Basic Math Questions and Answers

Describe the transformations taking place if we transform f(x) to f (x + 2) f(x) is shifted up 2 f(x) is shifted down 2 f(x) is shifted left 2 f(x) is shifted right 2

Write an equation of the line with the indicated slope and y-intercept. Slope = -7 y-intercept = 6 y=0 (Use integers or fractions for any numbers in the equation. Type your answer in slope-intercept form.)

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 enclose an area using a given length of fencing, then a circular fence encloses a larger area than a fence of any other shape. What is the radius r of the pen? Express your answer in meters to four significant figures.

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 is 19% alcohol and Solution B is 11% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 115 milliliters of pure alcohol?

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 = 21 Equation: = 21 X = RS= ST= b. Use the following information to write an equation in terms of x. Then solve the equation and find RS and ST. RS= 3x - 16, ST = 4x-8, RT = 60 Equation: = 60

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 be the 40% category. What will your final grade be if your homework average is 51, you quiz average is 73, and your test average is 93? Type your answer....

The temperature on Monday is -24°C. The temperature on Tuesday is -21°C. Circle the inequality that makes a correct comparison. Then write a sentence to tell what the inequality means in this situation. a. -24 < -21 b. -24 <1-21| |-24|<|-21| |-24|>|-21|

Trevor purchases a car. The value of the car is modeled by the function y= 22000(0.86). Which statement below best describes the value the base 0.86? The car that Trevor purchased appreciates at a rate of 14%. The car Trevor purchased depreciates at a rate of 14%. The car Trevor purchased depreciates at a rate of 86%. The car that Trevor purchased appreciates at a rate of 86%.

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-16t² describes the ball's height above the ground, h, in feet, t seconds after it was kicked. Use this formula to find the ball's height 3 seconds after it was kicked. The ball's height, 3 seconds after it was kicked, was feet.

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 way to estimate weight from the other, more easily determined quantities. Which of the following are quantitative variables for this study? Neck Size Length Bear Weight Sex

Evaluate the given algebraic expression for x = 7 and y = -2. |x | + lyl The answer is (Type an integer.)

10. Jerry is making baked garlic. The recipe calls for 5 large heads of garlic. However, Jerry has only small heads of garlic. If a large head of garlic has about 15 cloves, while a small head has about 7 cloves, how many small heads should he put in the roasting pan to end up with a similar number of garlic cloves? a. 3 garlic heads b. 75 garlic heads c. 20 garlic heads d. 11 garlic heads continued

Write the quadratic function in standard form. y = 2(x + 3)² + 2 (fill in the blanks with the correct coefficient. If the coefficient has a "minus sign" in front make the number negative that you enter. Do not enter a "+" for positive numbers.) y= x² + X +

Find the x- and y-intercepts of the graph of 2x – 10y = 36. State your answers as whole numbers or as improper fractions in simplest form. x-intercept: y-intercept:

Multiply and combine like terms to write as the sum or difference of monomials. a. 2a(5+ 4a) b.) x³(x+6) +9 C. (x-4)(x + 5) d. Produc (10w-1)(10w + 1) oble edt brs 2tinu x zi ensup2 19gisl adob el nolyot baberiz arito con or

The discriminant of a quadratic function is 5. What does this mean about the solutions? O2 real solutions 1 real solution, 1 imaginary solution O real solution, 2 imaginary solutions 1 real solution

Describe the transformation from f(x) to -3f (x + 1) - 3. Of(x) is reflected over the x axis, stretched vertically by a factor of 3, shifted left 1 and down 3. O f (x) is reflected over the y axis, stretched vertically by a factor of 3, shifted left 1 and down 3. O f (x) is reflected over the x axis, stretched vertically by a factor of 3, shifted right 1 and down 3. Of(x) is reflected over the y axis, stretched vertically by a factor of 3, shifted left 1 and up 3.

Write the quadratic function in standard form. y = −3(x − 3)² + 2 - (fill in the blanks with the correct coefficient. If the coefficient has a "minus sign" in front make the number negative that you enter. Do not enter a "+" for positive numbers.)

A convention to determine the best cookie is held with 100 voting members. Before the speeches, 4 people are going to vote for Oatmeal Raisin. After the speeches are given 6 people decide to vote for Oatmeal Raisin. The Oatmeal Raisin speaker claims to have a 50% increase in supporters. The Oreo speaker says that's a lie and that Oatmeal Raisin support has only risen 2%. Who is correct? a) How did th Oatmeal Raisin speaker arrive at his claim?

Select all of the numbers that are Integers. J 7/8 -99 1.33333... -8.6 7 √51 0 -8.517324924812...

Manually Graded Question: Make sure to answer all parts of the question and be as detailed as possible. Use correct vocabulary when necessary. Use the given information to decide which equation will be the easiest to use to find the indicated value. Find the value and explain your choice. The value of the 4th term is 80 The sequence is being doubled at each step Explicit equation: y = = 5 (2²) Recursive: now = previous term * 2 Find the 5th term. Explanation:

Solve 7x - xy = -18 for x. Ox X = O X = Ox= O x = -18+18 7 y - 18 7-y 18 7y 18 7+y

Match the function h with the transformation it represents, where c>0 h(x) = f(x) - c* (11 Points) a horizontal shift of f, c units to the right a vertical shift of f, c units down a horizontal shift of f, c units to the left a vertical shift of f, c units up

Which of the following is true for f? (3x + 1, if-9 < x≤-2 f(x)=-5, if-2 < x≤1 (x-6, if 1<x<7 A The domain is -9 < x < -2,-2 < x < 1, and 1<x< 7. B The range is (-26, 1). The function is decreasing over the interval (-2, 1). D The rate of change over the interval (-9, 1] is 3.

