Algebra question and answers for January 02, 2024
- Q Given the function f(x) = 1 + 8x, calculate the following values:f(a):f(a+h)=f(a+h)-f(a)/h=
- Q Multiply.7i (7-6i)7i (7-6i)=(Type your answer in the form a + b i. Use integers or fractions for any numbers in the expression.)
- Q a-b/2 b, b-c/2make this a harmonic progression in order to prove this is a geometric progression.
- Q Isabella invests an inheritance of $40500 at 5.5% interest, compounded semi-annually for 10 years. Determine the future value of the investment, to the nearest cent. Determine the accumulated interest, to...
- Q A ball is shot straight upward, with its height, in feet, after t seconds given by the function f(t) = ? 16t + 80t. Find the average velocity of the...
- Q Find the exponential function f(x) = Ca whose graph goes through the points (0, 2) and (2,8).a=C =
- Q Using the Law of Sines to solve the triangle if ZA = 42, ZC = 73, b = 14LB isa=C=degreesAssume LA is opposite side a, ZB is opposite side b,...
- Q Let n E N. Use arithmetic in Z?? (that is, use modular arithmetic to prove that 11 divides 33 +10.5".
- Q Solve the equation and enter the solution set in the blank. (Solution set notation is expressed in the form {p}, where P is the solution of the equation.)7/10x - 3/5x...
- Q Equivalent equations are equations that have the same solution set. These equations are produced whenwe perform the Integer operation on each side of an equation, with the exception of multiplication...
- Q Emily invested a total of $8500 in two accounts. One pays 7% interest annually; the other pays 4% interest annually. At the end of the year, Emily earned $460 in...
- Q Find the domain and range of the function given below:f(x) = 2x + 8The domain of f(x) is:All real numbersx?0The range of f(x) is:y?8All real numbersx?0x?2y?0y 20
- Q Using your dice chart page, find the theoretical probability of the event the sum of 7is NOT rolled (experiment is rolling two six-sided fair dice).A) 5/36B) 5/18C) 5/6D) 1/9
- Q This set of questions pertains to trigonometric functions on the coordinate plane.Examine this information: tan 0 = -and sin 0 <0a. In which quadrant would be the terminal side? How...
- Q Simplify:x/5y-7/5(x7/2y-6/5)2/5/x-2y-2/5Entry Tip: put the numerator and denominator in parenthesis. Also put the exponents inparenthesis. To type type (a)^(1/2)/(b^(2/3)). Be sure to use the preview button and be sure you like...
- Q If log, 2 = x and log, 3 = y, evaluate the following in terms of x and y:(a) log, 72 =(b) log, 1296 =(c) logb 1(d) log, 3/log, 8
- Q Given y = 5log,x, which of the following statements is/are true about the function and its graph?I. b>0III. The x-axis is a horizontal asymptote.IV. The y-axis is a vertical asymptote.Select...
- Q Find a first-order L-approximation for the following equationsf(x) = sin x 0?x? 1f(x) = e-3x 0 ? x < 00
- Q Which choice is the explicit formula for the following geometric sequence?0.5, -0.1, 0.02, -0.004, 0.0008, ...A. an= -0.5(0.2)^(n-1)B. an = 0.5(0.2)^nC. an= -0.5(0.3)^(n-1)D. an=-0.5(-0.2)^(n-1)E. an = 0.5(-0.2)^(n-1)
- Q Which recursive sequence would produce the sequence 3, -11, 17, ...?(A) a? = 3 and a? = -2a?-? - 3(B) a? = 3 and a? = -5aa?-? - 2(C) a?...
- Q Suppose you have a credit card debt of $9000. Last month, the bank charged you $135 interest on the debt. 9000 The solution to the equation 135= 9000/12 rrepresents the...
- Q Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purchase so that after her store bucks and...
- Q Enter the simplified form of the expression in the blank. (Do not enter any spaces in the answer.)4(3-7x) (2x9)Type your answer and submit
- Q Find the domain of the relation and determine whether it is a function.a. domain: x ? 0b. It is not a function.c. domain: x > 3d. domain: all real numberse....
- Q A sparkling-water distributor wants to make up 200 gal of sparkling water to sell for $5.00 per gallon. She wishes to mix three grades of water selling for $8.00, $3.00,...
- Q The distance traveled at a constant speed is directly proportional to the time of travel. If Olivia traveled 182 miles in 6.5 hours, how many miles will Olivia travel in...
- Q Consider the function f(x)=1/3(3-x) (9) - 3(a) Determine the roots of the function.(b) Determine the y-intercept of the function(c) Determine any asymptotes in the function.(d) Graph the function above using...
- Q Divide the following complex numbers and express the result in standard form, a + bi, where a and b are fractions in lowest terms.3+7i / 7+ i
- Q Choose the correct description for graphing the solution set of the inequality.X>-5Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.Shade to the...
- Q In blank a, enter conditional equation, contradiction, or identity. In blank b, enter the numerical solution, all real numbers, or no solution.4x-1=2(x-1)+1+2xa. The equation is a (n) b. Solution:
- Q What interval notation describes the solution set of the inequality?x> 50Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.(-?, 50](-?, 50)(50,00)[50, ?)
- Q A ride sharing company charges an initial fee of $1.50 plus $0.18 per minute for a car ride. How many minutes can a person ride for $5?a. Let X represent...
- Q When solving a linear equation, the final equation is 2 = 2. What can you conclude about the equation?Select an answer and submit. For keyboard navigation, use the up/down arrow...
