Basic Math Questions and Answers

Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. A number decreased by the sum of the number and six. What is the algebraic expression?

Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. h(x) = 3|x+4| What transformations are needed in order to obtain the graph of h(x) from the graph of f(x)? Select all that apply. A. Horizontal stretch/shrink B. Reflection about the x-axis C. Horizontal shift D. Vertical stretch/shrink E. Vertical shift F. Reflection about the y-axis

Using the Addition Method, find the value of y in the system of equations 2x = 3y - 5 and 5x+6y= 28

Use transformations of the graph of f(x) = x³ to determine the graph of the given function. g(x) = (x+3)³

A robot is on the surface of Mars. The angle of depression from a camera in the robot to a rock on the surface of Mars is 13.72°. The camera is 154.0 cm above the surface. How far is the camera from the rock?

Which of the lines in the picture is parallel to line ? Explain how you know. b. Explain how to translate, rotate or reflect line to obtain line k. c. Explain how to translate, rotate or reflect line to obtain line p.

One number exceeds another by 13. The sum of the numbers is 57. What are the numbers?

Julie borrows the same $1,000 for her furniture. However, the bank she went to charges a compound interest of 10 percent. If Julie's loan will be paid off in two years, how much will Julie pay the bank in total?

What are the coordinates of the point of intersection of y = 5x-3 and y = 13-3x? The coordinates of the point of intersection are

In a regular hexagon, one of the sides measures 3.0 centimeters. What is the distance, in centimeters, between the flats of the regular hexagon? (Round to three decimal places, if necessary) Your Answer:

A cylinder of water was holding a volume of 2 mL of water. An irregularly shaped stone was put into the cylinder and the volume rose to 8 mL. If the mass of the stone was 21 g, what was its density? 2.63 g/mL 2.1 g/ml 10.5 g/mL 3.5 g/mL

What is the accuracy of the measurement 1.320 inches? 2 significant digits oneth of an inch tenth of an inch hundredth of an inch 3 significant digits 1 significant digit 4 significant digits thousandth of an inch

After a busy day of orders, a florist has 6 roses, 7 lilies, 3 carnations, 35 chrysanthemums, 27 sunflowers, 18 violets, and 9 tulips left in her inventory. Part A: Write a ratio that compares the number of roses to the number of violets. Part B: Describe what three other comparisons have the same ratio. Part C: Provide reasoning why more than one comparison can be made with the same ratio.

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.