Math Questions

Which of the following points lies in quadrant III? (-1,-5) (-1,5) (1,-5)

The coordinates P(0, 1), Q(3, 2), R(5, -4) form a right triangle. True False

What identity can be used to rewrite the expression 27X³ -64? A. Pythagorean Triples B. Sum of Cubes C. Difference of Squares D. Difference of Cubes

Which of the following is a root of the polynomial function below? F(x) = x² + 3x² -5x-4 A. 1/2 - √5/2 B. 4 C. 3 D. 1/3 + √5/3

A boat heads directly north across a river, 68 m wide at a rate of 3 m/s. The current is flowing downstream (due west) at 1.9 m/s. A. What is the resultant velocity and direction of the boat? Write your angle as a bearing. B. How long does it take the boat to cross the river? (Hint: How long does it take to covert the vertical distance of 68m across the river?) C. How far downstream is the boar when it reaches the other side of the river?

Three of the vertices of a square are the points whose coordinates are (2, 3), (2, 6), and (5, 3). What are the coordinates of the fourth vertex? (6,5) (2,5) (5,6)

To solve this system of equations, Ayana isolated y in the first equation and then substituted for y in the second equation. What was the result? 2y = 6x x² + y = 4 A. x² + 3x² = 4 B. x² + 6x = 4 C. x² + 3x = 4 D. x² + 6x² = 4

Calculate the mass percent concentration in the following solution: A sugar solution with 100 g of sugar, dissolved in 0.25 kg of water. Hint: Make sure that all of your units are in grams before doing any calculations. Round to one decimal place and do NOT include the % sign in your answer.

Simplify (assuming all variables are positive): √20x²5 2xy² √5y 2x²y4√√5y 4xy² √5y 2x²y² √5y

Solve x/3- 6 y for x. A. x= 3y - 18 B. x = y + 2 C. x = y 2 D. x= 3y + 18

What is the output of the following function for x = 2? F(x) = 2x¹ - x³ +5x-9 A. 25 B. 11 C. 9 D. 14

If you toss a coin, what is the probability of it landing tails up?

Simplify: (2x²y³)4 16x8y¹2 8x6y7 8x8y¹2 16x6y7

What is the degree of the polynomial below? 2x² +3x+1 A. 0 B. 3 C. 2 D. 1

Indicate the equation of the given line in standard form. Write the answer in the equation box below. The line containing the median of the trapezoid whose vertices are R(-1, 5), S(1, 8), 7(7,-2), and U2, 0).

Expand the expression. 1/3 (12d + e)

What expression is represented by the factorization below? (3x+2)(3x-2) A. 9x² +12x-4 B. 9x² +12x+4 C. 9x²-4 D. 9x² +4

Which of the following is a monomial? A. 9x²+2x+4 B. √2x+1 C. 6/x D. 3x

If you place these marbles in a bag, close your eyes, and choose a marble, what is the probability that it will be yellow?

Which of the following represents the synthetic division form of the long division problem below? 2x³ -6x² +4x+7/x+3 A. 3√-2 6-4 -7 B. -3√2 -6 4 7 C. 3√2 -6 47 D. -3√-2 6-4 -7

Kristen and Martha have a company making widgets. When working alone, Kristen can make a widget in 6 minutes. When working alone, Martha can make a widget in 2 minutes. How long would it take them working together to create a widget?

Which of the following would be the most logical first step to solving this quadratic equation? x^2 - 5x+6 = 0 A. Factor the left side. B. Use the zero product rule to set up smaller equations. C. Add-6 to both sides. D. Take the square root of both sides.

There are 16 marbles in a bag; 12 of the marbles are blue and 4 are yellow. What is the probability of picking a blue marble and then a yellow marble, without replacing the first marble? a. 11/20 b. 3/7 c. 1/5

Indicate the equation of the given line in standard form, writing the answer in the equation box below. The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5,-5).