- Q Which of the following functions are linear?a.y=2x +5 b. 5x +2y=10 c. y ==+3X
- Q You rent an apartment that costs $1100 per month during the first year, but the rent is set to go up 8.5% per year. Write a recursive formula to show...
- Q What is the least common denominator of fractions whose denominators are 6 and 9?
- Q One side of a linear equation simplifies to 4x-5. For the equation to be a contradiction, which of the expressions can be on the other side of the equation?Select an...
- Q Find the amount that results from the given investment.$50 invested at 12% compounded continuously after a period of 2 years
- Q Select one or more answers and submit. For keyboard navigation.To solve the equation -5x = -10, add 5 to each side to get x = -5.To solve the equation -5x...
- Q You invested $14,000 in two accounts paying 8% and 9% annual interest, respectively. If the total interest earned for the year was $1160, how much was invested at each rate?
- Q Let f(x) = 5 - 5x + 11x. Calculate the following values:f(a) =f(a+h) =f(a+h)-f(a)/ h =
- Q Find the inverse of the function. Then graph the function and its inverse.f(x) = -4x+ 2
- Q Your college newspaper, The Collegiate Times, has fixed production costs of $7000 per edition,and variable printing and distribution costs of $40 per copy. The Collegiate Times sells for $50per copy.i....
- Q Use algebra to find the inverse of the functionf(x) = x + 8.
- Q Please find the coefficient of the given term in the binomial expansion. Please use combination.x4 term, (x - 2)^12
- Q Find the solution of the exponential equation100 (1.03)2 = 500,000
- Q Without graphing, identify the vertex, axis of symmetry, and transformations from the parent function f(x) = |x|.y = |x-6 +3The vertex is(Type an ordered pair.)
- Q Select all equations that are equivalent to the equation.18 9-3(6x+3)Multiple answers: Multiple answers are accepted for this queSelect one or more answers and submit. For keyboard navigation...
- Q The intersection of the surface z = 3xy + 8x +9y5+1 with the plane y = 1 is a curveC. Find an equation of the line tangent to C at...
- Q Fill in each blank with the appropriate word or expression required to solve -3x = 12.a. To solve the equation, we must divide each side of the equation byb. Performing...
- Q Including a 5% sales tax, an inn charges $150.15 per night. Find the inn's nightly cost before tax is added.
- Q Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 4%, If no money is added or withdrawn from the account, answer the following...
- Q 6) Determine if a number is a solution of an equation. Fill in the BlanksType your answers in all of the blanks and submitX? X* 2-Consider the equation 3(2x -...
- Q Let f(n) be the number of weak ordered 2-partitions (S1, S2) of [n] = {1,2,...,n} which satisfiesthat |S?| ?1 and |S?| ? 2.(a) Show that exponential generating function of(n) =...
- Q Given the base 7 number 10203, answer the following. You might draw a place value chart in thisbase if that is helpful.What is the place value of the 2?What is...
- Q After a 60% reduction, you purchase a new sofa on sale for $224. What was the original price of the sofa?
- Q Solve the system by substitution.2x + y = 43x + 2y = 1Select one:The solution has one value that is zero.Ob. The solution has a negative x value.Oc. The solution...
- Q Given that f(x)=x-13 and g(x)=5x+15, find (g-1)(-4), if it exists.Select the correct choice below and, if necessary, fill in the answer box to completeA. (g-1)(-4)= (Simplify your answer.)B. (g-1)(-4) does...
- Q Find the solution of the exponential equation 100(1.03)2 = 500, 000 in terms of logarithms, or correct to four decimal places. t=____
- Q Solve the equation. Enter the solution set below. If the answer is a fraction, use the / mark to enter the fraction as in 2/3. Recall that solution set notation...
- Q Solve for y and check the solution:3(2y - 6) + 8y = 12y + 2
- Q Write the general form of the equation of the circle.Center: (-4, 1); solution point: (1, 3)Write the general form of the equation of the circle.Center: (0, 0); radius: 3
- Q Match the type of graph on the left with the number of solutions on the right.parallel linessame lineintersecting lines
- Q Determine whether y varies directly with x.y = 2x + 2 Choose...2y = -7xy = 5xChoose...Choose...
- Q A store sells small notebooks for $8 and large notebooks for $16. If a student buys 6 notebooks and spends $80, how many of each size did he buy?He bought...
- Q 9x - 6y = 246x - 4y = 16The graph isSelect one:A. the same lineB.parallel linesC.intersecting lines
- Q y = -x +3y = 3/2x-2What is the x-coordinate of the solution?Answer:Check
- Q The following system has infinitely many solutions:2x + y = 10-2x - y = 6Select one:TrueFalse
- Q Which investment would be worth the most after 20 years?An initial investment of $3000 compounded annually at a rate of 12% after 20 years.An initial investment of $3000 compounded quarterly...
- Q A shop has one-pound bags of peanuts for $2 and three-pound bags of peanuts for $5.50. If you buy 5 bags and spend $17, how many of each size bag...
- Q A population increases by 6% each year. What would be the annual growth factor or multiplier?61.06940.94
- Q What is the differences between a corporation and a sole proprietorship? What are the key differences between a public and a private corporation?
- Q Solve the equation. Enter the solution set of the equation. A solution set is of the form 1/5x - 4/5= 4
- Q Find the area of the sector associated with a single slice of pizza if the entire pizza has a 14-inch diameter, and the pizza is cut into 8 pieces. Show...
- Q Andre and Rachel are planning their wedding reception. The venue they selected charges a $1200 rental fee plus a $75 per person catering fee. If they have $15,000 to spend...
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