8x +36x+24=12x+5(f) 4x +38x+50=10x-35
- Q This problem uses some strange units, but if you know how to perform a unit conversion in general, then you can do this problem.We want to convert 5.6 teeps /...
- Q Odd functions are symmetric about the:a) x-axisOb) originc) y-axisd) line y = x
- Q Complete each of the following with the most correct word or phrase.a. Every _____ function has at least one asymptote.b. The equation of the ______ rational function can be determined...
- Q Combine and simplify each of the following. Note that each pair of fractions already has a commondenominator.(a) 3x+7/x+2 + 2x+3/x+2(b) 5x+2/4x-12 3x+8/4x-12(c) 6x - 8x/x-25- 4x + 2x/x -25
- Q What is the difference between a tangent line to a function and a secant line to the function?a) a secant line touches the curve at only one pointb) a tangent...
- Q Which linear equation BEST represents the line of best fit for the scatterplot?A) y= 1/3 x-1B)y=-1/3x+1C) y = 3x + 1D) y = 3x - 1
- Q For the right triangle below, find the length of x. Round to the hundredths. (2 decimal places)
- Q Question 4. Draw a small life-cycle graph for female cheetah's, labelling each arrow, to confirm that you have a clear biological interpretation of the elements of L.Question 5. (Challenging question.)...
- Q Divide as indicated.x + 4/5 + 5x+20/4Select the correct choice below and fill in the answer box(es) to complete your choice.(Simplify your answer. Use integers or fractions for any numbers...
- Q 3. The following is half of an identity:sec x csc x/sec x + csc x =?Graph the left side on the coordinate axes with the window: [-27, 2?] by [-2,2]Label...
- Q 4. Find the sum of each arithmetic series described below_(a) The sum of the first 100 even, natural numbers.
- Q What type of function is graphed?What do you notice about the graphs?Can you write the equation of the second graph?
- Q Evaluate the given exponential expression.(4^4)3
- Q Independent Practice/HomeworkFind the values of the six trigonometric functions for angle L.
- Q Evaluate the given exponential expression.6-4.6
- Q Simplify the algebraic expression.5(4x + 4)-95(4x + 4)-9=
- Q Evaluate the given exponential expression.- 2?
- Q Graph the following inequality on a real number line.11>x?5Choose the correct graph below.
- Q Simplify the exponential expression.(-21ab4 / 7a7b-9) 3
- Q Make Sense and Persevere Cindy found a collection of baseball cards in her attic worth$8,000. The collection is estimated to increase in value by 1.5% per year. Write an exponential...
- Q Grayson is deciding which meat to get at the grocery store. If he buys bacon is 82%. If he brings home the bacon, there is a 60% chance that his...
- Q Perform the indicated computation. Write the answer in scientific notation.(2104) (3.110)
- Q Phillip invested his $6, 600 savings in an account earning 73/4 % annual interest that is compounded continuously. How long in years, will it take to earn $400 in interest?...
- Q Find the inverse: f(x) = log3 (x+1)-2. Present the answer using function notation.Sorry, that's incorrect. Try again?3x+2-1
- Q Simplify the algebraic expression.2(2x + 2)-3
- Q Solve the equation: 2 loga - log 36 = 0. Select all applicable answers.Select all that apply:601-6No Solution
- Q Simplify the algebraic expression.7(3y-5)+ 4(5y + 3)
- Q Use the order of operations to simplify the following expression.21+3+3 2/(12-3.2)2
- Q Use least-squares regression to find the equation of the parabola y = P? x + B? x that best fits the data points (1,2), (2,3), (3,4),(5,2)
- Q If money is invested in an account earning 3.15% annual interest that is compounded continuously, how long will it take the amount to double? Round your answer to the nearest...
- Q Suppose V is finite-dimensional with dim V> 0, and suppose W is infinite-dimensional. Prove that L (V. W) is infinite-dimensional.
- Q Solve 81^2x+1 = 3 using the one-to-one property of exponential functions.
- Q If the ratio 2x +17x+42 / x+5 is placed in the form q(x)+ r/x+5 , where q(x) is a polynomial, then which of the following is the correct value of...
- Q Scott invested $3,000 in an account earning 41% annual interest that is compounded continuously. How long will it take the investment to grow $5, 500? Round your answer to the...
- Q The tree diagram represents an experiment consisting of two trials.P(A and C) = [?]
- Q Consider the system of equationsx + y z = 1,x + y + z = 1,x+y+z = 1.Determine all solutions in C3 using the Elimination and the Extensions Theorems. You...
- Q Hence find all the roots of the equation48x5 60x + 15x + 2 = 0.
- Q Explain what absolute value means. Then, describe how to evaluate an ex-pression within an absolute value symbol.To help, consider the following absolute value expressions:|-18) = ?|18|=?Be sure to write in...
- Q The Soule's live on a corner lot. Often, children cut across their lot to save walking distance. The diagram to the right represents the corner lot. The children's path is...
