Basic Math Questions and Answers

Find the x- and y-intercepts. -8x-7y=56 Write each intercept as an ordered pair. If there is more than one intercept, use the "and" button. Select "None" if applicable.

If we draw the relative frequency histogram for x where: x = 5, 5, 3, 6, 6, 6, 9, 10 class start = 2.5 class width=2 what is the relative frequency of the class: 6.5 to 8.5 Give answer to nearest thousandth (3 decimal places).

Solve the following equation. |-2x| = |14| Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is. B. There is no real solution.

Identify the population and the sample: A survey is conducted to determine the opinion of Illinois residents about cell phones. From the 350 IL residents surveyed, 140 think law should prohibit the use of cell phones in public places. Population: [Select] Sample: [Select]

The sum of three numbers is 2. The first number minus the second plus the third is -2. The first minus the third is 2 more than the second. Find the numbers. What is the first number? What is the second number? What is the third number?

A basic cellular package costs $40/month for 60 minutes of calling with an additional charge of $0.20/minute beyond that time. The cost function C(x) for using z minutes would be • If you used 60 minutes or less, i.e. if if x ≤ 60, then C(z) = 40 (the base charge). • If you used more than 60 minutes, i.e. (z - 60) minutes more than the plan came with, you would pay an additional $0.20 for each of those (x - 60) minutes. Your total bill would be C(x) = 40 +0.20 (x- 60). If you want to keep your bill at $50 or lower for the month, what is the maximum number of calling minutes you can use?

Use shifts and scalings to graph the given function. Then check your work with a graphing utility. Be sure to identify an original function on which the shifts and scalings are performed. f(x) = (x+3)²-3 What is the original function? y = (Type an expression. Simplify your answer.)

Start with the parent function: f(x) = (x - h)² + k Choose your own horizontal shift: h = Choose your own vertical shift: k = Write the resulting vertex form of the function: Write the resulting standard form of the equation: Where is the vertex? Where is the y-intercept?

Two trains leave stations 252 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?

Find the inverse function and graph both f(x) and f(x) on the same set of axes. Check your work by looking for the required symmetry in the graphs. f(x) = 1-8x The inverse function is f¹(x) =

Solve using the elimination method. 3r-5s=-26 5r+ 3s = 36 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is r=- OB. There are infinitely many solutions. The solution set is {(r,s)|3r-5s = - 26}. C. There is no solution.

Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.

Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give the exact answer. Then, use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. B. There are infinitely many solutions. C. There is no solution. What is the decimal approximation for the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The solution set is A. The solution set is B. There are infinitely many solutions. C. There is no solution.

Solve the equation. 5x-3=2+3x The solution is x =

A college student takes the same number of credits each semester. Before beginning college, the student had some credits earned while in high school. After 3 semesters, the student had 41 credits, and after 6 semesters, the student had 68 credits. If C(t), is the number of credits after t semesters, write the equation that correctly models this situation. Provide your answer below: c(t)=

Use synthetic division to divide. 5- 4x + 3x²x3 / + 1

Solve the equation. 2x-(6x+6)=3x-34 Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is B. There is no solution.

Using the given equation, (a) find the intercepts of its graph and (b) graph the equation. -2x+4y=16 (a) What is the x-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The x-intercept is -8 (Type an integer.) B. There is no x-intercept. What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept is 4 (Type an integer.) B. There is no y-intercept

Tum-Tum has three times as much money as Binky. Po-Po has $150 more than Binky. If Tum-Tum doubled his money and both Binky and Po-Po earned another $200 each, they would have exactly enough to buy a pair of Saints season tickets which cost $2150. How much money do each of them have?

Solve the given equation for the variable. (Enter your answers as a comma-separated list.) 5³ - 3x

The volume of blood in a person's body is proportional to body weight. A person who weighs 160 pounds has approximately 5 quarts of blood. Estimate the number of quarts of blood in a person who weighs 90 pounds. Complete the proportion below, where the ratios are volume of blood to body weight. x/?= ?/?

You invested $23,000 in two accounts paying 3% and 6% annual interest, respectively. If the total interest earned for the year was $1230, how much was invested at each rate'? The amount invested at 3% is $ 5000 The amount invested at 6% is $

Suppose that a regression equation for the relationship between y = weight (pounds) and x = height (inches) for men aged 18 to 29 years old is expressed with the following formula. Average weight = -250 + 6(Height) (a) Estimate the average weight for men in this age group who are 70 inches tall. (b) What is the slope of the regression line for average weight and height? Complete a sentence that interprets this slope in terms of how much average weight changes when height is increased by one inch. Average weight increases pounds for each 1-inch increase in height.

At Bob's Beef-N-Cheese Bowl, regular cheeseburgers cost $2 each and large cheeseburgers cost $3 each. After a game, a hockey team buys 20 cheeseburgers at a total cost of $48. How many of each type of cheeseburger do they buy?

Plot the point. Then plot the point that is symmetric to it with respect to (a) the x-axis; (b) the y-axis; (c) the origin. (4,7)

A regression equation for x = handspan (cm) and y = height (in.) is expressed with the following formula. Average height = 51.1 +0.7 (Handspan) (a) Interpret the slope of 0.7 in terms of how height changes as handspan increases. For each one-centimeter increase in handspan, average height increases 1 inch. For each one-centimeter increase in handspan, average height increases 0.7 inches. For each one-centimeter increase in handspan, average height decreases 0.7 inches. For each one-centimeter increase in handspan, average height decreases 51.1 inches. For each one-centimeter increase in handspan, average height increases 51.1 inches. (b) What is the estimated average height of women with a handspan of 25 centimeters? (Round the answer to one decimal place.) in (c) Molly has a handspan of 25 centimeters and is 76.1 inches tall. What is the prediction error (residual) for Molly? (Round the answer to one decimal place.) in

Solve the following equation by completing the square. x² + 6x=7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. There is no solution.

