Math Questions

Simplify the equation. Then solve by the quadratic formula. 3x²2²-6x+5=0 X=

Find the domain, any asymptotes, and the x- and y-intercepts of f(x). Then graph the function. f(x)=2x+3/x

Graph the solution of the following system. x-y 2 -4 - 3x-y ≤ 5 Use the graphing tool to graph the system.

What is the SUM of the angle measures in a nonagon (9 sides) A 900° B) 1080° C 1440° D 1260°

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. Angle-Angle-Side (AAS) Congruence Theorem BSide-Side-Side (SSS) Congruence Postulate Angle-Side-Angle (ASA) Congruence Postulate Side-Angle-Side (SAS) Congruence Postulate

For the function f(x), find the maximum number of real zeros, the maximum number of x-intercepts, and the maximum number of turning points that the function can have. f(x)=x4-x³ +6

For the function f(x)=x9 - 8x³ + 8x - 7, state: a) the maximum number of real zeros that the function can have; b) the maximum number of x-intercepts that the graph of the function can have; and c) the maximum number of turning points that the graph of the function can have.

Which set of integers does NOT represent the lengths of the sides of a triangle? A. {4,7,9) B. (6,6,11} C. {4,8,12) D. (9,10,11)

23 less than twice a number is - 15. Find the number.

A sector of a circle has a central angle of 120°. Find the area of the sector if the radius of the circle is 14 cm.

Solve the following system of equations. 3x+2y-5=0 x=y+10 Make sure there are NO SPACES in your answer. Include a comma in your answer.

Suppose on your 21st birthday you begin making monthly payments of $500 into an account that pays 8% compounded monthly. If you continue the payments until your 51st birthday (30 years), how much money will be in the account?

If we angles and the nonincluded side of one triangle are congruent to the corresponding angles and the nonincluded side of another triangle, then the triangles are congruent. Side-Side-Side (SSS) Congruence Postulate Angle-Angle-Side (AAS) Congruence Theorem Angle-Side Angle (ASA) Congruence Postulate Side-Angle-Side (SAS) Congruence Postulate

Tides are coming into the shore twice as far at Groves Point as they are at Harbor Bay. Compare the graphs of the length of tidal movements over time of both shorelines. The amplitude of the graph for Harbor Bay is twice the amplitude of the graph for Groves Point. The amplitude of the graph for Harbor Bay is four times the amplitude of the graph for Groves Point. The amplitude of the graph for Groves Point is twice the amplitude of the graph for Harbor Bay. The amplitude of the graph for Groves Point is half the amplitude of the graph for Harbor Bay.

Phyllis went to the mall and saw a massage chair that she would have to take a loan out for $6500 to purchase. The bank said that she could get a simple interest rate of 5% for 5 years. What is the total amount that Phyllis will pay for the chair?

Which description does NOT guarantee that a quadrilateral is a square? has all sides congruent and all angles congruent is both a rectangle and a rhombus has all right angles and has all sides congruent is a parallelogram with perpendicular diagonals

A man walks 10 miles in x hours. How far does he walk in one hour? Which expression represents this? 10/x miles 10x miles 10+x miles

One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the rectangle? Which of the following equations could be used to solve the problem? 2x-2x-3=54 2x2(x-3)=54 2x-3=54

Where is the center of the largest circle that you could draw inside a given triangle? the point of concurrency of the angle bisectors of the triangle the point of concurrency of the medians of the triangle the point of concurrency of the altitudes of the triangle the point of concurrency of the perpendicular bisectors of the sides of the triangle

Which of the following would not be the result of a substitution 2x + y = 7 y - x = 1 2x+x+1=7 2(y+1)+y=7 7-2x-x=1

2x - y = 2s 2x - 2y = 4s The lines whose equations are shown intersect at which point? (0, -2s) (-2s, 0) (4s, 2s)

Suppose you invest $2500 at an annual interest rate of 3% compounded continuously. How much will you have in the account after 7 years? Round the solution to the nearest dollar. $3592 $3297 $3084 $3025

Solve the following system of equations graphically. y - 4 = 0 2x-y-2=0 What is the solution set? [(-3, 4)) [(-3,-4)) {(3, 4)}

x+y=k x-y=k The solution to the system shown is (2, 2) (k, 0) (0. k)

For the polynomial function f(x) = x(x + 3)(x + 2)2, find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept. x = 0, cross; x = -3, cross; x = -2, cross x = 0, cross; x = -3, cross; x = -2, touch x = 0, touch; x = -3, touch; x = -2, touch x = 0, cross; x = -3, touch; x = -2, touch

y = 1/4 x + 7 y = 1/2 x+5 The y-coordinate of the solution to the system shown is 19 111 9

Find the coordinates of a point n (x,y) = with radius 10 corresponding to an angle of 345° Round your answers to three decimal places.

