Basic Math Questions and Answers

Which of the following correctly completes the square for the equation below? x+18x=0 A. (x+9)² = 81 B. (x+3/2)^2 = 9 C. (x+3)² = 9 D. (x+18)² = 81

Which of the following shows the polynomial below written in descending order? 3x³ +9x7-x+ 4x12 A. -x+3x³ +9x7 + 4x¹2 B. 4x12 + 9x + 3x³ - x C. 9x7 + 4x¹2 + 3x³ - x D. 3x³ + 4x¹2 + 9x²-x

The solution to a two-variable system is the point on a graph at which the lines cross. A. True B. False

Shopping While shopping for clothes, Tracy spent $34 less than 3 times what Jaclyn spent. Tracy spent $11. Write and solve an equation to find how much Jaclyn spent. Let x represent how much Jaclyn spent. The equation that can be used to determine how much Jaclyn has spent is Jaclyn spent $

The top and bottom margins of a poster are 2 cm and the side margins are each 2 cm. If the area of printed material on the poster is fixed at 388 square centimeters, find the dimensions of the poster with the smallest area Width= Height=

Solve the system of equations below by graphing them with a pencil and paper. Choose the correct ordered pair (b, u). u=-b+21 u=-2b+30 A. (5, 15) B. (9,12) C. (15,5) D. (12,9)

A restaurant serves dessert in a cone-shaped dish with a diameter of 7 cm. If the dish is 10 cm deep, how many cubic centimeters of dessert can the dish hold? Use 3.14 to approximate the answer to two decimal places if necessary. 512.87 cm3 128.22 cm³ 384.65 cm³ 73.27 cm³

For the given data set, find the a. mean b. median c. mode (or state that there is no mode) d. midrange. Ages of teachers in the mathematics department of a certain high school: 25, 53, 36, 59, 25, 53, 25, 47, 47, 43 a. 41.3 b. 45 c. 47 d. 42 a. 31 b. 45 c. 25 d. 42 a. 41.3 b. 45 c. 25 d. 42 a. 26.3 b. 45 C. 25 d. 42

Which polynomial represents the sum below? (x^8+2x+1)+ (2x^4 + x² + 1) A. x^8 + 4x^4 + x² + 2 B. x^16 +16x^8 + x² + 2 C. 2x^8 + 8x^4 + 2x² +2 D. 16x^8 + x² + 2

Open-Ended Write an equation to represent the following description. Use pencil and paper. Describe a real-world situation the equation could represent. Eighteen less than four times a number is - 13. Choose the correct answer below. A. 18x-4 = -13 B. 4x 18 = -13 C. 18x + 4 = −13 D. 4x+18 = -13 E. 4(x-18) = 13

Select all of the sequences of transformations on the isosceles trapezoid below that would result in a congruent figure. A horizontal reflection, followed by a 3 unit translation down. A 5 unit translation to the left, followed by dilation by a scale factor of 1/2. A vertical reflection, followed by a rotation of 90 degrees clockwise. A vertical reflection, followed by a rotation 270 degrees counterclockwise. A rotation 180 degrees clockwise, followed by dilation by a scale factor of 3.

If the value of "y" varies directly with "x" and y=-51 when x = 3, find "y" if x = 2. Enter the number that belongs in the green box. y = [?]

Find the sum of the polynomials below: (8x9 + 6x6 - 2x+6) + (9x⁹ + 4x6 + 9x+7) A. 17x9 + 10x6-7x+13 B. 10x⁹ + 17x6 + 7x+ 13 C. 72x9 +24x6-18x² + 13 D. 17x + 10x + 7x+13

Write a function g(x) that represents the exponential function f(x) = 2x after a vertical stretch by a factor of 2 and a reflection across the x-axis. Graph both functions. Find the equation for g(x).

