Algebra question and answers for October 18, 2023
- Q Select all that are True.The Law of Sines works for most triangles but not for right triangles.The Law of Cosines works for most triangles but not for right triangles.The Law...
- Q Give the slope and the y-intercept of the line y = x + 7. Make sure the y-intercept is written as anordered pair.Slope =y-intercept =
- Q Use the graph below to help you answer the questions.a. Show use of division to find the remaining roots of y = x - 4x - x + 4.b. Use...
- Q Maurice says: "Every linear function has exactly one zero. It follows from the Fundamental Theorem of Algebra." Cheryl disagrees. "What about the linear function y = 2?" she asks. Whose...
- Q Choose the property illustrated by the following statement.0 +6=6A. additive inverse propertyB. associative property of additionC. commutative property of additionD. identity element of addition
- Q Simplify the expression.2r-4r+7+r
- Q Find all points having a y-coordinate of - 6whose distance from the point 11, 22 is 17.(a) By using the Pythagorean Theorem.(b) By using the distance formula.
- Q Which value is NOT a solution to the equation? Choose all that apply.27= -x4 - 12xSelect one or more:a. 0b. 3ic. ??3d. 3
- Q Padraig is a financial advisor. He earned a salary of $80,000 last year and sold stocks for $5,000. Which of the following types of income did Padraig have?I earned incomeIl...
- Q Use a calculator to identify the following for the parabola: y = x + 2x + 1a. vertexb. axis of symmeteryc. maximum or minimum valued. domaine. range
- Q Enter the appropriate word or phrase in each blank. (Use^ to denote an exponent. Do not enter spaces in your answer. Enter thesimplified expressions in parts b and d.)a. The...
- Q Find the inverse for each of the following one-to-one functions.(a) f(x) = 2x + 7f-(x) =(b) f(x) = -x-4/4x + 1f-(x) =(c) f(x)=?x-1, x ? 1.f-(x) = x ?
- Q To measure the area of a quadrangle, two students decided to walk along two sides of the rectangular lot, starting at the same corner at the same time. If student...
- Q Consider sec(-(2 + 3x)) = ?2.The principle solution is x =We now determine all solutions for this problem.What is the period of secant?List all values of 0 in the interval...
- Q Give all transformations that occur to the function y=x that produce the function y=2|x|-3. Give boththe transformations and the order in which they occur.
- Q Divide and simplify to the form a + bi.20 i/3+ i
- Q Write the expression in the standard form a + b i.(5+3i)-(9-8i)(5+3i)-(9-8i) = (Simplify your answer.)
- Q Write the expression in the standard form a + bi.(4-8 i) + (9+3i)(4-8 i) + (9 +3i) = (Simplify your answer.)
- Q Divide and express the result in standard form.2/6-i
- Q Explain why i23 must be equal to -i
- Q Plot the complex number -3i and find its absolute value.
- Q Plot the complex number and find its absolute value.5+4i
- Q Let L1 be the line passing through the pointP1=(-10, 5, 11) with direction vector ?d1=[?2, 3, 2]T, and let L2 be the line passingthrough the point P2=(-34, 13, -3) withdirection...
- Q Financial Markets. The tock and bond markets are not the onlyfinancial markets. Give two or three additional examples.
- Q Solve cos^2(x) = 3 sin(x) for all solutions x ? [0,2?].
- Q Which of the following explains why f(x) = log4x does not have a y-intercept? Check all that apply.There is no power of 4 that is equal to 0.There is no...
- Q Solve for x and check for extranepus roots.(a) ?x-1=1x =(b) ?x - 2 = x - 2X =(c) ?x + 6 = xX =(d) ?3x + 16 = ?8+?4x +...
- Q 2. Show your work.a. Simplify using i: -144b. Find the absolute value: -1 + 3/c. Simplify: (1-21)-(-2-i)d. Simplify: (4- i)(2 + 5i)e. Simplify:-2-3i/6i
- Q Newton's Law of Cooling states that for a cooling substance with initial temperature To, the temperature T after t minutes can be modeled 0' by T = (To-T)e+T, where T...
- Q Write the quotient as a complex number. Show your work.-2i/1 + i
- Q What does the notation Ry-3x+1(DAB) mean?ReflectionRotationClockwiseCounter-clockwiseAround the origin to the axisOver the x-axisOver the y-axisOver y-3x+118090270
- Q Divide and express the result in standard form.5i/2-7i5i/2-7i(Simplify your answer. Type your answer in the form a +bi. Use integers or fractions for any numbers in the expression.)
- Q .Find a general solution toy" - 2y + 1y =12.5elt/t + 1Use a and b for the constants of integration associated with the homogeneous solution.y =
- Q Perform the indicated multiplication.- 4i(-3+7i)
- Q Given the function h(x)=x-7x +14x -38x-60 has a zero of 1+3i, find the remaining zeros of the function (using algebra!). Write the function in factored form over the complex number...
- Q Enter the expression or number that is required to solve the equation. Do not enter any blank spaces in your answers.2(1 5x) = 72a. Apply the distributive property: Write your...
- Q The property of equality states that we can add or the same number from each side of an equation and obtain an equivalent equation.The property of equality states that we...
- Q Solve the equation. Enter the solution set below. Recall that solution set notation is written in the form {p}, where P is the solution of the equation. (For example, if...
