Math Questions

A scalene triangle has symmetry with respect to a line containing a median of the triangle. True False

Select all that describe the graph of f(x) = -3. 2x as compared to the graph of f (x) = 2x exponential growth vertical stretch reflected over the x-axis vertical compression exponential decay reflected over the y-axis

Which of the following equations represents F(x) = x^4 shifted left 3 units and up 2 two units? A. F(x)=(x-3)^4 +2 B. F(x)=(x-3)^4 - 2 C. F(x) = (x+3)^4 - 2 D. F(x) = (x+3)^4 +2

Solve by completing the square: x² - 6x = 22 x=3+√31 or x = 3-√31 x=-3+√√31 or x = -3-√3 x=3+√13 or x = 3-√13 x=-3+√13 or x = -3-√13

Diameter = 18, Angle = 36°, Arc length = ? 1.8 The injury was not a stubbed toe. 1.8π Professor Delta was winding his watch in the movie theater. 3.6π The injury was not done by chemical poisoning. 32.4π Coach Omega was cooking in the kitchen.

Use the quadratic formula to solve the equation: 4x² - 26x - 42 = 0 Ox= 132-√337/4 or x = -13-2√//127/4 Ox= 13+√337/4 or x = -13+2√127/4 Ox= 13+2/127/4 or x = -13+2√/337/4 Ox= 13-2√//127/4 or x = -13-2√//127/4

Simplify (assuming all variables are positive): √75x³y³ 5xy √3xy 25x²y²√3xy 25xy √3xy 5x²y²√3xy

A rock falls from a tower that is 102.9 m high. As it is falling, its height is given by the formula h = 102.9-4.91². How many seconds will it take for the rock to hit the ground? (h = 0) 2160.9 sec 4.6 sec 9.9 sec 10.1 sec

A rice producer fills boxes with the same weights of different rice varieties to produce rice blends. The machinery filling each box is designed to put 42 ounces of rice in each box. But the machinery is imperfect. The actual weight of each box varies by a certain number of ounces. What mathematical model could the manufacturer use to represent the weights of the boxes?

In the polynomial function below, what is the leading coefficient? F(x) = x² +8-5x³-19x A. 1/2 B. 8 C. -19 D. 2 E. -5

Japan became a major economic power after World War II due to 1. the support of the Soviet Union and Warsaw Pact nations 2. a focus on the production and exportation of consumer goods 3. spoils of war brought home by Japanese soldiers 4. the acquisition of new markets through military conquest

Solve for x. 16x - 5 = 18x - 2 x = 1 1/2 x = -3 1/2 x = -1 1/2 x = 3 1/2

What is the quotient of the synthetic division problem below, written in polynomial form? -1√264 A. -2x+8 B. 2x+8 C. 2x+4 D. -2x+4

Which of the following describe the graph of y=1/3(3/2)^x compared to y = (3/2)^x. (Choose 2) Reflection across the x-axis Reflection across the y-axis Vertical Compression Exponential Decay Vertical Stretch Exponential Growth

Hans is planting a garden with snapdragons and daisies. The table shows some possible combina of the two plants. If Hans plants 29 daisies, how r snapdragons will he plant? The equation Hans will plant models the scenario. snapdragons.

Select all that describe the graph of f(x) = 1/3(1/5)* as compared to the graph of f(x) = (1/5) (Choose 2) reflected over the x-axis vertical compression exponential growth reflected over the y-axis Oexponential decay vertical stretch

Solve the triangle, if possible. Round to the nearest hundredth. a = 27 ft b = 31 ft c = 42 ft A = 39.96°, B = 47.51°, C = 92.53° A = 39.96°, B = 23.76°, C = 116.28° A= 47.51°, B = 39.96°, C.= 92.53° No solution

Given quadrilateral RSTU, tell which sides (if any) are parallel and which are perpendicular for the coordinates of the vertices. R(-1, 1), S(1, -2), T(4, 0), U(3, 3) Click on the graphic to complete the answer RS ST

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. (-2, -1), (-5, -1), (0, 4), (5, -1), (2, -1), (2, 1), (-2, 1), (0, 5), (0, 1).

Find all the roots. 22x² - 15x=0 x = (Use a comma to separate answers. Type repeated roots only once.)

Factor, if possible. y²+y-2 Select the correct choice below and fill in any answer boxes within your choice. A. y²+y-2= (Type your answer in factored form. Factor completely.) B. The polynomial is prime.

