Math Questions

Select all the correct answers. Solve this system of equations. Select any coordinate pairs that are solutions to the system. y = x² + 1 y-2x = 4 (-3,10) (1,2) (-2,5) (4,17)

Given the function P(x) = ( − 8x – 14)^12 ( − 11x+ 9)^9 its zeros are and their multipicities are

As part of a quality-control program, 3 light bulbs from each batch of 100 are tested. In how many ways can this test batch be chosen? Note: nCr =n!/ r!n-r)!

Which expression is equivalent to cos120°? cos 60° cos240° cos300° cos420°

Find the variation constant and an equation of variation if y varies directly as x and the following conditions apply. y = 20 when x =1/2

a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy and use the slant asymptote to graph the rational function. f(x)=x^2-49/x a. Select the correct choice below and, if necessary, fill in the answer box to complete the choice. A. The equation of the slant asymptote is (Type an equation.) B. There is no slant asymptote. b. To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below. y-axis symmetry origin symmetry neither y-axis symmetry nor origin symmetry What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete the choice. A. The y-intercept is. (Type an integer or a simplified fraction.) B. There is no y-intercept. What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The x-intercept(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers if needed.) B. There are no x-intercepts.

The polynomial of degree 5, P(z) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and x= 0, and a root of multiplicity 1 at x = -5 Find a possible formula for P(x).

What are the domain and range of f(x) = 2(3^x)? domain: (-∝.∝): range: (0.∝) domain: (-∝.∝), range: (2,∝) domain: (0,∝), range(-∝,∝) domain: (2.∝), range: (-∝,∝)

Which expression is equivalent to the following complex fraction? (1+1/y)/(1-1/y) (y+1)(y-1)/y^2 (y+1)/(y-1) (y-1)/(y+1) y^2 /(y+1)(y-1)

Which of the following probabilities is the greatest for a standard normal distribution? P(-1.55zs-0.5) P(-0.6sz≤0.5) P(05sz≤15) P(1.5sz≤2.5)

Find the vertical asymptotes, if any, and the value of x corresponding to holes, if any, of the graph of the following rational function. f(x) = x² - 144/x-12

Billy is monitoring the exponential decay of a radioactive compound. He has a sample of the compound in a test tube in his lab. According to his calculations, the sample is decaying at a rate of 35% per hour. There are at least 72 grams of the sample remaining. Once the sample reaches a mass of 15 grams, Billy will continually add more of the compound to keep the sample size at a minimum of 15 grams. If R represents the actual amount of the sample remaining, in grams, and t represents the time in hours, then which of the following systems of inequalities can be used to determine the possible mass of the radioactive sample over time?

You have $10 in you bank account in Month 1. It doubles every month. How much money will you have in the 6 month? A $320 B $250 C $50 D $35

Which step is included in the graph of the function fix)-[x-1]? y=-5 for-4≤x<-3 y=-2 for-2≤x<-1 y=-2 for -2<x≤-1 y= -5 for -4<x≤-3

The water temperature of the ocean varies inversely as the water's depth. At a depth of 1000 meters, the water temperature is 4.4° Celsius. What is the water temperature at a depth of 4000 meters?

Use the procedure for solving variation problems to solve the exercise. y varies jointly as a and b and inversely as the square root of c. y = 15 when a = 5, b=3, and c= 25. Find y when a = 6, b=5, and c = 16. Find y when a = 6, b=5, and c = 16.

A gardener has 1080 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. What dimensions would guarantee that the garden has the greatest possible area?

Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data. 13, 17, 9, 21 What is the standard deviation for the data? 0 4.4 5.2 26.7

Find the equation for the following parabola. Vertex (2, -1) Focus (2, 3) A. (x-2)² = (y+1) B. (x-2)² =16(y+1)² C. (x-2)² = 4(y+1) D. (x-2)² 16(y+1)

The Monte Carlo fallacy would most likely lead you to: A) Make the wrong decision based on faulty reasoning B) Make the right decision based on strong data C) Make the right decision based on illogical reasoning D) Make the wrong decision based on an obvious mistake

The amount of a sample remaining after t days is given by the equation P(t) = A 112 1.5 days 2.5 days 9.4 days 21.1 days ³. where A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18% of its original amount of Radon- 222. The half-life of Radon-222 is about 3.8 days. Which is the best estimate for the age of the sample?

Solve the system of equations by the addition method. 5x - y = 15 3x + y = 17 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions. C. There is no solution.

