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Basic Algebra

Equation Involving Projectile Fired into Air

The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 75 feet per second is a function of the time (t) and is given by the equation h(t) = 75t - 16t^2. Compute h(1), h(2), and h(4). A. 65; 89; 44 B. 61; 86; 48 C. 59; 89; 46 D. 59; 86; 44 E. 65; 89; 46

Degree of Polynomial

Identify the degree of each term of the polynomial and the degree of the polynomial. -7x^3 + 5x^2 + 7x + 3 The degree of the first term is ____ The degree of the second term is____ The degree of the third term is_____ The degree of the fourth term is_____ The degree of the polynomial is_____

Completing Tables and Plotting Points on Separate Graphs

Part 1 - Online Calculator Go to This site requires no download. It allows you to copy and paste the answers from the calculator as well, which is a great feature when working on your projects. An alternate website is Let's practice using the calcula

Compount Interest using the Formula

The formula A=P(1+r)^2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate r (where r is given as a decimal), using compound interest. What interest rate will cause $2000 to grow to $2247.20 in 2 years? The interest rate is _____% (Type an integer or a decimal. Round to the nearest tenth o

Velocity and Time

A horseshoe is thrown upward from a initial height of 60 feet with a initial velocity of 40 feet per second. How long after the horseshoe is projected upward. 1. Will it be 20 feet from the ground? 2. will it strike the ground?

Find Stationary Points and Inflexions of a cubic polynomial

The problem looks at a general cubic polynomial, and calculates the conditions needed for exactly two stationary points to exist. It also finds the inflexion point. Consider the cubic polynomial (degree 3) given by, y=ax^3+bx^2+cx+d, where a is not equal to 0. (a) Find the condition on the constants a,b,c so that this f

Arc Trisection & Square A= Circle A Impossible Construction

Given: Define a geometric construction as an object that can be created using only a compass and a straightedge. Mathematicians have shown that it is not possible to: 1. Geometrically construct a square with an area equal to that of a given circle. 2. Use a geometric construction to trisect an arbitrary angle. The proo

Abstract Algebra

Given: Define a geometric construction as an object that can be created using only a compass and a straightedge. Mathematicians have shown that it is not possible to: 1. Geometrically construct a square with an area equal to that of a given circle. 2. Use a geometric construction to trisect an arbitrary angle. The proo

Review inequalities faced by African Americans.

· Include whether you feel the author makes a valid claim or if you disagree, and why. · Locate and cite a peer-reviewed article that supports your position and address the following: o Identify the inequality discussed by the author and how it differs from other types. o Does this inequali

Basic College Algebra Questions

1. An initial investment of $1000 is appreciated for 8 years in an account that earns 9% interest, compounded annually. Find the amount of money in the account at the end of the period. 2. Let f(x) = 3x. Find f(2). 3. Solve the equation 1296 x = 6 4. If $ 2500 is invested in an account that pays interest compo

Solving algebraic equations.

A grandmother is looking for a plan to finance her new grandchild's college education. She has $25,000 to invest. Search the internet and locate a long-range investment plan, CD, Savings Bond, etc, for the grandmother. The plan is to earn compound interest. Calculate the future value of the investment. You must use the adverti

quadratic formula equation

51- Multiply 52- Use the quadratic formula to solve the equation 54- Find the x-intercepts for the graph of the equation (type an ordered pair) The x-intercepts are= 56- Subtract, simplify if possible 57- Factor completely 58- For the following equation state the value of the discriminant and then describe


Please help me with the attached algebra problems.

Linear equations are assessed.

What similarities and differences do you see between the functions and linear equations studied in Ch. 3? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

Finding the slope of a line is a fundamental skill for every user of mathematics.

Sometimes you need to find the slope of a line based on two given points. Sometimes you need to read a linear equation and determine the slope of a lone from the equation. This solution covers both of these cases and shows how to avoid errors, especially when determining the slope from two points. It also shows how to interpr

Quadratic Equation Problem

The electric power generated by a windmill varies jointly with the square of the diameter of the area swept out by the blades and the cube of the wind velocity. If a windmill with 6-foot-diameter blades and a 20-mile-per-hour wind generates 10,823 watts, how much power would be generated if the blades were 10 feet in diameter an

Mathematical Induction Proof

See Attachment. Use mathematical induction to prove that LOG(base2) n < n. (n > 0, n E N) Why is the basis step (step 1) in mathematical induction necessary? Present an example to show that wrong results can be obtained if the basis step is missing.

Proof with Maximum Modulus Principle

Expand the given sketch of a proof into a reasonably complete proof. It is suggested that the following proof be used: Maximum Modulus Principle: Let U be a non-empty open subset of the complex numbers C, let D(z0,r)={z є C: |z-z0| ≤ r} be a closed disk (with center z0 and radius r >0) that is entirely contained in U, le

Problems with Exponential and Logarithmic Functions

Please simplify the exercises: For example: R(x)=9x/x-17 H(x)=-2x^2/(x-2)(x+1) The domain of H is (x/x) __________ Use comma to separate answer as needed. Another one is: Find the vertical asymptote(s) graph of the national function. f(x)=x/x+7 Note: The vertical asymptote (s) is are__________ type equat

Taylor Series

The fourth degree Taylor Polynomial for f(x) about x = 3 is : P4(x) = -1 - (x-1)^2 + 2(x-1)^3 - 4(x-1)^4. i) Find f^(n)(1) for n = 1, 2, 3, 4. ii) Show that the function has a local maximum at x = 1. iii) The fifth derivative of f(x) satisfies |f^(s)(x)| less than or equal to 25000 for all x in [0.8, 1.1]. Use the L

East Battle Lake Math Problem

The population of the United States is about 3.02 x 10 to the 8th power, and the average American uses about 1.5 x 10 to the 2nd power gallons of water per day. Could this lake supply the American population with water for 1 day? Thank you.

Elementary Math dealing with Addition and Subtraction

Please help with the following problems. Category: Join (Subtypes: 1) Result Unknown, 2) Change Unknown, 3) Start Unknown): Problems: 1) Result Unknown: Amy has 5 marbles. Then Beth gave her 8 more marbles. How many marbles does Amy have now? 2) Change Unknown: Amy had 3 marbles. How many marbles does she need to h

Math problem solving

Read the below problem and come up with ways to solve that problem. Please explain the ways in detail to come up with the answer. * Problem: Apple Orchard The owner hired three watchmen to guard his apple orchard, but a stranger got in and stole some apples. On the way out, the stranger met each watchman, one at a time. To

Multiplication of Degrees Theorem

Let u be an algebraic element of K (field extension of F) whose minimal polynomial in F[x] has prime degree. If E is a field such that F is contained in E is contained in F(u), show that E = F or E = F(u)

Differentiate between an expression and an equation

How might you graph an equation in two variables in the rectangular coordinate system? What is the relationship between an exponential function, such as y = 2x, and a logarithmic function, such as the logarithm of x to the base of 2? What values does understanding logarithmic functions allow you to solve for? How do you di

polynomial of degree

2. verify that the function f(x) = e^-2x satisfies the hypothesis of mean value theorem on the interval [0, 3] and find all the number c that satisfy the conclusion of the mean value theorem. 3. show that a polynomial of degree two has at most two real roots.

Given positive integers

A dart board has regions worth a points and b points, where a and b are positive integers with no common factors. What is the largest point total that cannot be obtained by throwing darts at the board?

Abstract Algebra: Irrationals

Please provide a proof to the following problem. Thank you for your time, it is greatly appreciated. "Show that the nth-root of m is not rational unless m = k^n for some integer k." Thank you again.