For what value of k will the function y = 3x²+4r-7/x²-5x+k have asymptotes at x = 6, x= -1, and y = 3? (A) k=6 (B) k=-6 (C) No such value of k exists because regardless of the horizontal asymptote is y = 0 (D) No such value of k exists because there will be a hole, not a vertical asymptote, at x= -1

Suppose Solid A and Solid B are similar. Solid A has an edge length of 18 cm, and the corresponding edge in Solid B is 12 cm. If the volume of Solid A is 229.5 cm³, what is the volume of Solid B in cubic centimeters?

What number must you add to complete the square? x^2+8x=50

Consider the function f(x) = 4 - 4x², -5 ≤ x ≤ 2. The absolute maximum value is and this occurs at x = The absolute minimum value is and this occurs at x =

Question Help ▼ In a survey of 1000 drivers from Region A, 864 wear a seat belt. In a survey of 1000 drivers from Region B, 915 wear a seat belt. At a=0.05, is there evidence to support the claim that the proportion of drivers who wear seat belts in Region A is less than the proportion of drivers who wear seat belts in Region B? Assume that the samples are random and independent. Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha- Identify the claim. Let population 1 be drivers from Region A and let population 2 be drivers from Region B. Choose the correct answer below. A. The claim is that the proportions of drivers who wear seat belts in both regions add up to 1. B. The claim is that the proportions of drivers who wear seat belts in both regions are equal. C. The claim is that the proportion of drivers who wear seat belts in Region A is less than the proportion of drivers who wear seat belts in Region B. D. The claim is that the proportion of drivers who wear seat belts in Region A is greater than the proportion of drivers who wear seat belts in Region B.

The volume of a cone is 800 cubic feet. If the radius of the base is doubled and the height remains the same, what will be the volume of the new cone? . 6,400 ft³ 1,200 ft 1,600 ft³ 3,200 ft³

Solve the following system of equations. 2x² + 4y² =68 3x² - 5y² = 3

Find the difference and enter it in the box below. Enter exponents using the caret (^). For example, write 4x² as 4x^2. (2x + 4x4-2x+3) - (4x4-2x³+3)

After being rearranged and simplified, which of the following equations could be solved using the quadratic formula? Check all that apply. A. 2x²-6x-7 = 2x² B. 5x³-3x+10= 2x² C. 2x²-3x+ 10 = 2x+ 21 D. 5x²+2x-4 = 2x²

At a time t seconds after it is thrown up in the air, a tomato is at a height (in meters) of f(t) = -4.9t² + 65t +1 m. A. What is the average velocity of the tomato during the first 5 seconds? (Include units.) B. Find (exactly) the instantaneous velocity of the tomato at t = 5. (Include units.) C. What is the acceleration at t = 5? (Include units.) D. How high does the tomato go? (Include units.) E. How long is the tomato in the air? (Include units.)

Identify the variable expression that is not a polynomial. A. x+12 B. x^-9 + y^3 C. 33 D. y^9+ 27

A directed line segment begins at F(-10, -2), ends at H(4, 4), and is divided in the ratio 4 to 2 by G. What are the coordinates of G? (-0.87, 2) (-1.6, 2) (3.3, 5) None of the other answers are correct (-0.67, 2)

Solve the following system of equations. 3x² + 3y² = 123 5x² - 4y² = -20 Solution(s): • Enter your answers as points: (x, y) • Because these systems are non-linear, you may have more than one solution. • If you have more than one solution, enter your answers as a list of points: (co, y0), (1.1) • Use 'sqrt(...)' to enter radical answers, do not use decimal approximations.

Which polynomial represents the sum below? 9x² + x + 2 + 3x^4+2x+2 A. 12x^6 + 9x+4 B. 3x^6 + 9x² + 3x+4 C. 3x^4 + 9x² + 3x+4 D. 3x^4 + 9x+4

Each letter of the alphabet is written on separate cards in red ink. The cards are placed in a container. Each letter of the alphabet is also written on separate cards in black ink. The cards are placed in the same container. What is the probability that a card randomly selected from the container has a letter written in black ink or the letter A or Z? 8/13 15/26 1/2 7/13

If a plane intersects a right cylinder, the cross-section is a circle. Which of the following describes a counterexample to this statement? A. If the plane is parallel to the bases, the cross-section is a circle. B. If the plane is perpendicular to the bases, the cross-section is a rectangle. C. If the plane is tangent to the bases, the cross-section is a line. D. None of these, the original statement is always true. (4 pts.)