What is this decimal rounded to the nearest hundredth? 5 = 5 ÷ 9 = 0.555555555555... 0.5 0.56

What is the vertex of this quadratic function? y = -3(x - 5)² +8

Read the passage below and choose then choose the best answer to the question. Answer the question on the basis of what is stated or implied in these passages. In most cases little birds lay little eggs. The kiwi is an astonishing exception to this ruleóit is a smallish bird that lays a big egg. The kiwi, a flightless bird found in New Zealand, weighs about four pounds, and its egg weighs, believe it or not, about one pound. That is one-fourth of the birdís body weight! If an ostrich laid an egg that was in the same proportion to the ostrich as the kiwi egg is to the kiwi, an ostrich egg would weigh a whopping seventy-five pounds instead of the usual three pounds. Which statement below best describes the organizational method used in this passage? description comparison/contrast chronological cause & effect

Which measure is of an angle that is coterminal with a 425° angle? 425-(1,000n), for any integer n 425° -(840n), for any integer n 425+ (960n), for any integer n 425+ (1,440n), for any integer n

The numbers 1-10 are written on pieces of paper and put into a hat. What is the probability of drawing an even number, and then another even number, without replacing the first number?

In how many ways can a password be made using 4 letters from the 26 letter English alphabet, if letters cannot be repeated? [?] ways Note: nPr = n! / (n-r)!

Given the function f(x) = 3|x − 2| +6, for what values of x is f(x) = 18? x= -2, x= -8 x= -2, x=-6 x= -2, x=6 x= -2, x=8

P varies directly with the square of R. When R is 4, P is 56. Find the value of P when R is 6.

Abbey gets paid a flat rate of $10.00 to mow her neighbor's lawn plus an additional $5 per hour to rake the leaves. The money she earns is represented by the equation m = 5h + 10, where m represents the amount of money she earns, in dollars, and h is the number of hours she rakes leaves for Which of the following equations can be used to find h, the number of hours she rakes leaves for?

Read the sentence. My sister is quite the chef; she often creates her own meals and recipes that include different vegetables and spices. Why does the author most likely use the word chef instead of the word cook? to show how often she prepares meals to emphasize how creative her meals are to create a negative view of her recipes to highlight the number of ingredients in her recipes

Find the equation of the tangent line to the curve (a lemniscate) 2 (z² + y²)² = 25 (x² - y²) at the point (3, 1). The equation of this tangent line can be written in the form y = mx + b where m is: and where b is:

The height y (in feet) of a ball thrown by a child is y = -1/14x² + 4x + 3 where is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child's hand? 3 (b) What is the maximum height of the ball? 59 (c) How far from the child does the ball strike the ground? 57.48

If the length of a sea turtle is directly proportional to its age, and a 2-year old sea turtle is 3 inches long, how many feet long is a 50-year old sea turtle? [?] feet Give your answer as a decimal. Do not round.

If you want to write a paragraph describing how to change a flat tire on a car, which pattern would you be most likely to use? definition problem/solution process comparison and contrast

Which of the following is the inverse of y=12x? y = log1/12 x y = log12 1/x y=logx12 y = log12X

In how many ways can a person read 3 different books from a collection of 7 books during a one week vacation?

Find an nth degree polynomial function with real coefficients satisfying the given conditions. n=3; 2 and 3 + 2i are zeros: leading coefficient is 1 A. f(x)= x³ + 5x² + 25x - 14 B. f(x) = x³ - 8x² + 25x - 26 C. f(x)=x² - 4x² + 25x - 26 D. f(x)=x³8x² + 15x-26

At a school there are 10 students taking only Chemistry, 9 students taking only Physics, 5 students taking both, and 16 students not taking either. If a student is randomly selected from the school, what is the probability that they are taking Chemistry or Physics?

How can we change this fraction into a decimal? 5/9 Divide the Denominator by the Numerator, 9/5 = 1.8 Divide the Numerator by the Denominator, 5÷9 = 0.5555555555555555555555555...

At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)

Which pattern of organization is being used in this passage? For at least 4,000 years, the wind has been used as an energy source. Unlike fossil fuel energy (such as diesel oil or gasoline), wind energy is unlimited. Another difference is that wind energy produces no pollution when it is used to create electricity. Large windmills or wind turbines capture the wind; the energy from the turning blades produces electricity. Another distinction is that wind is the fastest growing energy source in the world. comparison and contrast cause and effect topical/listing definition

One solution of the quadratic function f ls-5-7i. Which statement is true about this function? Another solution of function f is 5 + 7i. Another solution of function is 5 - 7i Function f has no other solutions. Another solution of function f is -5 + 7i.

An arithmetic sequence is given below. -8,-6,-4, -2,0 -8 is the first number in the sequence and n represents the term number. This sequence can be written as an = 2n + m In this sequence, Enter the value of m.

How many different four-letter permutations can be formed using four letters out of the first twelve in the alphabet?

If P = (6, 5) and Q = (2, 1) are the endpoints of the diameter of a circle, find the equation of the circle.

Solve for h. r = 5h+5v

The function graphed to the right is of the form y = c + cos x, y = c + sinx, y = cos (x-d), or y = sin (x-d), where d is the least possible positive value. Determine the equation of the graph.

This probability distribution shows the typical distribution of the number of shoes in a teenager's closet. Using this distribution, find the probability that a teenager has 4 or more pairs of shoes in their closet.