Basic Math Questions and Answers

Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading coefficient. If the function is not a polynomial, state why. f(x) = 1,050 This is not a polynomial. Only vertical lines of the form x = b can be classified as a polynomial. This is a polynomial function of degree zero with a leading coefficient of 1,050. This is not a polynomial because there are no variables. This is not a polynomial. Horizontal lines can not be polynomials as there are no turning points.

The system shown has___solution(s). y = x + 1 2y - x = 6 infinite no one

Dan made a scale drawing of a summer camp. The scale of the drawing was 5 centimeters: 3 meters. The sand volleyball court is 9 meters wide in real life. How wide is the volleyball court in the drawing? centimeters

Solve for L. P= 2L+ 2W L= 2/(P-W) L=2(W - 2P) L(P-2W)/2

Laura measured a picnic area near the river and made a scale drawing. The scale she used was 3 inches : 2 yards. If the picnic area is 90 inches wide in the drawing, how wide is the actual picnic area? ___yards

Convert the equation f(t) = 186(1.12)^t to the form f(t)=ae^kt a= k= Give values accurate to three decimal places

Find the distance in kilometers between the following pair of cities, assuming they lie on the same north-south line. The radius of the Earth is approximately 6400 km. City A, 12° N, and City B, 12° S The cities are approximately km apart. (Round to the nearest integer as needed.)

A 180-ft redwood tree casts a shadow. Express the length x of the shadow as a function of the angle of elevation of the sun θ. Then find x when θ=40° and θ=75° Express x as a function of θ x= (Simplify your answer.)

Using the data given below, determine whether it would unusual for a household to have no HD televisions. The number of televisions (HD) per household in a small town Televisions 0 1 2 3 Households 52 460 668 1420 P(x) 0.020 0.177 0.257 0.546 Choose the correct answer below. A. It would not be unusual because the probability of having no HD televisions is more than 0.05. B. It would not be unusual because 52 people have no HD televisions in the town. C. It would be unusual because 52 people have no HD televisions in the town. D. It would be unusual because the probability of having no HD televisions is less than 0.05.

Solve the equation. √15x+18 = 5x 6/5 ,-3/5 6/5 -3/5 -6/5

The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 30 miles per hour, how long will it take to drive the same distance at 35 miles per hour? about 2.33 hours about 1.71 hours 60 hours 525 hours

2. Which of the following could be represented by a periodic function? Explain your answer. a. the average monthly temperature in your community, recorded every month for three years b. the population in your community, recorded every year for the last 50 years c. the number of cars per hour that pass through an intersection near where you live, recorded for two consecutive school days

Which equation represents y = -x² + 4x - 1 in vertex form? y = -(x + 2)² - 3 y = -(x - 2)² +3 y = -(x - 2)² + 5 y = -(x + 2)² - 1

The cost to remove a toxin from a lake is modeled by the function C(p) = 75p/85-p where C is the cost (in thousands of dollars) and p is the amount of toxin in a small lake (measured in parts per billion [ppb]). This model is valid only when the amount of toxin is less than 85 ppb. a. Find the cost in dollars to remove 45 ppb of the toxin from the lake. (round to the nearest whole dollar) C=S b. Find the formula for the inverse function. p=f¹(C)= c. Use part b. to determine how much toxin is removed for $60,000. ppb (round to 2 decimal places)

Why was Carnegie Steel considered a vertical monopoly? The company controlled every step of steel production, from raw materials to distribution. The company controlled all the steel plants in the country. The company became the only source of steel after competitors went out of business. The company was able to produce more steel than any other steel company in the world.

Which of the following is a geometric sequence? Enter a, b, c, d, or e. a. 4, 12, 36, 108, 324, b. 2, 4, 16, 256, 65536, ... c. 4, 17, 30, 43, 56, ... d. 3, 7, 11, 15, 19, .. e. 1, 2, 4, 10, 12, ...

The following data shows the weight loss (in pounds) of a sample of five members in a health club at the end of two months of membership. 10 5 19 8 3 Find the median.

Directions Substitute Equation 1 into Equation 2. Find the value for x, then find the value for y and input your answers in the boxes below. Equation 1: y = 2x Equation 2: x+y=6

A ball is kicked into the air. It follows a path given by h(t) = -4.9t² +8t+ 0.4, where t is the time, in seconds, and h(t) is the height, in meters. a) Determine the maximum height of the ball to the nearest tenth of a meter. b) When does the ball reach its maximum height?

