Algebra question and answers for December 27, 2023
- Q Multiply. (2?3-4) (3?6+1)Provide your answer below:
- Q Simplify. (Assume all variables represent positive real numbers.)?(ab)/?(ab)
- Q Consider the following piecewise function. -3x + 2 , x < 2f(x) = 2x-7, x?2Evaluate f(6)(A) -16(B) 5(C) -11(D) -4
- Q Solve the inequality (x-2)(x ? 3) > 0Select all the intervals below that are included in the solution.x<2x<32<x<3x>2x>3
- Q Express using rational exponents.? 9Provide your answer below:
- Q The school's flagpole has been bent at the base 12" from vertical as shown in the figure. If a 22-ft rope that is attached to the top of the pole...
- Q For each polynomial, find all roots of the function and simplify them as much as possible. Then sketch the complete graph, indicating the viewing window, the x-intercepts and the relative...
- Q Solve the equation [9]17 X+ [4]17 = [6]17 X + [8]17 for XE Z17. Write your answer as X = [X]17 where 0<x< 17. What is x?
- Q The graph of y=f(x) is shown. Draw the graph of y=f(2x)(b) The graph of y=g(x) is shown. Draw the graph of y=1/2g(x)
- Q Find the equation for the parabola that has its focus at the(-11/4,-2) and has directrix at x =51/4
- Q Determine the simple interest rate if an investment of Php65,000.00 accumulates to Php100,000.00 in 45 months. Round off answer to two decimals.A) 12.17%B) 12.18%C) 14.35%D) 14.36%
- Q The number of species born each year in a new aquarium forms a sequence whose general term is an = (n +9)(n+2). Find the number of species born in the...
- Q Each side of an equilateral triangle has a length of d inches. The area of the equilateral triangle is given by A = ?/4d. Identify the equation(s) that represent the...
- Q Multiply, simplify your answer. ?9xy ( ?4xy + ?xy )
- Q Rationalize the denominator. Assume all variables represent positive real numbers. (-2?2) / (4-3?2)
- Q 10).Find f(g(x)) when f(x) = 2x + 1 and g(x) = x + x
- Q Solve the system.y = x + 7x+7y=x+2The solutions are and.
- Q Simplify sec(t) - cos(t)/tan(t) to a single trig function.
- Q Which of the following is a parameterization of the line that passes through the point (-1,-6) with a slope of 4?(a) z = t and y = 4t - 6,...
- Q A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing...
- Q Consider the equation x? + x? + x? + x? = 16. How many solutions are there with 2 ? Xi ? 6 for all i = {1,2,3,4} ?
- Q Test the series for convergence or divergence. ? ?(?1)^(n-1)e^(4)n=1 Identify bn.________________Evaluate the following limit. lim (bn)n??________________Since lim bn =____ 0 and b(n +1) ____ bn for all...
- Q Solve the inequality. Express the solution both on the number line and in interval notation. Use exact forms (such as fractions) instead of decimal approximations.a) x - 2x - 3...
- Q Perform the operation and simplify. Leave answers in exponential form. 5^3/2.5 Provide your answer below:
- Q Find the infinite sum, if it exists: -3+ (1.2) + (-0.48)+...
- Q Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues. {10/3, 10/9, 10/27, 10/81, 10/243.....}. Assume the first term is...
- Q The function f(x) is graphed on the coordinate grid.The function g(x) is given by g(x) = 1.5*. What is g(2) - f(2)?1. -1.752. 1.753. 6.254. 0.5
- Q Expand (5x - 2)(A()125x+50x-20x-8(B) 125x-8(C).125x+50x+20x-8(D). 125x+50x+10x-89
- Q Solve the system by elimination.y=-x^2-2x+2y = 4x+2(a)(5, 3)(b)(1, 1)(c)(0, 2)(d)(2, -9)(e)(4, -11)(f)(-7, -8)(g)(-4, 29)(g)(-6, -22)(h)Ono solutions
- Q Evaluate the function h(x)=x^4+x^2-8 at the given values of the independent variable and simplify.a. h(1) b. h(-1) c. h(-x) d. h(3a)a. h(1)= ____ (Simplify your answer.)
- Q Which equation does the graph below represent?y = 2xy=1/2 xy= 1/2y = 2+x
- Q A sinusoid reaches a maximum value of (?/2,28 )and a minimum value of (?,12)during a single cycle. What is its amplitude?(a)?/2(b)8(c)2?(d)20
- Q Solve the system by elimination.y=2x1y = x1. (5, 3)2. (1, 1)3. (0, 2)4. (2, -9)5. (4, -11)6. (-7, -8)7. (-4, 29)8. (-6, -22)9. no solutions
- Q Simplify: 2x-x-1/x-1 2x+1/x-3x+2Use equation editor to type your answer or insert a picture of the work from your paper.
- Q An auditorium has 79 rows of seats. The first row contains 40 seats. As you move to the rear of the auditorium, each row has 3 more seats than theprevious...
- Q Solve the inequality(x/6) < 12(A) x < 72(B) x < 2(C) x > 72(D) x > 2
- Q Sketch the set of complex numbers such that z(i ?z) z(i + 2) = 2|z| and justify your answer. Hint: Use (a).
- Q Let (G,*) be a group and a, b ? G. Given a * b = b * a- and b*a = a* b-. Find the identity element of G.
