Basic Math Questions and Answers

Solve the polynomial inequality. (x+2) (x-1) (x+4) <0 (-∞, -4) U (-2,1) (-2, 1) (-∞, -4) U[-2, 1] (-4,-2) U (1, ∞)

Consider a curve satisfying the equation y = ar²+bx+c. Suppose that • The curve passes through the point (3,66) and the tangent to the curve at this point is given by y = 23x - 3. • The curve intersects the y-axis at the point (0, 15). Find the values of a, b and c.

A group of mountain climbers begih an expedition with 250 pounds of food. They plan to eat a total of 12 pounds of food per day. Write and solve a linear equation to find the number of days their food will last.

Write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k). Then graph the circle. r = 3; (h,k)=(-2,-1) The standard form of the equation of this circle is (x + 2)2 + (y + 1)² = 9. The general form of the equation of this circle is

A circle has the equation x² + y²-3x-6y +9=0. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. (a) The center of the circle is (Type an ordered pair, using integers or fractions.)

A statistics student takes a pop quiz that consists of three true-false questions. Let's consider the experiment to be the answering of three questions where each can be either answered correctly or incorrectly. Let "C" represent the answering of any given question correctly, and "I" as answering the question incorrectly. Assume that the student has a 50% of correctly answering each question. What is the probability that the student gets all three questions wrong? Show your work in the space provided below, and present your answer in DECIMAL form (eg., 0.999).

Ms. Nickel has a jar of candy on her desk. Jessica thinks there are 3,498 piece of candy in the jar. There are actually 4,182 pieces. What is the difference between Jessica's guess and the actual number of pieces of candy?

Burnem Inc. manufactures thumb drives and sells them to a distributor. Burnem's total cost and total revenue (in dollars) for x thumb drives are given by the following equations. Total cost = 5x + 4430 and Total revenue = 15x How many thumb drives must Burnem sell to break even?

Find an equation for f^-1(x), the inverse function. f-¹(x) = 0

A waterfall has a height of 1000 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet per second. The height, h, of the pebble after t seconds is given by the equation h = - 16t² +24t+1000. How long after the pebble is thrown will it hit the ground? The pebble will hit the ground about seconds after it is thrown.

You plant 300 grass seeds in your circular garden. If your garden has a diameter of 6 feet, how many grass seeds are there per square foot? 10.6 grass seeds per square foot 2.65 grass seeds per square foot 15.92 grass seeds per square foot 50 grass seeds per square foot

If the density of New York City is 26,403 people per square mile, and the city is 302 square miles, how many people are living in New York City? 6,723, 874 people 7,973,706 people 1,346,395 people 880,000 people

Solve the system of equations by elimination, if a solution exists. 8x- 11y=2 |2x -2.75y = - 13 Select the correct answer below and, if necessary, fill in any answer boxes to complete your choice. A. The solution of the system is x = and y = (Type integers or simplified fractions.) B. There are infinitely many solutions. C. There is no solution.

In which way is the word document used in this sentence? I will need your legal identification documents in order for you to be eligible for a driver's license. A. noun - a written or printed paper B. verb to record or make note C. verb - to support with citations or references

Write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k). Then graph the circle. r=2; (h,k)=(3,4) ..... The standard form of the equation of this circle is (x-3)² + (y-4)² = 2². (Type your answer in standard form.) 2 2 The general form of the equation of this circle is x² + y² - 8x+6y=0 (Simplify your answer. Type an equation.)

Set Topic: Completing the square. Find the last term to make the trinomial into a perfect square trinomial: x² + 18x + Write the perfect square trinomial as a product of two factors:

A company finds it can produce 25 heaters for $6650, while producing 30 heaters costs $7900. Express the cost, y, as a linear function of the number of heaters, x. Determine the cost to produce 40 heaters Express the cost, y, as a linear function of the number of heaters, x.

Determine whether the relation is a function. y = -3 Complete the table of values for the equation. Is the relation a function?

Mobile access to social media. The Marketing Management Journal (Fall 2014) published the results of a designed study to investigate satisfaction with the use of mobile devices to access social media. Mobile device users were classified by gender (male or female) and by the social me- dia they use most often (Facebook, Twitter, or YouTube). Consider a similar study in which 10 males and 10 females were sampled for each of the three social media-a total of 60 mobile device users. One of these users is randomly se- lected. Of interest is his or her gender and most used social media. a. Use a tree diagram to determine the possible outcomes (sample points) for this experiment. b. Why should the probabilities assigned to each outcome be equal? Give the value of this probability. c. Find the probability that the selected user is a female who accesses Twitter most often. d. Find the probability that the selected user accesses YouTube most often.

Mary's hourly wage is twice that of John's. John's and Dennis' hourly wages together total $60. If Dennis earns 1/3 of John's rate, what do each of the workers make per hour?

A circle has the equation x² + y² + 6x-8y-11=0. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. (a) The center of the circle is (-3,4). The radius of the circle is

Given f(x)=x²+2, find and simplify. (a) f(t-2) (b) f(a+h)-f(a) (c) f(a)-f(a - h) (a) f(t - 2) = (Simplify your answer. Do not factor.) (b) f(a+h)-f(a) = (Simplify your answer. Do not factor.) (c) f(a)-f(a-h) = (Simplify your answer. Do not factor.)

