Math Questions

In 2000, 49% of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.1% per year since then. Find a linear function in slope-intercept form that models this description. The function should model the percentage of residents,

Any line with an undefined slope is parallel to the line y = x y-axis x-axis

Arc length = 2.84, Angle = 50°, Diameter = ? 2.55 Mr. Epsilon was swimming in the pool. 3.25 The victim was not attacked by a couga 3.5 Dr. Alpha was sweating in the atrium. 6.5 There was no venomous bite involved. Stretch the Y

Jay and Kevin are shoveling the snow off a driveway. Working together, they can clear the driveway of snow in 14 minutes. Working alone, it would take Kevin 21 minutes longer to clear the driveway of snow than it would take Jay working alone. When jis the number of minutes it would take Jay to clear the driveway of snow when working alone, the situation is modeled by this rational equation: How long would it take Jay to clear the driveway of snow working alone? 7 minutes 21 minutes 35 minutes 42 minutes

What is the common ratio of the following sequence? -5, -20, -80, ... 04 04 -4

Solve the following quadratic equation using factoring: 7x² - 10x + 3 = 0 x = 3/7/or x = 1 x = -3/7/or x = -1 x = -3/7/or x = 1 x = 3/7/or x = -1

Arc length = 9.72, Angle = 116°, Radius = ?

At a particular college, 90% of the undergraduates are female. If 2970 women attend the college, how many total undergraduates attend the college?

A circle has all three types of symmetry. True False

Find all the roots and check your answers. x³ +10x²+21x=0

How many times does the graph of the function below intersect or touch the x-axis? y=-2x² + 3x + 5 A. 1 B. 3 C. 0 D. 2

Given the points A(0, 0), B(e, f), C(0, e) and D(f, 0), determine if line segments AB and CD are parallel, perpendicular or neither. parallel neither perpendicular

Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.

In which direction does the left side of the graph of this function point? f(x) = 3x³ - x² + 4x − 2

The zebra mussel, Dreissena polymorpha, filters particulate organic carbon (POC) from water as part of its feeding pattern. The concentration, c, of POC (in milligrams per liter) remaining in a particular bay m months after the introduction of a population of zebra mussels can be estimated using the following equation. c = 0.4.0.9m According to this estimate, how many milligrams per liter of POC were in the bay when the zebra mussels were first introduced?

Martha manages a home Improvement store and uses this function to model the number of customers that visit the store each hour on Saturday afternoon. n(t) = -2.82t2 + 25.74t + 60.87 Which graph would most likely be associated with this model?

The point (-2, 5) is located in quadrant IV I II III

Factor, if possible. 9x² +24x+16 Select the correct choice below and fill in any answer boxes within your choice. A. 9x² +24x+16= (Type your answer in factored form. Factor completely.) B. The polynomial is prime.

During their freshman year, Derek's GPA was 3.4 and Terry's was 3.0. During their sophomore year, Derek's GPA was 3.7 and Terry's was 3.6. Which of the following is not necessarily true? Choose the correct answer below. A. Terry's overall GPA for the two-year period could be lower, higher or the same as Derek's overall GPA for the two-year period. B. Terry's overall GPA for the two year-period was somewhere between 3.0 and C. Derek had a higher GPA than Terry during their freshman year and again during their sophomore year. D. Derek's overall GPA for the two-year period was higher than Terry's because their GPA's may have been weighted differently. E. Terry had a lower GPA than Derek during their freshman year and again in their sophomore year. F. Derek's overall GPA for the two year-period was somewhere between 3.4 and 3.7.

The image is the result of an isometric transformation of its pre-image because AB= A'B' =√10 AC = A'C' = 2√2 BC = B'C' =√10 a reflection has occurred a rotation has occurred the two triangles are congruent a dilation has occurred

A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is placed on a table in a room where the temperature is 75° Fahrenheit. Provide your answers accurate to at least 2 decimal places. (a) If the temperature of the turkey is 145° Fahrenheit after half an hour, what is its temperature after 45 minutes? Fahrenheit (b) When will the turkey cool to 100° Fahrenheit?

Find the area of a regular hexagon with a side length of 4 cm and an apothem of approximately 3.5 cm. Area ≈ [?] cm²

Solve the formula Ax+By = C for A. A. A = C-By/x B. A=C/X+By C. A = C+By/x D. A = C- By/x

A chemistry lab requires students to identify chemical compounds by using various tests. Each student is given samples of three different compounds, labeled A, B, and C. Each student is also given a list of six possible compounds. If a student does not perform the tests and randomly chooses three from the list, what is the probability that he guesses all three correctly?