- Q Question 36 (1 point) At a sandwich shop, 42% of customers buy a drink with their sandwich. Only 28% of customers buy a drink and chips with their sandwich. What...
- Q Andy and Cheyenne are planning to have their wedding and reception at a local venue. The venue charges a rental fee of $2030.The menu they have selected costs $36.75 per...
- Q If a linear equation is an identity, what is its solution set?Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
- Q Let f(x) = - 3x + 7. Find each of the following:f(a) =2f(a) =f(2a) =f(a + 2) =f(a) + f(2)=
- Q Write the equation of the line in standard form.slope = 3; (-1, 4)Select one:a. 3x=y-7b. x-3y = -7c. 3x-y = -7d. y = 3x +7
- Q Perform the indicated operation.(4 + 2i)(4-2i)
- Q Graph the function f(x)=4/ x+2 -1State the domain and the range (2)
- Q Darnell invested a total of $52,000 in two accounts. The first account earned 13% after one year.However, the second account suffered a 5% loss in the same time. At the...
- Q Subtract and simplify.(13+5i)-(4+3i)(13+5i)-(4+3i) =(Simplify your answer. Type your answer in the form a + bi.)
- Q Express 9[cos(60) isin(60)] in the form a+ bi
- Q Determine whether each of the following mapping is a homomorphism (justify youranswer). If yes, find its kernel.i. Define : Z ? R by p(x) = x. (where Z and R...
- Q Using Euler's equation (eixes) eix eg)prove (1) sini+sing = 2 Sin (x+y). cos (x-4)sin(x+y)+sin(x-y)(2) Sinx cosy(3) cost cosy = =cos(x+y) - cos(x-y)
- Q Solve the following instance of SAT with the partial enumeration algorithm:(Y? VY? VY?) A (Y? V-Y?) A(-Y? VY3) A(-Y? V-Y?).
- Q If a linear function has the points (-9,9) and (-1,8) on its graph, what is the rate of change of the function? Select the correct choice below and, if necessary,...
- Q Find the indicated roots. Express answers in trigonometric form. The sixth roots of 729( cos 0+ i sin 0). Choose the sixth roots of 729( cos 0 + i sin...
- Q 11. (Equations with fractions/decimals) In college algebra, you will not only see equations with fractions, but you will also see equations with decimals. Keep in mind that decimals are just...
- Q Which of the following values of x is not in the domain of g(x) = 4x-1/2x+1 ?x=-1/12(1) x = -1/2(2) x =-1(3) x=-1(4) x = -3
- Q The diagram shows a cable car following a straight path as it climbs up a mountainslope from A to C. The cable car moves along AB for 500 m and...
- Q Complete the following simplification.6 cis(47,000)/cis(47,000)= 6 cis_____
- Q Select the correct answer below:f(x)=2-log1/3 (2-1)f(x)=1-log1/3 (x-1)f(x)=2-log1/3 (2+1)f(x)=1-log1/3 (x + 1)
- Q -6 + |x + 2| <= 7y8 + |x + 3| <= 5yDetermine if (-3,3) is a solution to the system of inequalities above.Select the correct answer below:(A) Yes(B) No
- Q Solve 6*6 = 36*+1.a. X=-4b. x=4C. X=6d. x=-6
- Q An investment of $76,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8%...
- Q Find f+g, f-g, fg and f/gDetermine the domain for each function.f(x)=3x-25x-18, g(x)=x-9(f+g)(x) = (Simplify your answer.)
- Q Exponential variable on both sides5. 5x = 3x+4
- Q Choose the correct statement.For any angle 8, we have sin (-?)=sin ? . (So sine is an odd function.)For any angle 8, we have sin (-?) = sin ?. (So...
- Q Solve the equation cot? = ?3 for all values of 0 in the domain 0 ?? < 27. Also, draw either a horizontal, vertical or diagonal line that goes through...
- Q Find the domain of the following function:f(x)=1/ (x-8)(x - 6)Select the correct answer below:a) All real numbersb) All real numbers except 8 and 6c) All real numbers except - 8...
- Q Plot the complex number. Then write the complex number in polar form1-3iPlot the complex number.
- Q Find zw. Leave your answer in polar form.z = 3 (cos ?/7 + i sin ?/7)w=5(cos ?/11 + i sin ?/11)
- Q How long will it take for a $2500 investment to grow to $3500 at an annual rate of 7.5%, compounded quarterly? Assume that no withdrawals are made. Do not round...
- Q If f(z) has an inverse function f-(a), could either the graph of for the graph of f- be symmetric withrespect to the y-axis? Please, explain your reasoning or use an...
- Q c) An analyst models the spot interest rate with the following stochastic differential equation:dR = (u - Rt)dt + dB, where u is a positive constant.Using Ito's lemma on the...
- Q Let p be an odd prime number. Which integers a have the property that the inverse of a is congruent to a modulo p? Study the case p =7 and...
- Q Find the numerical value of the area under the standard normal curve that is greater than 1.67.
- Q In the space at the right, graph the circle whose equation is (x + 6) +(y - 2) = 36 and fill-in-the-blanks. You may use either algebraic notation or interval...
- Q A normal distribution has a mean of 76 and a standard deviation of 4. Determine the z- score for the data value of 88.z=
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