Solve the absolute value inequality and write the answer interval notation: 19x + 9 |≥ 54 29 0 (-∞, -7]U[²,00) 5 O [-10, -6] O (-∞, -7] U [5, ∞) O (-∞, 5] U [8, ∞)

Skill Practice 5 Solve the equations. a. 512-4t = 50 b. 5 = 6c 7 +9

Find the equation of a line that contains the point (2,7) and is perpendicular to the line x - 4y = 8 y = -4x + 15 y = - 4x -2 y = 4x+8 y = 1/4 x + 8 y = 1/4 x-2

Which equation represents a line that passes through the point (-2, 1) and has a slope of 2 in point slope form? Oy-2=(x-1) Oy-1 = ²(x-2) 3 y + 2 = ²(x - 1) Oy-1 = ²(x+2)

3. Shandra is on vacation and wants to buy souvenirs for at least eight friends. A postcard book costs $2.50 and a magnet costs $4.00. She can spend up to $30 altogether. Write a system of inequalities to represent the situation. Number of magnets 06 8 42 to 01 8 10 12 Number of postcard books X

Jed is standing 10 meters from a maple tree that is 14 meters from a willow tree, as shown in the figure below, in which the measure of an angle is given. Which of the following equations, when solved for x, gives the distance, x meters, between Jed and the villow tree?

Caleb earns points on his credit card that he can use towards future purchases. He earns four points per dollar spent on flights, two points per dollar spent at hotels, and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 more than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.

- The capture-recapture method is used to find the number of turtles in a small stream. Forty- two turtles are captured. Their shells are marked with green paint. Then the turtles are released back into the stream. Later in the summer, 56 turtles are captured. Of those captured, 7 had green paint on their shells.

Given the function f(x) = -2 log3 (x-1) + 4and the function g(x) = -log5 (x+13) — 1, what is the distance between the vertical asymptotes of the two graphs f(x) and g(x)? 14 units 12 units 5 units 13 units

Solve the absolute value equation: | 15 + 8x | +3 = 24

The function represents an inverse proportion. If for a set of points (,y) generated for this function, V( y-axis) was plotted versus r-axis), the resulting graph would give a straight line. The statement is true. The statement is false.

Which function below represents the inverse function of y =2³x-4? y¹ =1/3 log₂ (x+4) y-¹ =3 log₂ (x) + 4 y¹ = log₂ (3x + 4) y¹ =1/3 log₁ (2x)

A certain substance has a half-life of 2 minutes. A fresh sample of the substance weighing 60 mg was obtained. After how many minutes will there be 14 mg of the substance remaining? 4.6 minutes 8.4 minutes 2.5 minutes 4.2 minutes

Solve the compound inequality. 3x+1 <13 and 2x+4>-2 Graph the solution on the number line.

Find the slope and the y-intercept of the graph of the equation. y= x/7 + 3/7 Slope = (Type an integer or a fraction.) y-intercept = (Type an integer or a fraction.)

For the following description of data, identify the W's from what's given, name the variables, specify for each variable whether its use indicates that it should be treated as categorical or quantitative, and, for any quantitative variable, identify the units in which it was measured (or note that they were not provided). A polling organization conducted a poll of registered American voters in 2017 to gauge people's levels of concern about a variety of issues, including environmental issues. The data collected for each voter included his or her gender, age, race, education, and party affiliation, and whether he or she was "worried a great deal" about climate change, about air pollution, and about pollution of waterways. Identify the Who. O A. All registered American voters in 2017 who were "worried a great deal" about climate change, air pollution, and pollution of waterways B. All registered American voters in 2017 C. A group of registered American voters in 2017 D. A group of registered American voters in 2017 who were "worried a great deal" about climate change, air pollution, and pollution of waterways E. The Who for this situation cannot be determined from the given information.

Sophia, Malcolm, and Oren are playing a money game. Their bank balances are shown in the table. Complete the table by writing the absolute value of each bank balance to show how much each player owes. Who owes the greatest amount?

A couple has a credit card debt of $ 18,000.00. In your checking account, you have $ 2,000.00, and on a 401 (k), you have $ 6,000.00. The balance on your home mortgage of $ 180,000.00 is $ 120,000.00. His two cars are worth a total of $ 19,000.00, but the loan balances on them total $ 23,000.00. Find her net worth. Response option group 6:51 PM ✔

Writing your answer in simplest form, solve the Area of a Trapezoid formula for b₁ : A =1/2 (b₁ + b₂) h

The __ is used to determine whether the graph represents y as a function of x Select your answer horizontal line test greatest integer test relative maximum test vertical line test even/odd function test relative minimum test

For which point (x,y) is the slope of the line between (6,8) and (x,y) equal to the slope of the line between (6,8) and (-3,5). (Use the interactive figure to find your answer.) Click here to launch the interactive figure. Choose the correct answer below. A. (8,6) B. (11,15) C. (-2,2) D(15,11)

For a ride on a rental scooter, Pablo paid a $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for Pablo's ride was $13.12. For how many minutes did Pablo ride the scooter?

a-bed In order to solve the equation above for c, you must multiply both sides of the equation by the same expression: a * __= -bed x The resulting equation is:

Dot products: Find the indicated quantity, assuming that u = 2 i + j, v=i-3 j, and w = 4i-8 j. a. u.v b. v w C. W u d. u. (v + w) e. (u + v) (u-v) f. Are any of the vectors u, v, or w perpendicular to each other? Justify your reasoning.

Given the following equation, solve for x. 32x-333x+1 x=4 no solution x=-4 X-2

olve the compound inequality. Give the solution set in both interval and graph forms. x-2≤3 and x+1≥5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type your answer in interval notation.) B. The solution set is Ø.