Susan Marciano invested part of her $19,000 bonus in a fund that paid a 9% profit and invested the rest in stock that suffered a 4% loss. Find the amount of each investment if her overall net profit was $1,320. The amount invested at 9% is $ The amount invested in stock is $.

Find the absolute change and the relative change in the following case. The average sale of a house decreased from $329,000 in February 2008 to $184,000 in February 2013.- The absolute change is The relative change is %.

Find the real solutions of the equation. |2x+9|=9 Select the correct choice below and fill in any answer boxes within your choice. A. The solution set is. B. There is no real solution.

Solve the following inequality. Express the solution set in set-builder notation and interval notation. Graph the solution set. |2x-5| ≤15 Write the solution set in set-builder notation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is xxs B. The solution set is {x|sxs}. C. The solution set is {x|x is any real number). D. The solution set is {} or Ø.

Gracie went to Home Depot to buy wall-to-wall carpeting for her house. She needs 104.94 square yards for downstairs, 17.47 square yards for halls, and 172.59 square yards for the upstairs bedrooms. Gracie chose a shag carpet that costs $14.02 per square yard. She ordered foam padding at $2.82 per square yard. The installers quoted Gracie a labor cost of $5.82 per square yard in installation. What will the total job cost Gracie? (Do not round intermediate calculation. Round your answer to 2 decimal places.)

Choose an appropriate U.S. customary unit and metric unit to measure each item. (Select all that app Distance of a marathon 000 grams kilometers liters miles ounces quarts

A possible problem with open-ended or unequal intervals is that they a. do not permit the computation of midpoints b. are useful only for nominal-level variables c. can be used only with variables that have few scores d. cannot be used for interval-ratio level variables

Tricia, who is paid time-and-a-half for hours worked in excess of 40 hours, had gross weekly wages of $338 for 48 hours worked. What is her regular hourly rate?

Write an equation of the line that passes through (-5,1) and is parallel to the line defined by 2x+y=2. Write the answer in slope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot be written" button, if applicable.

Use the point-slope formula to write an equation of the line that passes through (-2,-5) and (5, 3). Write the answer in slope-intercept form (if possible).

Given the graph of y=x², how do you obtain the graph y = 5(x+3)² +6? Choose the correct answer below. A. Shift the graph to the right 3 units, then stretch the graph horizontally by a factor of 5. Then shift the graph up 6 units. B. Shift the graph to the right 3 units, then compress the graph vertically by a factor of 5. Then shift the graph down 6 units. C. Shift the graph to the left 3 units, then stretch the graph vertically by a factor of 5. Then shift the graph up 6 units. D. Shift the graph to the left 5 units, then compress the graph horizontally by a factor of 3. Then shift the graph up 6 units.

Elisa Carsten noticed this advertisement: "This week only: $187.50 on all mattress sets! All sets marked down 25%." What is the regular selling price of a mattress set?

Write the equation in its equivalent logarithmic form. 9^4 = 6561 What is the equivalent logarithmic form of the equation?

Find all excluded values for the expression. That is, find all values of u for which the expression is undefined. u-7/ u²+u-56 If there is more than one value, separate them with commas.

Write an equation of the line that passes through (3,2) and is perpendicular to the line defined by x-3y=3. Write the answer in slope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot be written" button, if applicable.

Steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a saving account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give is sister $65 that he owes her. Write an equation that describes this situation. For how many weeks will Steven need to deposit money into his saving account before he can pay back his sister and buy the bike?

According to the Consumer Expenditure Survey, the average American household spent $6,372 on food in 2009. About two-fifths of that amount was spent on eating out at restaurants Calculate two-fifths of $6,372 to estimate the amount that was spent on eating out. Round to the nearest dollar. Answer: $

During a 4-month period, Jennifer made deposits of $412, $763, $1264, and $556. She wrote checks totaling $1128. If her beginning balance was $910, what was the balance in her account at the end of the 4-month period?

The United Nations claims India will overtake China as the world's most populous country within seven years. If China has 2.126 billion people and India has 1.805 billion people, what is the difference in population?

The number of visits to public libraries increased from 1.2 billion in 1996 to 1.6 billion in 2000. Find the average rate of change in the number of public library visits from 1996 to 2000. The average rate of change between 1996 and 2000 was

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 53 kilograms. A delivery of 8 large boxes and 4 small boxes has a total weight of 133 kilograms. How much does each type of box weigh?

You are painting a room that is 14 feet long, 12 feet wide, and 8 feet high. On the walls of the room, there are two windows that are each 2 feet wide and 4 feet tall, and a door that is 4 feet wide and 7 feet tall. A gallon of paint covers 350 square feet. How many gallons of paint do you need to cover the 4 walls with one coat of paint, not including the windows and the door? (Round your answer up to the nearest whole number.)

2(x-3)=9-5(2x + 1) Select the correct choice below and, if necessary, fill in the answer box. A. The solution is B. The solution set is (-∞,∞). C. There is no solution.