Algebra question and answers for December 26, 2023
- Q Which function defines (9. f)(*)f(1) = log(51)g(x) = 5x + 4A (g)(1) = 5x log(5x) + 4log(51)B. (g f)(x) = 5x log(5x) + 4C. (g. f)(x) = 5x - 4...
- Q Consider this absolute value function.fi=) = |x + 3|If function fis written as a piecewise function, which piece will it include?A. x+3, x>-3B= x+3, x>3C. -x+3, x<-3D. -x+--3, x<3
- Q Solve 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 is x?
- Q Evaluate A = P (1+r)?/(1+r)Click on the given link to view the question. Evaluate A when P = $9000, r = 0.05, t = 6 years.
- Q Handsome Jack is buying a pony made of diamonds. The price of the pony is P dollars, and Jack also has to pay a 25% diamond pony tax.Which of the...
- Q Given f (x): = x + 3x - 4. Name the vertex1. (-1.5, -6.25)2. (-1,7)3. (-4,0)4. (-4,1)
- Q Jovie is maintaining a camp fire. She has kept the fire steadily burning for 10 hours with 15 logs. She wants to know how many hours (h) she could have...
- Q Imagine a scatter plot was created based on the data in this table. Which equation best represents the trend line for the data?a) y=(-3/5)x-12b) y=(3/5)x-12c) y=(3/5)x+12d) y=(-3/5)x+12
- Q Find the final hourly wage if a $11.00 starting wage is increased by 2 % each year for 8 years. The final wage is $. round answer to 2 decimal...
- Q Two angles of a triangle have the same measure and the third one is 57 degrees greater than the measure of each of the other two. Find the measure of...
- Q A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones is $36. What is the original price of the pair of...
- Q The count in a bacteria culture was 200 after 10 minutes and 1600 after 40 minutes. Assuming the count grows exponentially, What was the initial size of the culture? _____Find...
- Q Kathryn left the restaurant traveling 16 mph. Then, 3 hours later, Samantha left traveling the same direction at 28 mph. How long until Samantha catches up with Kathryn?
- Q Tatiana is asked about her age. She answers as follows. "My age is 2 more than four times the age of my son. The sum of our ages is 87.
- Q Find the twenty-seventh term of the arithmetic sequence 22, 21, 20, ...a?? = (Simplify your answer.)
- Q An endangered species of sparrow had an estimated population of 848 in 2000, and scientists predict that its population will decrease by half each year. Estimate the population in 2004....
- Q After a 10% reduction, you purchase a new digital player for $292.5. What was the price of the digital player before the reduction?A) First write an equation you can use...
- Q Find three consecutive numbers whose sum is 327.smaller number =middle number =larger number =
- Q The temperature inside of a storage building, in degrees Fahrenheit, can be modeled using the equationF(t) = -8.3 cos{(?/5)t} + 63.7, where t is the number of hours since midnight.(a)...
- Q Dilate the following figures with the given center of dilation and scale factor, k:(a)D(-?,?),? center of dilation (-7,2) k=2
- Q Classify the model as exponential growth or decay: A = 1200 (.85)?
- Q Find the first term of the arithmetic sequence with a6 = 2.7 and a7 Find the first term of the arithmetic sequence with an = 2.7 and an = 5.2Answer:How...
- Q Describe how the relationship between volume of a pyramid and volume of a rectangular prism is similar to the relationship between the volume of a cylinder and the volume of...
- Q A coordinate plane is formed by two intersecting number lines. The horizontal line is called the x-axis. The vertical line is called the y-axis. This two-axis system is called the...
- Q Traffic control. The graph below shows how the number of traffic signals in a city changed over a 10-year period. Find the average rate of change in the number of...
- Q A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.an = 2(an -1 + 3) and a? = 4a1 = a2 =a3 =a4...
- Q Find all complex solutions for the following equation by hand.4/(x+1) - 8/(x-1) = 8x/(1-x^2)
- Q Which of the following ordered pairs is within the solution set to the following system of inequalities?x-y? 3x-2(1/2)x+1<-ya)(-3,-2)b)No solutionc)(2,3)d)(-1,1)
- Q Which function has been compressed vertically as one of its transformations?a)y=2/3(x-4)^1/2b)y=-2^(x+1) - 10c)y= log0.5 (x+4)-1d)y = 7/4(x+4) + 15
- Q Write as a radical and simplify. x?/?
- Q In 1975, ten students were suspected of putting a car in the gym of the High School. Mr. Brown, the school's principal, called all ten students in to his office...
- Q Two sisters went to a candy shop. Angie bought 9 pounds of peach rings and 1 pound of licorice for $61. Next, Valene boul 5 pounds of peach rings and...
- Q A business owner receives a $5,000 loan with 13% interest, charged at the end of each year.Write an expression to represent the amount owed, in dollars, after the given number...
- Q A store sells CDs at one price and DVDs at another price. The figure below shows the revenue (in dollars) of the music store as a function of the number,...
- Q The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100 to 3. If an elephant weighs 4600...
- Q Solve the following inequality and graph the solution set.|5/6 x- 5| > 10Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The...
- Q A pendulum swings a length of 36 inches on its first swing. Each successive swing is of the preceding swing. Find the length of the fourth swing and the total...
