Basic Math question and answers for May 29, 2024
- Q Find the following for the given functions.f(x) = x, g(x) = 4x - 3(a) (f+g)(x) =(b) (f- g)(x) =(c) (fg)(x) =(d) (f/g)(x)What is the domain of f/g? (Enter your answer...
- Q Complete the sentence below.The distance d between two points P? = (x?.y?) and P? = (x?,Y?) is d=The distance d between two points P? = (x?,Y?) and P? = (x?,Y?)...
- Q At one university, the mean distance commuted to campus by students is 17.0 miles, with a standard deviation of 4.2 miles. Suppose that the commute distances are normally distributed. Complete...
- Q If the height of this box was 10in, how man 2in cubes could fit inside this box? If the volume of this box was 750in, what would the value of...
- Q Marissa and Tori can shovel a driveway together in 22 min. If Marissa can shovel the same driveway in 70 minutes by herself, how long would it take Tori by...
- Q The figure shows a coordinate plane on a baseball field. The distance from home plate to first base is 90 feet. The pitching mound is the midpoint between home plate...
- Q Solve the following system of equations. State whether the system is consistent and independent, consistent and dependent, or inconsistent.-4x + 7y= 284x - 7y=32consistent and independentconsistent and dependentinconsistent
- Q Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer she would pay $2,450 down and $150 each month. At another...
- Q Un Monday, the rover traveled 330 cm. On Tuesday, it traveled 180 cm. If the rover stopped every 15 cm to recharge, how many more times did it need to...
- Q Write an equation and solve it. Kira had already read 13 books this year before joining a book club, and she planned to read 1 book every month. If Kira...
- Q Use the given sample data to find Q3.49 52 52 52 74 67 55 55A. 6.0B. 67.0C. 61.0D. 55.0
- Q If -3 and 5 are the coordinates of two points on the real number line, the distance between these points is _____
- Q Write an equation and solve. Mr. Hewitt estimates the cost towards a fresh paint job for the exteriors of his home. He quotes 12 gallons of paint priced at x...
- Q Write the quadratic function in vertex form that has a vertex of (2, 0) and goes through the point (3, 1)
- Q Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are...
- Q In the 1970s, due to world events, there was a gasoline shortage in the United States. There were often long lines of cars waiting at gas stations. If there were...
- Q You have a $50 gift certificate at a store. You want to buy a book that costs $8.99 and boxes of stationery for your friends. Each box costs $4.59. How...
- Q Miguel needs to have a toilet repaired in his house. The cost of the new plumbing fixtures is $150 and the labor is $40/hr.(a) Write a model that represents the...
- Q Given that f(x) = 2^x- 1and g(x) = log3(x + 5)determine the x value(s) where f(x)=g(x).x=0.004 or x = 2.794x= -4.652 or x = 1.43x = -3.744 or r =...
- Q Evaluate each logarithm and then use order of operations to simplify4 (3-log? (8) +2. In e) + log3 1/942345455.744
- Q John's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs John $4.35 per pound, and type B coffee costs $5.40 per...
- Q Rewrite logx, 2y = 3 in exponential form.(2y) = x3 = 2y3x = 2yy = x
- Q Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you $1 for selling the first subscription. For each. additional subscription sold, the...
- Q Your neighbors are purchasing hot dogs for a backyard barbecue. They are expecting 48 guests and want to provide an average of 2 hot dogs per guest. The hot dogs...
- Q Solve the absolute value equation:9 - 6x | +2 = 23{-2, 5}{-4}{22/9, -32/9}{-4, 1}
- Q 8. A motorcycle accelerates from rest along a straight road with position function s(t) = t + t, where s(t) is measured in meters and t is measured in seconds.a)...
- Q Evaluate the function f(x) = 9x-3 at the given values of the independent variable and simplify.a. f(9)b. f(x+8)c. f(-x)
- Q Solve the absolute value equation:|-3x + 9| = 15{-8, 54/5}{3, -6} {-2, 8}{7, -12}
- Q Diane invested her savings in two investment funds. The $3000 that she invested in Fund A returned a 3% profit. The amount that she invested in Fund B returned a...
- Q Set up the problem below and calculate the number of days that are equivalent to exactly 21600 minutes. Place your conversion factors in order such that "minutes" cancels first.21600 minutes
- Q Solve the system by substitution.-9y+ 2 = x-x-3y = -8
- Q Write an algebraic equation for the following problem and then solve it.A landscaping company needs 180 gallons of 24% fertilizer to fertilize the shrubs in an office park. They have...
- Q The patient's chart indicates that he weighed 175 pounds at the end of September. He then gained 2 pounds in October and lost 3/4 pound in November. He weighed at...
- Q Solve for u. -1/ u+5=- 7 /3u+15 - 1 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".
- Q Consider just the first sentence of this multistep word problem.Sentence 1: The sum of the ages of a brother and sister is 26.Give an equation that represents this statement using...
- Q y = f(3x)Shift the graph 3 units upward.Stretch the graph horizontally and vertically by a factor of 3.Shift the graph 3 units to the left.Stretch the graph vertically by a...
- Q Greg invested his savings in two investment funds. The amount he invested in Fund A was 4 times as much as the amount he invested in Fund B. Fund A...
- Q The angle of depression from the top of a building to a point on the ground is 45 degrees. How far is the point on the ground from the top...