Factor. 6x2-x-12

Which of the following equations demonstrate that the set of polynomials is not closed under the certain operations? A. Multiplication: (x² - 5x+3)(x - 5) = x² - 10x² +28x-15 B. Division: (x²+x)+(x+1)=x C. Division: (x² - 5x+3)+(x-5) = x+= D. Subtraction: (3x² + x³)-(-2x4+x³) = 5x*

The domain, range, and intercepts of a function are shown. Which set of information could be characteristics of the function's inverse? range: y2-1 x-intercept: (8,0) domain: x2-2 y-intercept: (0,4) A. domain: x2-1; range: yz -2; y-intercept: (0,8); x-intercept: (4,0) B. domain: x2-1; range: y2 -2; y-intercept: (4,0); x-intercept: (0,8) C domain: x2-2; range: y2-1; y-intercept: (0,8); x-intercept: (4,0) D. domain: x2-2; range: yz-1; y-intercept: (0,4); x-intercept: (8,0)

The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the dealership sold six cars (Po= 6). The second week the dealership sold cars (P₁ = 11). Write the recursive formula for the number of cars sold, Pn, in the (n + 1)th week. Pn=Pn-1 + Write the explicit formula for the number of cars sold, Pn, in the (n + 1)th week. Pn= If this trend continues, how many cars will be sold in the sixth week?

Solve the quadratic equation by factoring. x² - 7x-8=0 x= -4 or x = 2 x = 8 or x = -1 x= -8 or x = 1 x = 4 or x = 2

The polynomial (x-2) is a factor of the polynomial 3x² - 8x + 2. A. True B. False

Runners in a long distance race start out going 8 kilometers east and then head north for the remainder of the race. The finish line is 10 kilometers from the starting line. How far did the runners travel north? 2 km 6 km 10 km

Kayla was asked to rewrite the polynomial expression x²-14x + 49. How could she rewrite the polynomial? A. (x+7)(x+2) B. (x-7)(x-7) C. (x-7)(x+7) D. (x+7)(x+7)

Clint's salary increased from $22,000 to $28,600 over a three-year period. Helen's salary increased from $27,000 to $35,100 over the same period. Whose salary increased more in absolute terms? In relative terms? Explain. Whose salary increased more in absolute terms? Select the correct choice below and fill in the answer box(es) to complete your choice. A. Helen's salary increased more, because her salary increased by $ amount that Clint's salary increased. This is more than $ B. Clint's salary increased more, because his salary increased by $ amount that Helen's salary increased. C. Neither person's salary increased more, because both of their salaries increased by $ This is more than $ the the

A circle has a radius of 3 feet. What is the area of a sector with a central angle of 90 degrees?

Point (-5, 5) lies in Quadrant I IV II III

Two lighthouses are located on a north-south line. From lighthouse A the bearing of a ship 3742 m away is 129 °. From lighthouse B the bearing of the ship is 39°. Find the distance between the lighthouses.

Select the axis of symmetry and y-intercept of f (x) = x² + 4x - 5 (Choose 2) (0,8) (0.-1) (0,3) x=1 (0.-5) x=2 □ x=-2 x=0 □ (0, 1) x=-1 x = 3

Find the average rate of change of the function f(x)=x² + 5x from x₁ = 2 to X₂ = 4. The average rate of change is (Simplify your answer.)

Which statements describe one of the transformations performed on f(x) = x² to create g(x) = 3(x+5)² -2? Choose all that apply. A. A translation of 2 units to the left B. A vertical stretch with a scale factor of 1/3 C. A vertical stretch with a scale factor of 3 D. A translation of 5 units to the left

Solve for x. 3(x + 2) = 12 x = 6 x = 2 x = 3 1/3 x=4 2/3

Solve for x. 8(x + 1)-3(x + 4) = 7(2 - x) x=11/12 X x=-11/ x=-11/2 x = 1/

A circle has a radius of 3 feet. What is the length of the arc with a 60 degree central angle? Select one: π feet 2π feet 6π feet 3π feet

Simplify (assuming that a is positive): √50a² 5av10 2a √5 25a√2 Sa√2

Which one of the following options is true when considering the expansion of the binomial expression (x + y)5? A. The expansion of (x + y)5 will yield 5 terms. B. The first term of the expansion of (x + y)5 is x5y5. C. The sum of the exponents of each term of the expansion of (x + y)5 is 5. D. The coefficients of the expansion of (x + y)5 are: 5, 10, 10, 5.

A toy rocket is launched straight up from the top of a building. The function that models the height as a function of time is h (t) = -16t² + 200 + 50. At what height was the rocket launched? 16 ft 50 ft 200 ft 25 ft

Write a slope-intercept equation for a line passing through the point (5,-4) that is parallel to the line 5x+6y=7. Then write a second equation for a line passing through the point (5,-4) that is perpendicular to the line 5x+6y=7. 5x1 The equation of the parallel line is y=- (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.) The equation of the perpendicular line is

Determine whether the function is even, odd, or neither. Then determine whether the function's graph is symmetric with respect to the y-axis, the origin, or neither. f(x)=x5 +6x Determine whether the function is even, odd, or neither. Choose the correct answer below. odd even neither Determine whether the graph of the function is symmetric with respect to the y-axis, the origin, or neither. Select all that apply. y-axis neither origin

Simplify the given equation. 5x + 2(x - 3) = +2(x - 1) 7x-6=-2x-2 7x-6=-2x+2 7x-3 = -2x-1

Which of the following is the complete factorization of the polynomial below x³+x²-17x+15 A. (x+5)(x-3)(x-1) B. (x-5)(x+3)(x-1) C. (x+5)(x+3)(x+1) D. (x-5)(x-3)(x+1)

The polynomial function F(x) = 2x² +8x-7 has a critical point at which of the following x-values? A. x = -7 B. x = 0 C. x = -2 D. x = 2