This question does not have an attempt limit. This problem is worth 1 point. Your recorded score for this problem is 0.0%. Your submissions on this problem will be graded. Let f(x) = (3x - 2) (x²-2). Find all the values of x for which f'(x) = 0. Present your answer as a comma-separated list:

Enter the degree of the polynomial below: 6x6 +9x³+3x²-4x10-9x5-5x6

What is the coefficient of the term of degree 1 in the polynomial? 2x8-5x²+3x+4

Which of the following is a polynomial? A. (x6-2)/(x4 + 3) B. + x4 + 16 C. xy + 2 D. x²-1

Sodium chlorate crystals are easy to grow in the shape of a cube by allowing a solution of water and sodium chlorate to evaporate slowly. If V is the volume of such a cube with side length z, calculate dV/dz when x = 5 mm. dV/dz =

The mean age of the people in room 5 is 29 years. The mean age of the people in room 6 is 35 years. If there are 27 people in room 5 and 22 people in room 6, then what is the mean age of all the people in room 5 and room 6 put together? (nearest tenth). 30.7 31.7 29.6 32

In 2000, the population of St. Louis was 346,904, and it decreased to 319,257 in 2010. If this population decrease were modeled by an exponential decay function, what value would represent the y-intercept? Explain your reasoning.

Subtract the polynomials: (6x³ - 4x + 5)-(3x3-5x² + 6x-2). Enter your answer as a polynomial in descending order below, and use the caret (^) for exponents. For example, you would write 4x2 as 4x^2.

Select all of the transformations that always maintain a shape's congruency? * A reflection A dilation A reflection then a dilation A rotation then a translation A translation then a reflection

Dylan bought 3 identical shirts online for a total cost of $71.83 including a flat rate of $7.99 for shipping. Drag numbers to complete an equation to find the cost of each shirt, s. Each number may be used only once.

Which description represents this equation? 7x-2=33 Two times the quantity of seven less than a number equals thirty-three. Seven less than two times a number equals thirty-three. Two less than seven times a number equals thirty-three.

Change 749,921,154 to Roman numeral (Assume the Roman Numerals in blue have double bar over them and Roman Numerals in red have one bar over them) CDCXLVIII MXXI CCXXXIX DCCXLIX CMXXXI CCLIV DCXLVIII MCXXI CLIV DCCXLIX CMXXI CLIV

Nick and Miguel are the partners in a local health food store. They need $85,000 to start the business. They invested in the ratio 3:7, Nick and Miguel respectively. How much money did Nick invest? Just input the numbers in your answer. Do not insert a dollar sign.

If you flipped the graph of y=x²+2x-2 vertically, you would get the graph of y = -(x²+2x-2). A. True B. False

The senior class is planning to take two separate trips to Disneyland. On the first trip, the seniors had to rent 12 vans and 10 buses with 690 students. On the second trip, they only needed 7 vans and 10 buses as they only took 615 students. There was no difference in the size of the vans and no difference in the size of the buses. How many students went in each van? How many students went in each bus? Let x = Let y = Equation 1: Equation 2:

If a town with a population of 82000 people increases by 12% annually, what will the population be after 5 years? Round your answer to the nearest whole number.

The distance, d, in kilometres, a spaceship travels in t hours is given by the formula d = 40 000t. How long will it take the spaceship to travel 120 000 km? 3h 30 h 0.3 h 300 h

Which values are solutions to the inequality below? Check all that apply. x2≤36 A. 6 B. 7 C. 3 D. 36 E. 39 F. no solutions

The current student population of the Brentwood Student Center is 2,000. The enrollment at the center increases at a rate of 4% each year. To the nearest whole number, what will the student population be closest to in 3 years'? 1) 2,240 2) 2,250 3) 5,488 4) 6,240

What is the coefficient of the term of degree 7 in the polynomial? 4+ 6x^7 +10x-5x^6-2x^5