Solve the equation b factoring: b² = -4b+ 21 Ob=7 or b=3 Ob=-7 or b=3 Ob= 7 or b=-3 Ob=-7 or b=-3

The longer base of an isosceles trapezoid joins points (-3, -2) and (7, -2). One endpoint of the shorter base is (-1, 4). What are the coordinates of the other endpoint? (0, -3) (5,4) (4, 5)

A ball is thrown from the top of the school. The height of the ball (in feet) written in terms of the time (in seconds) is modeled by f(t) = -16r² + 32 + 48. What is the maximum height of the ball? 6 feet 64 feet 48 feet 112 feet

Select all that describe the graph of f(x) = 1/3 4x as compared to the graph of f(x) = 4x vertical compression exponential growth reflected over the y-axis reflected over the x-axis vertical stretch exponential decay

A business estimates that the value V(t) of a certain piece of office equipment is decreasing to the function V (t) = 65(0.8)^6 according where t represents the number of years that have elapsed since it was purchased, and V(t) is in dollars. Find this piece of equipment's value after 6 years. Round the answer to the nearest cent. $

Use the quadratic formula to solve the equation: x² + 15x + 24 = 0 x = 15+√129/2 or x = 15-√129/2 x = 15+√321/2 or x = 15-√321/2 x = -15+√129/2 or x = -15-√129/2 x = -15+√321/2 or x = -15-√321/2

You are asked to solve the following quadratic equation using either quadratic formula or by factoring. What method would you chose and explain why. 6x² + 20x + 5 = 0

Name the kind or kinds of symmetry the following figure has: point, line, plane, or none. (Select all that apply.) O plane line none point

(x − 2)(-5x² + x) = (x)(−5x²) + (x)(x) + (−2)(-5x²)+(-2)(x) is an example of: A. Dividing two binomials B. Vertical multiplication C. Complex conjugates D. FOIL

One of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. The height of the ball is modeled by the equation h (1) = -16t² + 39t. If the bell is 25 ft above ground will it be hit by the ball? Not enough information given. Yes No

The vertices of PQR have coordinates P(2,3), Q(3,8), and R(7,3). Under which transformation of POR are distance and angle measure preserved? 1) (x,y) → (2xy + 3) 2) (x,y) → (x+2y+3) 3)(x,y) → (2x,3y) 4) (x,y) → (x-2y) O 1 O 2 O 3 O 4

Three of the vertices of a rectangle have coordinates (-1, -1), (6, -1), and (-1, 2). What are the coordinates of the fourth vertex? (-1,2) (2,6) (6,2)

The length of the rectangle is 4 more than the width. The area of the rectangle is 45 square centimeters. Identify the length and width of this rectangle. The width is 5 cm and the length is 9 cm The width is 9 cm and the length is 13 cm The width is 9 cm and the length is 5 cm The width is 5 cm and the length is 20 cm

Select all that apply. The equation of a line can be found for which situations? Two points on the line are known. Three points in the coordinate plane are known. The slope is known A point on the line and the slope are known. A point on the line and another point in the coordinate plane are known.

Which of the two functions below has the smallest minimum y-value? f(x) = x^5 - 2 g(x) = 3x^2 + 1 A. f(x) B. The y-values for f(x)and g(x) both go to - C. There is not enough information to determine D. g(x)

Consider the function f(x) = x²e^5x f(x) has two inflection points at x = C and x = D with C < D where C is and D is Finally for each of the following intervals, tell whether f(x) is concave up or concave down. (-∞, C): (C, D): (D, ∞):

Solve for x. 4(x + 2) = 48 x = 14 x= 10 x=6 1/2 x= 7 1/2

Solve the quadratic equation using completing the square: x2 = -2x + 21 x=-1+ √21 or x = -1- √21 x=1+ √21 or x = 1 - √21 x=-1+ √22 or x = -1 - √22 x = 1 + √22 or x = 1 - √/22

Which of the following sets contains all roots of the polynomial F(x) = 2x³ + x²-3x? A. (0,1,3/2) B. (-3/2,0.1) C. (-3/2,1) D. (-1.-3/2)

At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship B is sailing north at 24 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)

Select the equations that represent an Exponential Growth Equation. (Choose 2) f(x) = 1/3(1/2) x f(x) = 2(1/5)x f(x) = 1/5(3/2)x f(x) = 2(3)x

Which of the following represents the divisor and the dividend for the synthetic division problem below? -1√2 9 7 A. x+1 and 2x² +9x+7 B. x+1 and -2x² -9x-7 C. x-1 and -2x² -9x-7 D. x-1 and 2x² +9x +7

A shipment of seven smartphones contains two with cracked screens. If sold in a random order, what is the probability that the first five sold have undamaged screens?

A basketball is thrown and the path can be modeled by ƒ (x) = −16x² + 15x + 6 where x represents time in seconds and f (x) represents height of the ball in feet. In how many seconds will the basketball hit the ground if no one catches it? about 1.2 seconds about 0.6 seconds about 0.3 seconds about 2.4 seconds

Select all that describe the graph of f(x) = 3(1/2)x-4-2 as compared to f(x) = ()*. (Choose 3) horizontal shift to the right 4 Overtical compression vertical stretch vertical shift up 2 vertical shift down 2 horizontal shift to the left 4

Choose the answer based on the most efficient method as presented in the lesson. If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then what should the next step be? subtract 5x add 8 subtract 3

Indicate the equation of the line through (2, -4) and having slope of 3/5.

Find the common difference of the sequence shown. 1/6, 1/4, 1/3 1/12 1/3 1/6

A person is standing 40 ft from a light post and can see the top of the light at a 35° angle of elevation. The person's eye level is 5 feet from the ground. What is the height of the lightpost to the nearest foot. The height of the light post is ---- feet.