Math Questions

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

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.)

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

A rectangular patio measures 20 feet by 30 feet. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio.

Simplify (assuming all positive exponents): √60a¹¹ 2a5√15a 4a55 √15 2a5√8a

A person buys a phone for $83 and signs up for a single-line phone plan with 2000 monthly anytime minutes. The plan costs $112.95 per month. Write an equation that can be used to determine the total cost, C(t), of this phone plan for t months Then, find the cost for 24 months, assuming that the number of minutes the person uses does not exceed 2000 per month. An equation that can be used to determine the total cost, C(t), of the phone plan for t months is C(t) = (Use integers or decimals for any numbers in the expression.)

y = x² y = 1,002 x -2,000 If (x1, y1) and (x2, y2) are distinct solutions to the system of equations shown above, what is the sum of the x ₁ and x ₂?

Point (0, 6) lies on the line y = x x-axis y-axis

What is the complete factorization of the polynomial below? x^3+x^2 + 4x + 4 A. (x + 1)(x+2i)(x+2i) B. (x-1)(x + 2i)(x-2i) C. (x + 1)(x + 2i)(x-2i) D. (x-1)(x + 2i)(x+2i)

Which statement best describes the end behavior of the following function? F(x) = 2x²-x² +5x-9 A. The graph of the function starts low and ends low. B. The graph of the function starts high and ends low. C. The graph of the function starts high and ends high. D. The graph of the function starts low and ends high

What are the zeros of the function f(x) = (x+5)(2x-8) ? A. x= -5 and x = 8 B. x = -5 and x = 4 C. x = 5 and x = -4 D. x = 5 and x = -8

Which of the following are not polynomials? A. x² +0x²+2x+√2 B.2/x3 +1/2 C. x2/3+√3x+1 D.2/3+x-2+1 E. x-2+x+1

Simplify (assuming all variables are positive): √16a²b³ 4a²b² √b ab√16b 4avb 4ab√b

Simplify: 48x^4−72x^3+44x/24x^2 48x^2 + 41x 48x^5 – 72x^3 + 11/6x 2x^3-3x + 11/6x 2x^3 - 72x^3 +44x

If P = (2, -1), find the image of P under the following rotation. 90° counterclockwise about the origin ([?], [])

A group of friends went to lunch. The bill, before sales tax and tip, was $37.50. A sales tax of 8% was added. The group then tipped 18% on the amount after the sales tax was added What was the amount, in dollars of the sales tax?

Which of the following represents "ten times the sum of a number and fourteen is equal to nine times the number"? 10(N+14) = 9N 10(N +9N) = 14 10(9N+14) = N

A student submitted the following work that is not correct. Can you find the mistake? Explain the mistake the student made. Simplify (assuming all variables are positive): √32x^3y^2z^7 Step 1: √8.4.x^2.x.y^2.z^6. z Step 2: 2xyz^3√8xz

If the zeros of a quadratic equation are -2 and 4, what would be the factors? (x + 2)(x+4) (x + 2)(x-4) (x-2)(x+4)

Select all that describe the graph of y = -2/3(4)^x+3 - 4 as compared to y = 4^x (Choose 4) horizontal shift to the left 3 vertical stretch vertical shift up 4 vertical shift down 4 horizontal shift to the right 3 reflection over the y-axis vertical compression reflection over the x-axis

Find the vertex: f(x) = -3x² + 18x - 25 (-2,-73) (-3,-106) (2.3) (3,2)

Solve the equation by taking square roots: -3(x - 2)² +33 = 0 x = -2+√30 or x = -2-√30 x = 2+√11 or x = 2-√11 x = 2+√30 or x = 2-√/30 x = -2+√11 or x = -2-√11