Use of the Quadratic Formula
Solve by using the quadratic formula. x^2-6x=-9. Make sure to show all steps and work involved.
Solve by using the quadratic formula. x^2-6x=-9. Make sure to show all steps and work involved.
Graph {x/ x >/ -3} upside down U {x / x >/ 0}. The symbol beside the x should be a straight line, and the less than sign should have a bar under it. I did not know how to key these symbols.
See attached file for full problem description. A torus of radius 10 (and cross cross-sectional radius 1) can be represented parametrically by the function r: where D is the rectangle given by 0 <= theta <=2pi,
Express the polynomial: (x2-xy) (2x+6y), (_____) 2x Factor the polynomial: x2-5, x2-7x+6, 3x2+4x+1 Evaluate: l-30lxl 1 1 __ -__ l 5 3 Simplify the
Prove that X^n-1+X^n-2+........+X+1 is irreducible over Z iff n is prime.
Simplify the expressions:( 54b4 x4 1/3) ( ___________), (6ax4)2 (2x)-2, 5y 4b 16bx2 ___ + ____ axy2 b
Find the distance between each pair of points. If necessary round answers to two decimal places. (2 square root of 3, square root 6) and (- square root of 3, 5 square root of 6) ___________________ Find the midpoint of each line segment with the given endpoints. (-4, -7) and (1, -3)
Solve the system: 2x ≡ 1 (mod 3) 3x ≡ 2 (mod 5) 5x ≡ 3 (mod 2)
3) x -2 -1 0 1 2 y .25 .5 1 2 4 Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function. Graph Graph Type Explanation D
Polynomial Explanation. See attached file for full problem description.
Please see the attached file for the fully formatted problems. Let and be positive numbers such that Show that
4. 2 Solve 36x + 49 = 0 2 b. Find the x-intercepts of f(x) = 36x + 49. Solve. Give the exact solution and approximate solutions to three decimal places, when appropriate. 2 6. 3x - 7 = 0 2 16. (t-2) = 25
Please see the attached file for the fully formatted problems. Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. 14 9 23 20. so it should like this p q r I just didn't know how to d
Radical Expressions. See attached file for full problem description.
Derive an expression for the closed loop transfer function: h(s) = Y(s) ---- R(s) for a gain k = 10. Work i have done so far: Ea(s) = R(s) - B(s) = R(s) - H(s)Y(s) Because the output is related to the actuating signal by G(s), we have Y(s) = G(s) Ea(s) Therefore: Y(s) = G(
3.- a) Determine the number of polynomials f(x) of degree 6 over for which f(1)=1 and f(0)=1. b) Determine the number of polynomials of degree 6 over that are reducible but have no linear factors. How this is possible, please can you explain this? Hint Consider the possible factorizations. c) Determine
The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear. Using the Library, web resources, and other course material, research how sound is measured. Include the following items in your posting: The formula for meas
1. Please prove the following using induction. n choose 0 = n choose n = 1 for all n greater or equal to 0 n choose k = n - 1 choose k - 1 plus n - 1 choose k for all 0 < k < n; n greater than or equal to 0 2. Please prove using the Inclusion and Exclusion Principle. Patrons of a local bookstore can sign up fo
Solve and graph 52. [8x - 3(3x + 2)] - 5 > = 3(x + 4) - 2x Solve: 25. Elaine's height is 67in. Determine, in terms of an inequality, those weights W that will keep her body mass index below 25. 76. A long-distance telephone call using Down East Calling costs 10 cents for the first minute and 8 cents for each additional
A rock with a mass of 1 kilograms is put aboard an airplane in New York City and flown to Boston. How much work does the gravitational field of the earth do on the rock? I think the gravitational field G needs to be factored in.
Inequality Calculations. See attached file for full problem description. 9.1 52. [8x - 3(3x + 2)] - 5 ≥ 3(x + 4) - 2x First distribute it into the parenthesis, then move x into the left side of the inequality. Remember to change the sign if a negative number is multiplied or divided. 72. Elaine's height is 67 in.
While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.
Alice's Alterations has eight jobs to be completed and only one sewing machine (and one sewing machine operator). The following jobs are waiting to be scheduled for the sewing machine. The letter of the alphabet indicates the sequence in which the jobs arrived. It is now the beginning of Day 5. Job Processing Time (in da
When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx +
Many students incorrectly evaluate the indeterminate forms of type 0^0 , type ∞^0 , and type 1^∞ as 1 because they think that "anything to the zero power is 1" and "1 to any power is 1." These rules are indeed true for powers of numbers. But 00 , ∞0 , and 1∞ are not powers of numbers but descriptions of l
The length of a rectangle is two less than three times the width. If the area is 373.75 ft^2 find the width.
Find a equation of a line that passes through (-5,13) with slope -.75
Using the Library, web resources, and other course materials, find a real-life application of each graph. Relate the application to the specific graph (line, parabola, hyperbola, exponential). Describe the characteristics of each application as related to the graph.
Recently, you were assigned to manage a project for your company. You have constructed a network diagram depicting the various activities in the project (figure 3.15). In addition, you have asked your team to estimate the amount of time that they would expect their activities to take. Their responses are shown in the following t
1. Suppose that converges when x= -4 and diverges when x = 6. What can be said about the convergence or divergence of the following series? 2. Suppose that the power series 3. Suppose that the series Please see the attached file for the fully formatted problems.