Basic Math question and answers for September 19, 2024
- Q Solve:5/x - 7x + 12=2/(x-3)+5/(x-4)No solutionx=4x=3x -4
- Q The height, in feet, of an object t seconds after being launched is given by the equation h = - 16t+64t. How long does it take for the object to...
- Q Identify the axis of symmetry, min/max value, and y-intercept.y = x +6x+16Axis of Symmetry: x = - 3Min Value = 7y-intercept: 16Axis of Symmetry: x = -7Min Value =3y-intercept: -...
- Q Earl's bike shop makes and sells bikes and has a profit function of P(x) = -2x +260x-5000, where P(x) is the profit in dollars from selling x bikesa) For this...
- Q The total fresh vegetables consumed per person per year can be modeled byV(t) = 0.2(t- 3)2 + 64.8 where V(t) is the total fresh vegetables consumed per person in pounds...
- Q A golf pro practices his swing by driving golf balls off the edge of a cliff into a lake. The height of the ball above the lake (measured in meters)...
- Q For the quadratic y = ?3(x - 1) + 2, the 2nd differences would be-6cannot be determined2-3
- Q In an archer shoos an arrow straight upward with initial velocity of 80 ft/sec from a height of 4 feet then it's height above the ground in feet at time...
- Q Find the zeros of the function f(x) = -1.6x + 19x - 53.1. Round values to the nearest hundredth (if necessary).
- Q Supposed Aven drops a ball off the top of a 10 foot pool slide, andthe ball follows the projectile h(t) = -16t + 6, where t is the time inseconds,...
- Q (2 points each) Guadalupe stands on a platform and tosses a penny in the air. Its height in feet off the ground is h. Its time in seconds in the...
- Q A diver jumps upward from the diving board and performs a double twist before entering the water.The function shown describes her height h(t) in feet above the water, t seconds...
- Q A company sells widgets. The amount of profit, y, made by the company, is related tothe selling price of each widget, x, by the given equation. Using this equation, find...
- Q A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation,...
- Q Suppose that a ball is thrown from the top of a 104-foot building. The functionh(t) = - 16t2 +88t + 104 models the height in feet, h, of the ball...
- Q Suppose that a roll of toilet paper is thrown upward from the top of a 52-foot building with initial velocity of 96 feet per second. The function h(t) 16t2 +96t+52...
- Q A toy rocket launch can be represented by a parabolic function. Your most recentlaunch for the science fair can be modeled by the functiony = -4(x - 5) + 125...
- Q Find the discriminant of each quadratic equation thenstate the number and type of solutions.-m + 6m - 19 = -10O 72; one real solutionO 0; two imaginary solutions72; two real...
- Q A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given by the function h = -16t...
- Q Determine if the function is quadratic. If it is, determine if the graph is concave up or concave down. Determine if the vertex of the graph is a maximum point...
- Q Factor the four-term polynomial by grouping.4x-8xy-3x+6ySelect the correct choice below and, if necessary, fill in the answer box within your choice.A.4x-8xy-3x+6y=B. The polynomial is not factorable by grouping.
- Q Factor the trinomial completely.2x +12x+10Select the correct choice below and fill in any answer boxes within your choice.O A. 2x + 12x+10=(3)(Factor completely)O B. The polynomial is prime.
- Q Factor the following trinomial: x - 15x + 54.
- Q Which expression(s) is/are a quartic function? SELECT ALL THE APPLY. (x) =?x (x + 1) (x ? 5) (x+3)f(x) =- (x + 9) (x + 1) (x ? 5) (x+3)f(x)...
- Q Find the value of c that makes the expression a perfect square trinomial.x + 24x + ca 144b 12c 36d 576
- Q The route that a trolley takes around a city can be represented by the functions x2 + y2 = 5. A train track's path can be described by the function...
- Q A rectangle has an area of 384 square meters. Its width is eight meters less than twice thelength. Let A be the area of the rectangle, L be the length...
- Q Consider the daily profit from the production and sale of x units of a product, given byP(x) = -3600+400x - 4x dollars.a) Find the levels of production and sales that...
- Q Solve the equation analytically for all complex solutions, giving exact forms in your solution set. Then, graph the left side of the equation as y, in the suggested viewing window...
- Q Given the quadratic equation-3v + 10 = -2vWhich of the following shows the equation in standard form, the value of thediscriminant, and the correct number and type of roots?Standard Form:...
- Q A smart-phone is thrown upwards from the top of a 240-foot building with an initial velocity of 32 feet per second. The height h of the smart-phone after t seconds...
- Q 1) Determine the equation of a quadratic function in standard form given zeros x = 5, x = -12 and point (0, -60).2) Determine the equation of a quadratic function...
- Q Find the zeros of the function f(x) = x + 7.4x + 7. Round values to the nearest hundredth (if necessary).
- Q Find the zeros of the function f(x) = x -11.2x+28.9. Round values to the nearest hundredth (if necessary).
- Q Using the equation editor or uploading a picture:Solve by using the complete the square method: 9x - 28x-54= -10x Make sure to show all the steps for solving this problem.
- Q Write the quadratic equation whose roots are -6 and -1, and whose leading coefficient is 2.(Use the letter x to represent the variable.)
- Q A company has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by C(x) = 0.1x2 -0.3x + 1.525, where C(x) is in...
- Q Solve 4z-1z - 10 = 0.Round each answer to two decimal places. Enter your answers as a list of numbers, separated with commas. Example: 3.25,4.16
- Q (5 points) Suppose f(x) = -x + 10x - 16.(a) For which values of x is the function f(x) positive? Enter your answer using inequalities. ...