- Q A ball is thrown downward from the top of a 190-foot building with an initial velocity of 24 feet per second. The height of the ball h after t seconds...
- Q Find the point at which the line f(x) = 4x + 1 intersects the lineg(x) = 5x + 2-
- Q Rewrite as a radical and then simplify: (-32)3/5Provide your answer below:
- Q Eiko is wearing a magic ring that increases the power of her healing spell by 30%. Without the ring, her healing spell restores H health points. Which of the following...
- Q Given LABC AEFG, with medians CD and GH respectively, AC = 9, EG = 6, CD = x + 2, and GH = 2x - 4. Find GH.
- Q Refer to the model Q (t) = Qoe^(-0.000121t) used for radiocarbon dating. At an archeological site, scientists uncovered human remains. A sample from a human bone taken from the site...
- Q Let g(x) = 2x - x + 4. Find the value of the function when x = 1.(A) -5(B) 7(C) 5
- Q What is the interest earned if you deposit $3,500 that earns 8% for 4 years?(A) $1,120(B) $1220(C) $1,201(D) $1102
- Q True or False: If you deposit $1,800 and earn 4% interest for 2 years, your interest is $174.(A) True(B) False
- Q 9x <= -2y-3-6y > 8x + 8Determine if (-5,4) is a solution to the system of inequalities above.Select the correct answer below:(A) Yes(B) No
- Q Autumn invested $2,800 in an account paying an interest rate of 6.2% compounded monthly. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would...
- Q What is the surface area of the cylinder with height 3 mi and radius 7 mi? Round your answer to the nearest thousandth.
- Q A radio disc jockey has 7 songs on this upcoming hour's playlist: 2 are rock songs, 2 are reggae songs, and 3 are country songs. The disc jockey randomly chooses...
- Q Determine if (-8, -3) is a solution to the following system of inequalities. 5y < -9x - 3 3? 7y ? 8 Select the correct answer below : A. Yes...
- Q Evaluate the expression below for p = -2 and q = 3: [(p^2)q]^3
- Q Jackson wants to buy cookies for his friend. The circumference of each cookie is 31.4 cm. What is the area of each cookie?(A) 100.48 cm2(B) 78.5 cm(C) 19.65 cm?
- Q Kara's Custom Tees experienced fixed costs of $500 and variable costs of $2 a shirt. Write an equation that can be used to determine the total expenses encountered by Kara's...
- Q Is (-9, -7) a solution to the following system of inequalities?5y <= -4 + (x + 2)2+ |x + 3| > 5ySelect the correct answer below:(A) Yes(B) No
- Q $7,500 is invested in an account earning 6.2% interest (APR), compounded daily. Write a function showing the value of the account after t years, where the annual growth rate can...
- Q A biologist wants to know the width w of a river so that instruments for studying the pollutants in the water can be set property. From the biologist walks downstream...
- Q Answer the questions given the differential equation, x 3x + 2x = 0, x(0) =1, x(0) = -1. Compute x =e^Atx(0)
- Q Choose the correct graph for the solution set of the system of linear inequalities:x-y? -3x +y ? 3
- Q Solve the following system of equations.Enter your answer as an ordered pair (x, y).Provide your answer below:5x - 8y= 37-3x - 7y= 25
- Q Find the volume of the region between the planes x + y + 4z=5 and 2x +2y+z=10 in the first octant.The volume is(Type an integer or a simplified fraction.)
- Q You purchase an RV by making a down payment of $10,800. The terms of your finance agreement have an annual interest rate of 2.66%, compounded monthly, and require you to...
- Q The one-to-one function fis defined below.f(x)= 3x-8/7x+6Find f(x), where f is the inverse of f.-1
- Q Solve the problem. A ship sailing parallel to shore sights a lighthouse at an angle of 14" from its direction of travel. After traveling 2 miles farther, the angle is...
- Q The base of a right pyramid is a regular hexagon with sides of length 8 m. The altitude is 4 m. Find the total surface area of the pyramid. The...
- Q Solve the following LPP by two phase method.Max Z = 5x1 - 4x2 + 3x3s.t.2x1 + x2 - 6x3 = 206x1 + 5x2 + 10x3 ? 768x13x26x3 ? 50x1, x2,...
- Q Evaluate [F.dr if F(x, y) = (4e)i + (4xe')] and the curve C is line segments going from (0,0) to (5,4) to (1,2).
- Q The population of Tempe, Arizona was 64000 in 1970. in 1980 it was 107000.a) Use the data to determine k in the growth model.b) Use the data to predict the...
- Q Find the standard matrix for the following transformation T: T is a composition of a counterclockwise rotation of R through 5?/6rad followed by a reflection of R2 in the line...
- Q Every two weeks, a solar panel company selects fifty of their modules and measures their power output. The most recent test gave an average of 320 watts, with a 95%...
- Q Graph the following system of linear inequalities to find the solution set. x + 4y ? - 8 - 3x +y ? -3
- Q The mean number of songs downloaded by a group of teens last month was 28 with a standard deviation of 3. If the number of songs that Jack downloaded was...
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