- Q Simplify to a single trigonometric function: sec(t)-cos(t)/tan(t)
- Q Simplify ?25d?/8c?1. 5d??c/2c??c2. 5d/2c?c
- Q Evaluate sin? when cos?= 3/8 and ? lies in Quadrant IV.?55/8-?55/85/8-?55/64
- Q Consider the region given byx?7,-x+y ? 5,x+2y-z? 9,x, y, z?0(a) Formulate the problem using slack variables s1 ? 0, s2 ? 0 and 83 ? 0. Write down the basic...
- Q What is an advantage of using the range to describe a data set? Why do you think the standard deviation is considered a more reliable measure of variation than the...
- Q Which of the following expressions is equivalent to (8) ^2/3??8x^94x?(8x^3)34x^3
- Q Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation.x(t) = t + ty(t) = t - 1
- Q What power function does the polynomial f(x) = ?3(x?6)^5(x+11)^7(x+5)^8, resemble for large values of x?y=please explain how to get to the answer
- Q The following distribution shows the daily pocket money of 40 students of a class. If the mean pocket money is 21.7, find the missing frequencies x and y.Daily pocket money...
- Q Use the drawing tool(s) to form the correct answer on the provided number line. What is the solution set of this compound inequality?1 ? |= + 3| ? 4
- Q Select the correct answer from each drop-down menu. Teresa wants to buy 2 new tires for her mountain bike. She has budgeted $120 for the tires, but after researching costs,...
- Q Tell whether x and y show direct variation, inverse variation, or neither.x 1 2 3 4y 7 14 21 28a).Inverse variationb).Direct variationc). Neither
- Q Public Service Utilities uses the equation = 6.66 + 24 log(x) to determine the cost of electricity. x represents the time in hours and y represents the cost in dollars....
- Q Approximate the solution of the system to the nearest thousandth.y = -x + 3x + 2y=-3^xThe solution of the system is about
- Q Consider the graph of y = -3 cos x-2/14 + 4I. The amplitude is 3II. The period is 10III. The phase shift is 2 to the rightIV. The vertical displacement...
- Q Explain why it makes sense to call the expression x + 20x + 100 a "perfect square.Solve x + 20x + 100 = 81.
- Q If $8000 is invested at a rate of 4.7% compounded continuously, find the balance in the account after six years. A= Pe^rt
- Q A framed picture has a total area y, in square inches. The thickness of the frame is represented by x, in inches. The equation y = (8+2x)(10+2x) relates these two...
- Q How many solution(s) does the equation x+2/x-4-1/x=4/x - 4x have ?(a) 0(b)1(c)2(d)3
- Q Convert 13?/6 radians to degrees.1. 1952. 3903. 4504. 900?
- Q Find an expression for some matrix A that has a range space equal to the null space of some matrix B
- Q Not yet answered Marked out of 10.00 Flag questionSolve the equation [6]17 X+ [10117= [13]17 X+ [7]17 for X Z17. Write your answer as X=[x]17 where 0 sx< 17. What...
- Q The sum of a geometric series is 31.75. The first term of the series is 16, and its common ratio is 0.5. How many terms are the series?
- Q You deposit # 100 in a savings account that earns 6% annual interest compounded monthly. What is the balance after 5 years.
- Q Vanessa earns a base salary of $400.00 every week with an additional 5% commission on everything she sells. Vanessa sold $1650.00 worth of items last week.What was Vanessa's total pay...
- Q Let W be the set of all vectors {x , y , x+y} with x and y real. Find a basis of W perp.
- Q Let B={(1 1),(2 1)} a basis for R. Find the vector x if [x]?=(2 3)a) x=(-3 4)b) x=(6 5)c) x=(8 5)d) x=(1 8)
- Q Given y <-2x+3,y?x-4 , which of the following describes the boundary line and shading for the first inequality in the system?a)solid line, shade aboveb)solid line, shade belowc)dashed line, shade...
- Q Find a coterminal angle between U13) -33015) 640
- Q Connie has d dolls. Carla has 8 more dolls than Connie. Which expression represents how many dolls Carla has?a)d-8b)d+8c)d/8d)8d
- Q Sketch and find the measure of an angle in standard position for each reference angle.13. 10 in Quadrant II14. 35 in Quadrant IV15. 34 in Quadrant III
- Q Write each expression in factored form. If it is not possible, write "not possible."(a) a-36(b)49-256(c)3. c +9(d)100/81-16d
- Q Find the midpoint of the segment having endpoints (6.3,-3.2) and (3.2.-6.3). The midpoint is (Simplify your answer. Type an ordered pair, using integers or decimals.)
- Q Find dy/dt.10) y = (1+ sin 12t)?? A) -48(1 + sin 12t)?? cos 12t B)-48(cos 12t)??C) -4(1 + sin 12t)??cos 12t D) -4(1+ sin 12t)??
- Q A farmer wants to build two fenced-off sections within his field, one in the shape of a rectangle and the other in the shape of a square. The side of...
- Q Use the result of Question 17 to find the sum of the first 200 terms of the series. -3+4+11+18+25+... Type your answer into the space below.
- Q Evaluate the expression for x = 4.2. Write your answer in simplest form.(-x + 2)/(x - 5) = ________
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