Math Questions

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.

In finding the solution of the equation 5 - 3x = 2x + 9, 3x is added to both sides of the equation first. Which of the following should be done next? add-9 add-5 add-2x

Consider the function f(x) = 2 - 5x² on the interval [ - 3, 7]. The average rate of change of f(x) on this interval is: f(7) - f(-3) / 7-(-3) = The Mean Value Theorem says that there is at least one number c in the open interval (,) so that f'(c) equals this average rate of change. Find the value(s) of c that work for f(x) on ( - 3, 7):

The distance between A (-4, 2) and B(4, 2) is. 4 6 8

A book editor was proofreading a draft of a novel. She found that the number of errors on each page of the book was normally distributed, with the mean number of errors on a page as 15 and a standard deviation of 2. If 102 pages had between 11 and 15 errors, what was the approximate total number of pages in the book?

Solve for x. 7(x + 1) = 21 x = 4 Ox=22/7 Ox=2 Ox=20/7

Find the 30th term of the following sequence. 2, 8, 14, 20, ... 176 182 180 174

Find the average rate of change of the function f(x)=x² + 3x from x₁ = 4 to x₂ = 6.

The coefficients in the expansion of (x + y)4 are. A. 1, 4, 6, 4, 1 B. 0, 1, 6, 4, 1,0 C. 1, 4, 6, 6, 4, 1 D. 0, 4, 6, 4,0

Fire towers A and B are located 10 miles apart. They use the direction of the other tower as 0°. Rangers at fire tower A spots a fire at 42°, and rangers at fire tower B spot the same fire at 64°. How far from tower A is the fire to the nearest tenth of a mile?

Find the image of the given point under the given translation. . P(-5, 7) T(x, y) = (x + 5, y - 4)

Which function is the inverse of y=-3x+6/7? A. y=-1/3 x+2/7 B. y = -1/3 x + 18/7 C. y=-3x-6/7 D. y=-1/3x+7/6

Simplify (assuming all variables are positive): √9x²y² 3√xy 3xy 3√3xy 9xy

An equation _______ has one solution. sometimes never always

Given that - 24x^8 + 3x^36y + y^9 = -20 compute dy/dx= Now find an equation of the line tangent to the graph of -24x^8 + 3x^36y + y^9 = -20 at (1, 1)

If R=(√2+1)^2n+1 where [R] and f = R-[R] denotes the greatest integer function and fractional part of R respectively, then the value of [R] is equal to: f+1/f f-1/f 1/f-f None of these

Find the maximum and minimum values of the function g(0) = 2θ - 7 sin(θ) on the interval [0, π/2] Minimum value = Maximum value: =

f (x) = (1/5)x represents an exponential growth equation. O True O False

Suppose a point has polar coordinates (2, - 3π/4),with the angle measured in radians. Find two additional polar representations of the point. Write each coordinate in simplest form with the angle in [-2π, 2π].

Use vertical multiplication to find the product of: x³ +2x+3 x²-x+1 A. x^6+x^4+4x³ - 2x² -x +3 B. x^6+2x³-2x²+2x+1 C. x^6+ x^4 + 3x³ - 2x²-3x+3 D. x^6 -x^4 +x³ - 2x² + 2x +3

Suppose a point has polar coordinates (-5, 11π/6) with the angle measured in radians. Find two additional polar representations of the point. Write each coordinate in simplest form with the angle in [-2π, 2π].

32) Irene is on the 18th floor of a hotel. Her car is parked in the B level of the parking garage which is two floors below the main floor (ground level). Including the floor on which Irene is located and the floor on which her car is located, how many floors will Irene pass when she rides the elevator to go to her car?

The total cost (in dollars) of manufacturing x auto body frames is C(x) = 70,000+400x. (A) Find the average cost per unit if 500 frames are produced. (B) Find the marginal average cost at a production level of 500 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 501 frames are produced. (A) If 500 frames are produced, the average cost is $ 540 per frame. (B) The marginal average cost at a production level of 500 units is $0.8 per frame. (Round to the nearest cent as needed.)

Which of the following terms appear in the expansion of (x+y)^10? The letter a in each term represents a real constant. A. ax^4y^6 B. ax^5 C. ax^6y^4 D. ax³y^7

What's the circumference of a circle with a radius of 3 inches? Use 3.14 for π.

Indicate in standard form the equation of the line passing through the given points, writing the answer the equation box below. B(0, 0), C(4,-4)

What is the degree of this polynomial? 5y² + y +1 A. 2 B. 1 C. 5 D. 3

Question 6 of 46 Using the factor theorem, which of the following is a factor of the polynomial below? x3 +7x2 +4x-12 A. x+6 B. x+4 C. x-3 D. x-2