I can identify congruent parts of a polygon, given a congruency statement 2. List ALL of the congruent parts if EFG≈HGF Which congruent part is correct in regards to Angles: A. Angle E is Congruent to Angle G B. Angle E is Congruent Angle H C. Angle F is Congruent to Angle H D. Angle G is Congruent to Angle H

It takes Cynthia 11 hours to proof a chapter of Hawkes Learning Systems' Intermediate Algebra book and it takes Mandy 5 hours. How long would it take them working together? (Round your answer to two decimal places.)

Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger num- ber, the result is 2. What are the two (2) numbers?

Consider the line y=-x+8. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line? Slope of a perpendicular line: Slope of a parallel line:

Which expression is equivalent to -3 + d + d? A. −2+d B. -d C. −3+2d D. -3d

Charlene and Gary want to make perfume. In order to get the right balance of ingredients for their tastes they bought 5 ounces of rose oil at $4.55 per ounce, 3 ounces of ginger essence for $3.87 per ounce, and 5 ounces of black currant essence for $2.83 per ounce. Determine the cost per ounce of the perfume.

For the equation 3x² + 3y² -24x+12y - 15-0, do the following. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any.

For the following equation, a. Write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 5/ x+1 - 1/ x-1 = 3x/x²-1 a. Write the value or values of the variable that make a denominator zero. X= (Use a comma to separate answers as needed.) ..... b. What is the solution of the equation? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is. (Use a comma to separate answers as needed.). B. The solution set is {x|x is a real number}. C. The solution set is Ø.

What is the center of the circle? x² + y² + 20x-18y = -1 (100, 81) (10,-9). (-10, 9) (-20, 18)

A corporate jet originally cost $17,550,000. If its value depreciates by 5 percent per year, what will its value be after 10 years? $10,507,833.28 $7,042,166.72 $8,775,000 $10,774,177.60

If the Laffite family deposits $8500 in a savings account at 6.75% interest, compounded continuously, how much will be in the account after 25 years? $227,338.93 $45,950.57 $38,094.36 $38,720.02

Determine whether the statement is true or false. Create several pairs of triangles and measure the corresponding sides and angles to justify your response. If three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent.

What do the x and y represent in the equation (x - h)2 + (y -k)² = r²? A point in the circle. The center of the circle. A point on the circle. The radius of the circle.

In a certain triangle, the measure of angle A is four times as big as the measure of angle C and the measure of angle B is 30 degrees bigger than the measure of angle C. What is the degree measure of angle A?

How many lateral surfaces and how many bases are contained in the figure below? One base and two lateral surfaces. Three lateral faces and one base Two lateral faces and two bases. Two bases and one lateral face.

The net of a cylinder is made up of what two-dimensional figures? two circles and one rectangle one circle and one rectangle two rectangles and one circle three circles

Use transformations of f(x)=√x to graph the following function. Select all the transformations that are needed to graph the given function using f(x)=√x A. Stretch the graph horizontally by a factor of 6. B. Stretch the graph vertically by a factor of 6. C. Shrink the graph horizontally by a factor of 6. D. Shrink the graph vertically by a factor of 6. E. Shift the graph 6 units to the left. F. Shift the graph 6 units down. G. Reflect the graph about the y-axis. H. Shift the graph 6 units to the right. I. Shift the graph 6 units up. J. Reflect the graph about the x-axis.

Darnell pays for 500 minutes of Internet use a month. The table indicates his Internet usage over the past 4 months. Positive values indicate the number of minutes he went over his allotted time and negative values indicate the number of minutes he was under. Arrange the months from least to most minutes used.

A total of 492 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?

Three (3) batteries are connected in series so that the total voltage is 54 volts. The voltage of the first battery is twice the voltage of the second and 1/3 the voltage of the third battery. Find the actual voltage of each battery.

Which of the following is a false statement? a. A horizontal cross section of a cylinder and a cross section of a sphere are the same shape. b. The diagonal cross section of a pyramid is a rectangle. c. The cross section of a sphere is the same no matter where the cross section is cut. d. A perpendicular cross section of a cylinder and a horizontal cross section of a rectangular pyramid are the same shape.

Solve each of the following equations by manipulating each side so that it is in simplest form. (a) 5(x+2)+x-3=2(x+12) +35 (b) 10(n-2)-2(n-3)=3(2n+1)+1 (c) -2(y+2)+11=4(y+5)+2y+19 (d) 11-2(t-3) = 5(2t+1)-6(t+3) (e) 4w-(w+29)=3(w+5)-(2w+4) (f) 9a-3(2a+5)=7(a-1) a+10

For the equation 3x² + 3y²-24x+12y-15-0, do the following. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any. (a) The center is (4, -2). (he radius is r =

A certain shampoo is available in two sizes. A 14.2-ounce bottle costs $4.78. A 33.9-ounce bottle costs $10.47. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.

Find the standard form of the equation of the circle having the following properties: Center at the origin Containing the point (-6,8)

Find the lateral surface area and the volume of the solid The lateral surface area of the solid is (04) mm² The volume of the solid is [64] mm

Given the polynomial functions p(x) and q(x), find p(x)+q(x). p(x) = 2x4+ x² - 2x - 4 q(x)= x4 - 3x³ + 2x² - x +4 3x4 - 2x² - 4x x4 + 3x³ - 2x²-x-8 3x4 - 3x³ + 3x² -x4 - 3x³ + x² + x +8

A leading brand of toothpaste is available in four sizes: 6.4 ounces $3.59; 4.2 ounces for $2.79; 4.0 ounces for $2.29; and a travel size of 0.85 ounces for $0.89. Based on unit price, what size is the best buy?