What is the vertex of the quadratic function below? y = x² - 8x+1 A. (8, 1) B. (-4, 15) C. (4, -15) D. (-8, 129)

Use the sum of cubes formula to factor. Be sure to factor out any common factors. x³+27

Choose the kind(s) of symmetry. (Select all that apply.) H point line none plane

First factor out the greatest common factor from each term. Then factor the remaining polynomial. 4x² + 16x+12 4x² + 16x + 12 =

Harold moves no more than 43 of his sheep and goats into another field. Fewer than 22 of the animals are goats. Let s represent the number of sheep and g represent the number of goats. Which two inequalities represent this situation? A. s> 22 B. g <22 C. s+ g≤ 43 D. s-gs 43

If P = (5,4), find the image of P under the following rotation. 180° counterclockwise about the origin ([?], [ ]) Enter the number that belongs in the green box. Enter

What are the domain and range of the function represented by the set of ordered pairs? {(-13, 9), (-7,-5), (5, 14), (11, -10)} A. Domain: {-13, -7, 5, 11} Range: (-10,-5, 9, 14) B. Domain: {-10, -5, 9, 14) Range: (-13, -7, 5, 11) C. Domain: -13 ≤x≤ 11 Range: -10y≤ 14 D. Domain: -10 ≤ x ≤ 14 Range: -13 sys11

Grace bought a television for $329 and some DVDs for $5.75 each. Write an equation to find out how many DVDs Grace bought if she spent a total of $363.50. 329 +5.75m = 363.50

Stacy is building a candy house. She worked on it 3 hours before lunch and 6 hours after lunch. How many total hours did Stacy spend working on the candy house? Give your answer as a mixed number in simplest form. Enter the number that belongs in the green box.

There is a spinner with 11 equal areas, numbered 1 through 11. If the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 5?

Use the quadratic formula to solve the equation: x² + 3x - 5 = 0 x = -5 + √13/2 or x = -5-√13/2 x = -3+√29/2 or x = -3-√29/2 x = 5+√13/2 or x = 5-√13/2 x = 3+√29/2 or x = 3-√29/2

Indicate the equation of the given line in standard form, in the equation box below. The line through point (-3, 4) and perpendicular to a line that has slope 2/5

Solve 5ax + 6ax = 7ax+8 for x. Assume a‡0. O A. x = 2/a O B. x = 1/a O C. x = 2a O D. x = a

An airplane ascends at an angle of elevation of 22" for a ground distance of 7850 feet. What height does the plane gain during this ascent? Draw a picture on paper to support your answer, and round your answer to the nearest whole foot.

The circumference of a sphere was measured to be 86 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.

After making twenty-sixth payment of $480.00 on your car loan, you wanted to find out how much is left of your original 5 years loan at 4.1% compounded monthly of $26,000.00. What is the amount of the remaining balance of your car loan? The remaining balance of your car loan would be $ (Round to 2 decimal places.)

Mandy flipped a coin 50 times. The coin landed on tails 20 times. What was the experimental probability for landing on tails? A 3/5 B 2/5 C 4/5

Answer the statistical measures and create a box and whiskers plot for the following set of data. Min: 1, 2, 2, 4, 5, 9, 10, 12, 14, 14 Q1: Med: Q3: Max: Create the box plot by dragging the lines:

The following is the student's incorrect work in solving a quadratic using the zero product property. Explain the student's mistake. Step 1: x²-3x - 4 = 8 Step 2: (x-4) (x + 1) = 8 Step 3: x 4 = 8 or x + 1 = 8 Step 4: x= 12 or x = 7 -

Which of the following options is a 3rd degree polynomial with exactly 1 real root? A. F(x)= x+3x²-9x-27 B. F(x)= x +9x² +27x+27 C. F(x)=x²-9x² +27x-27 D. F(x)= x+3x² +9x+27

Name the kind or kinds of symmetry the following figure has: point, line, plane, or none. (Select all that apply.) 2 line point plane none

Given that f(x) = x² - 13x + 36 and g(x) = x-9, find (f+g)(x) and express the result in standard form.

Find the angle between the vectors (7, 2) and (9, -3). Carry your intermediate computations to at least 4 decimal places. Round your final answer to the nearest degree.

Suppose a point has polar coordinates (3, π/2) 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].

Consider the function f(x)=√2-x+7 for the domain (-∞, 2]. Find f(x), where is the inverse of f. 1 Also state the domain off in interval notation.

When using the rational root theorem, which of the following is a possible root of the polynomial function below? F(x) = 3x³x² + 4x +5 A. -5/3 B. -7 O C. 4/3 D. 6