- Q Find the length of each side of the triangle determined by the three points P?, P2, and P3. State whether the triangle is an isosceles triangle, a right triangle, neither...
- Q Write the quadratic in vertex form(fill in the "a", "h", and "k" values)y = x - 2x + 3y =
- Q Write an equivalent expression by distributing the "-" sign outside the parentheses:-(-3k-4.7)
- Q A company produces two products, A and B. The sales volume for A is at least 80% of the total sales of both A and B. However, the company cannot...
- Q A football is kicked vertically upward from a height of 5 feet with an initial speed of 75 feet per second. The formula h=5+75t-161 describes the ball's height above the...
- Q Finalgrades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a33% -67% split on grades between tests and...
- Q Evaluate the function f(x)=x + 4x+6 at the given values of the independent variable and simplify.a. f(-6) b. f(x+3)c. f(-x)
- Q Write the quadratic function in standard form.y = 3(x - 2) +1(fill in the blanks with the correct coefficient. If the coefficient has a "minus sign" in front make thenumber...
- Q Solve the system by substitution.y = -10x +92x 10y = 12
- Q Philip made a total of 9 bracelets and necklaces from 120 inches of cord. He used 8 inches of cord for each bracelet and 20 inches of cord for each...
- Q Find all numbers for which the rational expression is undefined. If the rational expression is defined for all real numbers, state this.y+2/y-4Type the values for which the rational expression is...
- Q You are looking at your power bill for the month, you pay 13 cents per kilowatt-hour. Your power bill came out to $97.66 how many KWH of energy were used...
- Q Yoko borrowed a total of $19,000 from two different banks to start a business. One bank charged the equivalent of 4% simple interest, and the other charged 2.5% interest. If...
- Q Solve for all values of x by factoring.x - 5x -56 = -2x - 2
- Q Last year, Melissa invested her money in two purchases. She purchased a certificate of deposit for $1000 that paid 2% interest per year and purchased $3000in corporate bonds paying 7%...
- Q a) What is the average velocity of the hammer between 2 and 6 seconds?b) What is the instantaneous velocity of the hammer at 5 seconds?c) After how many seconds will...
- Q Evaluate logs 27Recall the first step to evaluate a logarithm is to rewrite the logarithm into anexponential. Remember what type of exponent can get values close to 0.
- Q Using the Pythagorean Theorem (a + b = c), find the altitude of a rightsquare pyramid that has a square base that has a side length of 25.7 cm and...
- Q Solve for all values of x by factoring.x - 36 = 0
- Q The half-life of an over the counter pain medication is 2 hours. If the initial amount ofpain medicine is 200mg how much of the pain medicine would remain in your...
- Q A geometric sequence h starts with 10, 5,... Explain how you would calculate thevalue of the 100th term.
- Q Which function below represents the inverse function ofy = 2ln(3x + 2) - 4?y = 100.5-2 +1y = (e-2)y- = e+2y=+2-2Keep in mind that a natural logarithm has base e...
- Q For each equation, choose the statement that describes its solution.If applicable, give the solution.4(v + 1) - v = 3(v ? 1) + 3No solution v = 0 All real...
- Q y = 3f (-1-x)3Stretch the graph horizontally by a factor of 3. Stretch the graph horizontally and vertically by a factor of 3.Stretch the graph vertically by a factor of...
- Q Suppose that you have a piece of string 6 cm long. If one end is held fixed and you draw with a pen at the other end, keeping the string...
- Q The United States did not experience a major unemployment problem amongveterans following World War II, as it had after World War I. Which of thefollowing provides one major cause behind...
- Q Ty decided to invest $600 in an account and was able to take out $670 from the account after 8 years. The interest in the account was compounded continuously. What...
- Q Describe the transformations taking place ifwe transform f(x) to f (x + 2)f(x) is shifted up 2f(x) is shifted down 2f(x) is shifted left 2f(x) is shifted right 2
- Q Write an equation of the line with the indicated slope and y-intercept.Slope = -7y-intercept = 6y=0(Use integers or fractions for any numbers in the equation. Type your answer in slope-intercept...
- Q Suppose that you needed to make a pen for some small animals. You have 13 m of fencing. You decide to make a circular pen, because if you wish to...
- Q In the lab, Eric has two solutions that contain alcohol and is mixing them with each other. He uses 500 milliliters less of Solution A than Solution B. Solution A...
- Q a. Use the following information to write an equation in terms of x. Then solve the equation, and find RS and ST.RS= 2x+10, ST=x-4, RT = 21Equation: = 21X =RS=...
- Q Your college professor tells you he will give a 30% -30% -40% split on grades between homework, quizzes, and test. However whichever category you have the highest average in will...
- Q The temperature on Monday is -24C. The temperature on Tuesday is -21C.Circle the inequality that makes a correct comparison. Then write a sentence totell what the inequality means in this...
- Q A football is kicked vertically upward from a height of 6 feet with an initial speed of 55 feet per second. The formula h = 6 + 55t-16t describes the...
- Q Trevor purchases a car. The value of the car is modeled by the functiony= 22000(0.86). Which statement below best describes the value the base 0.86?The car that Trevor purchased appreciates...
- Q Because of the difficulty of weighing a bear in the woods, researchers caught and measured 54 bears, recording their weight, neck size, length, and sex. They hoped to find a...
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