- Q A high school wants to estimate the number of students who plan to see the next school play. Which of the following samples would best represent the entire population of...
- Q If a? = 4 and a? = 3a?? ?+3 then find the value of a?.
- Q Find the seventh term of the geometric sequence 24, 8, 8/13a? = (Simplify your answer. Type an integer or a simplified fraction.)
- Q Find the sum of the first four terms of the sequence.4, 4/5, 4/25S4= (Simplify your answer.)
- Q Solving the following equation will require you to use the quadratic formula. Solve the equation for ? between 0 and 360, and round your answers to the nearest tenth of...
- Q Consider the function f(x) = 2,139(1.075)?. What does the 8 represent?1. The starting value2. The function is growing at a rate of 8%3. The total amount of money and interest4....
- Q Given the following set of functions:f (x) = 2x g(x) = x - 2 h(x)=xEvaluate: g(3) , Choose the correct answer.(a) 3(b) 9(c) 1(d) 6
- Q The height (in feet) of a punted football is a function of the time the ball is in the air. The function is defined by the equation below. What is...
- Q Which is the equation of a hyperbola with co-vertices at (0, 7) and (0, -7) and a transverse axis that is 12 units long?(a) (y/36)-(x/144)=1(b) (x/144)-(y/49)=1(c) (y/14)-(x/144)=1(d) (x/36)-(y/49)=1
- Q Which inequality best represents the domain of the function shown on the graph?
- Q At the beginning of a population study of fish, a colony has 19,654 fish. The fish population increases by 5.6% yearly. Let t be the number of years since the...
- Q Given f(x)=x + 3x-4 Name the y-intercept1. (-1.5, -6.25)2. (-4,0)3. (0, -4)4. (-4,1)
- Q Find the range of the function h(w)= 19-3w for the domain {-4, -1, 2, 5}1. {-34, -25, -16, -7}2. {7, 15, 25, 34}3. {4, 13, 22, 31 }4. {-5, -2,...
- Q Solve the following Bernoulli equation dy/dx+ y/x-2= 5(x-2)y/. Do not put an absolute value in your integrating factor.
- Q (a) Make a scatter plot for the data presented in the table. x -2 -2 -1 0 1 1 1 2 2 3...
- Q ?CUT = ?RATGiven: B is the midpoint of AELA = LELCBA = LDBE
- Q Find c if a 2.82 mi, b = 3.23 mi and ZC = 40.2 degrees.Enter c rounded to 3 decimal places. Assume LA is opposite side a, ZB is opposite...
- Q Given y = (3x - 5)(x + 8), what are the zeros of this function?1. 5 and -82. 5/3 and -83. -5 and 84. 5/3 and 8
- Q A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time, in seconds, and y is height,...
- Q This table represents function f.x -3 -2 -1 0 1 2 ...
- Q Find the exact value of each trigonometric function (no decimals!).1. cos1352. tan 2403. sec120
- Q In the ________ pair (2.37, 5.42) the x-________is 2.37 and the y-coordinate is5.42.The _____of a line is a ratio (fraction) that compares the vertical change with the corresponding horizontal change...
- Q Consider function hh(x)= { 3x-4 x<0 2x- 3x+ 10 0?x<4 2? x?4}What are the values of the function...
- Q Find the general power series solution centered at Xo=0 for the differential equationy' - 2xy = 0
- Q Find a?? given the geometric sequence -2, 6, -18, 54, ...a?? = 80a?? =890a?? =45000a??= 39366
- Q A new amusement park presold discounted tickets for the opening day as well as upon arrival at the park. The opening day ticket sales for the park, including presales, is...
- Q Write the series with summation notation. 3+7+11+15+193+7+ 11 + 15 +19= ??
- Q Write the first four terms of the arithmetic sequence with a? = 2 and 12th term is -31. Write an equation to find the nth term.
- Q Solve the given equation for x.6??-? = 46You may enter the exact value or round to 4 decimal places.
- Q Express using rational exponents. (Assume the variable is a non negative real number.) 6?y
- Q Suppose A = 1 1 -1 2 1 0 ...
- Q Let & be the line of equation (x,y)= (2,1) + t(4,3). And let Q=(-4,9) be a point in the plane. The distance from point Q to the line is:
- Q Solve ? (-5x +4)= x + 2Do not include x = in your answer. If there is no solution, the answer is the empty set
- Q Which function defines ( g)(1) f(x) = (3.6)*+2g(x) = (3.6) 31+1A (J + g)(z) = (1.8)~2z+3B. (g)(x) = (1.8)38+7+2c. (g)(x) = (3.6)45+3D. (g)(x) = (3.6)-20+
- Q The function f(x) = 3^x + 1 is shown above. Complete each of the following statements by dragging the best choice from the list at the bottom of the page....
- Q a) Find the inverse of the following function; y=2/(4X-1)b) Find the sum of the infinite geometric series: 1/2 - 1/4 + 1/8 - .....
- Q Find the sum of the first twelve terms of the sequence - 11,1,13,...,121, where 121 is the twelfth term. The sum is _
- Q x + y - 4x + 4y + 7 = 0 is the equation of a circle with center (h, k) and radius r for:a)h =b)k=c)r=Graph the circle.
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