- Q (7 points) You are given a scenario which can be modeled by a quadratic function. Each part of the scenario corresponds to a different part of the graph of the...
- Q Ariana is a songwriter who collects royalties on her songs whenever they are played ina commercial or a movie. Ariana will earn $40 every time one of her songs is...
- Q Solve the quadratic equation by completing the square.x-18x+74=0First, choose the appropriate form and fill in the blanks with the correct numbers.Then, solve the equation. Round your answer to the nearest...
- Q A ball is thrown from an initial height of 5 feet with an initial upward velocity of 35 ft/s. The ball's height h (in feet) after t seconds is given...
- Q Consider the equation below.x3 - 3x ? 4 = 1/r-1 + 5The solutions to the equation are approximately x =0.91 and x =5.373.363.69xt
- Q What is the lower bound of the polynomial function? (x) = x 4x + 9x - x - 14
- Q If a quadratic equation has roots X = 7 and x = -3, which of the following could represent the actual quadratic equation?y = (x + 7)(x + 3)y=(x-7)(x ?...
- Q Divide using synthetic division.(7x+x-8)+(x-1)(7x+x-8) + (x-1)=0(Simplify your answer. Use integers or fractions for any numbers in the expression. Do not factor.)
- Q Every quadratic will have a vertex.TrueFalse
- Q Select the correct expressions in the table Which expressions are equivalent to the given expression 9 4 2 576 64 32i2 24 8i 3 2i 2 24 8i 32i2 24...
- Q Find the complex zeros of the following polynomial function. Write f in factored form.f(x)=x +27The complex zeros of f areUse the complex zeros to factor ff(x) =
- Q Find Z? Z?, andif z? = 2( cos 45 + i sin 45) and Z? = 4( cos 25 + i sin 25). Write your answers in standard polar form...
- Q Find zw and Write each answer in polar form and in exponential form.The product zw in polar form isand in exponential form is
- Q Solve the cubic equation.x +729=0
- Q Use DeMoivre's Theorem to calculate the following expression. Express your answer in the form found using Euler's Formula. |z|n ein0[3 (cos(240) + isin (240))]8
- Q Write the following complex number in standard form, z = a + bi. Use the exact form if possible; otherwise, use a decimal approximation roundedto the hundredths place.5 (cos(315) +...
- Q Perform the following division and write the quotient in trigonometric form. Write the magnitude in exact form. Write the argument in radians andround it to two decimal places if necessary.-6i/...
- Q Perform the following multiplication and write the product in standard form. Express your result in the exact form, if possible; otherwise, use a decimal approximation rounded to the nearest hundredth.(-1-3i)(-2+3i)
- Q Write the following complex number in trigonometric form. Write the argument in radians, and if possible, use the exact form. Otherwise, use adecimal approximation rounded to the hundredths place. ...
- Q Evaluate the series.4? (i+1)i=1i=14? (i+1) = (Simplify your answer. Type an integer or a simplified fraction.)
- Q Solve the following equation in the complex number system. Express solutions in both polar and rectangular form.x-(3-?2+3?/2i)=0Write the solutions as complex numbers in polar form. Choose the correct answer below.A...
- Q Simplify: (7-i)-(-6-8i)+(-2+6i)19 +5i11 + 15%11 + 13i15+i
- Q Write the complex number in trigonometric form r( cos0+ i sin 0), with 0 in the interval [0,360).-1-i -1-i=(cos + i sin)
- Q Which of the following simplified does not contain an imaginary number?a) ?(-49)b)(1+i) (7 4i)c)(2+i) (2-i)d)(3+i)^2
- Q Write the complex number in rectangular form. 6 cis 1356?3 + 3i?3-3?2+ 3i?26?2 - 3i?23?2 - 3i?2
- Q Perform the indicated operations. Write the answer in standard form, a+bi.5-6i/4-2iMultiply the numerator and denominator by the conjugate of the denominator.5-6i-()/4- 2i.()i
- Q Write the standard form of the complex number8(cos(60) + i sin(60)Plot the complex number
- Q The ______of the complex number z = a + bi is z = r(cos(?) + i sin(?)), where r is the ______of z.and ? is________
- Q Fill in the blank __________Theorem states that if z = r(cos? + isin?) is a complex number and n is a positive integer, then z^n = r^n (cos n? +...
- Q Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.(4 + 4i)^6
- Q Use the given zero to find the remaining zeros of each polynomial function.P(x) = x + 14x + x + 14;Step 1Recall the Conjugate Pair Theorem.If a + bi (b...
- Q Find an nth degree polynomial function with real coefficients satisfying the given conditions.n=3; 2 and 3 + 2i are zeros: leading coefficient is 1A. f(x)= x + 5x + 25x...
- Q If R=(?2+1)^2n+1 where [R] and f = R-[R] denotes the greatest integer function and fractional part of R respectively, then the value of [R] is equal to:f+1/ff-1/f1/f-fNone of these
- Q Let z? = 6(cos 130 + i sin 130) and z?=2(cos 190 +isin 190).Find the following.Write your answers in trigonometric form.Give exact values in your answers (not decimal approximations).(a) z1z2...
- Q Given Z1 = 3+0i and 22 = -1- 2i, calculate the product z1z2 and express allthree complex numbers in polar form, rounding all angles to the nearest degree inthe interval...
- Q Write the complex number z=-2-4i in trigonometric form (sometimes called polar form). Express the angle ? in radians, where 0??<2?.Do not round any intermediate computations, and round the values in...
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!