If 3 times a certain number is increased by 4 the result is 28. What is the number? If x is "the number," which of the following equations could be used to solve for the number? 3(x+4)=28 3x=4+28 3x+4-28

A man divided $9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received $1,000 more than the daughter. How much did each receive? If x is the amount the wife received, then which of the following expressions represents the amount received by the son?

A cellular service provider is expanding the number of cell towers it has in Butler County. At one place, there are 9 kilometers between two towers. On a map with a scale of 1 centimeter : 1 kilometer, how far apart are the two cell towers?

For the following system, use the second equation to make a sub x + 5y - 10 = 0 x= 2y-8 What is the resulting equation in simplest form? -3y-18-0 3y-18-0 7-18-0

The width of a rectangle is y feet long. The rectangle is 4 feet longer than it is wide. What is the area of the rectangle? Which expression represents the area? y+4 sqft y(x+4) sq ft 4ysqft

The sum of three numbers is 69. If the second number is equal to the first diminished by 8, and the third number is 5 times the first. What are the numbers? If x represents the first number, then which of the following equations could be used to solve the problem? 69-6x-8 x=6x-8 69=7x-8

Solve the following system of equations graphically. x = -5 y=-6 What is the solution set? 69 ((-5,5)) -6,-5)

Kiara measured a swimming pool and made a scale drawing. The scale she used was 13 centimeters: 6 meters. In the drawing, the pool is 26 centimeters wide. What is the width of the actual pool?

Create a 5-question survey on a topic of your choice. Use at least 3 different types of questions. Describe the type of data you are collecting and what sampling method you would use. Explain how you would prevent bias in your survey. You should use at least 5 keywords from Unit 2.

Two fewer than a doubled number is the same as the number decreased by 38. Find the number. If n is "the number, which equation could be used to solve for the number? 2(n-2)=n+38 2(n-2)-n-38 2n-2=n-38

A study of 55 patients with back pain reported that the mean duration of pain was 17.6 months. It is known that the standard deviation of duration of back pain is 5.1 months. Assuming that the duration of this problem is normally distributed in the population; determine a 99% confidence interval for the mean duration of back pain in the population.

Thomas has $6.35 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many quarters does he have? If q represents the number of quarters, then which of the following expressions represents the value of the number of dimes in cents? 3q+3 635-q 10(3c+3)

The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to 1/2. If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem? 3n = 5d and 2n-4-d-2 5n = 3d and n -2=2d-4 5n 3d and 2n-4d-2

Consider functions fand g. f(x) = 4(x − 3)² + 6 g(x) = -2(x + 1)² + 4 Which statements are true about the relationship between the functions? The vertex of function g is 4 units to the left of the vertex of function f. Function g opens in the same direction as function f. The vertex of function gis 2 units below the vertex of function f. Function g opens in the opposite direction of function f. The vertex of function gis 2 units above the vertex of function f. The vertex of function g is 4 units to the right of the vertex of function f.

Twice a certain number is tripled. The resulting number is 1/3(2x) (2x)3 2x+3 2x-3

Determine the end behavior for function f(x) = −x(x − 8)(2 − x). as x→∞, ƒ(x) → ∞ and as x →-∞, ƒ(x) ⇒ −00 as x→∞o, f(x) →∞ and as x→-00, f(x) →∞ as x→∞, f(x) →-∞ and as x→-00, f(x) →∞ as x→∞, f(x) →∞ and as x→∞, f(x) ➜ -∞

Choose what the expressions below best represent within the context of the word problem. If Sarah is 24 years younger than her mother and if the sum of their ages is 68, how old is Sarah? x best represents x-24 best represents

A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. If b = the rate of the boat in still water and c = the rate of the current, which of the following equations represents the trip downstream? 4(b + c) = 120 3(b-c) = 120 O3(b + c) = 120

For the function f(x)=x²+2x-24 solve the following. f(x) ≥ 0 Select the correct choice below and fill in the answer box within your choice. A. The solution is (Type your answer in interval notation.) B. The solution is. (Use a comma to separate answers as needed.)

For the given function, state the amplitude and the maximum output for the function: f(t) = -3cos(t). The amplitude is 6 and the maximum value is y = 3. The amplitude is 3 and the maximum value is y = 6. The amplitude is 6 and the maximum value is y = 6. The amplitude is 3 and the maximum value is y = 3.

Solve by the quadratic formula. 5x +x-4=0 X= (Simplify your answer. Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1463 and the standard deviation was 311. The test scores of four students selected at random are 1890, 1230, 2170, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The Z-score for 1890 is 1.37. (Round to two decimal places as needed.). The Z-score for 1230 is -0.75. (Round to two decimal places as needed.). The Z-score for 2170 is 2.27. (Round to two decimal places as needed.). The Z-score for 1340 is 0.40. (Round to two decimal places as needed.). Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The unusual value(s) is/are (Use a comma to separate answers as needed.) B. None of the values are unusual.