Solve the following equation. 3/x+1/x-3=18/ x²-2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The solution set is {x|x is a real number and x ≠ (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) C. There is no solution.

Write an equation that expresses the following relationship: x varies jointly as y and a and inversely as the square root of m. Then solve the equation for y. Write an equation that expresses the given relationship. Use k as the constant of variation. x=

Find the absolute change and the percentage change in the following case. The number of daily news paper in a country was 2063 in 1900 and 1312 in 2010. The absolute change is (Simplify your answer. Type an integer or a decimal.)

Last year, Pinwheel Industries introduced a new toy. It cost $7900 to develop the toy and $25 to manufacture each toy. Fill in the blanks below as appropriate. A.) Give a linear equation in the form C (n) =mn+b gives the total cost, C to produce, n of those toys. C (n) = B.) The total cost to produce n = 4300 toys is $ C.) With $81650, a total of A toys can be produced.

What is the best way to manage adversity in the workplace? A) Look for the root cause of the problem. B) Brainstorm ways the problem can be overcome. C) Consider the causes and effects of the problem. D) View the problem as an opportunity to make changes.

To cut costs, the Rose City school board has decided to eliminate art and music courses. Isabella's daughter plans to go to art school after high school and needs access to art courses. Which action shows that Isabella understands the importance of root cause analysis when wanting to effect change? A) She meets with the school principal to express her concerns about the decision. B) She makes a list of why the school board may have decided to drop art and music classes. C) She asks teachers, students, and parents to sign a petition in favor of keeping art and music classes. D) She uses social media to boycott the school if the school board does not change its decision.

To produce the graph of the function Y=0.5cot(0.5x), what transformations should be applied to the graph of the parent function Y = cot(x)? a horizontal compression to produce a period of π/2 and a vertical compression a horizontal compression to produce a period of π/2 and a vertical stretch a horizontal stretch to produce a period of 2π and a vertical compression a horizontal stretch to produce a period of 2π and a vertical stretch

Megan runs a bakery. The amount of profit, in dollars, she makes on every cake she sells is equal to the function f(M), where f(M)= 5.50N, and Nrepresents the number of cakes she sells. Determine whether each descretion shown in the table below represents the relationship between f(M) and Nfor the description given. Select Yes or No to indicate for each description. Description If Megan sells 22 cakes, then f(22) = 121 If Megan sells 10 cakes, then f(55) = 10 If Megan sells 2 cakes, then f(2)= 11

Directions Complete the activity to continue Read the instructions for this self-checked activity. Type in your response to each question, and check your answers. At the end of the activity, write a brief evaluation of your work. Activity In this activity, you will solve quadratic equations using different methods. Make sure to use the method that you are asked for in each part.

Which statement shows reasoning that is based on assumption, not fact? A) Kim does not like doing data entry, and neither do I. B) Many of my friends like to drink iced tea in the summer, so I will buy some for the party. C) All project managers have college degrees. Sonya is a project manager, so she has a college degree. D) I always round the numbers when making a budget, so everyone must round numbers to make a budget.

A card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 2 kings are drawn. If E is the event in which a king is drawn in the 13 trials, find the experimental probability P(E).

How does the graph of g(x) = 3x - 2 compare to the graph of f(x) = 3x? The graph of g(x) is a translation of f(x) 2 units left. The graph of g(x) is a translation of f(x) 2 units right. The graph of g(x) is a translation of f(x) 2 units up. The graph of g(x) is a translation of f(x) 2 units down.

Type your response in the box. Find the solutions to this system of equations algebraically. y = x² - 4x + 2 y = 5x - 12

There are eight online songs that you would like to download, but you only have enough. money for three. How many different groups of songs can you buy?

Which statement is true about adaptable workers? A) They adjust to changes in the workplace easily. B) They know ways to manage stressful situations. C) They apply the cycle of inquiry to solve problems. D) They make decisions with logic and reason.

2. The directed line segment ST has endpoints S(-3, -2) and T(4, 5). Point P lies on the directed line segment ST and the ratio of SP to PT is 3 to 4. What are the coordinates of point P? (F) (0, 1) (H) (7,8) (G) (2 1/4, 3 1/4) (J) (9 1/4 , 10 1/4)

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

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

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)

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?

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

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.